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Law of Conservation of Energy

Upward accele...

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Upward acceleration of a rocket is given by (where v = speed of gas relative to rocket, M = mass of rocket and m = mass of fuel) with respect to gravity, the acceleration of rocket is given by

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Q. A rocket of mass

m

is fired vertically upward and after the fuel burning it weighs

m^{'}

. Ejection of fuel gas is at a constant rate of

m_{0}

per second with a constant velocity of

u_{r e l}

relative to the rocket. Final speed of rocket after the complete burn out of the fuel is given by

v =

Q. The mass of the rocket is 500 Kg and relative velocity of gas ejected out is 950 m/s with respect to rocket. determine the rate burning of the fuel in order to given the acceleration of the rocket is

20 m / s^{2} ?

Q. The initial mass of a rocket is

1000 kg

. Calculate at what rate the fuel should be burnt so that the rocket is given an acceleration of

20 {ms}^{- 2}

. the gases come out at a relative speed of

500 {ms}^{- 1}

with respect to the rocket : [use

g = 10 {ms}^{- 2}

Q. A rocket of initial mass m (including fuel) ejects mass at a constant rate of 25 kg/s with a speed 60 m/s relative to the rocket. If the acceleration of the rocket 3.5 minutes after the firing is 2

m / s^{2}

, find the initial mass of the rocket? [Neglect gravity] If your answer is in the form of n x

10^{3}

Q. A rocket with an initial mass of

M = 2000 kg

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20 kg/s

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

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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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