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A winch is driven by an electric motor w...

A winch is driven by an electric motor with a separate excitation and fed from a battery of emf `E = 300 V`. The rope and the hook of the winch rise at a velocity `v_(1) = 4 m//s` without a load and at a velocity `v_(2) = 1 m//s` with a load of mass `m = 10 kg`.

Determine the velocity `v'` of the load and its mass `m'` for which the winch has the maximum power, neglecting the mass of the rope and the hook.

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