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: E_k = ½ mv² Mass: m = E_k / ½ v²

Velocity:

where,

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

Kinetic Energy Example:

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: E_k = ½ mv²

=½ x 500 x 20² = 0.5 x 500 x 400 Kinetic Energy: E_k = 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? E_k = 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.