1. What is Einstein's Mass-Energy Equivalence?

Einstein's mass-energy equivalence principle states that mass and energy are interchangeable, related by the equation E = mc². This calculator reverses the formula to calculate mass from energy input.

2. How Does the Calculator Work?

The calculator uses Einstein's equation:

Where:

• \( m \) — Mass (kg)
• \( E \) — Energy (Joules)
• \( c \) — Speed of light in vacuum (m/s)

Explanation: This equation demonstrates how even a small amount of mass corresponds to a tremendous amount of energy, and vice versa.

3. Importance of Mass-Energy Calculation

Details: Understanding mass-energy equivalence is fundamental to nuclear physics, cosmology, and helps explain energy production in stars and nuclear reactions.

4. Using the Calculator

Tips: Enter energy in Joules and the speed of light in m/s. The default speed of light is set to 300,000,000 m/s (3×10⁸ m/s).

5. Frequently Asked Questions (FAQ)

Q1: Why is the speed of light squared in the equation?
A: The c² term represents the conversion factor between mass and energy, showing the enormous amount of energy contained in even small amounts of mass.

Q2: What practical applications does this have?
A: This principle explains nuclear energy, antimatter reactions, and is fundamental to understanding stellar processes in astrophysics.

Q3: Can this be used for chemical energy calculations?
A: Yes, chemical energy released or absorbed in reactions can be converted to equivalent mass using this equation.

Q4: Why are the mass values so small for typical energy inputs?
A: Because c² is an extremely large number (9×10¹⁶ m²/s²), making the mass equivalent of energy very small.

Q5: Is the speed of light always exactly 3×10⁸ m/s?
A: The exact value is 299,792,458 m/s, but 3×10⁸ m/s is commonly used for calculations where extreme precision isn't required.