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14 November, 01:59

A golden retriever is sitting in a park when it sees a squirrel. The dog starts running, exerting a constant horizontal force of 89 N against the ground for 3.2 seconds. What is the magnitude of the dog's change in momentum?

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  1. 14 November, 03:05
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    284.8 kgm/s

    Explanation:

    Impulse: This can be defined as the product of force and time of a body. The S. I unit of impulse is N. s mathematically.

    Impulse = Force * time

    Change in momentum: This is the product of the mass of a body and its change in velocity. The unit of change in momentum is kgm/s.

    Mathematically,

    momentum = mass*change in velocity

    Deduction from newton's second law of motion,

    Impulse = change in momentum

    Therefore,

    Change in Momentum = Force*time

    ΔM = F*t ... Equation 1

    Where F = force = 89 N, t = time = 3.2 s.

    Substitute into equation 1

    ΔM = 89*3.2

    ΔM = 284.8 kgm/s

    Thus the change in momentum = 284.8 kgm/s
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