A hockey puck of mass m is moving in the +x-direction at speed vP1 on a frictionless, horizontal surface. It collides with a stone of mass 2m that is initially at rest. After the collision the hockey puck is moving at an angle θ measured from the +x-direction toward the +y-direction and the stone is moving at the same angle θ but measured from the +x-direction toward the −y-direction. In order for the y-component of momentum to be conserved,

a) what must be the ratio of the final speed vS2 of the stone to the final speed vP2 of the hockey puck?

b) Use conservation of the x-component of momentum to find vS2 in terms of v1 and θ, where v1=vP1.

c) Use conservation of the x-component of momentum to find vP2 in terms of v1 and θ, where v1=vP1