Ball Collision Average Force · PhysicsBowl 2010 #33

Physics · mechanics

Problem

A rubber ball of mass 2.0kg falling straight downward hits the ground with a speed of

0.90 \frac{\text{m}}{\text{s}}

and then rebounds straight upward with a speed of

0.60 \frac{\text{m}}{\text{s}}

. The collision time of the ball with the ground is

t = 0.25\text{s}

. Treat

g = 10 \frac{\text{m}}{\text{s}^2}

for this situation. What is the magnitude of the average force (in units of Newtons) exerted by the ground on the ball while they are in contact? (A) 2.4 (B) 12.0 (C) 20.0 (D) 26.0 (E) 32.0

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