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Question: Answered & Verified by Expert
A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms-1 gets embedded in it, then loss of kinetic energy will be
PhysicsWork Power EnergyJEE MainJEE Main 2022 (25 Jul Shift 2)
Options:
  • A 4.9 J
  • B 9.8 J
  • C 14.7
  • D 19.6 J
Solution:
1323 Upvotes Verified Answer
The correct answer is: 9.8 J

If the final velocity of the bullet and the bag is v, applying conservation of momentum,

mu=m+Mv0.2×10=0.2+9.8vv=0.2 m s-1

Loss in kinetic energy will be,

Ki-Kf=12×0.2×102-12×10×0.22=9.8 J

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