1. What is a Mass from Energy Calculator?

Definition: This calculator converts energy (in Joules) to mass (in grams) using Einstein's mass-energy equivalence formula.

Purpose: It demonstrates the relationship between energy and mass according to special relativity, useful in physics education and research.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( m \) — Mass (grams)
• \( E \) — Energy (Joules)
• \( c \) — Speed of light (3 × 10⁸ m/s)

Explanation: The energy is divided by the speed of light squared to get mass in kilograms, then multiplied by 1000 to convert to grams.

3. Importance of Mass-Energy Calculation

Details: This calculation demonstrates the fundamental principle that mass and energy are interchangeable, with profound implications in nuclear physics and cosmology.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why multiply by 1000 in the formula?
A: The formula naturally gives mass in kilograms; multiplying by 1000 converts the result to grams.

Q2: What's a typical energy value to input?
A: For perspective, 1 kiloton of TNT equivalent is about 4.184 × 10¹² J.

Q3: Can I change the speed of light value?
A: Normally you wouldn't (it's a physical constant), but the field is editable for educational purposes.

Q4: How precise are the results?
A: Results are shown to 10 decimal places to demonstrate the tiny mass equivalent of everyday energy amounts.

Q5: What practical applications does this have?
A: This principle is fundamental to nuclear power, particle physics, and understanding stellar energy production.