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Trigonometry Constant Force Work formula

Cbarker1

Active member
Jan 8, 2013
241
What is the physics work formula for a vector?
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Re: Constant Work formula

The work $W$ done by an agent exerting a constant force is the product of component of the force in the direction of the displacement and the magnitude of the displacement of the force:

\(\displaystyle W=Fs\cos(\theta)\)

It is sometimes convenient to express this equation in terms of a scalar product of the two vectors $\textbf{F}$ and $\textbf{s}$. We write this scalar product $\textbf{F}\cdot\textbf{s}$. Because of the dot symbol, the scalar product is often called the dot product. Thus we can express the equation above as a scalar product:

\(\displaystyle W=\textbf{F}\cdot\textbf{s}=Fs\cos(\theta)\)