A $8000 k g$ rocket is set for a vertical firing. If the exhause speed is $800 m / s$ . How much gas ejected per second to supply thrust needed to overcome the weight of the rocket?

49 k g / s e c

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98 k g / s e c

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9.8 k g / s e c

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none of these

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Solution

The correct option is B $98 k g / s e c$
Force required to overcome the weight
$F = m g = v \frac{d m}{d t}$
$\frac{d m}{d t} = \frac{m g}{v}$
$= \frac{8000 \times 9.8}{800}$
$= 98 k g / s e c$

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A 8000kg rocket is set for a vertical firing. If the exhause speed is 800m/s. How much gas ejected per second to supply thrust needed to overcome the weight of the rocket?

The correct option is B 98kg/secForce required to overcome the weightF=mg=vdmdtdmdt=mgv =8000×9.8800 =98kg/sec

A $8000 k g$ rocket is set for a vertical firing. If the exhause speed is $800 m / s$ . How much gas ejected per second to supply thrust needed to overcome the weight of the rocket?

The correct option is B $98 k g / s e c$
Force required to overcome the weight
$F = m g = v \frac{d m}{d t}$
$\frac{d m}{d t} = \frac{m g}{v}$
$= \frac{8000 \times 9.8}{800}$
$= 98 k g / s e c$