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Question

If a particle is compelled to move on a given smooth plane curve under the action of given force in the plane

`vec(F)` =` vec(XI)` +` vec (yj)`. Then


Options:
A .  `vec(F) * vec(dr) = xdx + ydy`
B .  `int vec(F) * vec(dr) ne 1/2 mv^2`
C .  `vec (F) * vec(dr) ne xdx xx ydy`
D .  `1/2 mv^2 ne int (xdx + ydy)`
Answer: Option A

`vec (F) * d vec(r) = ( x hat(i) + y hat(j))  * ( dx hat(i) + dy hat(j))`

                                = `xdx + ydy`



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