A block of mass m = 2.00 kg situated on a rough incline at an angle of 8 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 10.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k = 100 N/m www 8 m

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

A block of mass \( m = 2.00 \, \text{kg} \) situated on a rough incline at an angle of \( \theta = 37.0^\circ \) is connected to a spring with negligible mass and a spring constant of 100 N/m (see the figure below). The pulley is frictionless. The block is released from rest when the spring is unstretched. The block moves 10.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between the block and incline.

**Figure Explanation:**

The diagram shows:

- A block labeled \( m \) placed on an incline, which makes an angle \( \theta \) with the horizontal. 
- The incline is rough, indicating that there is friction.
- A spring is attached to the block, with a spring constant \( k = 100 \, \text{N/m} \).
- The spring is initially unstretched, and the block is released to move down the incline.
- The block moves down the incline for a distance of 10.0 cm before coming to rest.
- A pulley is present, through which the spring is connected to the block, indicating that the pulley is frictionless. 

This setup is used to determine the coefficient of kinetic friction between the block and the incline as it moves down the slope.
Transcribed Image Text:**Problem Statement:** A block of mass \( m = 2.00 \, \text{kg} \) situated on a rough incline at an angle of \( \theta = 37.0^\circ \) is connected to a spring with negligible mass and a spring constant of 100 N/m (see the figure below). The pulley is frictionless. The block is released from rest when the spring is unstretched. The block moves 10.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between the block and incline. **Figure Explanation:** The diagram shows: - A block labeled \( m \) placed on an incline, which makes an angle \( \theta \) with the horizontal. - The incline is rough, indicating that there is friction. - A spring is attached to the block, with a spring constant \( k = 100 \, \text{N/m} \). - The spring is initially unstretched, and the block is released to move down the incline. - The block moves down the incline for a distance of 10.0 cm before coming to rest. - A pulley is present, through which the spring is connected to the block, indicating that the pulley is frictionless. This setup is used to determine the coefficient of kinetic friction between the block and the incline as it moves down the slope.
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