Momentum Calculator

MomentumCalculator

Calculate linear momentum, kinetic energy, impulse, and collision analysis. Perfect for physics, mechanics, and motion analysis applications.

Momentum Calculator
Calculate linear momentum, kinetic energy, impulse, and collision analysis with step-by-step solutions for physics and mechanics

Why Use Our Momentum Calculator?

Comprehensive momentum calculations with detailed explanations

Linear Momentum

Calculate momentum from mass and velocity

Kinetic Energy

Calculate kinetic energy and energy relationships

Impulse Analysis

Calculate impulse and force relationships

Collision Analysis

Analyze collisions and momentum conservation

How Momentum Calculator Works

Understanding momentum calculations and physics principles

1

Select Calculation Type

Choose from linear momentum, kinetic energy, impulse, or collision analysis.

2

Enter Values

Input mass, velocity, force, time, or energy values as required.

3

Get Results

Receive momentum, kinetic energy, impulse, and step-by-step calculations.

Physics Formulas

Linear Momentum

p = mv

Kinetic Energy

KE = ½mv²

Impulse

J = FΔt

Conservation

p₁ + p₂ = p₁\' + p₂\'

Momentum Examples

Common momentum calculations and their practical applications

Basic Momentum Examples

p = 10kg × 5m/sLinear

Result: p = 50 kg·m/s

KE = ½ × 10kg × (5m/s)²Energy

Result: KE = 125 J

Practical Applications

Car at 60 km/hAutomotive

Result: p = 16,700 kg·m/s

Baseball pitch 40 m/sSports

Result: p = 0.6 kg·m/s

Frequently Asked Questions

Common questions about momentum calculations

What is momentum?

Momentum is a measure of an object's motion, calculated as the product of its mass and velocity. It's a vector quantity that describes how difficult it is to stop a moving object.

How do I calculate linear momentum?

Linear momentum is calculated using the formula p = mv, where p is momentum, m is mass, and v is velocity. The units are kg·m/s.

What is the difference between momentum and kinetic energy?

Momentum (p = mv) is a vector quantity that depends on mass and velocity, while kinetic energy (KE = ½mv²) is a scalar quantity that depends on mass and the square of velocity.

What is impulse in physics?

Impulse is the change in momentum of an object when a force is applied over time. It's calculated as J = FΔt, where F is force and Δt is the time interval.

What is conservation of momentum?

Conservation of momentum states that in a closed system with no external forces, the total momentum before a collision equals the total momentum after the collision.

How do I calculate momentum from kinetic energy?

To find momentum from kinetic energy, first solve for velocity: v = √(2KE/m), then calculate momentum: p = mv. This works when you know the mass and kinetic energy.

What are elastic and inelastic collisions?

In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, momentum is conserved but kinetic energy is not (some energy is lost as heat or deformation).

How do I analyze collision problems?

To analyze collisions, use conservation of momentum (p₁ + p₂ = p₁\' + p₂\') and determine if it's elastic or inelastic. For elastic collisions, kinetic energy is also conserved.

What is the relationship between force and momentum?

Force is the rate of change of momentum: F = Δp/Δt. This means that applying a force over time changes the object's momentum. The impulse-momentum theorem states J = Δp.

How do I calculate momentum in different units?

Momentum is typically in kg·m/s, but you can convert between units. For example, 1 kg·m/s = 1000 g·cm/s. Always ensure mass is in kg and velocity is in m/s for standard calculations.

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Momentum Calculator - Free Physics Calculator for Linear Momentum