A tennis ball bouncing on a hard surface compresses and then rebounds. The detai

Question

A tennis ball bouncing on a hard surface compresses and then rebounds. The details of the rebound are specified in tennis regulations. Tennis balls, to be acceptable for tournament play, must have a mass of 57.5 { m g}. When dropped from a height of 2.5 { m m} onto a concrete surface, a ball must rebound to a height of 1.4 { m m}. During impact, the ball compresses by approximately 6 { m mm}. How fast is the ball moving when it hits the concrete surface? (Ignore air resistance.) A. 5, B. 7, C. 25, D. 50m/s? If the ball accelerates uniformly when it hits the floor, what is its approximate acceleration as it comes to rest before rebounding? A. 1000, B. 2000, C. 3000, D. 4000m/s? By what percent does the kinetic energy decrease? When a tennis ball bounces from a racket, the ball loses approximately 30% of its kinetic energy to thermal energy. A ball that hits a racket at a speed of 10m/s will rebound with approximately what speed?

Explanation / Answer

when the ball hits concrete surface v =2gh = 2*9.8*2.5 = 7 m/s

acceleration a = ?

v^2 = u^2 + 2aS

0 = 7^2 - 2a*0.006

hence a = 4083 or approximately~ 4000 ms/

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