The century-old ascensores in Valparaiso, Chile, are small cable cars that go up and down the steep hillsides. As (Figure 1) shows, one car ascends as the other descends. The cars use a two-cable arrangement to compensate for friction; one cable passing around a large pulley connects the cars, the second is pulled by a small motor. Suppose the mass of each car (with passengers) is 1500 kg, the coefficient of rolling friction is 0.030, and the cars move at constant speed. What is the tension in the connecting cable? Express your answer with the appropriate units. Tin the connecting cable = 8100 N Submit Previous Answers v Correct Figure 1 of 1 > Part B Motor What is the tension in the cable to the motor? Express your answer with the appropriate units. Pulley HA Tin the cable to the motor = 252.9 Submit Previous Answers Request Answer 35° X Incorrect; Try Again; 2 attempts remaining

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What is the tension to the cable in the motor? 

### Historical Cable Cars in Valparaíso, Chile

The century-old **ascensores** in Valparaíso, Chile, are small cable cars designed to navigate the steep hillsides of the city. These ascensores operate using a two-cable system: one cable connects the two cars and passes around a large pulley, while the other cable is controlled by a small motor. As one car ascends, the other descends, creating a balanced system. 

- **Mass of Each Car:** 1500 kg (including passengers)
- **Coefficient of Rolling Friction:** 0.030
- **Operation:** Cars move at constant speed.

### Diagram Explanation

In **Figure 1**, a side view layout of the cable system is presented:

- **Incline Angle:** 35 degrees
- **Components:** 
  - Two opposite-standing cars on tracks
  - A connecting cable running over a pulley system
  - Motor that drives the system

### Physics Questions and Solutions

**Part A: Tension in the Connecting Cable**

- **Question:** What is the tension in the connecting cable?
- **Answer:** \( T_{\text{in the connecting cable}} = 8100 \, \text{N} \)
- **Status:** Correct

**Part B: Tension in the Cable to the Motor**

- **Question:** What is the tension in the cable to the motor?
- **Answer Input:** \( T_{\text{in the cable to the motor}} = 252.9 \, \text{N} \)
- **Status:** Incorrect; Try Again; 2 attempts remaining

This exercise involves calculating tensions in a dual cable system using principles of physics, considering factors like the mass of the cars, friction, and the incline angle.
Transcribed Image Text:### Historical Cable Cars in Valparaíso, Chile The century-old **ascensores** in Valparaíso, Chile, are small cable cars designed to navigate the steep hillsides of the city. These ascensores operate using a two-cable system: one cable connects the two cars and passes around a large pulley, while the other cable is controlled by a small motor. As one car ascends, the other descends, creating a balanced system. - **Mass of Each Car:** 1500 kg (including passengers) - **Coefficient of Rolling Friction:** 0.030 - **Operation:** Cars move at constant speed. ### Diagram Explanation In **Figure 1**, a side view layout of the cable system is presented: - **Incline Angle:** 35 degrees - **Components:** - Two opposite-standing cars on tracks - A connecting cable running over a pulley system - Motor that drives the system ### Physics Questions and Solutions **Part A: Tension in the Connecting Cable** - **Question:** What is the tension in the connecting cable? - **Answer:** \( T_{\text{in the connecting cable}} = 8100 \, \text{N} \) - **Status:** Correct **Part B: Tension in the Cable to the Motor** - **Question:** What is the tension in the cable to the motor? - **Answer Input:** \( T_{\text{in the cable to the motor}} = 252.9 \, \text{N} \) - **Status:** Incorrect; Try Again; 2 attempts remaining This exercise involves calculating tensions in a dual cable system using principles of physics, considering factors like the mass of the cars, friction, and the incline angle.
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