Q.

An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed of 3m/s. The frictional force opposing  the motion is 6000N. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g = 10 m/s2) must be at least ;

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a

56300 W

b

66000 W

c

62360 W

d

48000 W

answer is A.

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Detailed Solution

Net force on motor will be
     Fm=9200+681010+6000 =22000N
So, required power for motor
     Pm=Fm,v =22000×3 =66000watt

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