**Title: Calculating the Wagon's Acceleration****Problem Statement:**A child is pulling a red wagon full of toys (total mass is 8.35 kg). His pull is 34 N in magnitude and at 23 degrees above the horizontal. He pulls his wagon at a constant acceleration (which could be positive or negative). The coefficient of friction between the wagon's wheels and the ground is 0.33. What is the wagon's acceleration?**Given Data:**- Total mass of the wagon: 8.35 kg- Force exerted by the child: 34 N- Angle of the pull: 23 degrees above the horizontal- Coefficient of friction (μ): 0.33**Objective:**Determine the acceleration of the wagon.**Explanation of Solution:**1. **Resolve the Pulling Force:** - The pulling force has two components: - Horizontal component, \( F_{\text{horizontal}} = 34 \cos(23^\circ) \) - Vertical component, \( F_{\text{vertical}} = 34 \sin(23^\circ) \)2. **Calculate the Normal Force:** - The normal force \( F_N \) can be determined by considering the gravitational force and the vertical component of the pulling force. - The gravitational force is \( F_g = mg = 8.35 \times 9.8 \, \text{N} \) - Thus, \( F_N = F_g - F_{\text{vertical}} \)3. **Calculate the Frictional Force:** - The frictional force \( F_f \) is given by \( F_f = \mu F_N \)4. **Determine the Net Force:** - The net force acting on the wagon in the horizontal direction, \( F_{\text{net}} \), is given by \( F_{\text{net}} = F_{\text{horizontal}} - F_f \)5. **Calculate the Acceleration:** - Using Newton's second law, the acceleration \( a \) of the wagon can be determined by \( F_{\text{net}} = ma \) - Solve for \( a \) to find the wagon's acceleration.**Note:**When performing the calculations, ensure to keep the units consistent and use trigonometric values accurately. The final formula for acceleration (\( a \)) can be

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Description: **Title: Calculating the Wagon's Acceleration****Problem Statement:**A child is pulling a red wagon full of toys (total mass is 8.35 kg). His pull is 34 N in magnitude and at 23 degrees above the horizontal. He pulls his wagon at a constant accelera

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A child is pulling a red wagon full of toys (total mass is 8.35 kg). His pull is 34 N in magnitude and at 23 degrees above the horizontal. He pulls his wagon at a constant acceleration (could be positive or negative). The coefficient of friction between the wagon's wheels and the ground is 0.33. What is the wagon's acceleration?

A child is pulling a red wagon full of toys (total mass is 8.35 kg). His pull is 34 N in magnitude and at 23 degrees above the horizontal. He pulls his wagon at a constant acceleration (could be positive or negative). The coefficient of friction between the wagon's wheels and the ground is 0.33. What is the wagon's acceleration?

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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