![]() In the International System of Units, these are kg⋅ m/s = N⋅ s. Impulse has the same units and dimensions (MLT −1) as momentum. v 1 is the initial velocity of the object when the time interval begins. ![]() v 2 is the final velocity of the object at the end of the time interval, and.t 1 and t 2 are times when the impulse begins and ends, respectively,.Conversely, a small force applied for a long time produces the same change in momentum-the same impulse-as a larger force applied briefly.Ī large force applied for a very short duration, such as a golf shot, is often described as the club giving the ball an impulse. A resultant force applied over a longer time, therefore, produces a bigger change in linear momentum than the same force applied briefly: the change in momentum is equal to the product of the average force and duration. The corresponding English engineering unit is the pound-second (lbf⋅s), and in the British Gravitational System, the unit is the slug-foot per second (slug⋅ft/s).Ī resultant force causes acceleration and a change in the velocity of the body for as long as it acts. The SI unit of impulse is the newton second (N⋅s), and the dimensionally equivalent unit of momentum is the kilogram meter per second (kg⋅m/s). Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the resultant direction. Since force is a vector quantity, impulse is also a vector quantity. In classical mechanics, impulse (symbolized by J or Imp) is the integral of a force, F, over the time interval, t, for which it acts.
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