A famous relation in physics relates 'moving mass' m to the 'rest mass' $m_{0}$ of a particle in terms of its speed v and the speed of light, c. (This relation first arose asa consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes :
$m = \frac{m_{o}}{{(1 - v^{2})}^{1 / 2}}$
Guess where to put the missing c.

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Solution

Quantities inside functions (here square root) should be dimensionless.
Term $[1 - v^{2}]$ should be positive and it will be dimensionless quantity.
Thus, the correct formula is $m = \frac{m_{0}}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$

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