A block and a handgun loaded with one bullet are firmly affixed to opposite ends of a massless cart that
rests on a level frictionless air table. The mass of the handgun is mg, the mass of the block is mbk, and the mass
of the bullet is mbt. The gun is aimed so that when fired, the bullet will go into the block. When the bullet leaves
the barrel of the handgun, it has a velocity vb as measured by an observer at rest with the table. Take the fall of
the bullet to be negligible and its penetration into the block to be small. (a) What is the velocity of the cart
immediately after the bullet leaves the gun barrel? (b) What is the velocity of the cart immediately after the
bullet comes to rest in the block? (c) How far has the block moved from its initial position at the moment when
the bullet comes to rest in the block?
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