Answer:
3.2 J
Explanation:
Work Formula
Recall that the work formula is [tex]\rm W=Fdcos\theta[/tex], where
- F is the force applied, in newtons
- d is the displacement the object travels, in meters,
- theta is the angle between F and d, in degrees.
Applying the Formula
The force and distance travelled must be both in the same direction since a force that pulls outwards, disrupting the spring's natural state, makes the spring stretch in the direction that the force is pulling. Since F and d are in same direction, the angle between them is 0!
All there's left to do is the plug the values into the formula and compute!
[tex]W=Fdcos\theta=(40)(0.08)cos(0)\\\\\implies3.2J[/tex]
(Since displacement is given in millimeters instead of meters, a conversion is done to find the meters equivalent of 80mm).
