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?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter8: Conservation Of Energy
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Problem 78PQ: A Eric is twirling a ball of mass m = 0.150 kg attached to a lightweight string in a vertical...
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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?

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