Mass of an empty rocket is $$50$$ kg and mass of its fuel is $$100kg$$. The rocket is fired on the surface of earth. If initial rate of consumption of fuel is $$2$$ $$kg/s$$ and velocity of exhaust gas relative to the body of the rocket is $$800$$ $$m/s$$, Find the initial acceleration of the rocket

Question

Infinity Learn · Accepted Answer

Initial thrust generated by exhaust $$gases=Vrdmdt=800$$×$$2N=1600N$$∴Net upward force on the (rocket+fuel)                $$=1600-(50+100)$$ x $$10$$ $$N=100N$$∴Accelaration $$=100150m/s2=23m/s2$$

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Mass of an empty rocket is 50 kg and mass of its fuel is 100kg. The rocket is fired on the surface of earth. If initial rate of consumption of fuel is 2 kg/s and velocity of exhaust gas relative to the body of the rocket is 800 m/s, Find the initial acceleration of the rocket

Initial thrust generated by exhaust gases
$= V_{r} \frac{dm}{dt} = 800 \times 2 N = 1600 N$
$∴$ Net upward force on the (rocket+fuel)
=1600-(50+100) x 10 N=100N
$∴ Accelaration = \frac{100}{150} m / s^{2} = \frac{2}{3} m / s^{2}$

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making equation on system

Remember concepts with our Masterclasses.

Mass of an empty rocket is 50 kg and mass of its fuel is 100kg. The rocket is fired on the surface of earth. If initial rate of consumption of fuel is 2 kg/s and velocity of exhaust gas relative to the body of the rocket is 800 m/s, Find the initial acceleration of the rocket

Initial thrust generated by exhaust gases=Vrdmdt=800×2N=1600N∴Net upward force on the (rocket+fuel) =1600-(50+100) x 10 N=100N∴Accelaration =100150m/s2=23m/s2

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free study material

Initial thrust generated by exhaust gases
$= V_{r} \frac{dm}{dt} = 800 \times 2 N = 1600 N$
$∴$ Net upward force on the (rocket+fuel)
=1600-(50+100) x 10 N=100N
$∴ Accelaration = \frac{100}{150} m / s^{2} = \frac{2}{3} m / s^{2}$