(Solved): A particle with mass 10kg is resting on a curved surface with a string attached to it. The string ...

A particle with mass $10\mathrm{kg}$ is resting on a curved surface with a string attached to it. The string is taut. The curved surface can be described by the following function $y=?0.5(x?3{)}^2+5$ where the origin $(x=0,y=0)$ is according to the setup above and the particle is $4\mathrm{m}$ away from the origin in the $\mathrm{x}$ direction. Find: the magnitude of the tension and the normal force exerted by the curved surface.