Finding the distance an object will travel

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Discussion Overview

The discussion revolves around determining the distance an object will travel when struck by a force on a horizontal surface. Participants explore concepts related to force, friction, acceleration, and the relationship between mass and distance traveled, with a focus on both theoretical and experimental aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • One participant questions the meaning of a force striking an object, suggesting that the duration of the force's application is crucial for understanding the resulting motion.
  • Another participant proposes using the formula for constant acceleration to find distance, given the initial velocity and the deceleration due to friction.
  • Some participants discuss the need for initial velocity to calculate the distance traveled, with one noting that the final speed is zero when the object comes to rest.
  • Concerns are raised about the implications of using constant acceleration when the acceleration may not be zero, highlighting the need for clarity on the initial conditions.
  • One participant emphasizes the importance of understanding the impact's effect on the object's momentum or energy to determine the distance traveled.
  • Another participant suggests that the scenario may be framed as an impulse-momentum problem to find constant acceleration.
  • A participant mentions conducting an experiment with a hammer to assess how mass affects the distance traveled, indicating a practical application of the discussion.
  • There is a reference to the equation involving force and acceleration, with a request for clarification on the time it takes for the object to come to a complete stop.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the force's impact and the necessary conditions to calculate the distance traveled. The discussion remains unresolved, with multiple competing perspectives on how to approach the problem.

Contextual Notes

Participants note the importance of initial conditions, such as initial velocity and the duration of the force's application, which are not fully defined in the discussion. There is also uncertainty regarding the assumptions about constant acceleration and the effects of friction.

Who May Find This Useful

This discussion may be useful for individuals interested in mechanics, experimental physics, or those exploring the relationship between force, mass, and motion in practical scenarios.

baseballer10p
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Hi. I have a question about finding the distance an object will travel along a horizontal surface. If I have a force striking an object directly in the horizontal direction, how would I go about finding how far it will travel? I already have found the frictional force acting on the object being struck, I have the mass of the object being struck, and the force striking the object. Just for clarification, this object will be sliding across a surface, not rolling. Also, there will not be, (or shouldn't be, hopefully) any movement in the vertical direction. If anyone can help me with this, it would be greatly appreciated.
 
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A force striking an object doesn’t mean anything. A force can act on an object for a certain period of time, due to which the momentum or velocity of the body is changed.

If the frictional force is constant, then force/mass will give the deceleration. Then just apply the formula for const accn, if you know the initial speed. The final speed is zero.
 
It's simple if consider the friction coeficient constant. The initial velocity is known (you've got to calculate it somehow), you can calculate the dynamic energy of the object: E =0.5mv^2. Then the distance is derived from the work done by friction force:
E = A = F*s.
 
Shooting star, if I use the formula for constant acceleration, then I will end up with this:
(V^2-V_0^2)/(2*a) = \Delta x
If I use this equation with no acceleration, then I won't be able to get a distance because you can't divide by zero. Or, is the acceleration not zero?
 
Last edited:
That's right. If the body comes to rest, then V=0, so you can find delta_x if you know the initial velo. (Remember, 'a' is -ve.)
 
what is "e" in the equation a = -ve?

Oh, also, I only know the force striking the object, I don't know the initial velocity.
 
Last edited:
"-ve" is short for negative.

As I have said earlier, "a force striking an object" is meaningless. You must know the duration for which it acted on the body, or some other information.
 
Ok, the force acted on the body for an instant; it struck the object, and the object started moving. It was similar to a hockey stick hitting a puck.
 
Then you have to give some info about what the impact did to the body -- chnage in momentum, energy, whatever...
 
  • #10
Are you sure this isn't an impulse momentum problem, from there you can find the constant acceleration.
 
  • #11
It's not really a problem, I'm doing an experiment where I hit an object with a hammer to see how far it travels. I have to determine whether the mass of the object affects how far it travels. Clearly it does, but I need some kind of relationship to prove it.
 
  • #12
F=ma-u, (F+u)/m equals net acelleration=a. now what is needed is the time the object travels when coming to a complete stop.
 

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