bobb Posted January 21, 2022 Posted January 21, 2022 Does relativistic mass possess gravitational (passive) mass? Do you know any link that describes an experiment at CERN which proves or disproves the increase of weight in particle at near C?
swansont Posted January 21, 2022 Posted January 21, 2022 Mass and energy-momentum both contribute to gravitation. If something has translational KE, the mass does not increase Mass and KE are separate contributions to the total energy; E2 = p2c2 +m2c4
Genady Posted January 21, 2022 Posted January 21, 2022 I remember a study from about 8 years ago showing that relativistic particles in accelerator free fall just like they should, i.e. like everything else in the Earth gravity, with the same acceleration. I think it means that their weight increased accordingly to their relativistic mass.
swansont Posted January 21, 2022 Posted January 21, 2022 1 hour ago, Genady said: I remember a study from about 8 years ago showing that relativistic particles in accelerator free fall just like they should, i.e. like everything else in the Earth gravity, with the same acceleration. I think it means that their weight increased accordingly to their relativistic mass. Rate of freefall doesn't depend on the mass.
Genady Posted January 21, 2022 Posted January 21, 2022 13 minutes ago, swansont said: Rate of freefall doesn't depend on the mass. Right. That was the point of this test. That it still doesn't depend on the mass.
swansont Posted January 21, 2022 Posted January 21, 2022 2 hours ago, Genady said: Right. That was the point of this test. That it still doesn't depend on the mass. So how do you tell if the weight varied?
Genady Posted January 21, 2022 Posted January 21, 2022 (edited) 1 hour ago, swansont said: So how do you tell if the weight varied? The free fall acceleration doesn't depend on mass because, in old terms, "gravitational mass" equals "inertial mass". Inertial mass is "relativistic mass". Since the inertial mass changes with velocity, for the free fall acceleration not to change the gravitational mass needs to change. Weight is the gravitational mass times the acceleration. Thus, the weight needs to change. Edited January 21, 2022 by Genady
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