Question

A moving ball (ball #1) makes a perfectly elastic collision with a stationary ball (ball #2). After the collision it is observed that the speed of ball #2 is five times that of ball #1. Determine the angles θ1 and θ2 that the two balls scatter as measured from the initial direction of ball #1. You may assume that the two balls have identical masses, and you may need the identity

sin2(x) + cos2(x) = 1.

Please explain any concepts and how you got your answer.

2)

A bullet having a mass of m = 0.005 kg is fired toward a wooden block that is initially at rest on a wooden floor. The mass of the wooden block is M = 4.0 kg.

1. a.) Determine the minimum speed that the bullet must strike the block if it is to cause the block to start sliding along the floor. You may assume that it takes about T = 0.05 seconds for the bullet to come to rest while embedding into the block.

2. b.) Assuming the bullet hits the block at the speed computed in part (a), determine how far the wooden block (with the bullet embedded in it) will slide along the wooden floor before coming to rest.

Answer 1