# Relativistic Kinetic Energy Calculator

By using the Relativistic Kinetic Energy Calculator, you can analyse the kinetic energy of an object easily. It takes the mass and velocity of the object as inputs and provides the relativistic KE as output in a short span of time.

Relativistic Kinetic Energy Calculator: This handy calculator is helpful to calculate the KE of an object easily. Relativistic KE Calculator gives the exact answer along with the step by step process to find it. Check the simple formula for relativistic kinetic energy and more about KE in the following sections. Also, see the solved examples for a better understanding of the concept.

## How to Calculate Kinetic Energy?

Below provided are the steps to calculate the KE of a moving object. Go through these simple stes and follow to check the output.

• Get the object mass and velocity.
• Find the square of the velocity.
• Multiply the square value by the object mass.
• Divide the result by 2 to see the relativistic kinetic energy.

### Relativistic Kinetic Energy Formula

Kinetic energy is the energy obtained from the motion of an object. The KE formula is along the lines:

KE = ½ x m x v2

Where,

KE is the kinetic energy

m is the mass of the object

v is the object velocity

When an object moves with a higher velocity i.e more than 1% of the speed of light, then relativistic is noticed. The Einstein E = mc2 equation defines the kinetic energy and potential energy of the body.

The relativistic kinetic energy is obtained by subtracting potential energy from the total energy. The equation for relativistic kinetic energy is as follows:

KE = m₀c² * [√(1 - v²/c²) -1]

Here,

m₀ is the rest mass of the object

c is the speed of the light.

Note: This relativistic kinetic energy is applicable when the velocity is the object is at least 1% of the light speed.

Example

Question: Find the kinetic energy of an object having mass 15 kgs and velocity 50 m/s?

Solution:

Given that,

Mass of the object m = 15 kgs

Velocity of the object v = 50 m/s

Kinetic Energy KE = ½ x m x v2

KE = ½ x 15 x 502

= 18,750 J

Therefore, the kinetic energy is 18,750 J.

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### FAQ's on Relativistic Kinetic Energy Calculator

1. How to calculate relativistic kinetic energy?

The simple technique to find the relativistic kinetic energy of a body is to multiply half of the mass with the square of the velocity.

2. What is relativistic kinetic energy?

Kinetic energy is the energy resulting from the motion of an object. The relativistic KE includes the energy of the body while in the rest and moving position.

3. What is the kinetic energy formula?

The formula for Kinetic Energy is KE = ½ x m x v². Here, m is the mass of the object and v is the velocity of the object.

4. What are factors affect kinetic energy?

The factors which affect KE is the object mass and velocity. By increasing either mass or velocity, the kinetic energy also increases. 