A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
A constant force moves an object along a straight line from point (7, -4, 6) to point (-6, -2, 8). Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
Let $\displaystyle \bold{D}$ be the vector from (7,-4,6) to (-6,-2,8), that is, $\displaystyle \bold{D} = \left< -13, 2, 2 \right>$
Now the work is given by
$\displaystyle W = \bold{F} \cdot \bold{D}$
of course, $\displaystyle \cdot $ here means dot product