A ball of mass is dropped vertically from a height and rebounds to a height

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A ball of mass

m

is dropped vertically from a height

h_1

and rebounds to a height

h_2

. The ball is in contact with the floor for a time interval of

\tau

. (a) Show that the average *net* force on the ball is given by

F = m \frac{\sqrt{2gh_1} + \sqrt{2gh_2}}{\tau}

(b) If

h_1 = 8.0 \text{ m}

h_2 = 6.0 \text{ m}

\tau = 0.125 \text{ s}

and

m = 0.250 \text{ kg}

, calculate the average force exerted by the ball on the floor.