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Q.

A person of mass 70kg jumps from a stationery helicopter with the parachute open. As he falls through 50m height, he gains a speed of 20ms-1. The work done by the viscous air drag is

Take g=10m/s2

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a

21000 J

b

-21000 J

c

-14000 J

d

14000 J

answer is B.

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Detailed Solution

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From work-energy theorem, 

net work done by all the forces (internal and external ) = change in kinetic energy
 Work done by gravity + Work done by air drag = change in kinetic energy.

Kinetic energy gained = 12 × 70(202-02)=14000

Work done by gravity = mgh = 70(10)50 = 35000
Work done by air drag = KE -  PE = 14000 - 35000 = - 21000J

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