Impulse required to accelerate a proton from 0.995c to 0.998c

[magma_saber]

Homework Statement

A proton has mass 1.7 x 10^-27 kg. What is the magnitude of the impulse required in the direction of motion to increase its speed from 0.995c to 0.998c?

Homework Equations

gamma=1/sqrt(1-(v/c)²)
p=gamma*mass*velocity

The Attempt at a Solution

(1.7 x 10^-27 * 15.82 * 0.998 * 3x10⁸) - (1.7 x 10^-27 * 15.82 * 0.995 * 3x10⁸)

 

[Dick]

Doesn't the gamma factor change quite a bit as well when you move from 0.995c to 0.998c?

 

[magma_saber]

ya i accidentally typed 15.82 for the .995c but i ment to type 10.01. i tried that and its still wrong.

edit: never mind, i just put the values in the calculator wrong lol.