Question

What is the best definition for work?

Answer 1

Work is done when a force is in the same direction as the object moves.

Explanation:

The work done by a force in moving an object is given by the equation

$W=Fd cos \theta$

where

F is the magnitude of the force

d is the displacement of the object

$\theta$ is the angle between the directions of F and d

From the equation, we notice the following:

• Work is done by a force when the force is in the same direction as the object moves. In fact, in this case, $\theta=0^{\circ}$, and so $cos \theta = 1$, which means that the work done simply becomes $W=Fd$
• When the force is perpendicular to the motion of the object, $\theta=90^{\circ}$ and $cos \theta = 0$, which means that no work done
• Technically, work is also done when the force is not parallel to the motion of the object: in this case, the factor $cos \theta$ means that only the component of the force parallel to the direction of motion contributes to do work on the object.

Therefore, the correct answer is

Work is done when a force is in the same direction as the object moves.

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