1. The two blocks (m₁ = 18 kg and m₂ = 92 kg) in the diagram below are not attached to each other. The surface where they are in contact is rough, but the surface underneath the larger block is so smooth you can treat it like it is frictionless. If the minimum horizontal force (F) required to keep the smaller block from slipping down the larger block is 420 N, what is the coefficient of static friction at the surfaces where the blocks touch? F Ms = ? m₁ frictionless m₂

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

1. The two blocks (\(m_1 = 18 \, \text{kg}\) and \(m_2 = 92 \, \text{kg}\)) in the diagram below are not attached to each other. The surface where they are in contact is rough, but the surface underneath the larger block is so smooth you can treat it like it is frictionless. If the minimum horizontal force (\(F\)) required to keep the smaller block from slipping down the larger block is 420 N, what is the coefficient of static friction at the surfaces where the blocks touch?

**Diagram Description:**

- The diagram shows two blocks, \(m_1\) and \(m_2\).
- \(m_1\), the smaller block (18 kg), is in contact with \(m_2\), the larger block (92 kg). 
- There is an arrow labeled \(F\) pointing to the left side of the \(m_1\) block, indicating the direction of the horizontal force.
- The contact surface between \(m_1\) and \(m_2\) is marked as rough.
- Below the larger block (\(m_2\)), the surface is labeled as frictionless.
- There is a question mark near the contact surface indicating the unknown coefficient of static friction (\(\mu_s\)).
Transcribed Image Text:**Problem Statement:** 1. The two blocks (\(m_1 = 18 \, \text{kg}\) and \(m_2 = 92 \, \text{kg}\)) in the diagram below are not attached to each other. The surface where they are in contact is rough, but the surface underneath the larger block is so smooth you can treat it like it is frictionless. If the minimum horizontal force (\(F\)) required to keep the smaller block from slipping down the larger block is 420 N, what is the coefficient of static friction at the surfaces where the blocks touch? **Diagram Description:** - The diagram shows two blocks, \(m_1\) and \(m_2\). - \(m_1\), the smaller block (18 kg), is in contact with \(m_2\), the larger block (92 kg). - There is an arrow labeled \(F\) pointing to the left side of the \(m_1\) block, indicating the direction of the horizontal force. - The contact surface between \(m_1\) and \(m_2\) is marked as rough. - Below the larger block (\(m_2\)), the surface is labeled as frictionless. - There is a question mark near the contact surface indicating the unknown coefficient of static friction (\(\mu_s\)).
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