# What happens to mass at speeds near that of light?

Dec 6, 2015

#### Answer:

If the speed gets close to the speed of light the mass grows to infinity

#### Explanation:

If the body is in movement at speed close to the speed of light its mass is equal to:

$m = {m}_{0} / \sqrt{1 - {v}^{2} / {c}^{2}}$

where:

${m}_{0}$ is the mass when the body is not moving
$v$ is the body's velocity
$c$ is the speed of light

From this formula we can see that as the velocity gets closer to $c$, the denominator gets closer to $0$ so the mass gets bigger and goes to infinity.