# Impulse-Momentum Theorem

on . Posted in Classical Mechanics

The impulse experienced by an object is related to the change in its momentum when a force is applied.  The impulse-momentum theorem states that the impulse, abbreviated as J, experienced by an object is equal to the change in its momentum, abbreviated as $${\Delta p}$$.  This relationship can be expressed as  If a force ( $${F}$$) is applied to an object for a certain duration ( $${\Delta t}$$), the impulse experienced by the object is given by

### Impulse-Momentum Theorem formula

This equation shows that applying a force to an object for a certain duration results in a change in its velocity, and consequently, a change in momentum

$$F \; \Delta t = m \; \Delta v$$     (Impulse-Momentum)

$$F = m \; \Delta v \;/\; \Delta t$$

$$m = F \; \Delta t \;/\; \Delta v$$

$$\Delta v = F \; \Delta t \;/\; m$$

$$\Delta t = m \; \Delta v \;/\; F$$

Symbol English Metric
$$F$$ = Force $$lbf$$  $$N$$
$$m$$ = Mass $$lbm$$ $$kg$$
$$\Delta v$$ = Velocity Change $$ft\;/\;sec$$   $$m\;/\;s$$
$$\Delta t$$ = Time Change $$sec$$ $$s$$