25. The figure is a bird's-eye view of particles on a string moving in horizontal circles on a table top. All are moving at the same speed. Rank in order, from largest to smallest, the tensions T to T4. Rank from larges to smallest. To rank items as equivalent, overlap them.

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Chapter1: Units, Trigonometry. And Vectors
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**25.** The figure is a bird's-eye view of particles on a string moving in horizontal circles on a table in uniform circular motion. Rank the tensions 1 to 4 in order, from largest to smallest. To rank items as equivalent, overlap them.

[Diagram Explanation: Four circles are drawn with particles labeled 1 through 4 on strings of various lengths. Tensions must be compared based on the circle and string dimensions.]

**26.** In short-track speed skating, the track has straight sections and semicircular ends. A skater of mass 69 kg rounds a turn of radius 10 m 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," each with different radii of curvature. A car accelerates through each dip at different speeds given in the table. Rank the magnitude of the force of the track on the car at the bottom of each dip. Rank from largest to smallest. To rank items as equivalent, overlap them.

- v = 4 m/s, R = 15 m
- v = 8 m/s, R = 15 m
- v = 12 m/s, R = 15 m
- v = 16 m/s, R = 15 m
- v = 16 m/s, R = 30 m
- v = 16 m/s, R = 60 m

[Additional Diagram Explanation: There is an illustration of a roller coaster car moving through a semicircular dip, labeled with 'R' for the radius. An image of two speed skaters is shown, likely related to the context of problem 26.]

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This transcription is designed for an educational website, providing clear problem statements and diagram descriptions for learning purposes.
Transcribed Image Text:**Educational Content Transcription:** --- **25.** The figure is a bird's-eye view of particles on a string moving in horizontal circles on a table in uniform circular motion. Rank the tensions 1 to 4 in order, from largest to smallest. To rank items as equivalent, overlap them. [Diagram Explanation: Four circles are drawn with particles labeled 1 through 4 on strings of various lengths. Tensions must be compared based on the circle and string dimensions.] **26.** In short-track speed skating, the track has straight sections and semicircular ends. A skater of mass 69 kg rounds a turn of radius 10 m 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," each with different radii of curvature. A car accelerates through each dip at different speeds given in the table. Rank the magnitude of the force of the track on the car at the bottom of each dip. Rank from largest to smallest. To rank items as equivalent, overlap them. - v = 4 m/s, R = 15 m - v = 8 m/s, R = 15 m - v = 12 m/s, R = 15 m - v = 16 m/s, R = 15 m - v = 16 m/s, R = 30 m - v = 16 m/s, R = 60 m [Additional Diagram Explanation: There is an illustration of a roller coaster car moving through a semicircular dip, labeled with 'R' for the radius. An image of two speed skaters is shown, likely related to the context of problem 26.] --- This transcription is designed for an educational website, providing clear problem statements and diagram descriptions for learning purposes.
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