A $600 k g$ rocket is set for a vertical firing. If the exhaust speed is $1000 m / s$ , the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

58.6 k g / s

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76.4 k g / s

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6 k g / s

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117.6 k g / s

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Solution

The correct option is A $58.6 k g / s$
Force required to overcome the weight
$\begin{matrix} F = m g = v \frac{d m}{d t} \frac{d m}{d t} = \frac{m g}{v} = \frac{600 \times 9.8}{1000} = 58.6 k g / s \end{matrix}$
$= 58.6 k g / s$

Hence, this is the answer.

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A 600 kg rocket is set for a vertical firing. If the exhaust speed is 1000 m/s, the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

The correct option is A 58.6 kg/sForce required to overcome the weightF=mg=vdmdtdmdt=mgv=600×9.81000=58.6kg/s=58.6 kg/sHence, this is the answer.

A $600 k g$ rocket is set for a vertical firing. If the exhaust speed is $1000 m / s$ , the mass of the gas ejected per second to supply the thrust needed to overcome the weight of rocket is

The correct option is A $58.6 k g / s$
Force required to overcome the weight
$\begin{matrix} F = m g = v \frac{d m}{d t} \frac{d m}{d t} = \frac{m g}{v} = \frac{600 \times 9.8}{1000} = 58.6 k g / s \end{matrix}$
$= 58.6 k g / s$

Hence, this is the answer.