Rocket Propulsion Gas Injection

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SUMMARY

The discussion focuses on calculating the amount of gas a rocket must eject to achieve a specific acceleration in deep space. Given an initial mass of 6000 kg and a gas ejection velocity of 2000 m/s, the goal is to determine the required gas mass for an initial acceleration of 25.0 m/s². The conservation of momentum principle is essential for solving this problem, allowing for the calculation of the mass flow rate necessary to achieve the desired thrust.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the conservation of momentum
  • Basic knowledge of rocket propulsion principles
  • Ability to perform calculations involving mass, velocity, and acceleration
NEXT STEPS
  • Study the principles of rocket propulsion and thrust calculations
  • Learn about the conservation of momentum in closed systems
  • Explore the Tsiolkovsky rocket equation for further insights
  • Investigate the effects of varying mass flow rates on rocket performance
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in rocket propulsion and dynamics will benefit from this discussion.

ada0289
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Please help, book gives no examples relatively close to this.

A rocket is fired in deep space, where gravity is negligible.


If the rocket has an initial mass of 6000 kg and ejects gas at a relative velocity of magnitude 2000 m/s , how much gas must it eject in the first second to have an initial acceleration of 25.0 m/s^2?
 
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Welcome to PF!

Hi ada0289! Welcome to PF! :smile:
ada0289 said:
If the rocket has an initial mass of 6000 kg and ejects gas at a relative velocity of magnitude 2000 m/s , how much gas must it eject in the first second to have an initial acceleration of 25.0 m/s^2?

Hint: use conservation of momentum :wink:

What do you get? :smile:
 

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