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Grade 12th passMechanics

a force F=-k(yi+xj)(where k is constant)acts on a particle moving in the xy plane.Starting from the origin.the particle is taken along y-axis to the point (0,a).the workdone by agent applying the force F on the particle is

Profile image of Evil spirit
6 Years agoGrade 12th pass
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1 Answer

Profile image of Vikas TU
6 Years ago
Dear student 
F = -k(xi+yj)
W = F.dr              (dot product of force & displacement)
displacement vector(dr) is of line joining initial & final position vectors...
W = -k(xi+yj).(dxi+dyj)
W = -2k[xy] lim (0,0) to (a,a)
W = -2ka^2
this is the amount of work
Hope this helps