Einstein's Mass-Energy Equivalence Formula:
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Definition: This calculator computes the energy equivalent of mass using Einstein's famous equation E=mc².
Purpose: It demonstrates the relationship between mass and energy, fundamental to nuclear physics and relativity.
The calculator uses Einstein's mass-energy equivalence formula:
Where:
Explanation: A small amount of mass can be converted into an enormous amount of energy, as the speed of light squared is a very large number.
Details: This principle explains nuclear reactions, powers stars, and is fundamental to understanding the universe's energy content.
Tips: Enter the mass in kilograms and the speed of light (default 300,000,000 m/s). The speed of light can be adjusted for educational purposes.
Q1: Why is the speed of light squared in the equation?
A: The c² term represents the conversion factor between mass and energy in Einstein's theory of special relativity.
Q2: How much energy is in 1 kg of mass?
A: Approximately 9 × 10¹⁶ Joules (equivalent to 21 megatons of TNT).
Q3: Can we convert all mass to energy?
A: In practice, only a small fraction of mass is converted in nuclear reactions (about 0.1% in fission, 0.7% in fusion).
Q4: Why don't we see this energy in everyday objects?
A: The energy remains bound in the mass until released through nuclear processes.
Q5: What are some real-world applications?
A: Nuclear power plants, atomic bombs, and the Sun's energy production all rely on mass-energy conversion.