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A skier starts at the top of a very large frictionless spherical snowball, with a very small initial velocity, and skis straight down the side. At what point does she lose contact with the snowball and fly off at a tangent? That is, at the instant when she loses contact with the snowball, what angle does a radial line from the center of the snowball to the skier make with the vertical?

So, I want to use K_1 + U_1 = K_2 + U_2, but I am confused b/c there are no numbers. The answer is 48.2 degrees, but I don't see how they get this.

Thanks for any help!