A golf ball hits a wall and bounces back at 3/4 the original speed.What part of the original kinetic energy of the ball did it lose in the collision?

Question

Quizplus · Accepted Answer

The kinetic energy (KE) of an object is given by the formula KE = 1/2 mv^2, where m is the mass of the object and v is its velocity. If the ball bounces back at 3/4 of its original speed, its new kinetic energy is KE_new = 1/2 m (3/4v)^2 = 1/2 m (9/16)v^2 = 9/16 KE_original. Therefore, the ball loses 1 - 9/16 = 7/16 of its original kinetic energy in the collision.

A Golf Ball Hits a Wall and Bounces Back at 3/4