Impulse and Momentum - Theory & Concepts - Impulse Momentum

A comprehensive overview of Impulse and Momentum, analyzing collisions, variable mass systems, and the impulse-momentum theorem.

Open the complete lesson

Interactive engineering simulation

Impulse-Momentum Collision Pulse Simulator

Compare different collision force profiles (Rectangular, Triangular, or realistic Sinusoidal). Scrub through the motion to see how the area under the force-time curve translates to momentum transfer.

Force Pulse Profile (Shape)

Peak Impact Force900 N

100–3000

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Contact Duration (Δt)0.18 s

0.02–1.00

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Cart Mass3.0 kg

0.5–20.0

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Motion Scrubber0.65

0.00–1.00

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Governing Formulas

Impulse-Momentum Theorem

J = \int F dt = m \cdot \Delta v

Impulse (Area under curve)

J = \frac{1}{2} F_{peak} \cdot \Delta t

Total Impulse (J)

81.0 N·s

Velocity Increase (Δv)

27.00 m/s

Model scope and verification

Use the displayed units and idealizations, then verify the governing balance or compatibility equation before interpreting the result.

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