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Question

Consider a drop of rain water having mass 1g falling from a height of 1km. It hits the ground with a speed of 50m/s. Take 'g' constant with a value 10m/s2. The work done by the (i) gravitational force the (ii) resistive force of airs is:
  1. (i)10J(ii)8.75J
  2. (i)10J(ii)8.75J
  3. (i)100J(ii)8.75J
  4. (i)1.25J(ii)8.75J

A
(i)100J(ii)8.75J
B
(i)10J(ii)8.75J
C
(i)1.25J(ii)8.75J
D
(i)10J(ii)8.75J
Solution
Verified by Toppr

The correct option is A (i)10J(ii)8.75J
m=1g=11000kg
h=1km=1000m
work done by gravitional force wgmgh
wg=11000×10×1000
Change in kinetic energy K.E=12mv20
=1211000×50×500
=1.25J
Work energy theorem: wg+wairresistance=K.E
10J+resistance=1.2510
where resistance=8.75J

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