Impulse — Science definition

Defined in 2 courses:

Where it is taught

In use

To change an object's momentum you must apply a force for some time, and that combination is called impulse: J = FΔt.

Momentum & Collisions

Impulse J=∫Fdt changes momentum; for a known average force, J=FavgΔt=Δp.

Impulse & Collision Evidence

Questions using impulse

Problem 1

A 0.50 kg ball, initially at rest, is struck and leaves at 20 m/s. Find the impulse delivered to it.
Answer and explanation

10 kg·m/s

Impulse equals the change in momentum: J = Δp = m(v_f − v_i) = 0.50 × (20 − 0) = 10 kg·m/s.

Problem 2

A 3 kg cart at 4 m/s sticks to a 1 kg cart initially at rest. Neglect external impulse. Find final velocity and kinetic-energy decrease.
Answer and explanation

Initial momentum=12 kg·m/s, so vf=3 m/s. Ki=24 J and Kf=18 J;6 J leaves the kinetic category through other energy forms.

Initial momentum=12 kg·m/s, so vf=3 m/s.

Ki=24 J and Kf=18 J;6 J leaves the kinetic category through other energy forms.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 3

Independent chapter check: A3 kg cart at4 m/s sticks to a1 kg cart initially at rest. Neglect external impulse. Find final velocity and kinetic-energy decrease.
Answer and explanation

Initial momentum=12 kg·m/s, so vf=3 m/s. Ki=24 J and Kf=18 J;6 J leaves the kinetic category through other energy forms.

Initial momentum=12 kg·m/s, so vf=3 m/s.

Ki=24 J and Kf=18 J;6 J leaves the kinetic category through other energy forms.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 4

Explain, using impulse, why a car's airbag reduces the force on a passenger during a crash.
Answer and explanation

The passenger's change in momentum in the crash is fixed by their mass and speed. Since impulse FΔt equals that change in momentum, F = Δp/Δt. An airbag increases the stopping time Δt, and a larger Δt makes the average force F smaller, reducing injury.

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