Energy Conservation: Kinetic Energy After Collision

AI Thread Summary
Energy conservation principles dictate that energy cannot be created or destroyed, only transferred. When a moving body collides with a stationary body, both acquire energy due to acceleration, raising questions about the source of this energy. The discussion emphasizes that kinetic energy exists in a moving body, defined as KE = 1/2 mv², and is not zero even if the body moves at a constant velocity. The law of conservation of momentum applies during collisions, indicating that while energy is transferred, it is not lost. The conversation highlights the importance of understanding kinetic energy and momentum in the context of collisions and motion.
newTonn
Messages
106
Reaction score
0
Energy can be neither created nor destroyed.
What is energy?. ability to do work.
what is work ? work = force x displacement.
Consider a body of mass 'm' moving at a uniform velocity 'v'.work done here is zero(no acceleration).So energy is zero.
DONT SAY KINETIC ENERGY is there.please check the derivation of kinetic energy.

Since work = F*d
and
F = m*a
then
work = m*a*d.

From kinematics we know that
d = 1/2 * a*t2
and
t = v/a.

so d = (1/2* a *v2)/ a2 = (1/2* v2)/ a

so work = m* a * (1/2* v2)/ a = 1/2 * m * v2.

in this derivation please note that t = v/a, is only applicable when initial velocity is zero. here initial and final velocity are v ,and kinetic energy will be zero.

now come back to the point.what will happen ,if this body hits another body at rest.?(mass is irrelevant-body at rest have no energy stored,isn't it?).

After collision, both of the bodies have energy(since there is an acceleration).

from where does this energy comes from.?
 
Last edited:
Physics news on Phys.org
How did the body come to be moving at a velocity 'v'?
 
newTonn said:
Energy can be neither created nor destroyed.
What is energy?. ability to do work.
what is work ? work = force x displacement.
Consider a body of mass 'm' moving at a uniform velocity 'v'.work done here is zero(no acceleration).So energy is zero.
DONT SAY KINETIC ENERGY is there.please check the derivation of kinetic energy.
You'd better check the definition of kinetic energy. If the body is moving, it has kinetic energy.
 
newTonn said:
now come back to the point.what will happen ,if this body hits another body at rest.?(mass is irrelevant-body at rest have no energy stored,isn't it?).

After collision, both of the bodies have energy(since there is an acceleration).

from where does this energy comes from.?

If the collide then the law of conservation of momentum comes into play, no energy is gained or lost?

m_{a}v_{oa}+m_{b}v_{ob} = m_{a}v_{fa}+m_{b}v_{fb}

If one car has a velocity of 0, then the other car would have to have some sort of velocity to hit it. Since one of your cars is not moving:

m_{a}v_{oa} = m_{a}v_{fa}+m_{b}v_{fb}

This means that since the masses cannot change there wil be a change in velocities, the change is going to vary depending on a few factors such as is the collision elastic or inelastic? Technically speaking if there was no friction or gravity the cars would never stop (I think), basically what I'm getting at is that there is no acceleration as a result of the collision, just from friction of the street (I'm assuming your cars are on a road) which is why the cars are going to accelerate negatively until their velocities are 0 and both are at rest.
 
Last edited:
Feldoh said:
If the collide then the law of conservation of momentum comes into play, no energy is gained or lost?

m_{a}v_{oa}+m_{b}v_{ob} = m_{a}v_{fa}+m_{b}v_{fb}

If one car has a velocity of 0, then the other car would have to have some sort of velocity to hit it. Since one of your cars is not moving:

m_{a}v_{oa} = m_{a}v_{fa}+m_{b}v_{fb}

This means that since the masses cannot change there wil be a change in velocities, the change is going to vary depending on a few factors such as is the collision elastic or inelastic? Technically speaking if there was no friction or gravity the cars would never stop (I think), basically what I'm getting at is that there is no acceleration as a result of the collision, just from friction of the street (I'm assuming your cars are on a road) which is why the cars are going to accelerate negatively until their velocities are 0 and both are at rest.
whatever way you look,you admit there is a change in momentum,which means a force and displacement is there.this finally means a work is done.So role of energy is relevent.
 
Doc Al said:
You'd better check the definition of kinetic energy. If the body is moving, it has kinetic energy.
This is not the way ,a scientist should look at the things.If you say there is kinetic energy in a moving body, you have to substantiate this with some logic or calculations

As i mentioned in my previous post, acceleration,a = (v2 - v1)/t , or t = a/(v2 - v1). In this case since v2 = v1 ; t = 0 ; so if you substitute this ,we can find out the kinetic energy is zero.

Otherwise Could you please derivate the kinetic energy formula ,for a body moving with a uniform velocity?or please give me a link.
 
Last edited:
newTonn said:
whatever way you look,you admit there is a change in momentum,which means a force and displacement is there.this finally means a work is done.So role of energy is relevent.

Change in momentum yes, but no energy is "gained" or "lost" it's simply (forgive me but it's the best word I could think of) transfered.

newTonn said:
This is not the way ,a scientist should look at the things.If you say there is kinetic energy in a moving body, you have to substantiate this with some logic or calculations

As i mentioned in my previous post, acceleration,a = (v2 - v1)/t , or t = a/(v2 - v1). In this case since v2 = v1 ; t = 0 ; so if you substitute this ,we can find out the kinetic energy is zero.

Otherwise Could you please derivate the kinetic energy formula ,for a body moving with a uniform velocity?or please give me a link.

a = \frac {\Delta{v}}{\Delta{t}}
Since it's a change in time I'd venture to guess that's an average acceleration not an instantaneous one. But last time I checked the forumla was

KE = \frac{1}{2}mv^{2}

If a body is moving it has a velocity that is NOT 0, therefore it has kinetic energy. You proved it yourself, acceleration doesn't matter you derived the equation in a why which acceleration "cancels out".
 
Last edited:
newTonn said:
derivate the kinetic energy formula ,for a body moving with a uniform velocity?

This formula is independent of a (non-accelerating) frame of reference:

work = 1/2\ m\ (\ V_1^2\ -\ V_0^2\ )

The simpler form

KE = 1/2\ m\ (\ V_1^2\ )

Is really just the first equation with V_0 = 0, so by definition, KE is the equivalent of the work it takes to accelerate or decelerate an object from V_0 to V_1. This allows KE to be defined (not derived) as a form of potential energy relative to a (non accelerating) frame of reference moving at V_0.
 
Last edited:
Feldoh said:
Change in momentum yes, but no energy is "gained" or "lost" it's simply (forgive me but it's the best word I could think of) transfered.



a = \frac {\Delta{v}}{\Delta{t}}
Since it's a change in time I'd venture to guess that's an average acceleration not an instantaneous one. But last time I checked the forumla was

KE = \frac{1}{2}mv^{2}

If a body is moving it has a velocity that is NOT 0, therefore it has kinetic energy. You proved it yourself, acceleration doesn't matter you derived the equation in a why which acceleration "cancels out".

