5. Two figure skaters are practicing on a frozen lake when they collide into each other with velocities directed as in the diagram. The mass of the faster skater is 60 kg. The two skaters grab onto each other after they collide and slide 15 meters in the +y direction before coming to a stop. a. What is the mass of the other skater? Hint: use the fact that the final velocity has no x component.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 5:**

Two figure skaters are practicing on a frozen lake when they collide into each other with velocities directed as in the diagram. The mass of the faster skater is 60 kg. The two skaters grab onto each other after they collide and slide 15 meters in the +y direction before coming to a stop.

a. What is the mass of the other skater? *Hint: use the fact that the final velocity has no x component.*

b. What is the coefficient of kinetic friction between the skaters and the ice?

**Diagram Explanation:**

- The diagram provides a "view from above" perspective.
- There are two skaters depicted:

   1. A skater with unknown mass (denoted as "m") moving to the right with a velocity of 3 m/s.
   2. A skater with a mass of 60 kg moving at an angle of 30 degrees to the horizontal with a velocity of 4 m/s. The velocity can be broken down into components:
      - Horizontal component (x-direction)
      - Vertical component (y-direction)
   
- After colliding (as indicated by a collision symbol), both skaters slide in the positive y-direction only, indicating that the final velocity in the x-direction is zero. 

- The coordinate system is provided, with +y pointing upwards and +x to the right.
Transcribed Image Text:**Problem 5:** Two figure skaters are practicing on a frozen lake when they collide into each other with velocities directed as in the diagram. The mass of the faster skater is 60 kg. The two skaters grab onto each other after they collide and slide 15 meters in the +y direction before coming to a stop. a. What is the mass of the other skater? *Hint: use the fact that the final velocity has no x component.* b. What is the coefficient of kinetic friction between the skaters and the ice? **Diagram Explanation:** - The diagram provides a "view from above" perspective. - There are two skaters depicted: 1. A skater with unknown mass (denoted as "m") moving to the right with a velocity of 3 m/s. 2. A skater with a mass of 60 kg moving at an angle of 30 degrees to the horizontal with a velocity of 4 m/s. The velocity can be broken down into components: - Horizontal component (x-direction) - Vertical component (y-direction) - After colliding (as indicated by a collision symbol), both skaters slide in the positive y-direction only, indicating that the final velocity in the x-direction is zero. - The coordinate system is provided, with +y pointing upwards and +x to the right.
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