Chapter 9, Problem 12MCP

A uniform ball rolls without slipping toward a hill with a forward speed V. In which case will this ball go farther up the hill?

1. A.    There is enough friction on the hill to prevent slipping of the ball.
2. B.     The hill is frictionless.
3. C.     The ball will reach the same height in both cases, since it has the same initial kinetic energy in each case.