Jeff Reid said:
This formula is independent of a (non-accelerating) frame of reference:

work = 1/2\ m\ (\ V_1^2\ -\ V_0^2\ )

The simpler form

KE = 1/2\ m\ (\ V_1^2\ )

Is really just the first equation with V_0 = 0, so by definition, KE is the equivalent of the work it takes to accelerate or decelerate an object from V_0 to V_1. This allows KE to be defined (not derived) as a form of potential energy relative to a (non accelerating) frame of reference moving at V_0.
Thank you Jeff,that's it.
I was expecting the same answer from many.
I will come to my point based on this answer.
What will happen if we use the same concept for force?
say the force acting on the mentioned body,moving with a uniform velocity v1 is F= mass x acceleration (from zero to final velocity).
So now force on the body is F = m * v1/t.
now consider this body accelerated to a velocity of v2 in the next interval of 't1' seconds.
Now at this instance , force on body is F2 = m*v2/t1
force on body if it was still traveling at v1 for t1 seconds will be F1 = m*v1/t1.
so what is the net force /residual force or whatever,which caused this acceleration?

net F = (m*v2/t1) - (m*v1/t1) = m * a .

Why? and what is the use of changing the perspective.

Isn't it a clear answer for Inertia of body moving at uniform speed?Is it because of this force(already acting),a body which is at rest or in uniform motion tries to resist any changes in the motion?

Well ,i hope it is clear.please don't see it with a prejudice and correct me ,if i am wrong anywhere
 
Last edited:
  • #10
newTonn said:
This is not the way ,a scientist should look at the things.If you say there is kinetic energy in a moving body, you have to substantiate this with some logic or calculations
You're kidding me, right? :rolleyes:

As i mentioned in my previous post, acceleration,a = (v2 - v1)/t , or t = a/(v2 - v1). In this case since v2 = v1 ; t = 0 ; so if you substitute this ,we can find out the kinetic energy is zero.
You are confusing change in kinetic energy with kinetic energy. From one second to the next, a body moving at constant speed has zero change in KE. The kinetic energy is certainly not zero.

Otherwise Could you please derivate the kinetic energy formula ,for a body moving with a uniform velocity?or please give me a link.
Look up the work-energy theorem, which relates work done to the change in KE. (http://hyperphysics.phy-astr.gsu.edu/hbase/work.html#wepr") As far as KE itself, it is defined to be 1/2 m v^2 (at least in Newtonian physics).
 
Last edited by a moderator:
  • #11
newTonn said:
Thank you Jeff,that's it.
I was expecting the same answer from many.
I will come to my point based on this answer.
What will happen if we use the same concept for force?
say the force acting on the mentioned body,moving with a uniform velocity v1 is F= mass x acceleration (from zero to final velocity).
So now force on the body is F = m * v1/t.
This is gibberish. Is the body moving with constant velocity or not? Acceleration is change in velocity over time, not a particular velocity over a particular time.

If the body is moving at a constant velocity, the net force on it is zero.


now consider this body accelerated to a velocity of v2 in the next interval of 't1' seconds.
Now at this instance , force on body is F2 = m*v2/t1
force on body if it was still traveling at v1 for t1 seconds will be F1 = m*v1/t1.
so what is the net force /residual force or whatever,which caused this acceleration?

net F = (m*v2/t1) - (m*v1/t1) = m * a .
In order for a body to change its velocity, a net force must act on it. That force is given by F_{net} = m a. Basic stuff! No need for vague concepts such as "residual force".

Isn't it a clear answer for Inertia of body moving at uniform speed?Is it because of this force(already acting),a body which is at rest or in uniform motion tries to resist any changes in the motion?
Nope. Newton figured this out centuries ago. No force is needed to maintain a constant velocity.
 
Last edited:
  • #12
newTonn said:
What will happen if we use the same concept for force?
say the force acting on the mentioned body,moving with a uniform velocity v1 is F= mass x acceleration (from zero to final velocity).
So we're saying F=m*a, which I'm sure you know is equivalent to F=dp/dt. I am just putting it out there for later use...
So now force on the body is F = m * v1/t.
I'm sure you mean F = m*dv/dt = m*a. Why that v1? Don't answer yet, I'll get to it in a second.
now consider this body accelerated to a velocity of v2 in the next interval of 't1' seconds.
Now at this instance , force on body is F2 = m*v2/t1
Remember F= m*dv/dt, mass times the Change in velocity over the Change in time. So with your method you'd say : F = m*(V2-V1)/(t2-t1)

force on body if it was still traveling at v1 for t1 seconds will be F1 = m*v1/t1.
so what is the net force /residual force or whatever,which caused this acceleration?
The force doesn't change. Its stays constant so long as acceleration (change in velocity) is constant.
net F = (m*v2/t1) - (m*v1/t1) = m * a .
Simplify that. F=m*(v2-v1)/t1=m*(dv)/(dt)= m*a
This is correct. Given a force F the mass "m" will accelerate from "v1" to "v2" over some period of time "t1" is correct.

You can't think of it as F(v), Force isn't a changing function of "v".
F(v1)=F(v2)=ma >> its constant in this example.


Why? and what is the use of changing the perspective.
Isn't it a clear answer for Inertia of body moving at uniform speed?Is it because of this force(already acting),a body which is at rest or in uniform motion tries to resist any changes in the motion?

Well ,i hope it is clear.please don't see it with a prejudice and correct me ,if i am wrong anywhere


I don't see what you're asking. Any mass needs a force to change its velocity. Thats Newtons 1st Law.
 
  • #13
Say the force acting on the mentioned body,moving with a uniform velocity v1 is F= mass x acceleration (from zero to final velocity). So now force on the body is F = m * v1/t.
Ok, so v0 = 0 in your example. The way you've written it, the component (v1/t) doesn't look like an acceleration. It should be
F = m * (v1 - v0) / (t1 - t0)
so that it's clear that the acceleration is represented as a change in velocity versus a change in time, even if v0=0 and t0=0.
net F = (m*v2/t1) - (m*v1/t1) = m * a
This is almost correct, write it as
F = m *(v2 - v1)/(t2 - t1).

These examples are assuming a constant force.
 
Last edited:
  • #14
Doc Al said:
Nope. Newton figured this out centuries ago. No force is needed to maintain a constant velocity.
What is the cause of inertia?Does anybody figured this before?
Inertia,for a body moving at constant velocity ,is the force acting on it ,which is the cause of displacement of the body.(whatever may be the cause.somebody pulled it or push it).
Our force in regular equation,F = m*a;is the additional force required to change its velocity in a given interval.
Inertia, for a body at rest (in space,where there is no gravitational field- A body at rest is a concept ony,it can be relatively at rest)is zero.
 
