1. What is the Mass from Energy Calculator?

Definition: This calculator determines the equivalent mass for a given amount of energy based on Einstein's famous equation E=mc².

Purpose: It demonstrates the fundamental relationship between mass and energy in physics.

2. How Does the Calculator Work?

The calculator uses Einstein's mass-energy equivalence formula:

Where:

• \( m \) — Mass (kilograms, kg)
• \( E \) — Energy (Joules, J)
• \( c \) — Speed of light (3 × 10⁸ m/s)

Explanation: The energy value is divided by the square of the speed of light to calculate the equivalent mass.

3. Importance of Mass-Energy Equivalence

Details: This principle is fundamental in nuclear physics and explains how small amounts of mass can be converted to enormous amounts of energy.

4. Using the Calculator

Tips: Enter the energy in Joules and the speed of light (default 3 × 10⁸ m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is the mass value so small compared to the energy?
A: Because c² is an extremely large number (9 × 10¹⁶ m²/s²), making the mass equivalent very small for ordinary amounts of energy.

Q2: What's a practical example of this calculation?
A: The energy in 1 kg of mass is about 9 × 10¹⁶ J, equivalent to 21 megatons of TNT.

Q3: Can I change the speed of light value?
A: Normally you wouldn't, as it's a fundamental constant, but the calculator allows it for educational purposes.

Q4: How precise are the results?
A: Results are shown with 12 decimal places to demonstrate the tiny mass values involved.

Q5: Does this apply to all energy forms?
A: Yes, any form of energy has an equivalent mass according to this equation.