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NEET 1990 (AIPMT) · Impulse & Momentum Conservation

Impulse & Momentum Conservation question from NEET 1990 (AIPMT)

Q28NEET 1990 · AIPMTMedium

Impulse & Momentum Conservation

A 600 kg600\text{ kg} rocket is set for a vertical fring. If the exhaust speed is 1000 m s−11000\text{ m s}^{-1}, the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

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Answer: (c)

  1. To just balance weight: udmdt=mgu\frac{dm}{dt} = mg.
  2. dmdt=600×9.81000=5.88≈6 kg s−1\frac{dm}{dt} = \frac{600 \times 9.8}{1000} = 5.88 \approx 6\text{ kg s}^{-1}
  3. So the answer is (c) 6 kg s−16\text{ kg s}^{-1}.
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