Calculating Coefficient of Friction for Olympic Skier

AI Thread Summary
To calculate the coefficient of friction for an Olympic skier sliding down a slope, the skier's initial speed is 20.0 m/s, and they slide 145 m before stopping. The acceleration due to friction is determined to be -1.38 m/s², which must be balanced against the gravitational acceleration acting down the slope. The normal force is influenced by the angle of the slope, which is 30.0 degrees. By applying the equation for the force of friction, the coefficient of friction can be derived. The analysis highlights the interplay between gravitational and frictional forces in the skier's deceleration.
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Homework Statement


an Olympic skier moving at 20.0 m/s down a 30.0 degree slope encounters a region of wet snow and slides 145 m before coming to a halt. what is the coefficient of friction between the skis and the snow?

Homework Equations


Force of friction = coefficient of friction x Normal Force

The Attempt at a Solution


d = 145 m
vi = 20.0 m/s
vf = 0 m/s
a = -1.38 m/s2
t = 14.5 s
 
Last edited:
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Now you found the acceleration that brought the skier to a stop you must remember that there is also an acceleration due to gravity acting along the slope as well. That means the friction force causes an acceleration that retards the skier and counteracts the acceleration due to gravity.
 
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