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123. assignment (kinetic energy - skier)

A skier skis from rest from vertical height h1=19.6 m over two successively lower hills of vertical  height h2=15 m and h3=8.8 m .

The summit of the third hill fits a circle of radius h3 centered at height 0 m. Friction with snow and air resistance is negligible.

 

a) Find her speeds at x1, x2, x3

b) Does the skier leave the surface at x3?

If not what should h1 be so that she just leaves the surface at x3? If yes find the maximum value of h1 at which the skier stays on. (Ignore the middle hill in this calculation.)

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