A proton is traveling at a speed of 05725c At what speed wil

A proton is traveling at a speed of 0.5725c. At what speed will its momentum be quintupled (became five times bigger than it is now)?

Here ,

speed of proton , u = 0.5725c

let the speed of the proton is v

5 * intial momentum = final momentum

5 * m0 * u/sqrt(1 - (u/c)^2) = m0 * v/sqrt(1 - (v/c)^2)

5 * 0.5725*c/sqrt(1 - 0.5725^2) = v/sqrt(1 - (v/c)^2)

solving for v

v = 0.962 * c

the speed of the proton is 0.962 * c