Impact - Example Problem 9.4-4

 

A cue ball with an initial velocity of 5 m/s strikes another billiard ball that is initially at rest at the angle θ = 30 degrees shown. If the coefficient of restitution is e = 0.9, determine the motion of both balls immediately following the impact. Also, calculate the percentage of energy lost as a result of the impact.

 

 

Given:

• v_A = 5 m/s
• v_B = 0
• θ = 30^o
• e = 0.9

 

Find:

• v'
• %ΔE

 

What is the speed of the cue ball, prior to impact, in the direction of the plane of contact (x - direction)?

 

v_Ax = m/s