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Conservation of Momentum

42. A rocket ...

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42. A rocket of mass 2000 kg is ejecting the gasses at the rate of 50 kg/sec with speed of 20 m/sec in gravity free space. Find the acceleration of rocket at 2 sec.

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Q. A rocket of initial mass

m = 2000 kg

is burning fuel at the rate of

20 kg/s

and ejecting burnt matter with a constant speed of

1000 m/s

w.r.t the rocket. Find the acceleration of the rocket at

t = 10 sec

g = 10 {m/s}^{2}

]

Q. A rocket of mass

120 k g

is fired in a gravity free space is ejecting gases with velocity

600 m / s

1 k g / s

. What will be the initial acceleration of the rocket?

Q. A rocket of initial mass

6000 k g

ejects mass at a constant rate of

16 k g / s

with constant relative speed of

11 k m / s

. What is the acceleration of the rocket a minute after the blast? (Neglect gravity)

Q. A rocket with an initial mass of

1000 kg

is launched vertically upwards from rest, under gravity. The rocket burns fuel at the rate of

10 kg/sec

. The burnt matter is ejected vertically downwards with speed of

2000 {ms}^{- 1}

relative to rocket. If the burning stops after one minute, find the maximum velocity of the rocket.
[Take

g = 10 {m/s}^{2}, ln (2.5) = 0.92

]

Q. A rocket with an initial mass of

M = 2000 kg

is launched vertically upwards from rest, under gravity. The rocket burns fuel at the rate of

20 kg/s

. The burnt matter is ejected vertically downwards with a speed of

4000 m/s

relative to the rocket. Velocity of the rocket after

60

2000 m/s

. Find the mass of rocket gas ejected in

60

g = 10 {m/s}^{2}

]

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