Question

1. A 20 kg block is attached to a very light horizontal spring of force constant 500 N/m and is resting on a frictionless horizontal table. Suddenly it is struck by a 3kg stone travelling horizontally to the right at 8m/s, whereupon the stone rebounds at 2m/s horizontally to the left. Find the maximum distance that the block will compress the spring after collision. Draw two diagrams: one for the collision and one for energy.

2. A rifle of mass M is initially at rest, but is free to recoil. It fires a bullet of mass m with velocity v to the right with respect to the ground. After the rifle is fired, its velocity relative to the ground is

a.mv/(m+M) to the left with respect to the ground

b. mv/(m+M) to the right with respect to the ground SHOW YOUR WORK

c.mv/M to the left with respect to the groundd. mv/M to the right with respect to the ground

Answer 1