4. (Challenge problem) A skier of mass m starts from rest at the top of a large solid sphere of radius R and slides down its frictionless surface. (a) At what angle relative to the top of the sphere will the skier leave the sphere? (b) If friction were present, would the skier fly off at a greater or smaller angle?
4. (Challenge problem) A skier of mass m starts from rest at the top of a large solid sphere of radius R and slides down its frictionless surface. (a) At what angle relative to the top of the sphere will the skier leave the sphere? (b) If friction were present, would the skier fly off at a greater or smaller angle?
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