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Find the work required for a motor to wind up 130ft of cable with linear density 7lb/ft?

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Find the work required for a motor to wind up 130ft of cable with linear density 7lb/ft?

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  1. F = ρL

    dW = FdL = ρLdL

    W = (1/2)ρL^2 - 0

    W = (1/2)(7 lb/ft)(130 ft)^2

    W = 59,150 ft.lb.

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