A rocket with initial mass M kilogram (kg) including 60,250 kg of its onboard fuel mixture is fired vertically upward in a vacuum ( that is free space where gravitational field is negligible). During the burning process, the exhaust gases are ejected at a constant rate x kg/s and at a constant velocity with magnitude 400 m/s relative to the rocket. Assume the rocket was initially at rest. After few seconds the speed of the rocket relative to earth was recorded as 200 In (6.25) m/s and it took the rocket 14 additional seconds to reach its Maximum Speed of 400 In(6) m/s. Find x. Note: Record your answer without units. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please

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 9.55P
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A rocket with initial mass M kilogram (kg) including 60,250 kg of its onboard
fuel mixture is fired vertically upward in a vacuum ( that is free space where
gravitational field is negligible).
During the burning process, the exhaust gases are ejected at a constant
rate x kg/s and at a constant velocity with magnitude 400 m/s relative to
the rocket. Assume the rocket was initially at rest.
After few seconds the speed of the rocket relative to earth was recorded
as 200 In (6.25) m/s and it took the rocket 14 additional seconds to reach
its Maximum Speed of 400 In(6) m/s. Find x.
Note: Record your answer without units.
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
No spaces please
Transcribed Image Text:A rocket with initial mass M kilogram (kg) including 60,250 kg of its onboard fuel mixture is fired vertically upward in a vacuum ( that is free space where gravitational field is negligible). During the burning process, the exhaust gases are ejected at a constant rate x kg/s and at a constant velocity with magnitude 400 m/s relative to the rocket. Assume the rocket was initially at rest. After few seconds the speed of the rocket relative to earth was recorded as 200 In (6.25) m/s and it took the rocket 14 additional seconds to reach its Maximum Speed of 400 In(6) m/s. Find x. Note: Record your answer without units. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc. No spaces please
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