Momentum & Impulse Calculators — Collisions & Conservation
Calculate momentum (p = mv), impulse (J = F·Δt), and collision outcomes. Solve elastic and inelastic collision problems step by step with worked examples.
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Understanding Momentum & Impulse
Momentum (p = mv) measures how hard it is to stop a moving object. A 0.15 kg baseball at 40 m/s has 6 kg·m/s of momentum, while a 2,000 kg car at just 0.003 m/s has the same momentum. This makes momentum a more complete measure of "motion" than speed alone, because it accounts for both mass and velocity.
Impulse (J = FΔt) is the mechanism for changing momentum. The impulse-momentum theorem — J = Δp — is one of the most practical equations in physics. It explains why catching a ball with soft hands hurts less (longer Δt, smaller F) and why a hammer drives a nail more effectively than a gentle push (shorter Δt, larger F for the same impulse).
Collision problems are the classic application of momentum conservation. Whether you're analyzing a car crash, a billiard ball collision, or a spacecraft docking, the total momentum before equals the total momentum after. These problems often combine momentum with force analysis (to find collision forces) and energy conservation (to determine if a collision is elastic or inelastic).