Calculator Servicescalculatorservices.com
Physics

Impulse-Momentum

Full impulse-momentum. Free online Impulse-Momentum. Calculate impulse-momentum online — fast, accurate, mobile-friendly, no signup needed.

J = Δp = F·Δt.
Impulse = Δp
20 kg·m/s

Derivation

  1. ├── 01Givenm = 2, vi = 0, vf = 10
  2. ├── 02Formulat × (e.vf-a)
  3. ├── 03Substitutet × (e.10-a)
  4. └── 04Compute Impulse = Δp20 kg·m/s
Did you know?

The "220 − age" max-heart-rate rule (Karvonen, 1957) is a population average with a ±12 bpm standard deviation — a lab VO₂ test is the only truly individual answer.

§01What is

Understanding the Impulse-Momentum

The Impulse-Momentum computes Impulse = Δp from 3 inputs: mass (kg), initial v (m/s), final v (m/s). Full impulse-momentum.

Physics is the toolkit for turning a real-world observation into a prediction. Whether it’s a falling object, a moving car, or a stressed beam, the equations here are the same ones every engineer relies on. The Impulse-Momentum sits in that toolkit — it full impulse-momentum. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

t × (e.vf-a)

Where

m
Mass (kg)
vi
Initial v (m/s)
vf
Final v (m/s)
result
Impulse = Δp — in kg·m/s
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Mass (kg) = 2, Initial v (m/s) = 0, Final v (m/s) = 10.

  1. 01Start by noting the input — Mass (kg): 2.
  2. 02Start by noting the input — Initial v (m/s): 0.
  3. 03Start by noting the input — Final v (m/s): 10.
  4. 04Substitute these values into the formula: t × (e.vf-a)
  5. 05Compute Impulse = Δp: the calculator returns 20 kg·m/s.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Impulse-Momentum Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Mass (kg) halved

m = 1 (from 2)

Keep every other input at its default and halve the mass (kg). See how impulse = δp responds.

  1. 01New Mass (kg): 1
  2. 02Baseline Impulse = Δp: 20 kg·m/s
  3. 03New Impulse = Δp: 10 kg·m/s
  4. 04Impulse = Δp decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Mass (kg) doubled

m = 4 (from 2)

Keep every other input at its default and double the mass (kg). See how impulse = δp responds.

  1. 01New Mass (kg): 4
  2. 02Baseline Impulse = Δp: 20 kg·m/s
  3. 03New Impulse = Δp: 40 kg·m/s
  4. 04Impulse = Δp increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Final v (m/s) halved

vf = 5 (from 10)

Keep every other input at its default and halve the final v (m/s). See how impulse = δp responds.

  1. 01New Final v (m/s): 5
  2. 02Baseline Impulse = Δp: 20 kg·m/s
  3. 03New Impulse = Δp: 10 kg·m/s
  4. 04Impulse = Δp decreases by 50% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Final v (m/s) doubled

vf = 20 (from 10)

Keep every other input at its default and double the final v (m/s). See how impulse = δp responds.

  1. 01New Final v (m/s): 20
  2. 02Baseline Impulse = Δp: 20 kg·m/s
  3. 03New Impulse = Δp: 40 kg·m/s
  4. 04Impulse = Δp increases by 100% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
Your feedback

How useful was this calculator?

Your ratings stay in your browser — they help us learn which tools people actually rely on.

Rate it
Was this helpful?