A cart of mass kg slides down a frictionless ramp and is made to collide with a second c...

A cart of mass kg slides down a frictionless ramp and is made to collide with a second cart of mass kg, which then heads into a vertical loop of radius 0.25 m as shown in Figure P7.66. (a) Determine the height h from which cart 1 would need to start to make sure that cart 2 completes the loop without leaving the track. Assume an elastic collision. (b) Find the height needed if instead the more massive cart is allowed to slide down the ramp into the smaller cart.