1. To be a regulation basketball, the ball must be inflated ina way that when dr

Question

1. To be a regulation basketball, the ball must be inflated ina way that when dropped from a height of 100 inches, it returns toa height of 73 inches on the first bounce. What is the coefficientof elasticity for this ball? 2. How much force must be applied to a .5kg ball travelinghorizontally at 42m/s to bring the ball to rest in.25seconds? 1. To be a regulation basketball, the ball must be inflated ina way that when dropped from a height of 100 inches, it returns toa height of 73 inches on the first bounce. What is the coefficientof elasticity for this ball? 2. How much force must be applied to a .5kg ball travelinghorizontally at 42m/s to bring the ball to rest in.25seconds?

Explanation / Answer

Q1) coefficient of elasticity, e = h 2 / h1 = 73 / 100 = 0.73 Q2) mass, m = 0.5 kg         initial velocity, u= 42 m/s        final velocity, v = 0m/s        time, t = 0.25 s        acceleration, a = ( v - u) / t = -42 / 0.25 = - 168 m / s^2       Retarding force to be applied,F = m ( -a) = 0.5 ( 168) = 84 N

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