- #1

- 575

- 47

## Homework Statement

Solve for v.

[tex]\frac{8.1356x10^{16}}{v}=\frac{16}{\sqrt{1-\frac{v^{2}}{c^{2}}}}[/tex]

c is the speed of light.

## The Attempt at a Solution

I tried this several times and keep getting the wrong answer.

I inverse both sides, multiply both sides by 16, divide 16 by 8.1356x10

^{16}, square both sides, multiply both sides by c

^{2}, add v

^{2}to both sides, which doesn't change the left side, because the coefficient on the v

^{2}on the left is so large, then I divide both sides by 3.86777x10

^{-32}, and then square root both sides to get v, which is 5x10

^{15}, which is velocity that's almost twice the speed of light. So obviously that's incorrect.

I feel one of my steps is illegal.

Thanks.