# A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing below illustrates.The crest of the second hill is circular, with a radius of r = 37.3 m. Neglect friction and air resistance. What must be the height h of the first hill so that the skier just loses contact with the snow at the crest of the second hill?

Question
Asked Feb 26, 2019
1433 views

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing below illustrates.

The crest of the second hill is circular, with a radius of r = 37.3 m. Neglect friction and air resistance. What must be the height h of the first hill so that the skier just loses contact with the snow at the crest of the second hill?

check_circle

Step 1

The height of the first hill can be calculated in given steps.

Given:

Radius of circular hill, r = 37.3 m

Step 2

Calculation:

The centripetal force is balanced by the weight and the normal force. Thus, we have

Step 3

According to law of conservation of ener...

### 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