Final answer:
The coefficient of restitution for the ball is 0, for a ball falls on the ground fro a height of 2.0 m and rebounds up to a height of 1.5 m.
Step-by-step explanation:
The coefficient of restitution (c) is a measure of the elasticity of a collision between a ball and an object. It is defined as the ratio of the speeds after and before the collision. In this case, the ball falls from a height of 2.0 m and rebounds to a height of 1.5 m.
First, calculate the velocity just before the ball strikes the ground using the equation v = sqrt(2gh), where v is the velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height (2.0 m).
Plug in the values:
v = sqrt(2 * 9.8 * 2.0)
= 6.26 m/s.
To find the velocity just after the ball leaves the ground, use the equation v' = e * v, where e is the coefficient of restitution and v is the initial velocity.
Since the ball rebounds to a height of 1.5 m, the final velocity is zero at the highest point.
Plug in the values: 0 = e * 6.26 m/s.
Solving for e, we get e = 0.
Therefore, the coefficient of restitution for this ball is 0.