A force
(where K is a positive constant) acts on a particle moving in the xy-plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the force F on the particles is
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While moving from (0,0) to (a,0)
Along positive x-axis, y = 0 
i.e. force is in negative y-direction while displacement is in positive x-direction.
∴ ∴ 
Because force is perpendicular to displacement
Then particle moves from
to
along a line parallel to y-axis
during this 
The first component of force,
will not contribute any work because this component is along negative
x-direction
while displacement is in positive y-direction (a,0) to (a, a). The second component of
force i.e.
will perform negative work
∴ ∴
= 
So net work done on the particle 
= 
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