In short-track speed skating, the track has straight sections and semicircles 16 m in diameter. Assume that a 69 kg skater goes around the turn at a constant 11 m/s. What is the horizontal force on the skater? What is the ratio of this force to the skater's weight?

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11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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26. In short-track speed skating, the track has straight sections and
semicircles 16 m in diameter. Assume that a 69 kg skater goes
around the turn at a constant 11 m/s.
What is the horizontal force on the skater?
What is the ratio of this force to the skater's weight?
32. A roller-coaster track has six semicircular "dips" with different
radii of curvature. The same roller-coaster cart rides through each
dip at a different speed. For the different values given for the
radius of curvature R and speed v, rank the magnitude of the force
of the roller-coaster track on the cart at the bottom of each dip.
Rank from largest to smallest. To rank items as equivalent, overlap
them.
v = 4
m/s
v = 4
レ=8
m/s
v = 12
v = 16
v = 16
m/s
R= 15
m/s
m/s
m/s
R= 15
R= 15
R= 30
R= 30
R= 60
m
m
Transcribed Image Text:26. In short-track speed skating, the track has straight sections and semicircles 16 m in diameter. Assume that a 69 kg skater goes around the turn at a constant 11 m/s. What is the horizontal force on the skater? What is the ratio of this force to the skater's weight? 32. A roller-coaster track has six semicircular "dips" with different radii of curvature. The same roller-coaster cart rides through each dip at a different speed. For the different values given for the radius of curvature R and speed v, rank the magnitude of the force of the roller-coaster track on the cart at the bottom of each dip. Rank from largest to smallest. To rank items as equivalent, overlap them. v = 4 m/s v = 4 レ=8 m/s v = 12 v = 16 v = 16 m/s R= 15 m/s m/s m/s R= 15 R= 15 R= 30 R= 30 R= 60 m m
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