- #1

Silverbird

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I am trying to solve a conservation of linear momentum problem in which there are two unknowns. Object 1 (0.5 kg), going 7.0 m/s strikes Object 2 (1.0 kg) which is at rest. I need to determine the velocities of each object after the collision.

I know that it is necessary to use both the conservation of momentum and conservation of kinetic energy equations to solve the problem. I solved the momentum equation for v1' and plugged this into the KE equation. Cancelling the 1/2 and m1, I ended up with this:

v1^2 = [v1-(m2/m1)v2']^2 + (m2/m1)v2'^2

I am certain this is right up to this point. However, I am getting hung up in the algebra somewhere, because no matter what I do, I cannot get the correct answer (This is a study problem for which I have been given the answer, but not the means of solving.)

Could someone PLEASE go through the algebra STEP by STEP starting with the equation above and solving for v2'? Or, if this is not possible could you direct me to a resource where I can find this specific information?

I would be most grateful for any help, since there is a similar problem in my homework assignment and I am sure I will need to be able to do this for the test and for future problems. THANK YOU SO MUCH!