# What is the formula that includes work, force, and displacement?

May 20, 2018

color(green)(W = F cos theta * d, Newton meter

#### Explanation:

F = Force, d = displacement

Work done = Force * Displacement

$W = \vec{F} \cdot \vec{d}$

Force and displacement are vector quantities

If both F and d are in the same direction, $W = F \cdot d$

If force is exerted at an angle of $\theta$ to the direction of motion, then work done

color(green)(W = F cos theta * d

Unit of work is Joule

1 Joule = 1 Newton meter = 1 N m