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Physics · Ch 4 — Laws of Motion

Impulse of a Force

4.9

Impulse of a Force

Newton's first law says an unbalanced force changes momentum; the second law makes this precise, F⃗=dp⃗dt\vec{F}=\frac{d\vec{p}}{dt}, so dp⃗=F⃗ dtd\vec{p}=\vec{F}\,dt. The quantity 'change in momentum' produced by a force is given its own name: the IMPULSE of the force, J⃗\vec{J}. …

Figure 4.5Fig 4.5: Graphical representation of impulse of a force

What this figure shows. A force-versus-time (F-t) graph with the force axis starting at zero, depicting a typical collision (e.g. bat striking ball): the curve starts at zero force, rises smoothly to a single maximum (peak) somewhere in the middle of the contact interval, then decreases back to zero, tracing a roughly bell/hump-shaped curve over the short contact duration (delta t). The entire region under this hump-shaped curve is shaded, representing the impulse (the product of force and time, i.e., the area under the F-t curve); the caption notes that for a softer object (e.g. a softer tennis ball) the collision time is longer and the peak force is correspondingly s …