Question

Find the work done by a force F = 4i − 3j + 2k that moves an object from the point (3, 2, -1) to the point (2, -1, 4) along a straight line. The distance is measured in meters and the force in newtons.

Answer 1

15 N

Step-by-step explanation:

work done by the force in vector form is given by the equation,

`W = \vec{F}.\delta \vec{r}`

where . represents the dot product.

in the given question,

`F = 4i - 3j + 2k`

and

`\delta \vec{r} = (2 - 3)i + (-1 - 2)j + (4 - (-1))k`

`\delta \vec{r} = -i - 3j + 5k`

on doing the dot product we get

`W = -4 + 9 + 10\\W = 15`

Hopefully this answer helped you.