Introduction:-
Rocket Propulsion:-
The propulsion of a rocket is an example of momentum of conservation. In a rocket, gases at high temperature and pressure, are produced by the combustion of fuel. They escape with a large constant velocity through a nozzle.
The large backward momentum of the gases imparts an equal forward momentum to the rocket. But due to the decrease in the mass of the rocket fuel system, the acceleration of the rocket keeps on increasing.
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Mathematical expression:-
(i) It is an example of variable mass system.
(ii) It is based on the principle of conservation of linear momentum (if effect of gravity neglected) or Newton’s third law.
(iii) If Ur is the velocity of emerging gases relative to rocket and dm/dt is the rate of fuel consumption.
Thrust on rocket [F] = Ur dm/dt
Net force on rocket = Ur dm/dt – mg
Net acceleration of rocket a = Ur / m . dm / dt – g
Where m = m0 – dm /dt . t,
m0 = Initial velocity
Velocity of rocket at any instant v = ur loge {m0 / m} (When velocity is zero)
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