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18 July, 14:28

A 555 g ball strikes a wall at 14.9 m/s and rebounds at 12.1 m/s. The ball is in contact with the wall for 0.044 s. What is the magnitude of the average force acting on the ball during the collision?

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  1. 18 July, 17:47
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    The magnitude of the average force acting on the ball during the collision is 340.57 N

    Explanation:

    Force is given by rate of change of momentum.

    Mass of bullet = 555 g = 0.555 kg

    Initial velocity = 14.9 m/s

    Final velocity = - 12.1 m/s - Opposite direction

    Change in momentum = 0.555 x 14.9 - 0.555 x (-12.1)

    Change in momentum = 14.985 kg m/s

    Time taken = 0.044 s

    Rate of change of momentum = Change in momentum : Time

    Rate of change of momentum = 14.985 : 0.044

    Rate of change of momentum = 340.57 N

    Force = 340.57 N

    The magnitude of the average force acting on the ball during the collision is 340.57 N
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