Find the force exerted on the end of the rope as a function of height y.

A uniform rope of mass λ per unit length is coiled on a smooth horizontal table. One end is pulled straight up with constant speed v₀.

a. Find the force exerted on the end of the rope as a function of height y.

b. Compare the power delivered to the rope with the rate of change of the rope's total mechanical energy.

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Find the force exerted on the end of the rope as a function of height y.

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