Engineering
Physics
Work Done by a Variable Force
Question

The work done on a particle of mass m by a force, K [x(x2+y2)3/2i^+y(x2+y2)3/2j^]  (K being a constant of appropriate dimensions), when the particle is taken from the point (a, 0), to the point (0, a) along a circular path of radius a about the origin in the x-y plane is

 2a

 a

 2a

0

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Solution

 F=[xi^+yj^(x2+y2)3/2]

is perpendicular to the displacement

  WD = 0