Special relativity concept question

[squishy-fish]

Homework Statement

gamma_v is a reasonable measure of the size of relativistic effects. Roughly speaking, at what speed would observations deviate from classical expectations by 1%?

Homework Equations

gamma_v = 1/ [sqrt91.v²) / c²]

The Attempt at a Solution

I've honestly puzzled over this question for hours, and have gotten nowhere. Any hints would be greatly appreciated. I have no idea where to even start. I know that I need gamma_v to be equal to 1.01 for it to be 1% different from classical physics. . .
However I'm not sure where to go from here.

 

[Doc Al]

I know that I need gamma_v to be equal to 1.01 for it to be 1% different from classical physics. . .

Why not set up an equation expressing this and then solve for v?

 

[squishy-fish]

so 1.01 = 1/ [sqrt(1 - v²) / c²]
But now I have 2 unknowns..c and v right? So how do I isolate just v?

 

[Doc Al]

so 1.01 = 1/ [sqrt(1 - v²) / c²]
But now I have 2 unknowns..c and v right? So how do I isolate just v?

c is not an unknown, it's the speed of light! Your answer for v will be in terms of c. Just solve for v like you normally would.