A car of mass 1500 kg is lifted up a distance of 30 m by crane A in 0.5 minutes. The second crane B does the same job in 1 minute. The ratio of their powers is

Question

A car of mass 1500 kg is lifted up a distance of 30 m by crane A in 0.5 minutes. The second crane B does the same job in 1 minute. The ratio of their powers is, 1 : 2, 2 : 1, 1 : 4, 4 : 1

MARKS App · Accepted Answer

Given, mass of the car m = 1500 kg Height of car h 1 = 30 m Time taken by crane A in lifting the car t 1 = 0.5 m i n . Time taken by crane B in lifting the car t 2 = 1 m i n . We know that, P = m g h t ∴ P ∝ 1 t Now, P 1 P 2 = t 2 t 1 ⇒ P 1 P 2 = 60 30 ∴ P 1 P 2 = 2 1

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