# Kinetic Energy Tutorial

## Kinetic Energy Tutorial

#### Kinetic Energy:

Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its current velocity.

#### Kinetic Energy Formula :

Kinetic Energy: Ek = ½ mv2 Mass: m = Ek / ½ v2
##### Velocity: ###### where,

Ek = Kinetic Energy, M = Mass of object, V = Velocity or Speed of object,

##### Case 1:

Determine the Kinetic energy of a 500kg roller coaster train which moves at a speed of 20 m/s. M = 500 kg, V = 20 m/s

###### Step 1:

Substitute the values in the below kinectic energy formula:

###### Kinetic Energy: Ek = ½ mv2

=½ x 500 x 202 = 0.5 x 500 x 400 Kinetic Energy: Ek = 100000 Joules or 1 x 105 Joules This example will guide you to calculate the kinetic energy manually.

##### Case 2:

What is the speed of a 55 kg woman running with a kinetic energy of 412.7 J? Ek = 412.7, M = 55 kg

###### Step 1:

Substitute the values in the below Velocity formula: This example will guide you to calculate the velocity manually.

#### Related Topic:

This tutorial will help you dynamically to find the Kinetic Energy problems.