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21 October, 13:05

A 32kg kid on a sled sliding over some rough snow is acted on by a frictional force which reduces its velocity form 8.5 m/s to 4.1 m/s in 3.0 seconds what is the magnitude of the frictional force?

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  1. 21 October, 15:15
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    F = 47.04 N

    Explanation:

    Given,

    The mass of the kid, m = 32 Kg

    The initial velocity of the kid, u = 8.5 m/s

    The final velocity of the kind, v = 4.1 m/s

    The time period of travel. t = 3 s

    Using the first equations of motion,

    v = u + at

    a = (v - u) / t

    = (4.1 - 8.5) / 3

    = - 1.47 m/s²

    The negative sign indicates that the acceleration of the frictional force is against the motion of the child.

    The acceleration of the frictional force, a = 1.47 m/s²

    Therefore, the frictional force,

    F = m x a

    = 32 x 1.47

    = 47.04 N

    Hence, the frictional force acting on the child is, F = 47.04 N
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