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A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 m s⁻¹ gets embedded in it, then loss of kinetic energy will be

Asked in JEE Main 25th July 2nd Shift 2022 · Perfectly inelastic collisions

Answer: (2) 9.8 J

Step-by-step solution

After embedding: V=(0.2×10)/(10)=0.2 m/s.

Kᵢ=1/2×0.2×100=10 J; K_f=1/2×10×0.04=0.2 J.

Loss =10-0.2=9.8 J.

Why the other options are wrong

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