Reference no: EM132567519

A uniform, hollow sphere starts from rest and rolls down a 50.0 m high hill, as shown below. The top half of the hill is rough enough to cause the sphere to roll without slipping, but the lower half is covered with ice and there is no friction. Rotational inertia about its center of mass of a hollow sphere is Ihollow sphere = (2/3)MR2

What is the translational speed of the sphere when it reaches the bottom of the hill?

After reaching the bottom of the hill, the ball travels along the horizontal frictionless icy surface and enters a frictionless vertical loop. What is the radius of the loop if the ball just makes it around? Take the radius of the hollow sphere to be 1.00 m.