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7 December, 00:10

A student uses 150 N to push a block of wood up a ramp at constant velocity of 2.6m/s. What is his power output?

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  1. 7 December, 03:25
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    P = 390 W

    Explanation:

    In physics, power is the rate of doing work or of transferring heat, i. e. the amount of energy transferred or converted per unit time. Work is a force F applied over a distance x. Matemathicaly it means

    P = dW/dt ≈ d (F * x) / dt = xdF/dt + Fdx/dt. If force is constant dF/dt=0 so P=F dx/dt = P*v, where v is velocity, the rate of distance per unit time.

    We have force and velocity. Newton is unit of Kg*m/s2, hence

    P = 150 kgm/s2 * 2.6 m/s = 390 Kgm2/s3 = 390 W, where W is Watts and is an unit of power
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