Last edited:
  • #15
Jeff Reid said:
Ok, so v0 = 0 in your example. The way you've written it, the component (v1/t) doesn't look like an acceleration. It should be
F = m * (v1 - v0) / (t1 - t0)
so that it's clear that the acceleration is represented as a change in velocity versus a change in time, even if v0=0 and t0=0.
This is almost correct, write it as
F = m *(v2 - v1)/(t2 - t1).

These examples are assuming a constant force.
please... t , t1 ,t2 etc. mentioned here are time intervals.(may be i am using wrong notations)
 
  • #16
newTonn said:
What is the cause of inertia?Does anybody figured this before?
Inertia,for a body moving at constant velocity ,is the force acting on it ,which is the cause of displacement of the body.(whatever may be the cause.somebody pulled it or push it).
That's still gibberish. Inertia is a stand-alone physical property of matter. "Cause" is irrelevant. Newton's first law states explicitly that no force is required to keep a body in motion, only to accelerate it. Don't think that because you are asking a question that physics doesn't care about that that automatically makes it new and profound. It isn't - it is simply irrelevant. I'm not sure how we can make you accept how inertia works, but you can see it in everyday life. It just does.
Our force in regular equation,F = m*a;is the additional force required to change its velocity in a given interval.
I don't see "additional force" in that equation, I only see "force". "Additional force" is something you have made up and it doesn't exist. It doesn't matter what you call it - "additional force" or "residual force": it doesn't exist.
Inertia, for a body at rest (in space,where there is no gravitational field- A body at rest is a concept ony,it can be relatively at rest)is zero.
A body is always at rest with respect to itself. Newton's first law is not picky on this point: whether at rest or just in a uniform/constant state of motion, it works the same.

Heck, this is a pretty clear flaw in your idea that uniform motion requires a constant force. Since you understand that uniform motion is frame of reference dependent, so too would the force be frame of reference dependent. And you can't have force be frame dependent. A scale reads what a scale reads and only that value.
please... t , t1 ,t2 etc. mentioned here are time intervals.(may be i am using wrong notations
No. They are not time intervals, they are just times - what you see when you stare at your watch. t0=0 seconds, t1=1 second, t2= 2 seconds, etc. The interval from t1 to t2 is (t2-t1)=2-1=1 second. So the acceleration over that interval is the change in velocity divided by the time interval in which the change occurred.

Jeff wrote it exactly correctly.
 
Last edited:
  • #17
russ_watters said:
That's still gibberish. Inertia is a stand-alone physical property of matter. "Cause" is irrelevant. Newton's first law states explicitly that no force is required to keep a body in motion, only to accelerate it. Don't think that because you are asking a question that physics doesn't care about that that automatically makes it new and profound. It isn't - it is simply irrelevant. I'm not sure how we can make you accept how inertia works, but you can see it in everyday life. It just does. I don't see "additional force" in that equation, I only see "force". "Additional force" is something you have made up and it doesn't exist. It doesn't matter what you call it - "additional force" or "residual force": it doesn't exist. A body is always at rest with respect to itself. Newton's first law is not picky on this point: whether at rest or just in a uniform/constant state of motion, it works the same.

Heck, this is a pretty clear flaw in your idea that uniform motion requires a constant force. Since you understand that uniform motion is frame of reference dependent, so too would the force be frame of reference dependent. And you can't have force be frame dependent. A scale reads what a scale reads and only that value. No. They are not time intervals, they are just times - what you see when you stare at your watch. t0=0 seconds, t1=1 second, t2= 2 seconds, etc. The interval from t1 to t2 is (t2-t1)=2-1=1 second. So the acceleration over that interval is the change in velocity divided by the time interval in which the change occurred.

Jeff wrote it exactly correctly.
Why weight?-because of gravity(everybody knows)
Why conductivity?-because of valence electrons(everybody knows)
Why Inertia?-Nobody knows-so don't ask that question-it is irrelevant.

Is that what you mean?

And Let us consider one of everyday situation.You are traveling in a car.Suddenly you applied break.(You forget to wear your seat belt).You are throwned forward.
why? because of inertia.-finished.
If i say,that force which was acting on you,which cause you to move at a velocity equal to that of the car is still acting on you and remains until another force acts upon you,is there anything wrong?-you can call it inertia.
if there was no gravity ,or any other forces,the force will continuously act on you ,keeping you to move at same velocity.
And regarding rest, i stated that relatively a mass can be at rest.
you stated it in another way that a body is always at rest with respect to itself(relatively at rest).
Finally,regarding the time intervals ,it was something regarding my derivation and i have all the right to tell somebody that by that notations i mean time intervals (i remember i appologise for using wrong notations).
 
  • #18
newTonn said:
Why weight?-because of gravity(everybody knows)
Why conductivity?-because of valence electrons(everybody knows)
Why Inertia?-Nobody knows-so don't ask that question-it is irrelevant.
You are welcome to ponder the "ultimate" source and meaning of inertia, but first learn a bit of physics.


And Let us consider one of everyday situation.You are traveling in a car.Suddenly you applied break.(You forget to wear your seat belt).You are throwned forward.
why? because of inertia.-finished.
Somewhere you've picked up the misconception that a force is required to keep you moving forward. Some ancient Greeks thought this, but we've since discovered otherwise.

If i say,that force which was acting on you,which cause you to move at a velocity equal to that of the car is still acting on you and remains until another force acts upon you,is there anything wrong?-you can call it inertia.
You seem nominally interested in physics, but not enough to pick up a textbook and learn what we already know. Constant velocity does not require a force!
if there was no gravity ,or any other forces,the force will continuously act on you ,keeping you to move at same velocity.
Nope. Again: Learn (or at least read about) Newton's laws. Learn what we mean by a "force". A force requires an agent: something doing the pushing or pulling. If you are moving at a constant velocity either all the forces acting on you have canceled out or there are no forces acting on you. (For the latter, imagine a spaceship coasting in outer space, away from all masses.)

And regarding rest, i stated that relatively a mass can be at rest.
you stated it in another way that a body is always at rest with respect to itself(relatively at rest).
What's relevant here is whether the body is accelerating or not.
 
  • #19
Doc Al said:
You are welcome to ponder the "ultimate" source and meaning of inertia, but first learn a bit of physics..
What would have been the scenario if human beings stopped thinking out of box(from what they learned till then).?

Somewhere you've picked up the misconception that a force is required to keep you moving forward. Some ancient Greeks thought this, but we've since discovered otherwise..
Tell me why you require a force to stop an object moving at uniform velocity?
With your force you have to cancel some other force.what is the other force.it is inertia.if you try to find an equation to find out that force,you will end up with my conclusion.

