I'm stuck on the questions provided

Momentum, Energy and Rotation 1. Find V, and V2. The collision is inelastic. 0.5 V = ? kg V = 10 m/5 30 0.5 0.8 ke KE 50 V1 = ? 0.8 KE 2. The cart is released from rest. The track is frictionless (and the cart has no problem with those abrupt changes in the incline). What is the maximum compression of the 520 N/m spring while catching the cart? The cart has a mass of 500 kg-| cart spring Mopper 34m 21m 3. Starting from rest, a wheel undergoes a constant acceleration for 20 s. When t = 3.0 s, the angular velocity of the wheel is 50 rpm. Through what angle does the wheel rotate from t = 0 to t = 20 s. 4. The professor has a rotational inertia of 200 kg.m'. His arms are 70 cm long and he is holding 10 kg dumbbells. If he is rotating at 5 rad/s with his arms extended, then how fast will he be rotating when he brings his arms inwards so that the masses are practically at his center