# V = mv1/[M + M]? #Solve for m

Feb 20, 2018

see a solution process below;

#### Explanation:

Since we are asked to solve for $m$ it thens mean that we have to look for the subject formula of $m$

$V = \frac{m v 1}{M + M}$

First, we have to simplify the equation;

$m v 1 = m v , \left(m v \times 1 = m v\right)$

$M + M = 2 M , \left(1 M + 1 M = \left(1 + 1\right) M = 2 M\right)$

Now we are having;

$V = \frac{m v}{2 M}$

Secondly, cross multiplying both sides..

$\frac{V}{1} = \frac{m v}{2 M}$

$V \times 2 M = m v \times 1$

$2 M V = m v$

To get $m$ standing alone, we have to divide it with its coefficient, in this case $v$ is the coefficient..

Divide both sides by $v$

$\frac{2 M V}{v} = \frac{m v}{v}$

$\frac{2 M V}{v} = \frac{m \cancel{v}}{\cancel{v}}$

$\frac{2 M V}{v} = m$

$\therefore m = \frac{2 M V}{v}$

Hope this helps!