Displacement in the direction perpendicular to the Force


 
 
Concept Explanation
 

Displacement in the direction perpendicular to the Force

Displacement In The Direction Perpendicular To The Force: If the displacement of an object is perpendicular to the force acting on it, the work done by the force on the object is zero.

Consider, for example,

1.The force of gravity acting on an aeroplane flying in the sky. The force of gravity is in the downward direction, whereas the aeroplane’s displacement is in the horizontal direction, i.e., the force and the displacement are perpendicular to each other.

2. A coolie carrying load on his head. In this case, force is acting vertically downward (weight of load) and displacement is along horizontal direction i.e. force and displacement are perpendicular to each other. W = 0.

When Displacement is Perpendicular to the force

 Work done = Force x displacement                       = F x s costheta       

As cos theta is zero, therefore, work done is also zero                        

Sample Questions
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Question : 1

No work is done when

Right Option : C
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Question : 2

The work done by a centripetal force

Right Option : D
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Question : 3

When the force applied and the displacement of the body are inclined at 90^{circ} with each other, the work done is

Right Option : C
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