You seem nominally interested in physics, but not enough to pick up a textbook and learn what we already know. Constant velocity does not require a force
Nope. Again: Learn (or at least read about) Newton's laws. Learn what we mean by a "force". A force requires an agent: something doing the pushing or pulling. If you are moving at a constant velocity either all the forces acting on you have canceled out or there are no forces acting on you. (For the latter, imagine a spaceship coasting in outer space, away from all masses.)


What's relevant here is whether the body is accelerating or not.
Ok.A force require an agent.yes did i told you no?
To achieve a constant velocity,you require a force .isn't it?Agents role is finished there.
shall i explain?
consider a golf ball (at rest-relatively).
you hit it with the club(sorry if i am right-club is the stick i mean)
Now the ball is accelerating positively ,then negative acceleration and ultimately comes to a hault.
If you see any intervals,you can see there is a force acting on the ball.
But you cannot say,the club was hitting on the ball throughout the way.
Learning is something and understanding is something else.
Please don't undermine peoples.There is something to learn from every layman.
 
  • #20
newTonn said:
What would have been the scenario if human beings stopped thinking out of box(from what they learned till then).?
You should open the box and see what's in it. But first you must find the box. :wink:

Tell me why you require a force to stop an object moving at uniform velocity?
If you are asking why the world is the way it is, I can't answer that.
With your force you have to cancel some other force.
There is no force (at least no net force) acting on an object moving at uniform velocity. So there is no "other force" that you have to cancel.
what is the other force.it is inertia.if you try to find an equation to find out that force,you will end up with my conclusion.
Your conclusion is based on misunderstanding.


Ok.A force require an agent.yes did i told you no?
To achieve a constant velocity,you require a force .isn't it?
No!

Agents role is finished there.
shall i explain?
consider a golf ball (at rest-relatively).
you hit it with the club(sorry if i am right-club is the stick i mean)
Now the ball is accelerating positively ,then negative acceleration and ultimately comes to a hault.
If you see any intervals,you can see there is a force acting on the ball.
But you cannot say,the club was hitting on the ball throughout the way.
I have no idea what this example is supposed to tell us. If you wish to accelerate the golf ball, you must exert a force on it. True. So?
Learning is something and understanding is something else.
Please don't undermine peoples.There is something to learn from every layman.
Might I dare suggest that there is something to learn from studying basic physics?
 
  • #21
THE CLUB IS NOT HITTING THE BALL THROUGHOUT THE WAY OF BALL.BALL IS MOVING BECAUSE AGENT(CLUB) EXERTED A FORCE ON IT IN PAST,BUT THE FORCE REMAINS UNTIL THE END OF EVENT(UNTIL FORCE DIMINISHES AND BODY COMES TO REST WITH THE EFFECT OF GRAVITY).This has to be true if there is no gravity as well.
Now if you couldn't understand what my example is telling you..

(We can wake up a man who is sleeping.But we cannot wake up a man who is pretending so.)
 
Last edited:
  • #22
newTonn said:
THE CLUB IS NOT HITTING THE BALL THROUGHOUT THE WAY OF BALL.BALL IS MOVING BECAUSE AGENT(CLUB) EXERTED A FORCE ON IT IN PAST,BUT THE FORCE REMAINS UNTIL THE END OF EVENT(UNTIL FORCE DIMINISHES AND BODY COMES TO REST WITH THE EFFECT OF GRAVITY).This has to be true if there is no gravity as well.
Now if you couldn't understand what my example is telling you..
Using bold caps does not help. :rolleyes:

As soon as the club loses contact with the ball, it no longer exerts a force on the ball. If there are no other forces acting on the ball--such as gravity and air resistance--the ball will continue in a straight line at constant speed forever. But there are other forces acting on the ball. And when the ball hits the ground, the ground and grass exert other forces on the ball, eventually bringing it to rest. Once the ball is at rest, the net force on it is zero. So what?

(We can wake up a man who is sleeping.But we cannot wake up a man who is pretending so.)
Can't you hear the alarm clock ringing? Time to wake up!
 
  • #23
Doc Al said:
You should open the box and see what's in it. But first you must find the box. :wink:
It's over there! You can lead newTonn to a box, but you can't make him open it?
 
  • #24
newTonn said:
THE CLUB IS NOT HITTING THE BALL THROUGHOUT THE WAY OF BALL.BALL IS MOVING BECAUSE AGENT(CLUB) EXERTED A FORCE ON IT IN PAST,BUT THE FORCE REMAINS UNTIL THE END OF EVENT(UNTIL FORCE DIMINISHES AND BODY COMES TO REST WITH THE EFFECT OF GRAVITY).This has to be true if there is no gravity as well.

Except that it isn't true.

Er, sorry, I meant:

EXCEPT THAT IT ISN'T TRUE.
 
  • #25
Using your golf ball example:

You seem to think that once the ball is in the air, there must be some force acting on it to keep it moving. Unfortunately, Isaac Newton has told us that this isn't true.

The club exerts a force on the ball and accelerates it. It does work on the ball. This work is the transfer of energy from the club to the ball. After this work is done, the ball contains kinetic energy, with a magnitude of 1/2mv^2.

Work is then done by various forces to stop the ball. This work is done against the energy that was transferred to the ball by the club, not some force that is keeping the ball in motion. The ball, according to the law of inertia, will stay in motion until some net force acts upon it. In this case, air resistance and friction (once the ball hits the ground) will cause the ball to stop moving. Again, the work done by air resistance and friction is done against the work the club originally did on the ball, not against any force that has continued to act on the ball throughout its flight.

THE CLUB IS NOT HITTING THE BALL THROUGHOUT THE WAY OF BALL.BALL IS MOVING BECAUSE AGENT(CLUB) EXERTED A FORCE ON IT IN PAST,BUT THE FORCE REMAINS UNTIL THE END OF EVENT(UNTIL FORCE DIMINISHES AND BODY COMES TO REST WITH THE EFFECT OF GRAVITY).This has to be true if there is no gravity as well.

Here's where you're wrong: the force does not remain with the ball throughout its flight. The energy transferred to the ball by the force remains with the ball until it stops moving. The club does work on the ball, transferring energy to it. Once the ball is in the air, there is no force acting on it in the direction that it was originally hit. The forces of friction and air resistance now perform work against this moving body. This work is done to counteract the work that was originally done by the club - against the kinetic energy that the ball now contains. The work of air resistance and friction is not against any continuing force on the ball.

And just to be clear, gravity does not bring the ball to rest. It brings the ball down. Friction and air resistance bring the ball to rest.
 
