A bullet of inertia \(m\) traveling at speed \(v\) is fired into a wooden block that has inertia \(4 m\) and rests on a level surface. The bullet passes through the block and emerges with speed \(v / 3\), taking a negligible amount of the wood with it. The block moves to the right but comes to rest after traveling a distance \(d\).

(a) What is the magnitude of the frictional force between the block and the surface while the block is moving?

(b) What is the ratio of the energy dissipated as the bullet passes through the block to the energy dissipated by friction between the surface and the bottom face of the block?