integral of a force over the time interval for which it acts; term in classical mechanics
An impulse is the total effect of a force applied over a period of time, calculated by multiplying the force by how long it acts. It matters in physics because it helps explain how forces change an object's motion, and it's a key concept in classical mechanics for understanding collisions and other interactions.
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In classical mechanics, impulse (symbolized by J or Imp) is the change in momentum of an object. It is most often used to describe forces which act over short time periods, specifically in the case of impacts and collisions, for which it gets its namesake. Impulse is a vector quantity, meaning it has both a magnitude, which describes the amount by which the momentum changed, and a direction, which describes the direction in which the momentum changed.
For a force acting over a short time, the impulse is often idealized so that the change in momentum produced by the force is modelled as happening instantaneously. This sort of change is a step change, and is not physically possible. However, this is a useful model for computing the effects of ideal collisions (such as in videogame physics engines). Additionally, in rocketry, the term "total impulse" is commonly used and is considered synonymous with the term "impulse".
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