A 2.6 kg block is attached to a horizontal rope that exerts a variable force Fx (205x) N, where x is in m. The coefficient of kinetic friction between the block and the floor is 0.25. Initially the block is at rest at x = 0 m. Part A What is the block's speed when it has been pulled to x = 4.2 m? Express your answer with the appropriate units. V = μA Value Submit Request Answer Units ?

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

A 2.6 kg block is attached to a horizontal rope that exerts a variable force \( F_x = (20 - 5x) \, \text{N} \), where \( x \) is in meters. The coefficient of kinetic friction between the block and the floor is 0.25. Initially, the block is at rest at \( x = 0 \, \text{m} \).

### Question

#### Part A

What is the block's speed when it has been pulled to \( x = 4.2 \, \text{m} \)?

**Express your answer with the appropriate units.**

- **Input Box:** 
  - Required format: \( v = \text{Value} \) and specify units.
- Buttons included for various input functions, symbols, and unit selection.

- **Submit Button** for submitting your answer.
- **Request Answer Link** for additional help or hint.

### Explanation

The question involves calculating the speed of a block being pulled by a rope with a variable force while accounting for kinetic friction. Initially given the position and initial state, you need to determine the speed at a specific displacement.
Transcribed Image Text:### Problem Statement A 2.6 kg block is attached to a horizontal rope that exerts a variable force \( F_x = (20 - 5x) \, \text{N} \), where \( x \) is in meters. The coefficient of kinetic friction between the block and the floor is 0.25. Initially, the block is at rest at \( x = 0 \, \text{m} \). ### Question #### Part A What is the block's speed when it has been pulled to \( x = 4.2 \, \text{m} \)? **Express your answer with the appropriate units.** - **Input Box:** - Required format: \( v = \text{Value} \) and specify units. - Buttons included for various input functions, symbols, and unit selection. - **Submit Button** for submitting your answer. - **Request Answer Link** for additional help or hint. ### Explanation The question involves calculating the speed of a block being pulled by a rope with a variable force while accounting for kinetic friction. Initially given the position and initial state, you need to determine the speed at a specific displacement.
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