Calculating Exhaust Gas Speed for a 4200kg Rocket Launch

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Homework Help Overview

The problem involves calculating the exhaust speed required for a 4200kg rocket to achieve an acceleration of 4.0g at take-off from Earth, considering the mass flow rate of the exhaust gases.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of thrust equations and the impact of gravitational forces on the required exhaust speed. Questions arise regarding the initial calculations and the assumptions made about the forces acting on the rocket.

Discussion Status

Some participants have provided feedback on the initial calculations, while others have identified a need to reconsider the total acceleration required, including the force to overcome gravity. There is an indication of progress as one participant claims to have resolved the issue by adjusting their calculations.

Contextual Notes

Participants are navigating the complexities of thrust calculations and the effects of gravitational acceleration on the rocket's performance. There is mention of a specific mass flow rate for the exhaust gases, which is central to the discussion.

pbumper1
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Homework Statement


A 4200kg rocket is to be accelerated at 4.0g at take-off from the Earth.
If the gases can be ejected at a rate of 28 kg/s, what must be their exhaust speed?

Homework Equations



Fthrust=mv2-mv1/t2-t1

The Attempt at a Solution



Multiplied 4200kgx4x9.8/28kg/s=-5900
 
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Your work seems fine to me. Do you have any specific questions on this problem?
 
The answer is wrong and don't understand why it is?
 
I figured it out for future reference, since the rocket has to overcome 1g you add it to the 4g. You use the same equation. 4200x5x9.8/28=7400m/s
 
pbumper1 said:
I figured it out for future reference, since the rocket has to overcome 1g you add it to the 4g. You use the same equation. 4200x5x9.8/28=7400m/s


Good catch! Nice job.:smile:
 

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