Free Relativistic Mass Calculator

Calculate the relativistic (apparent) mass of an object: m_rel = m0 * gamma = m0 / sqrt(1 - v^2/c^2).

kg
m/s

Relativistic Mass

2.293433 kg

Mass Increase (%)129.3433 %

Relativistic Mass vs Rest Mass (m0)

Relativistic Mass

As an object approaches the speed of light, its inertia increases, making further acceleration progressively harder.

Formula

m_rel = m0 * gamma = m0 / sqrt(1 - v^2/c^2)

Note: Modern physics prefers the concept of invariant (rest) mass. The "relativistic mass" is the total energy divided by c^2, but it is a useful pedagogical tool.

Example Calculation

1 kg object at 0.9c.

  1. 01gamma = 1 / sqrt(1 - 0.81) = 2.294
  2. 02m_rel = 1 * 2.294 = 2.294 kg
  3. 03Mass appears 129.4% larger.

Frequently Asked Questions

Learn More

Understanding Newton's Laws of Motion

A comprehensive guide to Newton's three laws of motion. Learn about inertia, force and acceleration, action-reaction pairs, and how these principles govern everyday physics.

Related Calculators