---
title: "A block of mass \\(m_1 = 2.0\\text{ kg}\\) rests on top of a second block of mass \\(m_2 = 3.0\\text{ kg}\\), which sits on a rough horizontal floor. The coefficient of static friction between the two blocks is \\(\\mu_s = 0.50\\), and the coefficient of kinetic friction between the bottom block and the floor is \\(\\mu_k = 0.20\\). A horizontal pulling force of magnitude \\(F\\) is applied to the bottom block. What is the maximum value of \\(F\\) for which the upper block does not slip relative to the bottom block?"
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url: "https://nerd-notes.com/ubq/120585/"
date_modified: "2026-08-23T04:41:43+00:00"
---

# A block of mass \(m_1 = 2.0\text{ kg}\) rests on top of a second block of mass \(m_2 = 3.0\text{ kg}\), which sits on a rough horizontal floor. The coefficient of static friction between the two blocks is \(\mu_s = 0.50\), and the coefficient of kinetic friction between the bottom block and the floor is \(\mu_k = 0.20\). A horizontal pulling force of magnitude \(F\) is applied to the bottom block. What is the maximum value of \(F\) for which the upper block does not slip relative to the bottom block?

A block of mass \(m_1 = 2.0\text{ kg}\) rests on top of a second block of mass \(m_2 = 3.0\text{ kg}\), which sits on a rough horizontal floor. The coefficient of static friction between the two blocks is \(\mu_s = 0.50\), and the coefficient of kinetic friction between the bottom block and the floor is \(\mu_k = 0.20\). A horizontal pulling force of magnitude \(F\) is applied to the bottom block. What is the maximum value of \(F\) for which the upper block does not slip relative to the bottom block?

![A schematic diagram showing two stacked rectangular blocks on a horizontal line representing a rough floor. The upper rectangular block is labeled \(m_1\) and sits centered atop the wider lower rectangular block labeled \(m_2\). A single horizontal arrow labeled \(F\) originates at the right vertical edge of block \(m_2\) and points horizontally to the right. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460102-whl7Ef.jpg)

- **A.** \(19.6\text{ N}\)
- **B.** \(24.5\text{ N}\)
- **C.** \(34.3\text{ N}\)
- **D.** \(44.1\text{ N}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120585/*