2. 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 illustrates. The crest of the second hill is circular, with a radius of 28.6 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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At this point, the skier just loses contact with the snow, meaning the normal force is zero. The only force acting on the skier is gravity, providing the centripetal force needed to keep the skier moving in a circular path. Show more…
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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 illustrates. The crest of the second hill is circular, with a radius of $r=36 m$ . 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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