Asked Apr 3, 2019

A person starts from rest at the top of a large frictionless spherical surface, and slides into the water below (see the drawing). At what angle θ does the person leave the surface? (Hint: When the person leaves the surface, the normal force is zero.)


Expert Answer

Step 1

Given: Person starts from rest, thus initial velocity, vi = 0 m/s

               Person starts sliding from top of a surface, which is at height, h = r m (from the ground)

               When the person leaves the surface, normal force N = 0

Find: At what angle does the person leave the surface.

Step 2

At the top of the slide, before the person starts its journey, the force of gravity which is acting downward is balanced by the normal force acting upward.


Step 3

As the person moves down the slide, a component ...


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