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 rocket’s thrust? After the 250 s firing, what are (b) the mass and (c) the speed of the rocket?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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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 rocket’s thrust? After the 250 s firing, what are (b) the mass
and (c) the speed of the rocket?

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