Question

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)`

Answer 1

Correct Answer - A
`vec(F).dvec(r)=(xhat(i)+yhat(j)).(hat(i)dx+hat(j)dy)`
`=xdx+ydy`