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Satellites

For a Rocket ...

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For a Rocket propulsion velocity of exhaust gases relative to rocket is 2 km/s. If mass of rocket system is 1000 kg, then the rate of fuel consumption for a rocket to rise up with an acceleration 4.9 m/s^2 will be:- 1) 12.25 kg/s 2) 17.5 kg/s 3) 7.35 kg/s 4) 5.2 kg/s

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Q. For a Rocket propulsion velocity of exhaust gases relative to rocket is

2 k m / s

. If mass of rocket system is

1000 k g

, then the rate of fuel consumption for a rocket to rise up with an acceleration

4.9

m / s^{2}

Q. During the rocket propulsion, gases ejecting with velocity

1 k m / s

relative to rocket. The rate of fuel consumption is

\frac{m}{10} k g / s

m

is the instantaneous mass of the rocket. If air resistance varies according to equation

f = 0.15 m v

, then terminal velocity of the rocket is:-

Q. A rocket of mass

120 kg

280 kg

of fuel is ready for the take off. The relative exhaust velocity of the fuel is

1.8 km/s

and the rate of consumption of the fuel is

2 kg/s

. Calculate the ultimate vertical speed gained by the rocket. (Take

g = 9.8 {m/s}^{2}

)

Q. A rocket is in gravity free space. A scientist wants the acceleration of the rocket to be

2 {m/s}^{2}

. Initial mass of the rocket is

1000 kg

and the speed of ejection of burnt fuel w.r.t the rocket is

500 m/s

. Find the rate of consumption of fuel

(in kg/s)

, so that the rocket will have an acceleration of

2 {m/s}^{2} .

Q. A rocket of mass

20 kg

180 kg

fuel. The exhaust velocity of the fuel is

1.6 km/s

. Calculate the minimum rate of ejection of fuel so that the rocket may rise from the ground. (Take

g = 9.8 {m/s}^{2}

)

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