A person lifts a 15 kg mass with rope at constant speed. If the lifting speed is 0.5 m/s, what power is required?

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Multiple Choice

A person lifts a 15 kg mass with rope at constant speed. If the lifting speed is 0.5 m/s, what power is required?

Explanation:
Power is the rate at which work is done, equal to force times velocity. When you lift a mass at constant speed, the vertical acceleration is zero, so the lifting force must balance the weight: F = m g. With m = 15 kg and g ≈ 9.8 m/s², F ≈ 15 × 9.8 = 147 N. Lifting at 0.5 m/s means the power is P = F v = 147 × 0.5 = 73.5 W. So the required power is 73.5 W.

Power is the rate at which work is done, equal to force times velocity. When you lift a mass at constant speed, the vertical acceleration is zero, so the lifting force must balance the weight: F = m g. With m = 15 kg and g ≈ 9.8 m/s², F ≈ 15 × 9.8 = 147 N. Lifting at 0.5 m/s means the power is P = F v = 147 × 0.5 = 73.5 W. So the required power is 73.5 W.

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