Physics Tool

Impulse-Momentum Calculator

Relate Impulse to the change in velocity of a mass.

Initial Momentum (p_i):0.00 kg·m/s
Final Momentum (p_f):1000.00 kg·m/s
Velocity Change (Δv):20.00 m/s
Required Impulse (J)
1000.00 N·s

Σ The Formula

J = Δp = m(v_f - v_i)

Real World Examples

Stopping Distance
A 1000kg car slowing from 20m/s to 0m/s requires an impulse of -20,000 N·s.
Kickoff
A 0.45kg football kicked from rest to 30m/s gains 13.5 kg·m/s of momentum.

# About This Calculator

The Impulse-Momentum Theorem states that the impulse applied to an object is equal to the change in its linear momentum.

This means that if you know the mass and the change in velocity of an object, you can precisely determine the total force-time product (Impulse) that was applied to it.

How To Use

  1. Enter the **Mass** of the object in kilograms.
  2. Enter the **Initial Velocity** (the speed before the force was applied).
  3. Enter the **Final Velocity** (the speed after the interaction).
  4. The result shows the starting/ending momentum and the required **Impulse**.

Frequently Asked Questions

Why is momentum useful?+

Momentum is conserved in isolated systems, making it the primary tool for analyzing collisions and explosions.

Is Impulse-Momentum Calculator free to use?+

Yes, Impulse-Momentum Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Impulse-Momentum Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Impulse-Momentum Calculator are accurate for academic and professional use.

Can I use Impulse-Momentum Calculator on my phone?+

Yes! Impulse-Momentum Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

How do I report a bug?+

If you notice any issues with Impulse-Momentum Calculator or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!

About

The Impulse-Momentum Theorem states that the impulse applied to an object is equal to the change in its linear momentum.

This means that if you know the mass and the change in velocity of an object, you can precisely determine the total force-time product (Impulse) that was applied to it.

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