Rest Energy Calculator

Rest Energy Calculator:

Enter the values of mass, m_(kg)and speed of light, c_(m/s) to determine the value Rest energy, E_0(J).

Enter Mass :		kg
Enter Speed of Light:		m/s
Result – Rest Energy:		J

Rest Energy:

Rest energy is the intrinsic energy possessed by an object due to its mass when it is at rest, without any motion or external forces acting upon it.This concept comes from Albert Einstein’s theory of relativity and shows that mass and energy are interchangeable.

It implies that even a stationary object has energy due to its mass alone.Rest energy is a fundamental form of energy and is present in all matter, regardless of motion.The energy is vast due to the speed of light being squared in the equation, amplifying even small mass values. Rest energy is especially significant in nuclear physics, where minimal mass loss results in substantial energy release.

It is also important in astrophysics, cosmology, and particle physics.
The energy released in nuclear reactions (like in the sun or atomic bombs) comes from converting rest mass into energy.The greater the mass of the object, the greater its rest energy.

Rest energy does not depend on the object’s speed or external environment.This energy helps explain why mass can be seen as a concentrated form of energy.
The concept shows that matter can be transformed into energy and vice versa.In particle accelerators, particles gain kinetic energy but also exhibit their rest energy.

The unit of rest energy is joules (J) when mass is measured in kilograms and speed of light in meters/second.The speed of light (c) is approximately 3 * 10⁸m/s, which makes the rest energy very large even for small masses.

Rest energy, E_0(J)in Joules equals mass, m_(kg)in kilogram multiplied by squared of speed of light, c_(m/s) in metres per second.

Rest energy, E_0(J) = m_(kg)* c²_(m/s)

E_0(J) = rest energy in Joules, J.

m_(kg)= mass in kilograms, kg.

c_(m/s) = speed of light in metres per second, m/s(3 * 10⁸m/s).

Rest Energy Calculation:

1. A particle has a mass of 2 kg. Calculate its rest energy.

Given: m_(kg)= 2kg, c_(m/s) = 3 * 10⁸m/s.

Rest energy, E_0(J) = m_(kg)* c²_(m/s)

E_0(J) = 2 * (3 * 10⁸)²

E_0(J) = 2 * 9 * 10¹⁶

E_0(J) = 1.8 * 10¹⁷J.

2. An object has a rest energy of 9 * 10¹⁶ Find its mass.

Given: E_0(J) = 9 * 10¹⁶J, c_(m/s) = 3 * 10⁸m/s.

Rest energy, E_0(J) = m_(kg)* c²_(m/s)

m_(kg)= E_0(J) /c²_(m/s)

m_(kg)= 9 * 10¹⁶/ (3 * 10⁸)²

m_(kg)= 9 * 10¹⁶/ 9 * 10¹⁶

m_(kg)= 1kg.