# Object collisions: momentum and force

2 semi-related questions:
1)If momentum is conserved in a system of 2 objects colliding and we are aware of their masses and initial velocities, let's say object 1 is moving at a certain velocity towards object 2 at rest, is there any way to solve for their final velocities without knowing one of their final velocities? I know you can solve for this in a perfectly inelastic collision but how about in an elastic or inelastic collision? If not can this be explained by forces?

2) if object 1 was initially at rest and an a certain amount of force acted on it for a brief moment but then subsides, setting object 1 at a constant velocity on a collision course with object 2 (at rest) and after the collision object 2 has the same momentum as object 1 at a constant velocity before the collision (object 1 comes to rest after) will the given force on object 1 be equal to the magnitude of the force on object 2 in the collision?

Vf= Final velocity
Vi= Initial velocity
A= Acceleration
D= Distance

That's a kinematic equation for a single object, I don't think that was what I was looking for

sophiecentaur