Impulse-Momentum Equation -

An Alternate Method

BHS -> Mr. Stanbrough -> -> Physics -> Mechanics -> Momentum -> Impulse & Momentum -> this page

Suppose you apply a constant net
force, F_{net}, to an object of mass
m. Newton's Second Law tells
you that the object will accelerate,
so if it starts with velocity
v_{o}, after some time t its velocity will be v. This
situation is diagrammed below.

From kinematics we know that the acceleration of the object is the rate its velocity changes. In symbols:

We also know, from Newton's Second Law, that:

Setting the right sides of these equations equal to each other gives:

"Cross-multiplying:"

This is the Impulse-Momentum Equation.

last update January 12, 2010 by JL Stanbrough