A $$5000$$ kg rocket is set for vertical firing. The exhaust speed is $$800$$ $$m/s$$. To give an initial upward acceleration of $$20m$$ $$/$$ $$s2$$, the amount of gas ejected per second to supply the needed thrust will be (g$$ $$=$$ $$10m/s2)

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Infinity Learn · Accepted Answer

Given, mass of rocket m $$=$$ $$5000$$ $$k8$$, exhaust speed u $$=800$$ m $$/$$ s, acceleration of rocket a $$=20m/s2$$ and g $$=10m/s2Upward$$ force F $$=T$$ $$-Wor$$ $$Ma=T-Mg$$∴ $$T=M$$[$$a+g$$]$$=5000$$[$$20+10$$]$$=15$$×$$104NAlso$$, $$T=udMdt$$  or  $$dMdt=Tu$$∴ $$dMdt=15$$×$$104800=187$$⋅$$5kg/s$$

A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 m/s. To give an initial upward acceleration of 20m / s², the amount of gas ejected per second to supply the needed thrust will be (g = 10m/s²)

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A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 m/s. To give an initial upward acceleration of 20m / s2, the amount of gas ejected per second to supply the needed thrust will be (g = 10m/s2)

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A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 m/s. To give an initial upward acceleration of 20m / s², the amount of gas ejected per second to supply the needed thrust will be (g = 10m/s²)