Solve for m K=(mv^2)/2

$K = \frac{m v^{2}}{2}$

Rewrite the equation as $\frac{m v^{2}}{2} = K$ .

$\frac{m v^{2}}{2} = K$

Multiply both sides of the equation by $2$ .

$2 \frac{m v^{2}}{2} = 2 K$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{m v^{2}}{2} = 2 K$

Rewrite the expression.

$m v^{2} = 2 K$

Divide each term in $m v^{2} = 2 K$ by $v^{2}$ and simplify.

Divide each term in $m v^{2} = 2 K$ by $v^{2}$ .

$\frac{m v^{2}}{v^{2}} = \frac{2 K}{v^{2}}$

Simplify the left side.

Cancel the common factor of $v^{2}$ .

Cancel the common factor.

$\frac{m v^{2}}{v^{2}} = \frac{2 K}{v^{2}}$

Divide $m$ by $1$ .

$m = \frac{2 K}{v^{2}}$