A skier goes down a 78 meter high hill with a variety of slopes Assuming there i

Question

A skier goes down a 78 meter high hill with a variety of slopes Assuming there is no friction, what is the maximum speed she can obtain if she starts from rest at the top? 7. 8. A 50 kg skier goes down a 78 meter high hill with a variety of slopes. She finally stops at the bottom of the hill. If friction is the force responsible for her stopping, how much work does it do? What happens to this work at the end? A block with an initial speed vo, is at the start of the hilly path shown n the figure below. There is no friction between the block and the path, except on the 12-m long stretch between points B and points C., where the kinetic friction coefficient is H-0.43. 9.

Explanation / Answer

Problem 7)

Using law of Conservation of energy

Ki + Ui = Kf + Uf

0.5 m vi2 + m g yi = 0.5 m vf2 + m g yf

0 + g yi = 0.5 vf2 + g yf

vf2 = 2 g (yi-yf)

vf = sqrt( 2 g (yi-yf))

vf = sqrt( 2 x 9.8 x 78) = 39 m/s

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