# Kinetic Energy

## Table of Contents

$$ E_k = \frac{1}{2}mv^2 $$

Where

- \(E_k\) is the kinetic energy of the object,
- \(m\) is the mass of the object, and
- \(v\) is the velocity of the object.

## Sources #

## Example #

Kevin throws a 400,000 kg spaceship straight down off of an infinitely tall cliff. After some time, it reaches a terminal velocity of 500 m/s. What is the kinetic energy of the spaceship at this point?

We know that kinetic energy is equal to \(\small \frac{1}{2}mv^2\), so we can plug in the values to get the answer:

$$ \scriptsize E_k = \frac{1}{2}mv^2 \Longrightarrow E_k = \frac{1}{2} \cdot 400000 \cdot 500^2 \Longrightarrow E_k = 5.0 \cdot 10^{10} J $$