Question

A constant force a={2,8} moves an object along a straight line from the point (3,6) to the point (10,14). Find the work done if the distance is measured in feet and the force is measured in pounds.

Answer 1

Answer:

The work done is 78 ft-lbs.

Step-by-step explanation:

The work W done by a force F in moving along a vector D is

$\textbf{W}= \textbf{F}\cdot \textbf{D}$

In our case the displacement vector is

$\textbf{D}==$

So the work done is

$\textbf{W}= \textbf{F}\cdot \textbf{D}\\\textbf{W}=\cdot \\\textbf{W}=2\cdot7+8\cdot 8\\\textbf{W}=78$

We know that the unit of force is pounds and the distance is mesuared in feet, then the work done is 78 ft-lbs.