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General Physics I:

Section 4.5 Dynamics

Dynamics in physics explains the causes of motion. In dynamics \(v\neq 0, \quad a\neq 0,\) and \(F\neq 0\text{.}\) From Newton’s Second Law:
\begin{equation*} \sum \vec{F} = m \vec{a} \end{equation*}
or, equivalently
\begin{equation*} \sum F_{x} = m a_{x} \end{equation*}
(x-component of \(\vec{F}\)), and
\begin{equation*} \sum F_{y} = m a_{y} \end{equation*}
(y-component \(\vec{F}\)) For gravitational force or weight, \(F = mg\text{.}\)