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No work is done when
a nail is plugged into a wooden board
a box is pushed along a horizontal floor
there is no component of force parallel to the direction of motion
there is no component of force normal to the direction of force
-So, work done by a force is defined as the product of the applied force with the displacement component caused by this force.This is why there is no work done on the system if the applied force and the resultant displacement are perpendicular.
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