The diagram below is a top-down view of two children pulling a 13.1-kg sled along the snow. The first child exerts a force of F,I = 14.0 N at an angle 0, = 45.0° counterclockwise from the positive x direction. The second child exerts a force of |F, - 6.00 N at an angle 0, = 30.0° clockwise from the positive x direction. We use a right-handed coordinate system with the +x axis and +z axis in the horizontal plane, and the +y axis out of the page. 02
The diagram below is a top-down view of two children pulling a 13.1-kg sled along the snow. The first child exerts a force of F,I = 14.0 N at an angle 0, = 45.0° counterclockwise from the positive x direction. The second child exerts a force of |F, - 6.00 N at an angle 0, = 30.0° clockwise from the positive x direction. We use a right-handed coordinate system with the +x axis and +z axis in the horizontal plane, and the +y axis out of the page. 02
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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![**Educational Exercise on Forces and Friction**
**Exercise 5:**
The diagram illustrates a top-down view of two children pulling a 13.1 kg sled along the snow. The forces applied by the children are represented as vectors in a coordinate system where:
- The **first child** exerts a force \( |\mathbf{F}_1| = 14.0 \, \text{N} \) at an angle \( \theta_1 = 45.0^\circ \) counterclockwise from the positive \( x \)-axis.
- The **second child** exerts a force \( |\mathbf{F}_2| = 6.00 \, \text{N} \) at an angle \( \theta_2 = 30.0^\circ \) clockwise from the positive \( x \)-axis.
The diagram uses a right-handed coordinate system with the \( +x \)-axis and \( +z \)-axis in the horizontal plane and the \( +y \)-axis out of the page.
**Diagram Explanation:**
- The **vector \(\mathbf{F}_1\)** is shown angled counterclockwise from the \( x \)-axis.
- The **vector \(\mathbf{F}_2\)** is shown angled clockwise from the \( x \)-axis.
- Both vectors lie in the horizontal plane.
**Tasks:**
(a) Determine the friction force acting on the sled if it is moving with constant velocity. Provide your answer in vector form.
**Friction Force \(\mathbf{f} = [ \, \, ] \, \text{N}**
(b) Calculate the coefficient of kinetic friction between the sled and the ground.
**Coefficient of Kinetic Friction: [ \, \, ]**
Please attempt these exercises and provide your answers in the designated spaces above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12ad665c-6b08-4501-b7d7-d0ed5893f15b%2F53e2db0c-f1c3-43ee-b6d2-1bfab472a151%2F8z44gjg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Exercise on Forces and Friction**
**Exercise 5:**
The diagram illustrates a top-down view of two children pulling a 13.1 kg sled along the snow. The forces applied by the children are represented as vectors in a coordinate system where:
- The **first child** exerts a force \( |\mathbf{F}_1| = 14.0 \, \text{N} \) at an angle \( \theta_1 = 45.0^\circ \) counterclockwise from the positive \( x \)-axis.
- The **second child** exerts a force \( |\mathbf{F}_2| = 6.00 \, \text{N} \) at an angle \( \theta_2 = 30.0^\circ \) clockwise from the positive \( x \)-axis.
The diagram uses a right-handed coordinate system with the \( +x \)-axis and \( +z \)-axis in the horizontal plane and the \( +y \)-axis out of the page.
**Diagram Explanation:**
- The **vector \(\mathbf{F}_1\)** is shown angled counterclockwise from the \( x \)-axis.
- The **vector \(\mathbf{F}_2\)** is shown angled clockwise from the \( x \)-axis.
- Both vectors lie in the horizontal plane.
**Tasks:**
(a) Determine the friction force acting on the sled if it is moving with constant velocity. Provide your answer in vector form.
**Friction Force \(\mathbf{f} = [ \, \, ] \, \text{N}**
(b) Calculate the coefficient of kinetic friction between the sled and the ground.
**Coefficient of Kinetic Friction: [ \, \, ]**
Please attempt these exercises and provide your answers in the designated spaces above.
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