A cricket ball of mass is moving horizontally towards a fielder with a speed of

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A cricket ball of mass 150 g150\,\text{g} is moving horizontally towards a fielder with a speed of 20 m s−120\,\text{m s}^{-1}. The fielder brings the ball to rest in 0.050 s0.050\,\text{s} by moving his hands backward while catching it. (i) Calculate the impulse imparted to the ball during the catch. (ii) Determine the average force exerted by the fielder on the ball. (iii) Verify numerically that the impulse obtained in part (i) equals the change in momentum of the ball. (iv) If the same ball is brought to rest in 0.025 s0.025\,\text{s} instead, what would be the average force on the ball? Comment briefly on the practical significance of your result.

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