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AB is a quarter of smooth circular track...

AB is a quarter of smooth circular track of radius `R=6m`. A particle P of mass `0.5kg` moves along the track from A to B under the action of the following forces.

a. A force `F_1` directed always towards the point B, its magnitude is constant and is equal to `20N`.
b. A force `F_2` directed along the instantaneous tangent to the circular track, its magnitude is `(15-10S)N`, where S is the distance travelled in metre.
c. A horizontal force of magnitude `30N`.
Find the work done by forces mentioned in (a), (b) and (c)

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AB is a quarter of a smooth horizontal circular track of radius R,A particle P of mass m moves along the track from A to B under the action of following forces: vec(F_(1) =F (always towards y-axis) vec(F_(2)) =F (always towards point B) vec(F_(3)) =F (always along the tangent to path AB) vec(F_(4)) =F (always towards x-axis) {:(ColumnI," ",ColumnII),((A) "Work done by" vec(F_(1))," ",(P) sqrt(2)FR),((B) "Work done by" vec(F_(2))," ",(Q)FR),((C) "Work done by" vec(F_(3))," ",(R) (piFR)/(2)),((D) "Work done by" vec(F_(4))," ",(S) (2FR)/(pi)):} Select correct alternative :-

AB is a quarter of a smooth horizontal circular track of radius R,A particle P of mass m moves along the track from A to B under the action of following forces: vec(F_(1) =F (always towards y-axis) vec(F_(2)) =F (always towards point B) vec(F_(3)) =F (always along the tangent to path AB) vec(F_(4)) =F (always towards x-axis) {:(ColumnI," ",ColumnII),((A) "Work done by" vec(F_(1))," ",(P) sqrt(2)FR),((B) "Work done by" vec(F_(3))," ",(Q)FR),((C) "Work done by" vec(F_(3))," ",(R) (piFR)/(2)),((D) "Work done by" vec(F_(4))," ",(S) (2FR)/(pi)):} Select correct alternative :-

AB is a quarter of a smooth horizontal circular track of radius R,A particle P of mass m moves along the track from A to B under the action of following forces: vec(F_(1) =F (always towards y-axis) vec(F_(2)) =F (always towards point B) vec(F_(3)) =F (always along the tangent to path AB) vec(F_(4)) =F (always towards x-axis) {:(ColumnI," ",ColumnII),((A) "Work done by" vec(F_(1))," ",(P) sqrt(2)FR),((B) "Work done by" vec(F_(3))," ",(Q)FR),((C) "Work done by" vec(F_(3))," ",(R) (piFR)/(2)),((D) "Work done by" vec(F_(4))," ",(S) (2FR)/(pi)):} Select correct alternative :-