Updated on September 12th, 2025

Impulse Calculator

Created By Jehan Wadia

Calculation Results
Impulse (J)
100.0 N·s
Direction: Forward (+)
J = m(v₂ - v₁) = 10 kg × (15 m/s - 5 m/s) = 100 N·s
Initial Momentum (p₁)
50.00 kg·m/s
Final Momentum (p₂)
150.0 kg·m/s
Momentum Change (Δp)
100.0 kg·m/s
Velocity Change (Δv)
10.00 m/s
Average Force
--
Time Duration
--
Momentum Vector Visualization
Step-by-Step Solution

Introduction

The Impulse Calculator helps you solve impulse and momentum problems in physics. Impulse is the change in momentum that happens when a force acts on an object over time. When you push, hit, or stop something, you create an impulse.

This tool can calculate impulse using two main methods. First, it can find impulse from the change in momentum (mass times velocity change). Second, it can find impulse from force times time. The calculator also solves for missing values like force, time, mass, or velocity when you know the other parts.

Use this calculator for physics homework, real-world problems, or to understand how forces change motion. It works for any situation where momentum changes - from baseball hits to car crashes to rocket launches. The tool shows step-by-step math, draws helpful diagrams, and converts between different units to make impulse calculations simple and clear.

How to use our Impulse Calculator

Enter values for mass, speed, force, or time to find impulse. The calculator will show how much an object's motion changes when a force acts on it.

Calculation Mode: Pick what you want to find. Choose from impulse, force, time, mass, or speed options.

Mass: Type the weight of your object. Pick the right unit like kilograms or pounds.

Initial Velocity (v₁): Enter how fast the object moves at the start. Use negative numbers for backward motion.

Final Velocity (v₂): Put in the object's speed at the end. Negative values mean it moves the other way.

Force (F): Add the push or pull strength on the object. This gets turned off for some calculation modes.

Time Duration (Δt): Write how long the force acts. Only use positive numbers for time.

Significant Figures: Choose how many digits to show in your answer. Pick "Auto" to let the calculator decide.

Understanding Impulse in Physics

Impulse is a key concept in physics that measures how a force changes an object's motion over time. When you push or pull something, you apply an impulse that changes how fast it moves. Think of impulse as the total "push" given to an object.

What Makes Impulse Important

Impulse connects force and time to show how motion changes. When a baseball bat hits a ball, the bat applies a force for a very short time. This creates an impulse that sends the ball flying. The same happens when you catch a ball - your hands apply force to slow it down. The impulse equals the change in the object's momentum, which is its mass times velocity. You can explore related motion concepts with our Momentum Calculator or analyze the forces involved using our Force Calculator.

How Impulse Works in Real Life

Car airbags use impulse to save lives. During a crash, airbags increase the time it takes for you to stop moving. This longer time means less force on your body, even though the impulse stays the same. Sports use this idea too. A boxer rolls with a punch to increase contact time and reduce force. Tennis players follow through their swings to increase contact time with the ball, giving it more impulse. To understand the accelerations involved in these scenarios, check our Acceleration Calculator or explore extreme forces with our G Force Calculator.

The Two Ways to Find Impulse

You can calculate impulse using two methods. First, multiply the force by how long it acts (Impulse = Force × Time). Second, find the change in momentum by using mass and velocity change (Impulse = Mass × Change in Velocity). Both methods give the same answer because impulse always equals the change in momentum. This is called the impulse-momentum theorem. For related motion calculations, try our Displacement Calculator or explore projectile


Frequently Asked Questions

What units does impulse use?

Impulse uses Newton-seconds (N·s) in the metric system. This is the same as kilogram-meters per second (kg·m/s). In other systems, you might see pound-seconds (lb·s) or other force-time units.

Can impulse be negative?

Yes, impulse can be negative. A negative impulse means the force acts in the opposite direction of motion. This happens when something slows down or changes direction backward.

What's the difference between impulse and force?

Force is a push or pull at one moment. Impulse is the total effect of that force over time. Think of force as how hard you push, and impulse as how hard you push times how long you push.

Why do airbags reduce injury?

Airbags make the stopping time longer during a crash. The same impulse happens over more time, which means less force on your body. Less force means less injury.

How do I know which calculation mode to use?

Look at what you know and what you need to find. If you have mass and velocity changes, use momentum mode. If you have force and time, use force mode. Pick the mode that matches your missing value.

What does the vector diagram show?

The vector diagram shows velocity arrows. The blue arrow is starting speed, green is ending speed, and red shows the change. This helps you see how motion changes visually.

Can I use this for collisions?

Yes, this calculator works great for collisions. Enter the speeds before and after the crash. The calculator finds the impulse that happened during impact.

What are significant figures for?

Significant figures control answer precision. More figures give more exact answers. Use the same number of figures as your least precise measurement for best results.


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