The work done on a body by a force is dependent on the force that acts on the body and the distance that the body moves in the direction of that force according to the formula
= F.dl cos (⊕ )
where F is the magnitude of the force,
dl is the magnitude of displacement of the body while the force acts on it, and ⊕ is the angle between the directions of F and dl.
Work done is by definition the dot product of force and displacement. Such a definition is chosen as a convenient way of expressing the influence of the force acting on the system.
For example, pushing directly on the toy car has no effect because it does not cause movement. The dot product is therefore reasonably zero in this case.
Pressing at progressively shallower angles gradually increases the amount of influence as we create a force component in the direction the toy is able to move.
As this angle becomes shallower, the dot product increases. It reaches its maximum value when the force is parallel to the direction in which the toy can move, which is also the scenario of greatest impact.
More displacement represents more influence. What if we push straight down while it's moving? Neglecting friction, the toy continues to move unchanged and the system is unchanged (zero dot product).
These important factors determine the degree of force influence and are nicely incorporated into the dot product definition.
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