In each of the following cases, two objects which we will label A and B, collide

Question

In each of the following cases, two objects which we will label A and B, collide. Consider the magnitude of the force that A exerts on B and B on A during the collision. Identify whether you expect them to be the same or, if not, which should be greater. Justify your answers.

A: A and B are identical, and B is at rest before the collision

B: A and B are identical objects moving toward eachother at the same speed

C: A is much more massive than B, and B is at rest before the collision

D: A is much more massive than B, and A is at rest before the collison

E: A is much more massive than B, and they are moving toward eachother

F: A is much more massive than B, and they are moving in the same direction; B overtakes A

G: A is much more massive than B, and they are moving in the same direction; A overtakes B

Explanation / Answer

according to newtons third law of motion , for action by object A , there is reaction by body B

 

, if they are interacting .

 

so in all these cases , since the systems are isolated , the force exerted by A  on B is exactly equal and

 

opposite

 

to force exerted by B on A .

 

no matter what their masses are , no matter what their their initial postion  and velocities are .

so the magnitude force on A by B = force on B by A ;

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