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8 June, 19:48

During a circus performance, a 71.2-kg human cannonball is shot out of an 18.0-m-long cannon. If the human cannonball spends 0.785 s in the cannon, determine the average net force exerted on him in the barrel of the cannon. (Assume the acceleration is constant.)

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  1. 8 June, 23:35
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    F=ma = 71.2 * 58.42 = 4159.5 N

    Explanation:

    for FORCE we need a: acceleration (F=ma)

    for acceleration we can apply the second equation of motion

    s = ut + 0.5at^2

    where

    s = 18 m (displacement)

    u = 0 m/s (initial velocity)

    t = 0.785 s (time)

    18 = 0.5 * a * (0.785) ^2

    a = 58.42 m/s^2

    now

    F=ma = 71.2 * 58.42 = 4159.5 N
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