Last edited:
  • #26
Remember also that when you hit a golf ball, the ball accelerates WHILE the club is touching the ball. As soon as it leaves the face of the club, it WILL NOT SPEED UP. It will maintain its velocity forever and ever and ever. Unfortunately, there are natural FORCES that will CHANGE THE VELOCITY of the ball. Thats what a force does, by definition. It CHANGES VELOCITY. F = MA where A is the CHANGE IN VELOCITY. So this ball that would go forever and ever at some constant velocity V unfortunately gets pulled on by Gravity and Air resistance. Which Change its Velocity V.

If you are applying a SINGLE FORCE on an object, it will forever ACCELERATE and its velocity will always increase (assuming no speed limit of light, but don't even ask about that yet).

You have to realize that THAT is what a force is.
 
Last edited by a moderator:
  • #27
Tell me why you require a force to stop an object moving at uniform velocity?
Because any change in velocity will require a force, whether it's to increase or decrease the velocity.

With your force you have to cancel some other force. What is the other force.
The other force is the "reactive force" of an accelerating or decelerating object, which correpsonds to inertia. This acceleration or deceleration can be linear (rate of movment) or angular (rate of rotation). When forces applied to an object do not cancel each other out, the object's velocity and/or rate of rotation changes. This "reactive force" is always equal to the imbalance in forces applied to an object, regardless of the inertia of an object. Inertia (mass times linear and angular movement) isn't considered to be a force, just a factor into how an object will react to external forces (with mass determining the rate of change versus applied forces).
 
  • #28
Doc Al said:
Using bold caps does not help. :rolleyes:

As soon as the club loses contact with the ball, it no longer exerts a force on the ball. If there are no other forces acting on the ball--such as gravity and air resistance--the ball will continue in a straight line at constant speed forever. But there are other forces acting on the ball. And when the ball hits the ground, the ground and grass exert other forces on the ball, eventually bringing it to rest. Once the ball is at rest, the net force on it is zero. So what?


Can't you hear the alarm clock ringing? Time to wake up!
Could anybody draw a freebody diagram of the ball ,just after the club hits the ball.
 
  • #29
Ariste said:
Using your golf ball example:

You seem to think that once the ball is in the air, there must be some force acting on it to keep it moving. Unfortunately, Isaac Newton has told us that this isn't true.

The club exerts a force on the ball and accelerates it. It does work on the ball. This work is the transfer of energy from the club to the ball. After this work is done, the ball contains kinetic energy, with a magnitude of 1/2mv^2.

Work is then done by various forces to stop the ball. This work is done against the energy that was transferred to the ball by the club, not some force that is keeping the ball in motion. The ball, according to the law of inertia, will stay in motion until some net force acts upon it. In this case, air resistance and friction (once the ball hits the ground) will cause the ball to stop moving. Again, the work done by air resistance and friction is done against the work the club originally did on the ball, not against any force that has continued to act on the ball throughout its flight.



Here's where you're wrong: the force does not remain with the ball throughout its flight. The energy transferred to the ball by the force remains with the ball until it stops moving. The club does work on the ball, transferring energy to it. Once the ball is in the air, there is no force acting on it in the direction that it was originally hit. The forces of friction and air resistance now perform work against this moving body. This work is done to counteract the work that was originally done by the club - against the kinetic energy that the ball now contains. The work of air resistance and friction is not against any continuing force on the ball.

And just to be clear, gravity does not bring the ball to rest. It brings the ball down. Friction and air resistance bring the ball to rest.
Please coool and try to solve this problem with a freebody diagram(at any instance after the club hits ball).and get confirmed that without showing the force exerted by club,the ball should move in opposite direction.(because all other forces you are mentioning here are acting on the opposite direction).
Forget about the ball.
If you found a body which is accelerating with respect to you,Do you say a force is acting on the body?(we don't know wheather it was hit by something,pulled by something etc)
 
  • #30
newTonn said:
This is completely wrong and i think since all forumn members are focused on me,they forget to correct you.please somebody explain healey,that acceleration requires a time interval.A body cannot accelerate instantaneously,by defenition.Somebody please explain him what a banana is.. and then let him come to explain what an apple or orange is.
Sorry, newTonnn, there is a time interval there. The ball is in contact with the club for a finite and measurable amount of time, during which it accelerates.
 
  • #31
newTonn said:
Please coool and try to solve this problem with a freebody diagram(at any instance after the club hits ball).and get confirmed that without showing the force exerted by club,the ball should move in opposite direction.(because all other forces you are mentioning here are acting on the opposite direction).
Forget about the ball.
If you found a body which is accelerating with respect to you,Do you say a force is acting on the body?(we don't know wheather it was hit by something,pulled by something etc)[emphasis added]
Assuming you mean after the ball leaves the club-face, the ball will then be in motion with only the force of gravity acting on it. The club is no longer accelerating it.

Yeah, the golf ball accelerates really quickly when hit by a golf club.
 
  • #32
newTonn said:
Please coool and try to solve this problem with a freebody diagram(at any instance after the club hits ball).and get confirmed that without showing the force exerted by club,the ball should move in opposite direction.(because all other forces you are mentioning here are acting on the opposite direction).
Forget about the ball.
If you found a body which is accelerating with respect to you,Do you say a force is acting on the body?(we don't know wheather it was hit by something,pulled by something etc)

No, no. You're not understanding.

After the ball leaves contact with the club, it has a pretty large velocity in what we'll call the forward direction. Yes, all other forces acting on the ball after it leaves the club are acting in the opposite direction, but these only act in response to the ball's movement relative to them. Through air resistance and friction, which act in the opposite of the direction of the ball's flight, the ball is brought to rest.

I think you are asking me why the ball does not begin to go backwards the other way after friction and air resistance bring it to a stop. You're saying that, if all forces acting on the ball after contact with the club (friction and air resistance) are pushing the ball backwards, the ball should slow to a stop and then begin to move backwards. As you can see in everyday life, though, this isn't the case.

Air resistance and friction only act on a body that is in motion relative to the agent of the air resistance or friction. When you push a box across the floor, the frictional force pushes against your push. When the box is just standing still, though, the frictional force doesn't push it backwards, or in any direction at all. Friction only acts against an applied force. Same with air resistance.

In the case of the golf ball, air resistance and friction bring the ball to rest, and once it's at rest, these forces cease acting, and the ball stays at rest. If you want to understand this in terms of free-body diagrams, you'll need to make at least two. After the ball leaves the club, there will be a force directed against the ball's motion (air resistance) and a force straight down (gravity). This diagram will stay pretty much the same until the ball hits the ground, when the frictional force will add to air resistance and create a greater force opposite the ball's motion. Once the ball comes to a rest, however, there will only be two forces acting on the ball in the diagram: the force of gravity straight down, and the normal force straight up. These forces will be exactly balanced, and there will be no other forces because the ball is not moving and thus friction and air resistance will not act on the ball. Since all forces are balanced, the ball will stay at rest.
 
