What will be the rate of fuel consumption of a rocket near 'c'

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Discussion Overview

The discussion centers around the rate of fuel consumption of a rocket traveling at 99.99% the speed of light, particularly in relation to relativistic effects and acceleration. Participants explore the implications of constant velocity versus acceleration on fuel usage, incorporating concepts from both relativity and Newtonian mechanics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants assert that if a rocket moves at a constant speed near the speed of light, it would consume no fuel due to the absence of acceleration.
  • Others clarify that while fuel consumption may be zero at constant velocity, this is based on Newtonian principles rather than relativistic effects.
  • There is a suggestion that fuel consumption will occur if the rocket accelerates, with the amount depending on the acceleration experienced by the ship and its crew.
  • Some participants emphasize the importance of understanding relative velocity and the distinction between inertial motion and acceleration in this context.

Areas of Agreement / Disagreement

Participants express differing views on the role of relativistic effects versus Newtonian mechanics in determining fuel consumption, particularly in scenarios involving acceleration. The discussion remains unresolved regarding the implications of these concepts on fuel usage.

Contextual Notes

Participants reference various equations and principles, but there are limitations in assumptions about the conditions under which fuel consumption is analyzed, particularly regarding acceleration and the frame of reference.

Prashan Shan
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when an object moves relative to something it experiences time at a slower rate right?
now let's assume that an rocket moves 99.99% the speed of light, then what will be the rate of fuel consumption?
will it remain the same or it will increase/decrease?
 
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Prashan Shan said:
when an object moves relative to something it experiences time at a slower rate right?
now let's assume that an rocket moves 99.99% the speed of light, then what will be the rate of fuel consumption?
will it remain the same or it will increase/decrease?
If it were moving inertially relative to something else at that speed it would consume no fuel.

You need to get clear about relative velocity. Also acceleration, which increases relative velocity and requires propulsion in the absence of gravity.

This might help with rockets

http://www.quantumg.net/rocketeq.html
[PLAIN]http://www.quantumg.net/rocketeq.html[/PLAIN]
http://www.wolframalpha.com/input/?i=Tsiolkovsky+rocket+equation
 
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There is also this page on relativistic rockets.
http://math.ucr.edu/home/baez/physics/Relativity/SR/rocket.html
 
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Prashan Shan said:
when an object moves relative to something it experiences time at a slower rate right?
now let's assume that an rocket moves 99.99% the speed of light, then what will be the rate of fuel consumption?
will it remain the same or it will increase/decrease?
Right now you are moving at 99.9999% of c relative to a particle at CERN. How much fuel are you using?
 
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It will consume no fuel because of reltavistic effects.
 
tallal hashmi said:
It will consume no fuel because of reltavistic effects.

It will consume no fuel if it is moving at a constant speed andnot accelerating, but this has nothing to do with any "relativistic effects". It's momma-poppa simple bone stock Newtonian mathematics: Start with ##F=ma##, set ##a## equal to zero because it's moving at a constant speed, conclude that ##F## is therefore zero, and ask yourself how much fuel burn is required to produce zero force.
 
Nugatory said:
It will consume no fuel if it is moving at a constant speed andnot accelerating, but this has nothing to do with any "relativistic effects". It's momma-poppa simple bone stock Newtonian mathematics: Start with ##F=ma##, set ##a## equal to zero because it's moving at a constant speed, conclude that ##F## is therefore zero, and ask yourself how much fuel burn is required to produce zero force.
Then what will happen if it accelerates?
 
Prashan Shan said:
Then what will happen if it accelerates?
It will consume fuel.
 
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Prashan Shan said:
what will happen if it accelerates?

To amplify on phinds' response a bit, it will consume fuel, and the amount of fuel consumed will depend on the acceleration as felt by the ship and its crew; the fact that the ship is moving at close to c relative to something else has nothing to do with it.
 
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