Einstein's Mass-Energy Equivalence:
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E=mc² is Einstein's mass-energy equivalence formula from his Special Theory of Relativity, showing that energy (E) and mass (m) are interchangeable. The 'c' represents the speed of light in a vacuum (approximately 3×10⁸ m/s).
The calculator uses Einstein's equation:
Where:
Explanation: The equation shows that a small amount of mass can be converted into a tremendous amount of energy due to the speed of light being squared.
Details: This principle underlies nuclear energy and explains how stars produce energy. It fundamentally changed our understanding of the relationship between matter and energy.
Tips: Enter mass in kilograms. The result shows both the precise scientific value and a more readable approximation in Joules.
Q1: Why is the energy value so large for small masses?
A: Because the speed of light is squared (a very large number), even tiny masses convert to enormous amounts of energy.
Q2: Can we convert mass completely to energy?
A: In practice, complete conversion is extremely difficult. Nuclear reactions convert only a small fraction of mass to energy.
Q3: What are practical applications of E=mc²?
A: Nuclear power plants, atomic bombs, and explaining stellar energy production all rely on this principle.
Q4: Does this work for any mass?
A: The equation applies universally, but noticeable effects only occur with nuclear-scale energies.
Q5: Why is c squared in the equation?
A: The squared term comes from the mathematics of special relativity and gives the equation its enormous energy scaling.