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NEET 2000 (AIPMT) · Collisions

Collisions question from NEET 2000 (AIPMT)

Q14NEET 2000 · AIPMTMedium

Collisions

A mass of 1 kg is thrown up with a velocity of 100 m/s. After 5 seconds, it explodes into two parts. One part of mass 400 g comes down with a velocity 25 m/s. The velocity of other part is (Take g = 10 ms−2{}^{-2})

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Answer: (c)

  1. Velocity after 5 s: v=100−10×5=50 m/sv = 100 - 10 \times 5 = 50\text{ m/s} upward.
  2. Momentum (up positive): 1×50=0.4(−25)+0.6 v′1 \times 50 = 0.4(-25) + 0.6\,v'
  3. 0.6 v′=60⇒v′=100 m/s0.6\,v' = 60 \Rightarrow v' = 100\text{ m/s} upward
  4. So the answer is (c) 100 m/s.
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