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A skier starts at the top of a hill with height H, skies down and then...

A skier starts at the top of a hill with height H, skies down and then climbs a smaller hill. The smaller hill is shaped like a large snowball with a radius R. As the skier skies straight down the side, at what point does she lose contact with the snowball and fly off at a tangent: at what angle α does a radial line from the center of the snowball to the skier make with the vertical? Ignore friction.

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