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Given that:

M = m/(1-v2/c2)1/2

Where M is the relativistic mass, m is the rest mass, c is the speed of light in a vacuum and v is the velocity.

If v/c = c/c = 1

Then M = m/(1-1)1/2 = m/0

As the velocity of the pebble approaches the speed of light, its mass will tend to infinity. This is very unphysical as it means that the pebble will also have infinite energy and momentum which breaks several very fundamental conservation laws. In reality it would take infinite energy to accelerate a pebble to the speed of light, since infinite energy is not an option it must be true that no object with mass can travel at the speed of light.

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Q: What is the mass of a pebble going at the speed of light?
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