Impulse Calculator
Calculate impulse using J = F·Δt or the impulse–momentum theorem J = m·Δv — with average force and velocity change, in SI units (N·s).
Calculate impulse using J = F·Δt or the impulse–momentum theorem J = m·Δv — with average force and velocity change, in SI units (N·s).
Find the average force in a collision from the momentum change and duration.
See how extending stopping time reduces peak force for the same impact.
Work between impulse, force, time and momentum change.
Compare total impulse from sustained low thrust against a short high-thrust burn.
The change in momentum is fixed by the blow, but stretching the contact time cuts the peak force. Boxers moving away from an impact, and judo breakfalls, are both applying this deliberately.
Work out how many milliseconds of crumple the packaging must provide to keep the force below what a shell survives — then design the padding to deliver it.
Force multiplied by the time it acts, measured in newton seconds. Impulse equals the change in momentum an object experiences, which is why the two share units. A small force over a long time can produce exactly the same momentum change as a large force applied briefly — and that equivalence is the basis of most impact protection.
In a crash the momentum change is fixed: the occupant must go from travelling to stationary. Impulse says force times time equals that fixed change, so extending the time reduces the peak force. An airbag lengthens the stop from milliseconds to tens of milliseconds, cutting the force by roughly the same factor. Crumple zones do the same by deforming progressively rather than stopping rigidly.
To extend the stopping time. Landing stiff-legged brings you to rest in perhaps 50 milliseconds; bending the knees stretches it to 300 or more, cutting the peak force by a factor of six. The same principle governs catching a cricket ball with hands moving backwards, gymnasts rolling on landing, and the padding under playground equipment.
They are the same quantity viewed differently: impulse is what you apply, momentum change is what results. The impulse-momentum theorem states FΔt = mΔv. Rearranged for force, it shows why the duration of an interaction matters as much as its magnitude — a point that force alone never reveals.
It is the area under the force-time graph. Real impacts have a force that rises and falls rather than staying constant, so the average force times the duration gives the impulse. Instrumented crash tests measure exactly this curve, and safety design is largely about flattening its peak while keeping the same total area, since the area is fixed by the momentum change.
Yes. Rocket engines are rated by specific impulse — impulse per unit of propellant — because what matters is total momentum imparted, not instantaneous thrust. A low-thrust ion engine firing for months can deliver more total impulse than a chemical rocket burning for minutes, which is why deep-space missions use them despite their feeble push.