Question

PHYS 2010-001 Test 2 Accessibility Mode Prin Part II: Problem (See Instructions on the 1* page)- [30 points] 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 ofr 36 m. Neglect friction and air resistance. Th a. What must be the height h of the first hill so that the skier just loses contact with the snow at the crest of the second hill?

Answer 1

The skier will lose contact if the normal force is equal to zero: At the crest of the second hill УF — тg — N 3D та, — т— In this case: N = 0 Then: ту? mg = then: v2 =rg Now, using the conservation of energy: Eo = EF 1 mv2 mgh 2 Then: 1 тgh 2m(rg) Then 1 1 (36) 18 m