(Figure 1) is a bird's-eye view of particles moving in horizontal circles on a tabletop. All are moving at the same speed. Part A Rank in order, from largest to smallest, the tensions T₁ to Ta. Rank from largest to smallest. To rank items as equivalent, overlap them. T. T Tc Ta Reset Help

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**Educational Analysis of Circular Motion**

**Overview**

The provided diagram (Figure 1) presents a bird's-eye view of four particles (labeled a, b, c, and d) moving in horizontal circles on a tabletop. Each particle is moving at the same speed. The purpose of the accompanying task is to rank the tensions (Ta, Tb, Tc, Td) from largest to smallest.

**Detail Description**

- **Diagram Explanation**
  - The diagram presents four different scenarios (a, b, c, and d) where particles, each with varying masses, revolve around a center point.
  - Particle masses:
    - \( a \): mass \( m \)
    - \( b \): mass \( 2m \)
    - \( c \): mass \( m \)
    - \( d \): mass \( 2m \)
  - Each diagram features an arrow labeled \( v \) to indicate the direction of velocity.

- **Objective**
  - The task is to analyze and rank the provided tensions \((T_a, T_b, T_c, T_d)\) from largest to smallest.
  - For accurate ranking, consider the relationship between mass, tension, and circular motion. Remember that tension in circular motion is affected by the mass and the radius of the circle.

- **Interactive Component**
  - The interface allows users to drag and drop the tension labels to rank them from largest to smallest in the corresponding boxes.

**Instructions**

1. **Analyze Each Diagram:**
   - Observe the mass and radius for each scenario.
   - Consider how tension relates to the centripetal force required to keep a particle moving in a circle.

2. **Rank the Tensions:**
   - Based on the given particle masses and their circular paths, drag the tension labels \((T_a, T_b, T_c, T_d)\) into the ranking boxes from “Largest” to “Smallest”.

3. **Submit Your Answer:**
   - Once you have ranked the tensions, click the “Submit” button to check your understanding of the concepts.

By following these instructions, students will gain insights into the mechanics of circular motion and the factors affecting tension in such systems.
Transcribed Image Text:**Educational Analysis of Circular Motion** **Overview** The provided diagram (Figure 1) presents a bird's-eye view of four particles (labeled a, b, c, and d) moving in horizontal circles on a tabletop. Each particle is moving at the same speed. The purpose of the accompanying task is to rank the tensions (Ta, Tb, Tc, Td) from largest to smallest. **Detail Description** - **Diagram Explanation** - The diagram presents four different scenarios (a, b, c, and d) where particles, each with varying masses, revolve around a center point. - Particle masses: - \( a \): mass \( m \) - \( b \): mass \( 2m \) - \( c \): mass \( m \) - \( d \): mass \( 2m \) - Each diagram features an arrow labeled \( v \) to indicate the direction of velocity. - **Objective** - The task is to analyze and rank the provided tensions \((T_a, T_b, T_c, T_d)\) from largest to smallest. - For accurate ranking, consider the relationship between mass, tension, and circular motion. Remember that tension in circular motion is affected by the mass and the radius of the circle. - **Interactive Component** - The interface allows users to drag and drop the tension labels to rank them from largest to smallest in the corresponding boxes. **Instructions** 1. **Analyze Each Diagram:** - Observe the mass and radius for each scenario. - Consider how tension relates to the centripetal force required to keep a particle moving in a circle. 2. **Rank the Tensions:** - Based on the given particle masses and their circular paths, drag the tension labels \((T_a, T_b, T_c, T_d)\) into the ranking boxes from “Largest” to “Smallest”. 3. **Submit Your Answer:** - Once you have ranked the tensions, click the “Submit” button to check your understanding of the concepts. By following these instructions, students will gain insights into the mechanics of circular motion and the factors affecting tension in such systems.
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