---
title: "A \\( 10 \\) \\( \\text{lb} \\) force is pushing the \\( 40 \\) \\( \\text{lb} \\) block shown. The incline angle of the plane is \\( \\alpha = 40^{\\circ} \\). The coefficient of static friction between the block and the incline is \\( \\mu_s = 0.75 \\) and the coefficient of kinetic friction is \\( \\mu_k = 0.65 \\). Will the block slide on the plane? If it does, will it slide up or down the plane? What is the friction force between the block and the plane?"
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url: "https://nerd-notes.com/ubq/101144/"
date_modified: "2025-09-17T07:31:17+00:00"
---

# A \( 10 \) \( \text{lb} \) force is pushing the \( 40 \) \( \text{lb} \) block shown. The incline angle of the plane is \( \alpha = 40^{\circ} \). The coefficient of static friction between the block and the incline is \( \mu_s = 0.75 \) and the coefficient of kinetic friction is \( \mu_k = 0.65 \). Will the block slide on the plane? If it does, will it slide up or down the plane? What is the friction force between the block and the plane?

A \( 15 \) \( \text{N} \) force is pushing a \( 40 \) \( \text{N} \) block down a incline. The angle of the inline is \( \alpha = 40^{\circ} \). The coefficient of static friction between the block and the incline is \( \mu_s = 0.75 \) and the coefficient of kinetic friction is \( \mu_k = 0.65 \).

**Part a)** Determine whether the block will slide on the plane. *(3 points)*

**Part b)** If the block slides, indicate whether it will slide up or down the plane. *(3 points)*

**Part c)** Calculate the magnitude of the friction force between the block and the plane. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/101144/*