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Math·Advanced Math·Equivalent expressions

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$49=\frac{2K}{v^2}$
For an object with a mass of $49$ kilograms, the given equation relates the kinetic energy $K$, in joules, of the object to the object’s speed $v$, in meters per second, where $K$ and $v$ are positive. Which equation correctly expresses this object’s speed, in meters per second, in terms of the object’s kinetic energy, in joules?

A

$v=\sqrt{\frac{2K}{49}}$

B

$v=\sqrt{\frac{49}{2K}}$

C

$v=\frac{49^2}{2K}$

D

$v=\frac{2K}{49^2}$