Definition 4.16.1. Impulse.
An external force \(\vec{F}\) acting on a system from \(t_i\) to \(t_f\) will deliver an impulse to the system of:
\begin{equation*}
\vec{J} = \int_{t_i}^{t_f} \vec{F}dt
\end{equation*}
Section 4.16 The Impulse-Momentum Theorem
Principle 4.16.2. The Impulse-Momentum Theorem.
The net impulse delivered to a system is equal to the change in momentum for that system:
\begin{equation*}
\vec{J}_{net} = \Delta \vec{p}
\end{equation*}
Exercises Activities
1.
When would it be appropriate to say that the momentum of a system is conserved? Give an example of a context where you think the momentum of a system is conserved. Give a different example of a context where you think the momentum of a system is not conserved. Do you think your answers depend on what systems you choose?
