show work along with a free body diagram ## Problem StatementThe 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 ExplanationThe 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.

Answered: Image /qna-images/answer/02e8b04c-0b5e-4929-8fd8-8be5ca2ac782.jpg

The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.540mg is then applied at upward angle 0 = 21°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are µs = 0.595 and uk = 0.510? 0.91 0.91 m/s2 (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.395 and uk = 0.305? 2.53 V 2.53 m/s2

The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.540mg is then applied at upward angle 0 = 21°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are µs = 0.595 and uk = 0.510? 0.91 0.91 m/s2 (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.395 and uk = 0.305? 2.53 V 2.53 m/s2

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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