A moving ball (ball #1) makes a perfectly elastic collision witha stationary ball (ball #2). After the collision it is observedthat the speed of ball #2 is five times that of ball #1. Determinethe angles θ1 and θ2 that the two balls scatter as measured fromthe initial direction of ball #1. You may assume that the two ballshave 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 woodenblock that is initially at rest on a wooden floor. The mass of thewooden block is M = 4.0 kg.
a.) Determine the minimum speed that the bullet must strike theblock 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 bulletto come to rest while embedding into the block.
b.) Assuming the bullet hits the block at the speed computed inpart (a), determine how far the wooden block (with the bulletembedded in it) will slide along the wooden floor before coming torest.
