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I was given a question in which I had to work out the speed of an object given its momentum and its mass.

Now I had to answer what would be the new speed if the momentum doubled.

So, from what I understand, the rest mass can't change, it is like a constant for a given body. So, in other words, in this case, it is the velocity that is going to change.

In order to find by what factor v must be increased in order to yield an increase in momentum of two I tried to rearrange the following equation:

v/√1-(v

^{2}/c

^{2}= 2

Is this what I should do?

Can anyone please maybe give me a hint of what step I should take?