A person starts from rest at the top of a large, frictionless, spherical surface, and slides into the water below. At what angle θ does the person leave the surface? (Hint: When the person leaves the surface, the normal force is zero.)
The Attempt at a Solution
I honestly would love to give this an attempt, but I just don't know where to start. It's a problem in my Energy and Power chapter, so I would assume that at the top E(total)=mgh. I just don't know where the angle comes into play. The hint leads me to believe that it would be at an angle of 90 because the entirety of the persons weight force is tangent to the circle, but this answer was wrong.