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A 60-kg skier with an initial speed of 16.5 m/s coasts up a 2.50-m high rise.
Find her final speed at the top in m/s, given that the coefficient of friction between her skis and the snow is 0.08
angle= 35
2 Answers
- electron1Lv 75 years ago
Since the skier is moving up the inclined plane, there are two forces that cause her to decelerate. These two forces are the component of her weight that is parallel to the inclined plane and the friction force.
Force parallel = 60 * 9.8 * sin 35= 588* sin 35
Fg = 0.8 * 60 * 9.8 * cos 35 = 470.4 * cos 35
Total = 588 * sin 35 + 470.4 * cos 35
To determine the deceleration, divide by 60.
a = -(9.8 * sin 35 + 7.84 * cos 35)
This is approximately negative 12.04 m/s^2. Use the following equation to determine her final speed.
vf^2 = vi^2 + 2 * a * d, vi = 16.5
d is the length of the inclined. d = 2.50 ÷ sin 35
vf^2 = 16.5^2 + 2 * -(9.8 * sin 35 + 7.84 * cos 35) * 2.50 ÷ sin 35
This is approximately 13 m/s.