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Q.

Consider a drop of rain water having mass 1g falling from a height of 1km. if it hits the ground with a speed of 50m/s2 then work done by the gravitational force and resistance force of air is (takeg=10m/s2)

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a

1.25J,8.25J

b

10J,8.75J

c

10J,8.25J

d

100J,8.75J

answer is B.

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Detailed Solution

Given that m=1g=103,h=1km=103m

initialenergy=mgh+K.E

=103×10×103=10J

But it is given to be reaching the earth withv=50m/s

K.E=12×mv2=12103×50×50

=1.25J

Hence the work done by resisting force due air=finalenergyinitialenergy

=1.2510

8.75J

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