Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

the coefficient of restitution, e, of a ball hitting the floor is defined as the

ID: 1285187 • Letter: T

Question

the coefficient of restitution, e, of a ball hitting the floor is defined as the ratio of the speed of the ball right after it rebounds from the impact to the speed of the ball right before it hits the floor; that is, {e = v,after / v,before}. a) Derive a formula for the coefficient of restitution when a ball is released from an initial height H and rebounds to a final height h. b) Calculate the coefficient of restitution for a golf ball that bounces to a height of 60 cm after having been released from a height of 80cm.

Explanation / Answer

e= V2-U2/U1-V1 ==> sqrt(2gh)/sqrt(2gH)==>(h/H)

b)e=60/80= 0.86 is ans