Physics

posted by .

A skier starts at rest on the top of Mt Circular, a strange, smooth, icy hill shaped like a hemisphere. The hill has a constant radius of R. Neglecting friction (it is icy!), show that the skier will leave the surface of the hill and become air-borne at a vertical distance of h=R/3, measured from the top of the hill.

I think the way to do it is to use forces, since at R/3 Fn=0, and combine that with conservation of energy, but everything I try just leads in one big circle and I can't get anywhere.

  • Physics -

    The normal component of weight has to less than centripetal force. Solve that .

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A skier with a mass of 70 kg starts from rest and skis down an icy (frictionless) slope that has a length of 52 m at an angle of 32° with respect to the horizontal. At the bottom of the slope, the path levels out and becomes horizontal, …
  2. physics

    a 75.0 kilogram skier is at the top of a hill that is thirty degrees above the horizontal. the skier starts form and then travels down the hill which is 100 meters long. the skier at the bottom of the hill instantaneously then travels …
  3. physics

    A skier is slidding downhill at 8m/s. When she reaches an icy patch on which her sis move freely with negligible friction. The difference on altitude between the top of the icy patch and its bottom is 10m. What is the speed of the …
  4. Physics help

    A skier approaches the base of an icy hill with a speed of 11.6 m/s. The hill slopes upward at 24° above the horizontal. Ignoring all friction forces, find the acceleration of this skier (a) when she is going up the hill, (b) when …
  5. Physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.3 m. Neglect friction and air resistance. …
  6. Physics

    A skier with a mass of 66.6 kg starts from rest and skis down an icy (frictionless) slope that has a length of 58.4 m at an angle of 29.8° with respect to the horizontal. At the bottom of the slope, the path levels out and becomes …
  7. physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.1 m. Neglect friction and air resistance. …
  8. physics

    A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 39.6 m. Neglect friction and air resistance. …
  9. Physics

    A skier skis from rest from a vertical height h1 = 19.1 m over two successively lower hills of vertical heights h2 = 15 m and h3 = 5.2 m. (Fig. 7-30). The summit of the third hill fits a circle of radius h3 centered at height 0 m. …
  10. Physics

    A skier skis from rest from a vertical height h1 = 19.1 m over two successively lower hills of vertical heights h2 = 15 m and h3 = 5.2 m. (Fig. 7-30). The summit of the third hill fits a circle of radius h3 centered at height 0 m. …

More Similar Questions