I have no intuition. Momentum problem

  • Thread starter Thread starter flyingpig
  • Start date Start date
  • Tags Tags
    Intuition Momentum
Click For Summary
SUMMARY

This discussion centers on the application of Newton's Third Law of Motion in various scenarios involving two objects of differing masses. Participants agree that in all cases, the forces exerted by the objects on each other are equal in magnitude but may result in different accelerations due to their mass differences. The consensus is that the correct answer to the posed questions is option B, indicating that the objects exert the same size force on each other. The conversation emphasizes the importance of understanding the distinction between force and the resulting motion of the objects.

PREREQUISITES
  • Newton's Third Law of Motion
  • Newton's Second Law of Motion
  • Basic principles of mass and acceleration
  • Understanding of force interactions in physics
NEXT STEPS
  • Study detailed examples of Newton's Third Law in real-world applications
  • Explore the mathematical implications of Newton's Second Law (F=ma)
  • Investigate momentum conservation in collisions
  • Learn about impulse and its relation to force and time
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the fundamental principles of motion and force interactions.

flyingpig
Messages
2,574
Reaction score
1

Homework Statement



Q1) Suppose the mass of object A is greater than that of object B and that it is moving towards B, which is at rest.
Will:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q2) Suppose the mass of object A is much greater than that of object B and that object B is moving in the same direction as object A but not as fast. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q3) Suppose the mass of object A is much greater than that of object B and that both objects are at rest until an explosion occurs. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A



The Attempt at a Solution




My so called intuition tell mse all the answer is B because of action = minus reaction. i know I am wrong...

Could anyone show me the intuiton method vs math method.
 
Physics news on Phys.org
You're right, Newton's 3rd Law is the key here.
 
flyingpig said:

Homework Statement



Q1) Suppose the mass of object A is greater than that of object B and that it is moving towards B, which is at rest.
Will:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q2) Suppose the mass of object A is much greater than that of object B and that object B is moving in the same direction as object A but not as fast. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A

Q3) Suppose the mass of object A is much greater than that of object B and that both objects are at rest until an explosion occurs. Predict:
A. Object A exerts a larger force on object B
B. The objects exert the same size force on each other
C. Object B exerts a larger force on object A



The Attempt at a Solution




My so called intuition tell mse all the answer is B because of action = minus reaction. i know I am wrong...

Could anyone show me the intuiton method vs math method.

Your intuition is no doubt calling from the back of your mind.

Luke Skywalker heard "use the force" in Star Wars

You are hearing " Use Newtons Third law ! " in Physics.

Trust the voices you hear!
 
PeterO said:
Your intuition is no doubt calling from the back of your mind.

Luke Skywalker heard "use the force" in Star Wars

You are hearing " Use Newtons Third law ! " in Physics.

Trust the voices you hear!

And see a medical professional.
 
But I am using the dark forces...lead me to the right way.
 
Okay I misread the question. It's asking the force at the impact or after? If it is after, it will always be B?

If it is at the point of contact then

1) It has to be A because B will experience a change in velocity?
2) No clue still
3) I am just going to guess that at the point of exploding, it is the same as 1)?
 
There will be no force after impact. The impact IS where the forces are happening.

And Newton's 3rd law says the forces will be equal in magnitude. Forces ALWAYS occur in equal magnitude pairs.
 
For a second there I confused velocity and acceleration. Anyways I htink I was right initally then.

In all cases, the force is the same because the heavier mass will probably travel a shorter distance with a slower velocity given the same force, but the light mass will travel further with a greater change in velocity. Yes?
 
flyingpig said:
Okay I misread the question. It's asking the force at the impact or after? If it is after, it will always be B?

If it is at the point of contact then

1) It has to be A because B will experience a change in velocity?
2) No clue still
3) I am just going to guess that at the point of exploding, it is the same as 1)?

NO no no, it is always B. Newtons third law.

The size of the forces is equal. The effects of the force are different [Newtons Second law explains that one]

When the multi-kg baseball bat strikes the fraction-of-a-kg ball, the bat slows slightly, while the ball accelerates at an enormous rate [and the velocity it gains in that fraction of a second is enough to see it clear the fence before is falls back to ground]
Actually it would have to be golf - Body B was at rest

Example 3 is just the example of a rifle. Once the cartridge explodes, the rifle "recoils" slightly and the bullet heads off at extremely quickly under the influence of two forces, equal in magnitude and opposite in dirction.
 
  • #10
flyingpig said:
For a second there I confused velocity and acceleration. Anyways I htink I was right initally then.

In all cases, the force is the same because the heavier mass will probably travel a shorter distance with a slower velocity given the same force, but the light mass will travel further with a greater change in velocity. Yes?

I shall adjust your sentence - using underscore to identify deletions, and italics to show additions:

In all cases, the force is the same. because The heavier mass will have probably travel a shorter distance with a slower smaller velocity change given the same force, but the light mass will travel further withhave a greater change in velocity.

Yielding:

In all cases, the force is the same. The heavier mass will have a smaller velocity change given the same force, but the light mass will have a greater change in velocity.
 
  • #11
You're right with all Bs.

But the acceleration will be different:

ma=m'a'
a=m'a'/m

For the acceleration on the first object, be it bigger or smaller.
 

Similar threads

Replies
13
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 25 ·
Replies
25
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 15 ·
Replies
15
Views
2K