Question

A ball strikes a horizontal plane with velocity 'V' and rebounds with 256/625 v after the fourth collision the coefficient of restitution is

Answer 1

After the fourth collision the coefficient of restitution is determined as 0.41.

How to calculate the coefficient of restitution?

The coefficient of restitution is a measure of how much kinetic energy is conserved in a collision.

Mathematically, it is given as;

e = (final relative velocity ) / ( initial relative velocity)

The given parameters include;

final relative velocity = 256v/625

initial relative velocity = v

After the fourth collision the coefficient of restitution is calculated as;

`e = ((256v)/(625) )/(v) \\\\e = (256 v)/(625) * (1)/(v) \\\\e = (256)/(625)`

e = 0.41

Thus, after the fourth collision the coefficient of restitution is determined as 0.41.