Jumping Ball
How far will the ball jump after bouncing off the floor?
A solid elastic ball rapidly rotating around horizontal axis is dropped onto the floor from height h=50 inch. The ball bounces elastically. How far away the ball will land?
Friction between the ball and the floor is μ=1/2
It hits the ground with velocity √(2gh) and rebounds with the same vertical velocity in the opposite direction.
Vertical impulse = 2m√(2gh)
The friction due to the spin causes a horizontal impulse
= 2mμ√(2gh)
Time taken to fall back down = 2√(2h/g)
Horizontal distance travelled during this time
= 2μ√(2gh) * 2√(2h/g)
= 8μh
= 200 inches
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