College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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show work along with a free body diagram

## Problem Statement The figure depicts an initially stationary block of mass \( m \) on a floor. A force with a magnitude \( F = 0.540mg \) is applied at an upward angle \( \theta = 21^\circ \). ### Question (a) **Objective:** Determine the magnitude of the acceleration of the block across the floor, given the static and kinetic friction coefficients are \( \mu_s = 0.595 \) and \( \mu_k = 0.510 \). **Answer:** 0.91 m/s\(^2\) ### Question (b) **Objective:** Determine the magnitude of the acceleration of the block across the floor, given the static and kinetic friction coefficients are \( \mu_s = 0.395 \) and \( \mu_k = 0.305 \). **Answer:** 2.53 m/s\(^2\) ## Figure Explanation The diagram shows: - A block on a surface, aligned with a coordinate axis system (x-y plane). - A force \( \vec{F} \) applied at angle \( \theta = 21^\circ \), directed upwards and to the right. - The direction of the force is indicated by an arrow originating from the center of the block. The problem involves calculating the block's acceleration using the given friction coefficients and the applied force considering these forces.
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Transcribed Image Text:## Problem Statement The figure depicts an initially stationary block of mass \( m \) on a floor. A force with a magnitude \( F = 0.540mg \) is applied at an upward angle \( \theta = 21^\circ \). ### Question (a) **Objective:** Determine the magnitude of the acceleration of the block across the floor, given the static and kinetic friction coefficients are \( \mu_s = 0.595 \) and \( \mu_k = 0.510 \). **Answer:** 0.91 m/s\(^2\) ### Question (b) **Objective:** Determine the magnitude of the acceleration of the block across the floor, given the static and kinetic friction coefficients are \( \mu_s = 0.395 \) and \( \mu_k = 0.305 \). **Answer:** 2.53 m/s\(^2\) ## Figure Explanation The diagram shows: - A block on a surface, aligned with a coordinate axis system (x-y plane). - A force \( \vec{F} \) applied at angle \( \theta = 21^\circ \), directed upwards and to the right. - The direction of the force is indicated by an arrow originating from the center of the block. The problem involves calculating the block's acceleration using the given friction coefficients and the applied force considering these forces.
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