MHB What is the dot product formula for constant force work?

[cbarker1]

What is the physics work formula for a vector?

 

[MarkFL]

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:

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

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:

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