A block of mass 1.33kg is being pulled by a string parallel to the contact surface with a slowly increasing force. If the block remains stationary until the force reaches 14.3N, what is the static friction coefficient?
A block of mass 1.33kg is being pulled by a string parallel to the contact surface with a slowly increasing force. If the block remains stationary until the force reaches 14.3N, what is the static friction coefficient?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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:**
A block of mass 1.33 kg is being pulled by a string parallel to the contact surface with a slowly increasing force. If the block remains stationary until the force reaches 14.3 N, what is the static friction coefficient?
**Explanation:**
This scenario involves understanding the concept of static friction between the block and the surface it is on. The static friction coefficient (\(\mu_s\)) can be determined using the formula:
\[ F_{\text{static}} = \mu_s \times N \]
Where:
- \( F_{\text{static}} \) is the maximum static frictional force (14.3 N in this case).
- \( \mu_s \) is the static friction coefficient.
- \( N \) is the normal force (equal to the gravitational force on the block, i.e., mass \(\times\) gravity, \(1.33 \, \text{kg} \times 9.8 \, \text{m/s}^2\)).
The calculation involves balancing forces to find \(\mu_s\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f0a09bd-ef71-43b6-abcd-653755da1dfb%2F708a8ef8-551b-473b-ab92-ad14b2e50b27%2Fq5suuwf_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A block of mass 1.33 kg is being pulled by a string parallel to the contact surface with a slowly increasing force. If the block remains stationary until the force reaches 14.3 N, what is the static friction coefficient?
**Explanation:**
This scenario involves understanding the concept of static friction between the block and the surface it is on. The static friction coefficient (\(\mu_s\)) can be determined using the formula:
\[ F_{\text{static}} = \mu_s \times N \]
Where:
- \( F_{\text{static}} \) is the maximum static frictional force (14.3 N in this case).
- \( \mu_s \) is the static friction coefficient.
- \( N \) is the normal force (equal to the gravitational force on the block, i.e., mass \(\times\) gravity, \(1.33 \, \text{kg} \times 9.8 \, \text{m/s}^2\)).
The calculation involves balancing forces to find \(\mu_s\).
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