cart with a mass of 5.75 kg rolls down a hill that 1.55 m high. Assuming that the cart started from rest and ignoring friction (for questions a to d below) and assuming no rolling inertia of the wheels, answer the following:

a) What is the cart's linear velocity at the bottom of the hill?

b) What is the cart's final linear kinetic energy?

c) What is the cart's linear momentum at the bottom of the hill?

d) If the wheels on the cart have a radius of 0.10 m, what is the angular velocity of a wheel at the bottom of the hill?

e) If the cart lost 10 Joules of energy when it got to the bottom of the hill and then started rolling up another hill, how high up could the cart go before it would come to a stop ignoring any other friction on the way up?