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Momentum Calculator

Calculation Result

What is Momentum?

In physics, momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.

Momentum Formula: p = m × v

Where:
p = momentum (kg·m/s)
m = mass (kg)
v = velocity (m/s)

Momentum is a conserved quantity, meaning the total momentum of a closed system remains constant unless acted upon by external forces. This principle is known as the conservation of momentum.

Example Calculations

Momentum Example:

A car with a mass of 1200 kg moving at 25 m/s has a momentum of:

p = m × v = 1200 kg × 25 m/s = 30,000 kg·m/s

Impulse Example:

A force of 500 N applied for 2 seconds provides an impulse of:

J = F × Δt = 500 N × 2 s = 1000 N·s

Understanding Momentum Principles

Conservation of Momentum

In a closed system with no external forces, the total momentum before a collision equals the total momentum after the collision. This principle is fundamental to analyzing collisions and explosions.

Impulse-Momentum Theorem

The impulse experienced by an object equals the change in its momentum. This theorem explains how force and time interval affect motion:

F × Δt = m × Δv

Types of Collisions

  • Elastic collisions: Both momentum and kinetic energy are conserved
  • Inelastic collisions: Momentum is conserved but kinetic energy is not
  • Perfectly inelastic collisions: Objects stick together after collision