Impulse Momentum Calculator
impulse-momentum calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Impulse Momentum Calculator
Calculator
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Formula: J = FΔt = Δp = m(v₂-v₁)
Worked example — 5800 N average force
Formula
J = FΔt = Δp = m(v₂-v₁)
Impulse equals the change in momentum. Longer contact time reduces peak force.
Worked Examples
Example 1: Baseball hit
Problem:0.145 kg ball, 0→40 m/s in 0.001s
Solution:J=0.145×40=5.8 N·s, F=5800 N
Result:5800 N average force
Frequently Asked Questions
What is impulse in physics?
Impulse (J) is the product of the net force and the time interval over which it acts: J = FΔt. It equals the change in momentum (Δp = mΔv), measured in Newton-seconds (N·s) or kg·m/s.
How do you calculate impulse and momentum change?
Use J = Δp = m(v₂ - v₁). Multiply the object's mass by the change in velocity. For a 0.5 kg ball going from 0 to 20 m/s: J = 0.5 × 20 = 10 N·s.
What units are used for impulse and momentum?
Both impulse and momentum share the same SI units: kg·m/s or equivalently N·s. Force is in Newtons (N), time in seconds (s), mass in kilograms (kg), and velocity in m/s.
Why do airbags and padded surfaces reduce injury?
Airbags extend the collision time (Δt). Since J = FΔt = constant, a longer Δt means a smaller average force F on the body. A 10 N·s impulse in 0.01 s gives 1000 N; in 0.1 s it gives only 100 N.
What is momentum and how is it conserved?
Momentum is p = mv (mass times velocity). In a closed system with no external forces, total momentum is conserved. In elastic collisions, both momentum and kinetic energy are conserved. In inelastic collisions, momentum is conserved but kinetic energy is not. Impulse (F*t) equals the change in momentum.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator · Editorial policy
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