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Feodalherren
- 605
- 6
Am I supposed to take dm/dv? That means m0 is constant, correct?
If I do that I end up getting a m' on the Left hand side... What the heck does that mean?! Also where the crap is the "a" coming from?!
Feodalherren said:
Am I supposed to take dm/dv? That means m0 is constant, correct?
If I do that I end up getting a m' on the Left hand side... What the heck does that mean?! Also where the crap is the "a" coming from?!
Correct.Feodalherren said:That means m0 is constant, correct?
Since there is no [itex]m'[/itex] in the problem, the [itex]m'[/itex] means whatever you said it meant when you wrote it down.If I do that I end up getting a m' on the Left hand side... What the heck does that mean?!
Read the problem again.Also where the crap is the "a" coming from?!
It does work.rude man said:Consider: F = d/dt (p) = m dv/dt + v dm/dt = m a + v dm/dt
Now introduce your idea of taking dm/dv in coming up with dm/dt as a function of a and dm/dv.
Warning: I have not succeeded myself in deriving this result. And I know it's correct, dadblame it!
Somebdy - help!
tms said:It does work.
The theory of relativity states that as an object's velocity (v) increases, its mass (m) also increases. This is due to the fact that as an object approaches the speed of light, it requires more and more energy to accelerate it further.
Yes, the equation is m = m0 / √(1 - v^2/c^2), where m0 is the rest mass of the object, v is its velocity, and c is the speed of light. This equation is known as the relativistic mass-energy equivalence formula.
The increase in mass (m) at higher velocities also affects an object's inertia. This means that at higher velocities, an object will resist changes in its state of motion more strongly, making it more difficult to accelerate or decelerate.
Yes, the theory of relativity only applies to objects moving at extremely high speeds. At lower speeds, the increase in mass is negligible and the classical laws of physics still apply.
One of the most famous examples is the observation of the increase in mass of particles accelerated in a particle accelerator. As the particles approach the speed of light, their mass increases and this has been confirmed through multiple experiments.