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Impulse

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In classical mechanics, the impulse of a force is the product of the force and the time during which it acts. Although momentum is conserved within a closed system, individual parts of a system can undergo changes in momentum. Impulse has the same units and dimensions as momentum (kg m/s or N·s). The impulse of a time-varying force is calculated as the integral of force with respect to time:

Impulse is the force applied in a unit of time. force x time which equates to change in momentum.

[\mathbf = \int \mathbf\, dt ]
where
I is impulse,
F is the force,
dt is an infinitesimal amount of time.
In the presence of a constant net force, impulse is equal to the average impulse:

[\mathbf = m \Delta \mathbf = \mathbf\Delta t ]
where
m is the mass of the object,
Δv is the change in velocity,
F is the constant net force applied (in order to change the velocity), and
[\Delta t] is the time interval over which the force is applied.
Using the definition of force yields:

[\mathbf = \int \frac}\, dt ]
[\mathbf = \int d\mathbf ]
[\mathbf = \Delta \mathbf ]
In the technical sense, impulse is a physical quantity, not an event or force. However, the term "impulse" is also used to refer to a change in an object's momentum caused by a fast-acting force. This type of impulse is often idealized so that the change in momentum happens with no change in time. This sort of change is a step change, and is not physically possible. However, this is a useful model for certain computations, such as computing the effects of ideal collisions, especially in game physics engines.

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