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Calculate the power of a crane in watts, which lifts a mass of 100 kg to a height of 10 m in 20 s.

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प्रश्न

Calculate the power of a crane in watts, which lifts a mass of 100 kg to a height of 10 m in 20s.

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उत्तर

According to the problem, mass = m= 100 kg height = h – 10 m, time interval, t = 20 s. Power is the rate of doing work with respect to time.

We know from the formula that, the power = work done/time = `(Fds  cos θ)/(time)`

F = mgh

mg = 100 × 10 = 1000

h = 10 m

t = 20s

θ = 0, as the force and the displacement, are in the same direction.

Hence power = `(1000 xx 10 cos 0)/20` = 500 watts

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पाठ 6: Work, Energy and Power - Exercises [पृष्ठ ४५]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
पाठ 6 Work, Energy and Power
Exercises | Q 6.29 | पृष्ठ ४५

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