How Far Does a Stationary Object Move When Struck by a Moving Object?

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To determine how far the second object moves after being struck, conservation of momentum is essential in calculating the velocity post-collision. The formula for momentum conservation is m*v = (m + M)*v', where v' is the velocity of the combined masses after the impact. Without friction, the object will continue moving indefinitely unless acted upon by another force. To find the distance traveled, one would typically need to consider factors like friction and the coefficient of restitution, which were overlooked in the initial discussion. Understanding these principles is crucial for accurately solving the problem.
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If I throw an object of mass m with a velocity v against another object of mass M and is stationary, how far would the second object move? Can you please show me how I would solve this? Just show me how to derive the distance it travels, algebraicaly.
 
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well you know about the conservation of momentum, and I assume the floor has friction. Use these ideas to solve how far it goes
 
Yeah using conservation of momentum I can always find the velocity the object will travel but how will I find how far. Ignore friction.
 
well if there's no friction on the floor, what is stopping it?
 
You would need to know the amount of friction and coefficient of restitution of the collision.
 
Jeez I didn't think of that. What an idiot I am. Sorry
 
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