is gravity and velocity related?

Question

as to general relativity mas is related to velocity. does this mean when a object moves in high velocity is the gravity of that object is also get increased ?

Answer 1

No. The gravitational mass of an object is NOT related to velocity. This description of what happens to inertia is no longer used in physics.



Ordinary equation for momentum: p = m*v

Relativistic equation for momentum: p = gamma*m*v where m is the "rest mass" and gamma is the relativistic scale factor, a number that is very close to 1 at ordinary speeds and increases toward infinity as v approaches c.



This used to be described as the object having a "relativistic mass" of gamma*m, so momentum is still m*v but using the relativistic mass. That terminology has fallen out of favor because of confusion on questions like yours. So now "mass" means "rest mass" and it is no longer described as the mass increasing.

Answer 2

No, mass does not increase with velocity. That is a very poor and outdated interpretation of the equations of special relativity. One of the reasons it is a poor interpretation is that the overall strength of the gravity field does NOT increase with velocity. Mainly, the direction of the "force" changes, and it becomes dependent on the velocity of the test mass.



You can NOT pretend that general relativity is Newtonian gravity by multiplying the "relativistic mass" by g. That does not work. That will give you the wrong answer every time. Relativity is not Newtonian physics with m replaced by M. I am sorry, but it is not that simple.

Answer 3

Yes they are related. In fact, M = m/sqrt(1 - (v/c)^2) is the relationship between inertial rest mass m and relativistic mass M as v --> c, where v is the velocity of the mass m relative to a designated reference point... like Earth.



So as the mass M grows, the force of gravity also grows because W = Mg when w = mg. We see this by multiplying the M equation by g on both sides of the equation. Understand, the M and m are the weighed mass, not the source of the gravity mass. Also understand, if m is you on a ship going v, your weight w will remain the same as far as you are concerned. Only your friend on Earth will see your weight W = Mg grow as the ship's speed increases.

Answer 4

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