General equation for relativistic momentum

[bhsmith]

Homework Statement

What is the most general mathematical form for the relativistic momentum which will prevent the velocity of an object from becoming greater than c, when the object is acted on by a constant force F and the equation of motion is dp/dt=F

Homework Equations

The Attempt at a Solution

p= mv/√(1-v^2/c^2 )

I know that this equation is correct, but I'm not sure if it is the simplest form.

 

[diazona]

Hmm... well I'm not entirely sure what the question is getting at. But consider this: would p= mv/(1-v^2/c^2) satisfy the condition? (namely would it prevent the velocity of the object from exceeding c?)

Note that the question is asking for the most general form, not the simplest form.