### Relativistic Kinetic Energy Calculator:

This simple calculator helps you calculate the KE of an object easily. The Relativistic KE Calculator provides the exact answer with a step-by-step process to find it. Check out the simple formula for relativistic kinetic energy and more about KE in the following sections. Also, refer to the solved examples to understand the concept better. Below are the steps to calculate KE of a moving object. Follow these simple steps to verify the output.

- Obtain the object’s mass and velocity.
- Find the square of the velocity.
- Multiply the squared value by the material mass.
- Divide the result by 2 to find the relativistic kinetic energy.

Relativity is observed when an object moves with high speed i.e. more than 1% of the speed of light. Einstein’s equation E = mc2 defines the kinetic energy and potential energy of a body. The relative kinetic energy is obtained by subtracting the potential energy from the total energy. The equation for relativistic kinetic energy is:

### Relativistic Kinetic Energy Formula:

Relativistic kinetic energy formula KE _{(j)} in joules is equal to the one divided by the two and multiply the mass of the object m_{(kgs)} in kilogram per second and multiply the square of the velocity v^{2}_{(m/s)} in meter per second. Hence the Relativistic kinetic energy formula can be written as

KE _{(j)}=1/2 * m_{(kgs)} * v^{2}_{(m/s)}

Where

KE = is the kinetic energy

M=is the mass of the object

V= is the object velocity

KE = m_{} * c^{2} [√ 1- v^{2} / c^{2}) -1

m_{} = is the rest mass of the object

c= is the speed of the light

This relativistic kinetics energy is applicable when the velocity is the object is at least 1% of the light speed

### Example:1

Find the kinetic energy of an object having mass 28kgs and velocity 25 m/s?

### Answer:

Given that

Mass of the object m =28kgs

Velocity of the object v = 25 m/s

Kinetic Energy KE = ½ * m * V^{2}

KE =1/2 * 28 * 25^{2}

=8750J

Therefore, the kinetic energy is 87.50 j

### Example:2

Find the kinetic energy of an object having mass 12 kgs and velocity 9 m/s?

### Answer:

Given that

Mass of the object m =12kgs

Velocity of the object v = 9 m/s

Kinetic Energy KE = ½ * m * V^{2}

KE =1/2 * 12 * 9^{2}

=486J

Therefore, the kinetic energy is 486 j