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Math·Advanced Math·Equivalent expressions

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The kinetic energy $K$, in joules, of an object is given by the formula $K=\frac{1}{2}m{v}^2$, where $m$ is the mass of the object, in kilograms, and $v$ is the velocity of the object, in meters per second. If the kinetic energy of a certain object can be found by using the formula $K=82v^2$, what is the mass of the object, in kilograms?

A

$6,724$

B

$164$

C

$82$

D

$41$