True: when there is an angle between force and displacement, [tex]W=Fd cos \theta[/tex]
Explanation:
The work done by a force when pushing/pulling 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 of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
We have two extreme cases:
- When the force is parallel to the displacement, then [tex]\theta=0^{\circ}[/tex] and [tex]cos \theta = 1[/tex], so the work done is maximum and simply becomes
[tex]W=Fd[/tex]
- When the force is perpendicular to the displacement, then [tex]\theta=90^{\circ}[/tex] and [tex]cos \theta =0[/tex], so the work done is zero.
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