The system starts at rest. m1 = 2 kg m2 = 6 kg the angle is 20 degrees and uk=0.15. %3D What is the velocity of the system after m2 moves a distance of 10 meters?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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 Statement:**

The system starts at rest. \( m_1 = 2 \, \text{kg} \), \( m_2 = 6 \, \text{kg} \), the angle is 20 degrees, and \( \mu_k = 0.15 \).

What is the velocity of the system after \( m_2 \) moves a distance of 10 meters?

**Diagram Explanation:**

The diagram shows a system with:
- A block of mass \( m_1 \) on an inclined plane making an angle \( \theta \) with the horizontal.
- The gravitational force acting on \( m_1 \) is \( m_1g \), where \( g \) is the acceleration due to gravity.
- Normal force \( N \) is perpendicular to the incline.
- Frictional force \( \mu N \) acts up the incline.
- A pulley at the top of the incline connects \( m_1 \) to another mass, \( m_2 \), hanging vertically.
- The gravitational force acting on \( m_2 \) is \( m_2g \).

The question involves determining the velocity of the system when \( m_2 \) has descended 10 meters.
Transcribed Image Text:**Problem Statement:** The system starts at rest. \( m_1 = 2 \, \text{kg} \), \( m_2 = 6 \, \text{kg} \), the angle is 20 degrees, and \( \mu_k = 0.15 \). What is the velocity of the system after \( m_2 \) moves a distance of 10 meters? **Diagram Explanation:** The diagram shows a system with: - A block of mass \( m_1 \) on an inclined plane making an angle \( \theta \) with the horizontal. - The gravitational force acting on \( m_1 \) is \( m_1g \), where \( g \) is the acceleration due to gravity. - Normal force \( N \) is perpendicular to the incline. - Frictional force \( \mu N \) acts up the incline. - A pulley at the top of the incline connects \( m_1 \) to another mass, \( m_2 \), hanging vertically. - The gravitational force acting on \( m_2 \) is \( m_2g \). The question involves determining the velocity of the system when \( m_2 \) has descended 10 meters.
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