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A rocket of mass 10,000 kg is set for vertical firing. If the exhaust speed of the gases is 2000 m/s, find the rate at which the gas must be ejected to supply the thrust needed. $[g = 10 {ms}^{- 2}]$

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$40 kg/s$

$10 kg/s$

$50 kg/s$

$20 kg/s$

answer is D.

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Detailed Solution

$Mg = V_{r} (\frac{dm}{dt})$

$10, 000 \times 10 = 2000 \times (\frac{dm}{dt})$

$(\frac{dm}{dt}) = 50 kg/s$

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