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A bullet of mass 10 g leaves a rifle at an initial velocity of 1000 m s⁻¹ and strikes the earth at the same level with a velocity of 500 m s⁻¹. The work done in joule for overcoming the resistance of air will be

Asked in NEET 1989 · Work against resistance

Answer: (2) 3750

Step-by-step solution

Given: m=10 g=0.01 kg, launch speed 1000 m s⁻¹, landing speed 500 m s⁻¹ at the same level.

Idea: same level means gravity's net work is zero, so all the missing kinetic energy went to the air.

W=1/2m(u²-v²).

=1/2(0.01)(1000²-500²).

=0.005×(1000000-250000)=0.005×750000.

=3750 J.

Why the other options are wrong

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