Physics overview
What is impulse?
Impulse measures the effect of a force acting over a period of time. A larger force or a longer time interval produces a greater impulse.
Formula
Impulse formula
ImpulseJ = FΔt
- J is impulse in newton-seconds.
- F is average force in newtons.
- Δt is the time interval in seconds.
Worked example
A 120 N force acts for 0.5 s
- Write the formula: J = FΔt.
- Substitute the values: J = 120 × 0.5.
- Calculate the impulse: J = 60 N·s.
Momentum relationship
Impulse equals change in momentum
Impulse-Momentum TheoremJ = Δp
An impulse changes an object's momentum. The same impulse can result from a large force acting briefly or a smaller force acting for longer.
Rearranged equations
Solve for force or time
Force
F = J ÷ Δt
Divide impulse by the time interval.
Time Interval
Δt = J ÷ F
Divide impulse by force.
Units
Standard SI units
Use newton-seconds for impulse, newtons for force, and seconds for time. One newton-second is equivalent to one kilogram-meter per second.
Real-world applications
Where impulse calculations are used
- Collisions and impact experiments.
- Sports involving balls, bats, or rackets.
- Vehicle safety systems and crumple zones.
- Laboratory momentum investigations.
Calculation limits
Important assumptions
- Impulse, force, and time interval must be greater than zero.
- The force value represents the average force over the interval.
- Time should be entered in seconds.
- The calculator uses magnitudes and does not represent vector direction.
- Units are not converted automatically.
Questions and answers
Impulse calculator FAQ
What formula does the impulse calculator use?
It uses J = FΔt, where impulse equals average force multiplied by the time interval.
What is the SI unit of impulse?
The SI unit of impulse is the newton-second, written as N·s. It is equivalent to kilogram-meter per second.
How is impulse related to momentum?
Impulse equals the change in momentum of an object, so J = Δp.
How do you calculate force from impulse?
Divide impulse by the time interval using F = J ÷ Δt.