Q.
A 1000 kg elevator rises from rest in the basement to the fourth floor, a distance of 20 m. As it passes the fourth floor its speed is 4 m/sec. There is a constant frictional force of 600 N. Then percentage of total work done is lost due to friction nearly is
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a
12
b
5.5
c
4
d
6.2
answer is B.
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Detailed Solution
total work done = work done against gravity+work done against friction + increase in kinetic energy =mgh+Ffriction×h +12mv2 =1000×9.8×20+600×20 +121000×16 =1039.8×20 + 12 +8 =103×216 % of work done against friction 12216×100=5.5
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