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A rocket is traveling at a speed of 3.90 * 103 m/s. It fires its engine,...

A rocket is traveling at a speed of 3.90 * 103 m/s. It fires its engine, which ejects exhaust with a speed of 3.20 * 103 m/s relative to the rocket. The initial mass of the rocket with fuel is 4.30 * 104 kg and its acceleration is 2.,60 m/s2. At what rate is fuel consumed during firing?

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Answer #1

As the rocket moves with time, the mass of the system will be decreased with increasing of time.

During the fire, the thrust force by the the rocket engine is given by,

Where is the relative velocity of the rocket with respect to the velocity of fuel ejection.

is the change in mass during motion of the rocket i.e. rate of fuel consumption.

If a be the acceleration of the rocket, then

Here,

The fuel consuming during firing at a rate of 35 kg/s.

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