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600 KW power is supplied to a motor of efficiency $50 %$ This motor is connected to a crane. Transmission loss of crane is $40 %$ . If it is used to lift a 3 ton box, its velocity is $(g = 10 m s^{- 2})$

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$6 m s^{- 1}$

$8 m s^{- 1}$

$4 m s^{- 1}$

$2 m s^{- 1}$

answer is A.

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Detailed Solution

$m g v = \frac{50}{100} \times \frac{40}{100} \times 600 \times 10^{3}$

$3 \times 10^{3} \times 10 V = 20 \times \overset{2}{6} \times 10^{3}$

$V = 4 m s^{- 1}$

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