L Calculate all the following: The radius of the circle, R meters The tension in the rope, T Newtons The velocity of the mass, v m/s R m Here we have one sphere of mass m = 2.37 kg attached to the end of a rope of length L = 0.99 meters. At the time shown, the person is swinging the mass at high speed so that the angle = 80.6 degrees.

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Chapter1: Units, Trigonometry. And Vectors
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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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**Boleadora Physics Demonstration**

**Introduction:**

The image showcases a traditional tool known as a boleadora, which consists of spheres attached to the ends of ropes. Historically used by South American gauchos, the diagram explains a physics scenario in which a person swings a single sphere of mass \( m = 2.37 \, \text{kg} \) at the end of a rope.

**Parameters:**

- **Rope Length (\( L \)):** 0.99 meters
- **Angle (\( \theta \)):** 80.6 degrees from the vertical

**Objective:**

Calculate the following:

- **Radius of the Circle (\( R \))** - in meters
- **Tension in the Rope (\( T \))** - in Newtons
- **Velocity of the Mass (\( v \))** - in meters per second

**Diagram Explanation:**

1. **Historical Context:** 
   - The top left corner shows an illustration of a gaucho on horseback using boleadoras.
   - An ostrich is depicted, indicating common prey for traditional hunting.

2. **Physical Setup:**
   - The right diagram shows a person holding a rope, swinging a mass in a circular motion.
   - \( L \) (length of rope) forms an angle \( \theta \) with the vertical.
   - \( R \) is the horizontal component, forming the radius of the circular motion.

3. **Visual Representation:**
   - The bottom left corner features a photograph of boleadoras with spherical weights wrapped in fabric, emphasizing the traditional construction.

This setup provides a basis for understanding circular motion, tension, and dynamics. The exercise requires applying trigonometric functions to resolve forces and compute the desired physics quantities.
Transcribed Image Text:**Boleadora Physics Demonstration** **Introduction:** The image showcases a traditional tool known as a boleadora, which consists of spheres attached to the ends of ropes. Historically used by South American gauchos, the diagram explains a physics scenario in which a person swings a single sphere of mass \( m = 2.37 \, \text{kg} \) at the end of a rope. **Parameters:** - **Rope Length (\( L \)):** 0.99 meters - **Angle (\( \theta \)):** 80.6 degrees from the vertical **Objective:** Calculate the following: - **Radius of the Circle (\( R \))** - in meters - **Tension in the Rope (\( T \))** - in Newtons - **Velocity of the Mass (\( v \))** - in meters per second **Diagram Explanation:** 1. **Historical Context:** - The top left corner shows an illustration of a gaucho on horseback using boleadoras. - An ostrich is depicted, indicating common prey for traditional hunting. 2. **Physical Setup:** - The right diagram shows a person holding a rope, swinging a mass in a circular motion. - \( L \) (length of rope) forms an angle \( \theta \) with the vertical. - \( R \) is the horizontal component, forming the radius of the circular motion. 3. **Visual Representation:** - The bottom left corner features a photograph of boleadoras with spherical weights wrapped in fabric, emphasizing the traditional construction. This setup provides a basis for understanding circular motion, tension, and dynamics. The exercise requires applying trigonometric functions to resolve forces and compute the desired physics quantities.
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