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Q.

A bullet of mass 10 gm is fired horizontally with a velocity of 1000 ms−1 from a height of  50 m above the ground. If the bullet reaches the ground with a velocity of 500 ms−1, the work done against air resistance in Joules is (g=10 ms−2)

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a

5005 J

b

3755 J

c

3750 J

d

17.5 J

answer is B.

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Detailed Solution

The velocity with which a horizontal projectile reaches the ground=u2+2gh Work done against air resistance is 12m(u2+2gh)−12mv2       =12×10×10-3(10002+2×10×50−(500)2)W=3755 J
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