Question

We observe a glancing collision between two billiard balls of the same mass. The first ball is incident at a speed of 5.72 m/s, strikes the second ball (initially at rest) and moves off with a speed of 5.03 m/s at an angle of 28.5° counterclockwise from the original line of motion. The second ball is initially at rest and after the collision moves off with a velocity which we wish to describe with respect to the first ball's original line of motion. Determine the following.

(a) Ignore the fact that the two balls are rotating and determine the velocity (magnitude and direction) of the second ball after the collision.

magnitude	m/s
direction	° counterclockwise from the original line of motion

Answer 1

Equation (1)+ Equation (2)2 v2, sin 6)) + co (-4.42 m/s) (123m/s) 2,-4.59m/s Plug the value of v, in Equation (1) cosa, = 1 .23 m/s 1.23 m/s -1 1.23m/s 4.59 m/s = 15.54。 The final velocity of second ball Magnitude 4.59 m/s 15.54° counter clockwise from the original line of motion Direction