Last edited:
  • #33
newTonn said:
Could anybody draw a freebody diagram of the ball ,just after the club hits the ball.
How about a very slow motion video of the impact? The club doesn't just hit the ball, it compresses the ball about 10% (iron) to 25% (club), and the ball springs back with a reasonably elastic reaction, so the ball leaves the club at a much higher velocity than the club is moving (club at 100mph, ball leaves at 170mph). Many golf broadcasts include "swing videos", such as this one, at the end is a super slow motion close up of the impact. I read that the duration of the interaction is about 5 milliseconds, (1 / 200th of a second), pretty quick. Note that the ball has bounced off the club about the same time that the club has only moved about 1/3rd of it's width over the tee.



As already posted, once the ball leaves the club, then the forces acting on it are aerodynamic drag and gravity, until the ball impacts with the ground (or trap, tree, spectator, ... ).
 
Last edited by a moderator:
  • #34
Jeff Reid said:
How about a very slow motion video of the impact? The club doesn't just hit the ball, it compresses the ball about 10% (iron) to 25% (club), and the ball springs back with a reasonably elastic reaction, so the ball leaves the club at a much higher velocity than the club is moving (club at 100mph, ball leaves at 170mph). Many golf broadcasts include "swing videos", such as this one, at the end is a super slow motion close up of the impact. I read that the duration of the interaction is about 5 milliseconds, (1 / 200th of a second), pretty quick. Note that the ball has bounced off the club about the same time that the club has only moved about 1/3rd of it's width over the tee.



As already posted, once the ball leaves the club, then the forces acting on it are aerodynamic drag and gravity, until the ball impacts with the ground (or trap, tree, spectator, ... ).


Hey, pretty neat video :) I didn't realize the ball compresses like that.
 
Last edited by a moderator:
  • #35
russ_watters said:
Assuming you mean after the ball leaves the club-face, the ball will then be in motion with only the force of gravity acting on it. The club is no longer accelerating it.

Yeah, the golf ball accelerates really quickly when hit by a golf club.
You didn't answer all my questions
let me ask it in a simple manner?
consider you are at rest or in uniform motion.
A rocket is moving at uniform velocity with respect to you.
Another rocket passed you with an acceleration.
(consider you don't know,wheather a thrust is applied on the rockets during its journey past you-you have been assingned to find out the force acting on these rockets).
What will be the force(net) acting on these rockets?
Do you use f = m*a in the case of second rocket? or do you say a force was acting on that rocket in past.
Please explain me how you will confirm,the acceleration was due to some action in past or it is attained during it was passing you.


regarding golf club really accelerates quickly.it depends on how hard you hit it.forgetting all other forces,we can say ,acceleration takes a time equal to the time required for ball to reach its final velocity from zero velocity.it never can be zero.
 
  • #36
newTonn said:
A rocket is moving at uniform velocity with respect to you.
If "you"'re not acceleration then that rocket with uniform velocity isn't accelerating either.

Another rocket passed you with an acceleration. What will be the force(net) acting on these rockets?
Zero on the first rocket. You'd have to know the mass of the second rocket, and if so, then force equals mass times acceleration.

I'll ingore the fact that the accelerating rocket is using fuel for it's thrust and therefore it's mass is decreasing over time as it accelerates.
 
  • #37
Jeff Reid said:
If "you"'re not acceleration then that rocket with uniform velocity isn't accelerating either.

Zero on the first rocket. You'd have to know the mass of the second rocket, and if so, then force equals mass times acceleration.

.
In the case of second rocket,
If you can use the equation force equals mass times acceleration(without knowing the time of application of thrust(force) ,it is equaly valid in the case of ball in the previous example.
So if you really mean what you say,you are confirming that a force is acting on an accelerating body,irrespective of the time of application of force(if it is accelerating).
you see the ball coming accelerating.[you din't see wheather it was hit by a club or thrown by somebody] .But you see the ball is accelerating,so of course as in the case of the second rocket,there should be a force acting on ball or not?
if still you say no ,there is no force acting (the force was acted only at the instant of club hit the ball).then you are challenging the equation or you are going to put some conditions(ie,force can be calculated only if acceleration is very quick or acceleration will be considered only at the instance of the application of force etc.etc)
 
Last edited:
  • #38
newTonn said:
Could anybody draw a freebody diagram of the ball ,just after the club hits the ball.
A free body diagram of the golf ball is easily drawn, but realize--as has been explained and illustrated already--that the force exerted by the club is not a constant force: when the club first touches the ball, the force is small; then it peaks as it smashes the ball; then, as the ball leaves contact with the club, the force goes to zero again. This all takes place in a very small--but certainly nonzero--time interval.

The freebody diagram of the ball would show:
Before the club hits: gravity acting down; normal force acting up.
As the club hits: gravity acting down; huge impulsive force of the club acting at some angle.
After the club loses contact: gravity acting down; air resistance acting in the opposite direction to its motion.

newTonn said:
You didn't answer all my questions
let me ask it in a simple manner?
consider you are at rest or in uniform motion.
A rocket is moving at uniform velocity with respect to you.
Another rocket passed you with an acceleration.
(consider you don't know,wheather a thrust is applied on the rockets during its journey past you-you have been assingned to find out the force acting on these rockets).
What will be the force(net) acting on these rockets?
Do you use f = m*a in the case of second rocket? or do you say a force was acting on that rocket in past.
Please explain me how you will confirm,the acceleration was due to some action in past or it is attained during it was passing you.
I think you are confusing velocity with acceleration. If the rocket is accelerating now, then there's a force acting on it now. If the rocket has some velocity now, and you know it had a different velocity at some earlier point, then you can deduce that at some time in the past a force must have acted on it.


regarding golf club really accelerates quickly.it depends on how hard you hit it.forgetting all other forces,we can say ,acceleration takes a time equal to the time required for ball to reach its final velocity from zero velocity.it never can be zero.
If a net force acts for some time interval, then a change in velocity will result.

newTonn said:
In the case of second rocket,
If you can use the equation force equals mass times acceleration(without knowing the time of application of thrust(force) ,it is equaly valid in the case of ball in the previous example.
So if you really mean what you say,you are confirming that a force is acting on an accelerating body,irrespective of the time of application of force(if it is accelerating).
you see the ball coming accelerating.[you din't see wheather it was hit by a club or thrown by somebody] .But you see the ball is accelerating,so of course as in the case of the second rocket,there should be a force acting on ball or not?
Again, if the ball is accelerating a net force must be acting on it.
if still you say no ,there is no force acting (the force was acted only at the instant of club hit the ball).then you are challenging the equation or you are going to put some conditions(ie,force can be calculated only if acceleration is very quick or acceleration will be considered only at the instance of the application of force etc.etc)
Once the ball loses contact with the club, of course the club no longer exerts a force on the ball.

