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A rocket that is in deep space and initially at rest

Chapter , Problem 79

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QUESTION:

A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.55 105 kg, of which 1.81 105 kg is fuel. The rocket engine is then fired for 250 s while fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.27 km/s. (a) What is the rockets thrust? After the 250 s firing, what are (b) the mass and (c) the speed of the rocket?

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QUESTION:

A rocket that is in deep space and initially at rest relative to an inertial reference frame has a mass of 2.55 105 kg, of which 1.81 105 kg is fuel. The rocket engine is then fired for 250 s while fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.27 km/s. (a) What is the rockets thrust? After the 250 s firing, what are (b) the mass and (c) the speed of the rocket?

ANSWER:

Step 1 of 3 a) The rocket’s thrust is given by, Given, the speed of exhaust product relative to the rocket, The consumption rate is, So, The rocket’s thrust is .

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