The transference of potential energy to kenetic energy and it's effect on momentum

Click For Summary
SUMMARY

The discussion centers on the conversion of potential energy to kinetic energy in a spacecraft, particularly at speeds reaching 50% of the speed of light (0.5c). Participants debate the implications of this conversion on the spacecraft's mass and momentum, with one contributor questioning the assumption that mass increases by 20% due to energy conversion. The conversation highlights misconceptions regarding special relativity and the observer-dependent nature of momentum. Key terms include potential energy, kinetic energy, and momentum.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concepts of potential and kinetic energy
  • Knowledge of momentum and its observer-dependent nature
  • Basic physics of mass-energy equivalence
NEXT STEPS
  • Research the implications of mass-energy equivalence in special relativity
  • Study the relationship between potential energy and kinetic energy in high-speed scenarios
  • Explore the concept of momentum in different reference frames
  • Investigate the effects of relativistic speeds on mass and energy conversion
USEFUL FOR

Physicists, aerospace engineers, and students studying advanced physics concepts related to energy conversion and momentum in relativistic contexts.

carl fischbach
Lets say that you take an ultra modern spacecraft
like Nasa is researching or may already have and
equip it with a vast potential energy storage
system.Before you embark on your flight a large
quantity of potential energy is stored on board
the ship.The craft is now accelerated to 50% of c
in a straight line.Now we can agree that the craft
possesses momentum x.The ship is traveling at 50%
c and the vast quantity of potential energy,stored
before the fight,is converted to very high speed
particles stored in a ring on board the ship.
Let's say the ships mass has increased by 20%,due
to the conversion of potential energy to kenetic
energy.The ship now possesses momentum y.If you
decelerate the ship in straight line you now have
an imbalanced force*time relationship between
acceleration and deceleration.
There are several possible explanations, the ship
slows when potential energy is converted to
kenetic energy,stored potential energy acts like
mass,the ship does not act heavier when gaining
kenetic energy, or something I've overlooked here.
 
Physics news on Phys.org


Wow, there really are a lot of misconceptions about special relativity packed into this paragraph. Let's see if we can begin to sort them out.
Originally posted by carl fischbach
and
equip it with a vast potential energy storage
system.
You mean -- fuel?
The craft is now accelerated to 50% of c
in a straight line.
0.5c relative to the stationary earth, I imagine.
Now we can agree that the craft
possesses momentum x.
Momentum depends on the observer. If "we" means specifically "observers on the earth," then sure, we'll call it x.
The ship is traveling at 50%
c and the vast quantity of potential energy,stored
before the fight,is converted to very high speed
particles stored in a ring on board the ship.
Er, okay.
Lets say the ships mass has increased by 20%,due
to the conversion of potential energy to kenetic
energy.
Why should we say this? Where did this 20% figure come from? What sort of potential energy are we talking about?

- Warren
 
My understanding was that energy is proportional to mass regardless of the form of the energy - stretch a rubber band (for example) and it gains mass.
 

Similar threads

  • · Replies 16 ·
Replies
16
Views
2K
Replies
14
Views
12K