A simple estimate of the intensity of an impulsive force can be obtained by dropping a tennis

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A simple estimate of the intensity of an impulsive force can be obtained by dropping a tennis ball (mass \(m=58 \mathrm{~g}\), radius \(R=32.5 \mathrm{~mm}\) ) with a rigid floor. If dropped at rest from an altitude \(h=2.0 \mathrm{~m}\), an almost completely elastic impact can be considered, and it is observed that in the impact the ball is crushed by shortening by about half its radius. Estimate the time interval \(\Delta t\) in which the impact occurs and the ratio \(r\) between the impulsive force and the weight of the ball.

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