Again, you seem to think that by examining the speed of something you can figure out its acceleration or deduce that some force is acting. Again, it's quite simple: Is the velocity changing now? If so, then there is a force acting on it now. If the velocity is steady now, then there's no net force acting on it now.

Of course, if you wish to measure the change in velocity, you'll need to make observations over some time interval.
 
  • #39
Doc Al said:
A free body diagram of the golf ball is easily drawn, but realize--as has been explained and illustrated already--that the force exerted by the club is not a constant force: when the club first touches the ball, the force is small; then it peaks as it smashes the ball; then, as the ball leaves contact with the club, the force goes to zero again. This all takes place in a very small--but certainly nonzero--time interval.

The freebody diagram of the ball would show:
Before the club hits: gravity acting down; normal force acting up.
As the club hits: gravity acting down; huge impulsive force of the club acting at some angle.
After the club loses contact: gravity acting down; air resistance acting in the opposite direction to its motion..
of course ,it is very easy to draw free body diagram.
yes .first case resultant is zero.so no motion-agreed.
second case,of course resultant is in the direction of motion of club,fine the ball will move in that direction.
But in the third case ,you can see the direction of resultant is opposite.so where should the ball move.?
in any freebody diagram,the object should move in the direction and with a magnitude equal to the resultant of all forces.
So don't you feel something is missing?At least don't you think the motion of ball has to be considered as a force in that direction?
 
  • #40
newTonn said:
of course ,it is very easy to draw free body diagram.
yes .first case resultant is zero.so no motion-agreed.
The net force is zero means that there's no change in motion, not that there's no motion. (In this case it's true that the ball is at rest.) A force is not required to maintain velocity: Newton's 1st law.

second case,of course resultant is in the direction of motion of club,fine the ball will move in that direction.
The direction of the change in velocity will be in the direction of the net force. In this case the ball starts from rest, so it will begin moving in the direction of the net force.
But in the third case ,you can see the direction of resultant is opposite.so where should the ball move.?
What do you mean by "direction of resultant"? The club is no longer exerting a force on the ball once they break contact. But now the ball has a high speed due to the impulse provided by the club, so it will just continue moving (of course gravity and air resistance will change its velocity). Again: Newton's 1st law.

in any freebody diagram,the object should move in the direction and with a magnitude equal to the resultant of all forces.
Incorrect. The direction of the change in velocity will be in the direction of the net force, not the velocity. Simple example: Toss a ball in the air. It follows a curved path, yet gravity always acts down.
So don't you feel something is missing?
Nope.
At least don't you think the motion of ball has to be considered as a force in that direction?
Of course not.

I urge you to study Newton's laws of motion. Start here: http://hyperphysics.phy-astr.gsu.edu/hbase/newt.html"
 
Last edited by a moderator:
  • #41
newTonn said:
In the case of second rocket,
If you can use the equation force equals mass times acceleration(without knowing the time of application of thrust(force) ,it is equaly valid in the case of ball in the previous example.
So if you really mean what you say,you are confirming that a force is acting on an accelerating body,irrespective of the time of application of force(if it is accelerating).
you see the ball coming accelerating.[you din't see wheather it was hit by a club or thrown by somebody] .But you see the ball is accelerating,so of course as in the case of the second rocket,there should be a force acting on ball or not?

if still you say no ,there is no force acting (the force was acted only at the instant of club hit the ball).then you are challenging the equation or you are going to put some conditions(ie,force can be calculated only if acceleration is very quick or acceleration will be considered only at the instance of the application of force etc.etc)

Important bits bolded.

Are you implying here that the ball is accelerating in the forward direction through the air after it leaves the club? That seems to me what you're trying to say, and it's completely wrong.

Once the ball leaves the club, it has no forces acting on it besides air resistance and gravity. So if I'm hanging out in the air and see this ball fly past me, I would see that it has a substantial velocity in the forward direction and a small acceleration in the backward direction. In other words, the ball would be slowing down, not speeding up. I would not see the ball going faster and faster as it approaches me. I would see it going slower and slower. The only conclusion that I could correctly draw from this is that the net force on the ball is in the backward direction. This is the correct conclusion.

newTonn said:
But in the third case ,you can see the direction of resultant is opposite.so where should the ball move.?
in any freebody diagram,the object should move in the direction and with a magnitude equal to the resultant of all forces.

No, no, no. The direction of the net force is opposite in this diagram, yes. But you're misinterpreting what a net force does. A body does not necessarily move in the same direction as the net force that is applied to it. It will accelerate in that direction, and, if given an adequate period of time, will eventually move in that direction. It does not immediately have to move in that direction, though.

Consider the case of a car. When a car is moving forward at a constant velocity, all of the forces acting on the car - the engine's thrust in the forward direction, rolling friction and air resistance in the backward direction, gravity in the downward direction, normal force in the upward direction - are balanced. Say this car is moving at 90mph North.

What happens when the driver of this car takes his foot off the gas and applies the brakes? Now what would the free-body diagram for this car look like? All forces would be directed South, right? But does this car immediately stop and begin moving South? No, it begins to decelerate. If, say, the brakes were applied for 2 seconds, perhaps the car would slow down to 70mph, but it would still be moving North, even though, for a certain time interval, all of the forces on the car were pushing South.

This is the same as the case of the ball. When the ball is in the air, say it is moving at 150mph North. All of the forces on the ball will be acting in the South direction, but this does not mean that the ball moves South. It simply accelerates to the South. It accelerates in the opposite direction of the its motion; in other words, it slows down. It does not immediately stop and turn around. This is directly analogous to the car situation.

What is it that you're not understanding here? Maybe it's the definition and behavior of a force? A force does not cause motion, it causes acceleration. Don't confuse the two.
 
  • #42
Alright... enough is enough.
I'm staying 'way the hell back from any of that math stuff. Even without it, it's bloody obvious that a relatively moving body has kinetic energy. If you don't believe it, try standing in front of a bullet.
As for the cause of inertia, it's just the reluctance of mass to change its current state of motion. (And the last that I read, we don't yet know what 'causes' mass.)

edit: Wow... a tonne of responses in there while I was composing this. I'd love to read them all, but since I'm at work, I'm too drunk to follow them.
 
Last edited:
  • #43
newTonn,
I'm going to add some points to these other good posts. You have a confused notion about force and inertia which I can't quite follow from your posts.

Inertia is purely the conservation of momentum.

Kinetic momentum (mass times velocity) is conserved in the absence of forces.

Kinetic energy (approximately half mass times squared velocity) is conserved in the absence of forces.

A force applied to an object changes its kinetic energy (Newtonian scalar) in proportion to how far the object travels in the direction of the force,
and changes its kinetic momentum (Newtonian vector) in proportion to how long it is applied.

