# The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass...

## Question:

The kinetic energy of a particle of mass m is found by taking one-half of the product of the mass (M) and the square of the velocity (V). Write an expression for the kinetic energy of a particle.

## Algebraic Expression

Translating statements into mathematical statements is an indispensable skill in mathematics. Operations, quantity comparisons, and simple value representations all make use of algebraic expressions.

## Answer and Explanation:

We represent the kinetic energy as {eq}K.E. {/eq}, the mas as {eq}m {/eq}, and the velocity {eq}v {/eq}.

Translating words into mathematical expression, we have:

{eq}K.E.=\dfrac{1}{2}mv^2 {/eq}

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