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If a particle is compelled to mvoe on a ...

If a particle is compelled to mvoe on a given smooth plane curve under the action of given forces in the plane
`vec(F)=xvec(i)+yvec(j),` then:

A

`vec(F).dvec(r)=xdx+ydy`

B

`intvec(F).dvec(r)ne1/2mv^(2)`

C

`vec(F).dvec(r) nexdx+ydy`

D

`1/2mv^(2)neint(xdx+ydy)`

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(F).dvec(r)=(xhat(i)+yhat(j)).(hat(i)dx+hat(j)dy)`
`=xdx+ydy`
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