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Power Output of a Motor

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The crate has a mass of 150 kg and rests on a surface for which the coefficients of static and kinetic friction are us= 0.3 and uk = 0.2 respectively. If the motor supplies a cable force of F = (8t^2 + 20) N, where t is in seconds, determine the power output developed by the motor when t= 5s.

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Solution contains calculations and detailed explanation of each step required to get the answer. 260 words.

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The way the pulley system is organized, if F is the force exerted by the motor cable, the top cable attached to the crate has a force of 2F pulling it to the left and the bottom cable attached to the crate pulls it with a force of F to the left.

Hence, total force on the crate = 3F

F = (8t^2+20) N

The box starts moving ...

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