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It depends on the object that is moving. According to Einstein's theory of special relativity, if the object with no rest mass is traveling closer to the speed of light, the mass increases. As an object approaches the speed of light, its mass approaches infinity as well
No, photons do not gain mass as they move faster and faster. They do however have a relativistic mass based on their energy. Since a massless particle like a photon has energy it therefore also has momentum even though it has no rest mass. This does NOT mean that as particle move closer to the speed of light their mass approaches infinity as said on this thread. That is not true. I don't believe masses change with movement, they just have momentum because of kinetic energy and the effects of energy bending space-time.
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