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16 January, 08:35

A 7.5 kg cannon ball leaves a canon with a speed of 185 m/s. Find the average net force applied to the ball if the cannon muzzle is 3.6 m long.

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  1. 16 January, 12:30
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    We would like to know the average net force. Therefore, we can calculate the acceleration using:

    x = 0.5*a*t^2

    v = a*t

    where x=3.6m and v=185 m/s.

    Therefore,

    t=v/a and hence x = 0.5*a * (v/a) ^2 = 0.5 * (v^2) / a

    so a = (0.5*v^2) / x

    Since we know the values for v and x, as written above, we can calculate a by plugging the numbers in.

    The average net force will then be:

    F = m*a,

    where m=7.5kg.
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