Q.

A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall  is (in ms−1)

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a

24

b

32

c

18

d

9

answer is C.

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Detailed Solution

Potential energy of a body = 75% of 12 J mgh = 9 J ⇒h=91×10=0.9mNow when this mass allow to fall then it acquire velocity v=2gh=2×10×0.9=18 m/s.
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A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall  is (in ms−1)