A $$500$$ kg rocket is set for vertical firing . The exhaust speed is $$800m/s$$. To give an initial upward acceleration of $$20m/s2$$ , the amount of gas ejected per second to supply the needed thrust will be (Take$$ $$g=10m/s2$$ $$)

Question

A $$500$$ kg rocket is set for vertical firing . The exhaust  speed is $$800m/s$$. To give an initial upward acceleration of $$20m/s2$$     , the amount of gas ejected per second to supply the needed  thrust will be (Take$$ $$g=10m/s2$$     $$)

Infinity Learn · Accepted Answer

Given : Mass of rocket (m) $$=$$ $$5000kg$$  Exhaust speed (v) $$=$$ $$800m/sAcceleration$$ of rocket (a) $$=$$ $$20m/s2$$     Gravitational acceleration (g) $$=$$ $$10m/s2$$     We know that upward $$forceF=m(g+a)=5000(10+20)$$     $$=5000$$×$$30=150000N$$     .We also know that amount of gas $$ejected(dmdt)=Fv=150000800=187.5kg/s$$

A 500 kg rocket is set for vertical firing . The exhaust speed is 800m/s. To give an initial upward acceleration of $20 m / s^{2}$ , the amount of gas ejected per second to supply the needed thrust will be (Take $g = 10 m / s^{2}$ )

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A 500 kg rocket is set for vertical firing . The exhaust speed is 800m/s. To give an initial upward acceleration of 20m/s2 , the amount of gas ejected per second to supply the needed thrust will be (Take g=10m/s2 )

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A 500 kg rocket is set for vertical firing . The exhaust speed is 800m/s. To give an initial upward acceleration of $20 m / s^{2}$ , the amount of gas ejected per second to supply the needed thrust will be (Take $g = 10 m / s^{2}$ )