Mathematical Expression of Kinetic Energy

As we know, kinetic energy is the energy of a moving object that depends on two simple things: mass and speed. It can be mathematically expressed as half of the object's mass multiplied by the square of its velocity.

The faster something moves, or the heavier it is, the more kinetic energy it has.

Let’s take an example. Imagine a man running on the beach. He weighs 50 kilograms and is running at a speed of 1 meter per second.

His kinetic energy can be calculated by putting the values of mass and speed in the mathematical expression. It will be one half multiplied by the mass, which is 50 kilograms, multiplied by the square of the speed, which is 1 meter per second.

Simplifying, the kinetic energy is calculated to be 25 joules.

Now, if he increases his speed to 2 meters per second, his kinetic energy would be 100 joules.

This shows how both mass and speed determine the kinetic energy of an object.