A rocket with initial mass mo is preparing for vertical launch. Half of its mass is fuel and a quarter of its mass is the fuel container. It uses up 0.125mo of fuel every second, ejecting it at a relative velocity of vox. When it runs out of fuel, there is no longer a thrust force and the fuel container is released. The contributing drag force can be neglected, consider only the thrust force and the force due to Earth's gravity. a) Using Newton's 2nd law, find the momentum P of the rocket just before it releases its container in terms of mo, Fr and the acceleration due to gravity, g. b) Determine the velocity of the rocket just after it releases the container. How does this design compare to that of a true multi-stage rocket, where further thrust would be applied after dropping the fuel container?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A rocket with initial mass mo is preparing for vertical launch. Half of its mass is fuel and a quarter of its
mass is the fuel container. It uses up 0.125mo of fuel every second, ejecting it at a relative velocity of vex-
When it runs out of fuel, there is no longer a thrust force and the fuel container is released. The
contributing drag force can be neglected, consider only the thrust force and the force due to Earth's
gravity.
a) Using Newton's 2nd law, find the momentum P of the rocket just before it releases its container
in terms of mo, Fr and the acceleration due to gravity, g.
b) Determine the velocity of the rocket just after it releases the container. How does this design
compare to that of a true multi-stage rocket, where further thrust would be applied after
dropping the fuel container?
Transcribed Image Text:A rocket with initial mass mo is preparing for vertical launch. Half of its mass is fuel and a quarter of its mass is the fuel container. It uses up 0.125mo of fuel every second, ejecting it at a relative velocity of vex- When it runs out of fuel, there is no longer a thrust force and the fuel container is released. The contributing drag force can be neglected, consider only the thrust force and the force due to Earth's gravity. a) Using Newton's 2nd law, find the momentum P of the rocket just before it releases its container in terms of mo, Fr and the acceleration due to gravity, g. b) Determine the velocity of the rocket just after it releases the container. How does this design compare to that of a true multi-stage rocket, where further thrust would be applied after dropping the fuel container?
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