Enter the total energy (Joules, J) into the Mass From Energy Calculator. The calculator will evaluate and display the mass.
Mass From Energy Formula
The following formula is used to calculate the Mass From Energy.
M = E / c^2
- Where M is the Mass From Energy (kg)
- E is the total energy (Joules, J)
- c is the speed of light (299,792,458 m/s)
To calculate mass from energy, divide the energy by the speed of light squared.
How to Calculate Mass From Energy?
The following example problems outline how to calculate Mass From Energy.
Example Problem #1:
- First, determine the total energy (Joules, J).
- The total energy (Joules, J) is given as: 150,000,000,000.
- Finally, calculate the Mass From Energy using the equation above:
M = E / c^2
The values given above are inserted into the equation below and the solution is calculated:
M = 150,000,000,000 / 299792458^2 = .000001668 (kg)
FAQ
What is the significance of the formula E=mc^2?
This formula, proposed by Albert Einstein, illustrates the principle of mass-energy equivalence. It shows that energy (E) and mass (m) are interchangeable; they are different forms of the same thing. This fundamental principle of physics has profound implications, including the understanding of nuclear reactions and the functioning of the universe.
How does the speed of light (c) factor into the conversion of mass to energy?
The speed of light (c), squared in the equation, acts as the conversion factor between mass and energy. It’s a very large number, indicating that even a small amount of mass can be converted into a huge amount of energy. This is why nuclear reactions, which involve small changes in mass, can release a significant amount of energy.
Can mass be converted back into energy?
Yes, the principle of mass-energy equivalence works both ways. Just as energy can be converted into mass, mass can also be converted back into energy. This process occurs in nuclear reactions, such as in the sun, where hydrogen nuclei fuse to form helium, converting some of the mass involved into energy in the form of light and heat.
