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What is Impulse?

Impulse is the effect a force has on an object's motion when applied over time — it's why a longer contact time (like a padded landing) reduces the force felt in an impact.

Short answer

Impulse equals the average force applied multiplied by the time interval: J = F·Δt, measured in N·s. Impulse also equals the change in momentum, Δp.

Force vs Time (impulse = area under the curve)
503825130
x: time (s) · y: force (N)
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Try it: interactive calculator

Impulse J
100N·s
= 50*2
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Step-by-step worked examples

A force of 500 N is applied for 0.2 s. Find the impulse.

J = F·Δt
J = 500 × 0.2
J = 100 N·s

A 0.45 kg ball speeds up from 0 to 20 m/s when kicked over 0.05 s. Find the average force.

J = Δp = m·v − m·0 = 0.45 × 20 = 9 kg·m/s
F = J/Δt = 9/0.05
F = 180 N

A bat hits a ball with a force of 8000 N for 0.001 s. Find the impulse.

J = F·Δt
J = 8000 × 0.001
J = 8 N·s
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Flashcards

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Quick quiz

Q1.A force of 20 N acts for 3 s. What is the impulse?

Correct answer: C. J = F·Δt = 20 × 3 = 60 N·s.

Q2.Impulse is equal to the change in…

Correct answer: B. The impulse-momentum theorem: J = Δp.

Q3.Why does bending your knees when landing a jump reduce injury?

Correct answer: A. For the same impulse, a longer Δt means a smaller average force F.

Q4.What is the SI unit of impulse?

Correct answer: C. Impulse = force × time = N·s (equivalent to kg·m/s).
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Common mistakes

Thinking impulse and force are the same thing.Correct: Force is instantaneous; impulse is force applied over a time interval.

Ignoring that impulse equals Δp, not p.Correct: Impulse equals the change in momentum, m·Δv, not the final momentum alone.

Assuming a smaller force always means a smaller impulse.Correct: A small force over a long time can produce a large impulse.

Forgetting impulse is a vector.Correct: Direction matters — impulse and the force causing it point the same way.

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FAQ

What is impulse in physics?

Impulse is the change in momentum caused by a force acting over time: J = F·Δt.

What is the formula for impulse?

J = F·Δt, and equivalently J = Δp (change in momentum), measured in N·s.

How do you calculate impulse with an example?

Multiply average force by time. A 100 N force for 0.5 s gives J = 100 × 0.5 = 50 N·s.

Why is impulse important?

It explains why padding, airbags, and follow-through in sports reduce peak force during impacts.

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