A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in FIGURE

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A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in FIGURE CP10.74.

imagea. Find an expression for the sled??s speed when it is at angle ϕ.b. Use Newton??s laws to find the maximum speed the sled can have at angle ϕ without leaving the surface.c. At what angle ϕmax does the sled ??fly off?? the hill?

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