# 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.)

Question
406 views

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.)

check_circle

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.

N=mg

Step 3

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

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in