Mass from Energy Calculator

Energy (\( E \)):

Mass (\( m \)) in kilograms (kg):

Mass (\( m \)) in grams (g):

Mass (\( m \)) in atomic mass units (u):

1. What is the Mass from Energy Calculator?

Definition: This calculator computes the mass (\( m \)) equivalent of a given energy (\( E \)) using Einstein's mass-energy equivalence principle.

Purpose: It is used in physics to determine the mass of a particle or object based on its energy, applicable in particle physics and relativity studies.

2. How Does the Calculator Work?

The calculator uses the relationship:

\[ m = \frac{E}{c^2} \]

Where:

\( m \) — Mass (in various units)
\( E \) — Energy
\( c \) — Speed of light (\( 299,792,458 \, \text{m/s} \))

Explanation: Enter the energy in the chosen unit (joules, TWh, feV, neV, µeV, meV, eV, keV, MeV, or peV), and the calculator computes the equivalent mass. Results are displayed with 5 decimal places, using scientific notation if the value exceeds 100,000 or is less than 0.0001. For a default energy of \( E = 1 \, \text{MeV} \), the calculated mass \( m \) is approximately \( 1.78266 \times 10^{-30} \, \text{kg} \).

3. Importance of Mass from Energy Calculation

Details: Calculating mass from energy is fundamental in understanding mass-energy equivalence, aiding in particle physics experiments, nuclear reactions, and theoretical studies in relativity.

FAQ

How do I find the mass from energy?

Measure the energy in your chosen unit, convert it to joules if necessary, and compute the mass using the formula \( m = \frac{E}{c^2} \), where \( c = 299,792,458 \, \text{m/s} \). The result will be in kilograms.

What does mass-energy equivalence mean?

Mass-energy equivalence, described by Einstein's equation \( E = mc^2 \), means that mass and energy are interchangeable; a certain amount of energy can be converted into mass, and vice versa.

What is the formula for mass from energy?

The formula for mass from energy is \( m = \frac{E}{c^2} \), where \( E \) is the energy, and \( c \) is the speed of light. The standard unit for mass is kilograms (kg).

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