CLS-23

Impulse

Change of momentum.

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GoverningImpulse

Governing equation

J=F\Delta t

$F \in \left[1, 400\right]$

where

F: F (N)
dt: dt (s)
J: Impulse (N·s)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

J=F\Delta t

$F \in \left[1, 400\right]$

$F = 1$ $J = 0.2$

Along the curve

②

Domain of the variable — blue

F_{\min} = 1,\quad F_{\max} = 400

$F \in \left[1, 400\right]$

$F = 1$ $F = 1$

Along the curve

③

Response curve — green

J=F\Delta t

$F \in \left[1, 400\right]$

$F = 1$ $J = 0.2$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}J}{\mathrm{d}F}

$F \in \left[1, 400\right]$

$F = 3.509$ $J^{\prime} = 0.2$

Along the curve

Lecture brief

Historical brief

Newtonian mechanics (1687) plus energy, angular momentum, Kepler and the ballistic parabola remain the first language of motion. Every sheet here is a closed-form orbit, throw, spin or oscillator. This sheet (CLS-23 — Impulse) is the form associated with Impulse. Working symbols: $F$ , $dt$ $\rightarrow$ $J$ . Change of momentum. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

J

from

F

dt

in Classical mechanics via

J=F\Delta t

Change of momentum. Use it when a real classical mechanics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

F = 50.000\,\mathrm{N}

dt = 0.200\,\mathrm{s}

, the governing relation

J=F\Delta t

yields

J = 10.000\,\mathrm{N·s}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

F F50 Ndt dt0.2 s

Outputs

Impulse J10.000 N·s

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Change of momentum. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube