Question

A carnival game consists of a two masses on a curved frictionless track, as pictured below. The player pushes the larger object so that it strikes the stationary smaller object which then slides follows the curved track so that it rises vertically to a maximum height, h_{max}h ​max ​​ . The masses are equipped with elastic bumpers so that the impact between them is an elastic collision. If the larger object has a mass , M = 6.61 ~\text{kg}M=6.61 kg and the smaller object has a mass of m = 0.700~\text{kg}m=0.700 kg, then with what velocity, v_0v ​0 ​​ should the player release the larger object so that the smaller object just reaches the target maximum height of h_{max} = 3.0 mh ​max ​​ =3.0m above the horizontal portion of the track?

Answer 1