1. What is the Matter to Energy Conversion Calculator?

Definition: This calculator computes the energy equivalent of a given mass using 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:

• \( E \) — Energy (Joules, J)
• \( m \) — Mass (kilograms, kg)
• \( c \) — Speed of light (299,792,458 m/s)

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

3. Importance of Mass-Energy Conversion

Details: This equation is fundamental to nuclear physics and explains the enormous energy released in nuclear reactions.

4. Using the Calculator

Tips: Enter the mass in kilograms. The result shows the equivalent energy in joules.

5. Frequently Asked Questions (FAQ)

Q1: Why is the speed of light squared in the equation?
A: The c² term converts between units of mass and energy, representing the fundamental relationship between space and time.

Q2: How much energy is in 1 kg of mass?
A: Approximately 89,875,517,873,681,764 joules (about 90 petajoules).

Q3: Can we convert mass completely to energy?
A: In practice, only a small fraction of mass is converted to energy in nuclear reactions (about 0.1% in fission).

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: How does this relate to atomic bombs?
A: Nuclear weapons convert a small portion of nuclear material's mass into energy, resulting in tremendous explosive power.