When considering "instantaneous" forces we are ignoring the time and distance element and the magnitude of the force and only looking at these product components of change in momentum and change in kinetic energy.

\Delta here means "change in", T means kinetic energy and \mathbf{P} means (vector) momentum.
\Delta KE = \mathbf{F}\cdot \Delta \mathbf{X} (force constant throughout the displacement)
\Delta \mathbf{P} = \mathbf{F}\Delta t

Once you understand momentum and energy and how forces change these, then consider acceleration as change in velocity and thus how forces accelerate by changing the momentum which is proportional to the velocity.

Finally let me say that you are trying to analyze scenarios verbally without breaking down and doing the vector math. You really really really need to dig through the mathematics to see how everything fits together.

Start with two massive balls colliding in two scenarios: bouncing off each other (elastic collision where energy is conserved) and hitting and sticking to each other (inelastic collision where energy will not be conserved).

Try first one dimensional and then two dimensional scenarios.

In fact you should work out billiard ball collisions on the table, identifying where the cue must hit the object ball to make a shot, and then where the cue ball ends up hitting the bank (to see if you will scratch). This is a good practical exercise and you can test your calculations at the nearest pool hall.

To figure the angles assume the force between the balls is perpendicular to their surface at the point of contact (i.e. ignore ball-ball friction).

Remember that you can hypothesize and deduce all day but none of this has scientific meaning until you test your hypotheses with empirical experiments. The pool shot exercises will be both instructive and fun.
 
  • #44
Oh, sure... go and get math involved again... :rolleyes:
Nice post, James. :smile:
 
  • #45
I think the major issue is Newtonn is picturing the golfball still accelerating FORWARD after it leaves the club. Which it isnt.

But he IS right in that , the free body diagram, the forces are not net zero.

There is a force that is due to air resistance, this pushes say, to the left if the ball was hit to the right.

There is a force downward due to gravity.

So if you took a static picture of the ball, you would say that it would move down and left, correct?

BUT the ball had an initial velocity, so that velocity WILL slow down. But remember that wind resistance is a FUNCTION of its RIGHTWARD VELOCITY. So once it slwos down to zero to the right, it won't keep going left. Theres no more force on it leftward.

As for the gravity, since it was hit UP, the gravity SLOWS it first to Zero (its peak) then it DOES move DOWN. And it would keep accelerating if it could never hit the earth.
As for your rocket example. The second rocket that is ACCELERATING past you MUST have a current thrust. Once the thrust stops, the acceleration stops. They are the same thing. You cannot thrust some rocket, stop the burners/jets, and expect it to continue accelerating. It stops accelerating the INSTANT that thrust stops, and continues at its current velocity.

Please respond with your questions.

So, remember, that "acceleration" can mean going from 100 m/s to 50 m/s. Slowing is acceleration too. Don't forget that. Accel is the change in speed, in any direction. So it has to change its current velocity.
 
  • #46
Doc Al said:
The net force is zero means that there's no change in motion, not that there's no motion. (In this case it's true that the ball is at rest.) A force is not required to maintain velocity: Newton's 1st law.


The direction of the change in velocity will be in the direction of the net force. In this case the ball starts from rest, so it will begin moving in the direction of the net force.

What do you mean by "direction of resultant"? The club is no longer exerting a force on the ball once they break contact. But now the ball has a high speed due to the impulse provided by the club, so it will just continue moving (of course gravity and air resistance will change its velocity). Again: Newton's 1st law.


Incorrect. The direction of the change in velocity will be in the direction of the net force, not the velocity. Simple example: Toss a ball in the air. It follows a curved path, yet gravity always acts down.

Nope.

Of course not.

I urge you to study Newton's laws of motion. Start here: http://hyperphysics.phy-astr.gsu.edu/hbase/newt.html"
Al together you are saying ball is attaining its final velocity (in the absense of other forces)from the same position(where it was staying at rest) and at the same instance(no interval),when the club hit the ball.
still i cannot digest,how a velocity (and thus an acceleration)is acquired without displacement of ball?
 
Last edited by a moderator:
  • #47
newTonn said:
Al together you are saying ball is attaining its final velocity (in the absense of other forces)from the same position(where it was staying at rest) and at the same instance(no interval),when the club hit the ball.
still i cannot digest,how a velocity (and thus an acceleration)is acquired without displacement of ball?

Why don't you reply to any of my responses? I've given you answers to all the questions you are asking, as have others, yet you refuse to acknowledge them.

I get the sense that you are more interested in being right than in being correct.
 
  • #48
Ariste said:
Important bits bolded.

Are you implying here that the ball is accelerating in the forward direction through the air after it leaves the club? That seems to me what you're trying to say, and it's completely wrong.

Once the ball leaves the club, it has no forces acting on it besides air resistance and gravity. So if I'm hanging out in the air and see this ball fly past me, I would see that it has a substantial velocity in the forward direction and a small acceleration in the backward direction. In other words, the ball would be slowing down, not speeding up. I would not see the ball going faster and faster as it approaches me. I would see it going slower and slower. The only conclusion that I could correctly draw from this is that the net force on the ball is in the backward direction. This is the correct conclusion..
Again you are saying the same thing.
The ball attains its final velocity from same position and same instance.
how can it be possible? forget about all other forces exept that from club.Does the ball require a time interval to reach its final velocity?and is a displacement necessary ,to acquire a velocity?
 
  • #49
Ariste said:
Why don't you reply to any of my responses? I've given you answers to all the questions you are asking, as have others, yet you refuse to acknowledge them.

I get the sense that you are more interested in being right than in being correct.
Sorry Ariste,it is 8.54 am in this part of the world.While you were sending this message,i was writting a reply for you.
Not at all,i would like to be corrected in a correct manner.
 
  • #50
newTonn said:
Again you are saying the same thing.
The ball attains its final velocity from same position and same instance.
how can it be possible? forget about all other forces exept that from club.Does the ball require a time interval to reach its final velocity?and is a displacement necessary ,to acquire a velocity?

It's kind of hard to understand what you're trying to say, but I'll take a stab at it.

I don't know what you mean by the first sentence at all, but as for the other parts of your post:

Yes, the ball requires a time interval to reach its final velocity, and yes there is a displacement necessary to acquire this velocity.

The ball is in contact with the club for a small but definite interval of time. It appears to us that the ball is only in contact with the club instantaneously, but in reality (as was shown by a video posted earlier), the ball is in contact with the club for a few hundredths of a second. There is no conflict with the laws of physics here. The ball is accelerated very quickly over a short distance and a short time period.
 

Similar threads

Replies
2
Views
1K
Replies
2
Views
1K
Replies
11
Views
2K
Replies
3
Views
959
Replies
13
Views
2K
Replies
53
Views
4K
Back
Top