Question:
Is Gravity dependent on Rest mass or Relativistic mass?
dante
2013-08-09 08:04:14 UTC
Say if the gravity of earth is 1000 and the mass of earth is 1000(Just Think about it i know it is not like that) so if the earth was to move at higher speed say 0.999 C, so the mass will get higher as the mass will get higher the gravity will go higher as well. so does it get higher or not if not then it is dependent on rest mass if yes then it is dependent on relativistic mass.
Seven answers:
anonymous
2013-08-09 10:08:25 UTC
Mass = Rest Mass = Inertial Mass = Gravitational Mass =/= Relativistic Mass



"if the earth was to move at higher speed say 0.999 C, so the mass will get higher as the mass will get higher the gravity will go higher as well."



No. Someone cannot fly by you at 0.99999999999c, and turn you (or themselves) into a black hole.

http://www.physics.adelaide.edu.au/~dkoks/Faq/Relativity/BlackHoles/black_fast.html



"does an object's gravity become stronger if the velocity of object is getting higher."



Not really, no.
Lola F
2013-08-09 12:16:25 UTC
General Relativity is not the process of replacing mass with relativistic mass in Newton's equations of gravity. The gravity of a moving body isn't even purely attractive.



Obviously, the overall magnitude of the effect of gravity cannot be much different for a moving body than for a stationary one, since "moving" is completely dependent on reference frame. Any body can be said to be in motion at nearly c, or at rest, depending on that choice of frame.



The answer is yes, the gravity of a moving body is different from that of a stationary one, but not necessarily "greater," not isotropic (not the same in every direction around the body) and not entirely attractive. It depends on neither the rest mass nor the "relativistic mass," but only on the Stress-Energy Tensor, of which the rest mass is only one component, and the RM doesn't appear in at all.



Oldprof continues to incorrectly state that the acceleration of a body is F/M, with M the relativistic mass, which is completely wrong. Oldprof, cut it out. Until you learn some relativity yourself, kindly stop misleading others.
Gio
2013-08-11 00:01:56 UTC
Yes. When moving, gravity experienced due to relativistic mass is different from rest mass.
oldprof
2013-08-09 10:24:13 UTC
You need to revisit the STOR, learn it, and then resubmit this question with some understanding of what it means. None of the assumptions made here is remotely possible. So there is no logical answer when the assumptions are illogical.



But the answer to the lead question is that gravity is the result of deformation in space time due to mass, energy, and/or stress. As relativistic inertia is the result of rest mass and additional energy, gravity, the deformation of space and time, is most certainly dependent on relativistic inertia. [See source.]



In fact, acceleration in general is A = F/M where M is the relativistic inertia and F is the applied force to that inertia.
anonymous
2013-08-09 08:15:22 UTC
Wow, are you confused.

The velocity of the Earth IS any 'speed' you wish it to be, in any direction - as long as its consistent with the relative motion and position of everything else. (by 'any', I mean having any magnitude of 0 up to, but NOT including C). Velocity depends on your choice of frame of reference; my frame of reference can be moving at 0.987654321c towards Andromeda, if I so choose. You obviously don't understand this basic concept about relativity.

-=-

Do you not know that a photon has no rest mass? Do you not know that a photon is affected by gravity? Is it not obvious that this answers your question?
anonymous
2013-08-09 10:18:34 UTC
I see your point. You wish to know, for instance, how would the Earth attract an object of rest mass m₀ and moving with velocity v=0.9998 m/s (say). Would this force be m₀g or m₀g/√(1 - v²/c²)=mg? Gravity picks up on the total inertia of a body (Principle of Equivalence) and so would respond to the total inertia of the body. The attractive force would thus be mg and not m₀g.
kurkjian
2016-12-03 21:12:40 UTC
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