Jack and Jill are standing on a crate at rest on the frictionless, horizontal surface of a frozen pond. Jack has a mass of m1, Jill has a mass of m2, and the crate has a mass of m. They remember that they must fetch a pail of water, so each jumps horizontally from the top of the crate. Just after each jumps, that person is moving away from the crate with a speed of v relative to the crate. What is the the final speed of the crate if jack and jill jump off the crate simoltaneously in the same direction.
The Attempt at a Solution
I know that this has something to do with momentum
I solved the total momentum of the system equal to zero and solved for the v of the crate Vc.
m1v+m2v+mVc=o and solved for Vc to get
This is incorrect. I don't really know if I should be using momentum or conservation of energy in this problem. thanks for all your help.