Relativistic Mass Calculator
This calculator is designed for physicists and students to compute the relativistic mass of an object given its velocity. It helps in understanding the effects of relativity at high speeds.
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Data Source and Methodology
All calculations are based on the principles of Einstein's theory of relativity. For in-depth information, refer to the Mass in Special Relativity article.
The Formula Explained
The formula used is \( m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}} \), where \( m_0 \) is the rest mass, \( v \) is the velocity, and \( c \) is the speed of light.
Glossary of Terms
- Rest Mass (m0): The mass of an object when it is at rest.
- Velocity (v): The speed of the object in meters per second.
- Relativistic Mass (m): The mass of the object as observed from a frame of reference where the object is moving.
How It Works: A Step-by-Step Example
Suppose we have an object with a rest mass of 1 kg moving at 2 x 108 m/s. Using the formula, we can calculate the relativistic mass to be approximately 2.29 kg.
Frequently Asked Questions (FAQ)
What is relativistic mass?
Relativistic mass is the mass of a body in motion, which increases with velocity according to the principles of relativity.
Why does velocity affect mass?
According to Einstein's theory of relativity, as an object approaches the speed of light, its mass increases exponentially.
Is this calculator accurate for all velocities?
This calculator is accurate for velocities close to the speed of light. For everyday speeds, relativistic effects are negligible.
How is this calculator useful?
This tool is valuable for academic purposes and research in physics, helping to understand relativistic effects on mass.
Can this be used for high school projects?
Yes, this calculator is simple enough for educational purposes, including high school physics projects.