k=(mv^2)/2g

Question

solve for g

I already know the answer is  g=mv^2/2k

I just don't understand how they came up with that answer!!! help

Answer 1

k = (mv^2) / 2g

multiply both sides by g

gk = g * (mv^2) / 2g

on the right, the g's cancel

gk = (mv^2) / 2

divide both sides by k

gk / k = (mv^2) / 2k

g = (mv^2) / 2k