Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.MiscellaneousEasy2 minPYQ_2020
PhysicsEasysingle choice

A particle of massmmoves along the quarter section of the circular path whose centre is at the origin. The radius of the circular path isa. A forceF=yi^-xj^Nacts on the particle, wherex,ydenote the coordinates of the position of the particle. Calculate the work done by this force in taking the particle from pointA(a, 0)to pointB(0, a)along the circular path.


Options:

Answer:
C
Solution:

Work done by force F;

w=F.dr=yi^-xj^.(dxi^+dyj^) 

=ydx-xdy

x2+y2=a2

xdx+ydy=0

W=y-ydyx-xdy=-x2+y2xdy

=-0aa2a2-y2dy=-πa22

Subject:PhysicsTopic:W.E.P.Subtopic:Miscellaneous
2mℹ️ Source: PYQ_2020

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