Problem 38 A skier leaves the starting gate at the top of a skijump with an init

Question

Problem 38 A skier leaves the starting gate at the top of a skijump with an initial speed of v-4.20 m/s (see the figure below). The starting position is 120 m higher than the end of the ramp, which is 3.00 m above the snow. Find the final speed of the skier if he lands 145 m down the 20.0° slope. Assume there is no friction on the ramp, but air resistance causes a 50% loss in the final kinetic energy. The GPS reading of the elevation of the skier is 4212 m at the top of the jump and 4039 m at the landing point. V m/s GPS elevation 4212 m 120 145 m 20° GPS elevation 4039 m 1) Find the final speed of the skier. (Express your answer to three significant figures.) submit You currently have 0 submissions for this question. Only 10 submission are allowed. asiene for this question.

Explanation / Answer

Applying Principle of Conservation of energy:
Let skier's mass be m.
Energy at top = Potential + kinetic
= mgh + ½mvo^2
Energy at bottom = ½ mvf^2
But he loses half of his final KE . So:
½ Top energy = Bottom energy
½ [(mx9.8x173) + (½m*(4.2)^2)] = ½ mvf^2     (h=4212-4039=173)
Cancel out the mass:
½ [ 1695.4 + 8.82] = ½ vf^2
Final velocity = 1703.4
= 41.28 m/s

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