Momento p = γmv

p = γ·m·v.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

p (kg·m/s)
0,000000000000000000000564

About this calculator

The Relativistic Momentum Calculator is an online tool that allows you to calculate the momentum of a moving object, taking into account the effects of Einstein's special theory of relativity. The relativistic momentum is given by the formula p = γ·m·v, where p is the momentum, m is the mass of the object, v is the velocity, and γ is the Lorentz factor.

The Lorentz factor, γ, is a quantity that depends on the velocity of the object and is calculated as γ = 1 / sqrt(1 - v^2/c^2), where c is the speed of light in a vacuum. This means that as the object's velocity approaches the speed of light, the Lorentz factor increases and the object's momentum also increases.

The Relativistic Momentum Calculator is useful in various situations, such as in the study of high-energy particles in particle physics or in engineering problems that involve velocities close to the speed of light. However, it is essential to be careful with the units used and ensure that the velocity is expressed as a fraction of the speed of light.

It is crucial to remember that Einstein's special theory of relativity is only applicable to objects moving at constant velocities relative to the observer. If the object's velocity varies, it is necessary to use the general theory of relativity.

Frequently asked questions

What is the Lorentz factor?

The Lorentz factor, γ, is a quantity that depends on the velocity of the object and is calculated as γ = 1 / sqrt(1 - v^2/c^2), where c is the speed of light in a vacuum.

When to use the Relativistic Momentum Calculator?

The calculator is useful in situations involving velocities close to the speed of light, such as in the study of high-energy particles in particle physics or in engineering problems.

What units are used in the calculator?

The units used depend on the specific problem. However, it is essential to ensure that the velocity is expressed as a fraction of the speed of light.

Is special relativity applicable to all objects?

No, Einstein's special theory of relativity is only applicable to objects moving at constant velocities relative to the observer.

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