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EOC_Solution_02_24

Course: PHYSICS 2211, Spring 2008
School: Georgia Tech
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Word Count: 102

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Model: 2.24. We will represent the skier as a particle. Visualize: Note that the skier's motion on the horizontal, frictionless snow is not of any interest to us. Also note that the acceleration parallel to the incline is equal to g sin10. Solve: Using the following constant-acceleration equations, vf2x kinematic = vi2x + 2 a x ( x f - x i ) (15 m /s) 2 = (3.0 m /s) 2 + 2(9.8 m /s 2 )sin 10( x1 - 0 m ) x1 =...

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Model: 2.24. We will represent the skier as a particle. Visualize: Note that the skier's motion on the horizontal, frictionless snow is not of any interest to us. Also note that the acceleration parallel to the incline is equal to g sin10. Solve: Using the following constant-acceleration equations, vf2x kinematic = vi2x + 2 a x ( x f - x i ) (15 m /s) 2 = (3.0 m /s) 2 + 2(9.8 m /s 2 )sin 10( x1 - 0 m ) x1 = 63.5 m vfx = vix + a x (t f - t i ) (15 m /s) = (3.0 m /s) + (9.8 m /s 2 )(sin 10)t t = 7.05 s Assess: A time of 7.05 s to cover 63.5 m is a reasonable value.
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