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PhysicsQ&A LibraryA 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

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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?

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...

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