The drawing shows a 29.2-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, F and are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.348. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate. (a) Number i (b) Number i Units Units Top view 55.0 54.0 N T₂ - N 0'88 ✪ ---+X

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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The drawing shows a 29.2-kg crate that is initially at rest. Note that the view is from above, looking down on the top of the crate. Two forces, \( \vec{F_1} \) and \( \vec{F_2} \), are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is \( \mu_k = 0.348 \). Determine the (a) magnitude and (b) direction (relative to the x-axis) of the acceleration of the crate.

### Diagram Explanation:
- The diagram is a top view of a crate with two forces acting on it.
- \( \vec{F_1} \) is an 88.0 N force directed at an angle.
- \( \vec{F_2} \) is a 54.0 N force directed at an angle of 55.0° relative to the positive x-axis.

### Questions:
(a) Find the magnitude of the acceleration.  
Number: [Input Box]  Units: [Dropdown]

(b) Find the direction of the acceleration relative to the x-axis.  
Number: [Input Box]  Units: [Dropdown]
Transcribed Image Text:The drawing shows a 29.2-kg crate that is initially at rest. Note that the view is from above, looking down on the top of the crate. Two forces, \( \vec{F_1} \) and \( \vec{F_2} \), are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is \( \mu_k = 0.348 \). Determine the (a) magnitude and (b) direction (relative to the x-axis) of the acceleration of the crate. ### Diagram Explanation: - The diagram is a top view of a crate with two forces acting on it. - \( \vec{F_1} \) is an 88.0 N force directed at an angle. - \( \vec{F_2} \) is a 54.0 N force directed at an angle of 55.0° relative to the positive x-axis. ### Questions: (a) Find the magnitude of the acceleration. Number: [Input Box] Units: [Dropdown] (b) Find the direction of the acceleration relative to the x-axis. Number: [Input Box] Units: [Dropdown]
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