In classical mechanics, an impulse is defined as the integral of a force with respect to time. When a force is applied to a rigid body it changes the momentum of that body. A small force applied for a long time can produce the same momentum change as a large force applied briefly, because it is the product of the force and the time for which it is applied that is important. The impulse is equal to the change of momentum.
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Impulse I produced from time t_{1} to t_{2} is defined to be^{[1]}
where F is the force applied dt denotes an infinitesimal amount of time.
From Newton's second law, force is related to momentum p by
Therefore
where Δp is the change in momentum from time t_{1} to t_{2}. This is often called the impulsemomentum theorem.^{[2]}
As a result, an impulse may also be regarded as the change in momentum of an object to which a force is applied. The impulse may be expressed in a simpler form when both the force and the mass are constant:
where
It is often the case that not just one but both of these two quantities vary.
In the technical sense, impulse is a physical quantity, not an event or force. The term "impulse" is also used to refer to a fastacting force. This type of impulse is often idealized so that the change in momentum produced by the force happens with no change in time. This sort of change is a step change, and is not physically possible. This is a useful model for computing the effects of ideal collisions (such as in game physics engines).
Impulse has the same units (in the International System of Units, kg·m/s = N·s) and dimensions (M L T^{−1}) as momentum.
Impulse can be calculated using the equation
where
In classical mechanics, an impulse is defined as the integral of a force with respect to time. When a force is applied to a rigid body it changes the momentum of that body. A small force applied for a long time can produce the same momentum change as a large force applied briefly, because it is the product of the force and the time for which it is applied that is important.
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where
A simple derivation using Newton's second law yields:
where
This is often called the impulsemomentum theorem.^{[1]}
As a result, an impulse may also be regarded as the change in momentum of an object to which a force is applied. The impulse may be expressed in a simpler form when both the force and the mass are constant:
where
It is often the case that not just one but both of these two quantities vary.
In the technical sense, impulse is a physical quantity, not an event or force. The term "impulse" is also used to refer to a fastacting force. This type of impulse is often idealized so that the change in momentum produced by the force happens with no change in time. This sort of change is a step change, and is not physically possible. This is a useful model for certain purposes, such as computing the effects of ideal collisions, especially in game physics engines.
Impulse has the same units and dimensions as momentum (kg m/s = N·s).
Impulse can be calculated using the equation:
$\backslash mathbf\{F\}\backslash Delta\; t\; =\; \backslash Delta\backslash \; p$
$\backslash Delta\backslash \; p$ can be calculated, if initial and final velocities are known,
$\backslash mathbf\{F\}\backslash Delta\; t\; =\; mv\_1\; \; mv\_0$
where
Impulse
In classical mechanics, an impulse is defined as the integral of a force with respect to time:
where
