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15 September, 22:58

At t=0, a constant force of 10 N is applied to a body of mass 5 kg starting at rest in outer space where there are no other forces. What is the power (in Watts) that the force delivers at t = 2 s?

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  1. 16 September, 02:07
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    20 W.

    Explanation:

    Power is defined as the time rate oc change at which work is done.

    Mathematically,

    Power, P = workdone/time

    Given:

    vi = 0 m/s

    F = 10 N

    m = 5 kg

    t = 2 s

    F = ma

    a = 10/5

    = 2 m/s^2

    Using equation of motion,

    vf = vi + at

    vf = 2 * 2

    = 4 m/s

    Workdone = potential energy, PE + kinetic energy, KE

    PE = 0

    KE = 1/2 * m * v^2

    = 1/2 * 5 * (4^2)

    = 40 J

    Power, P = 40/2

    = 20 W.
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