For calculating work, the force and the distance must be in the same direction
Explanation:
The work done by a force on an object is given by the equation
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
The equation can be rewritten as
[tex]W=(F cos \theta) d[/tex]
where [tex]F cos \theta[/tex] is the component of the force parallel to the displacement of the object. This means that when calculating the work, only the component of the force parallel to the motion of the object contributes to the work: in this sense, we can say then for work to be different from zero, the force must have a component in the same direction as the motion of the object.
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