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blem 5: A boy is pulli an angle of 30°.

blem 5: A boy is pulli an angle of 30°.

College Physics
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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**Problem 5:** A boy is pulling his sister in a wagon, as shown in the figure. He exerts a force of \( F = 45.5 \, \text{N} \) at an angle of \( 30^\circ \). *Diagram Description:* The diagram depicts a boy pulling a wagon containing his sister. The force \( F \) is shown as an arrow inclined at \( 30^\circ \) to the horizontal. The horizontal component of the force is indicated with a dashed line parallel to the ground. **Question:** How much work does the boy do pulling his sister, in joules, if he pulls her \( 29.5 \, \text{m} \)? \[ W = \] *Calculator Interface:* Below the question, there is a calculator interface for performing calculations. It includes functions like sine, cosine, tangent, and other trigonometric and hyperbolic functions, with input buttons for numbers and basic arithmetic operations. There is an option to select between Degrees and Radians. --- **Note:** To calculate the work \( W \), you can use the formula: \[ W = F \cdot d \cdot \cos(\theta) \] Where: \( F = 45.5 \, \text{N} \) is the force exerted, \( d = 29.5 \, \text{m} \) is the distance moved, \( \theta = 30^\circ \) is the angle of the force with respect to the horizontal. Make sure the calculator is set to Degrees for accurate calculation of the cosine function.
Transcribed Image Text:**Problem 5:** A boy is pulling his sister in a wagon, as shown in the figure. He exerts a force of \( F = 45.5 \, \text{N} \) at an angle of \( 30^\circ \). *Diagram Description:* The diagram depicts a boy pulling a wagon containing his sister. The force \( F \) is shown as an arrow inclined at \( 30^\circ \) to the horizontal. The horizontal component of the force is indicated with a dashed line parallel to the ground. **Question:** How much work does the boy do pulling his sister, in joules, if he pulls her \( 29.5 \, \text{m} \)? \[ W = \] *Calculator Interface:* Below the question, there is a calculator interface for performing calculations. It includes functions like sine, cosine, tangent, and other trigonometric and hyperbolic functions, with input buttons for numbers and basic arithmetic operations. There is an option to select between Degrees and Radians. --- **Note:** To calculate the work \( W \), you can use the formula: \[ W = F \cdot d \cdot \cos(\theta) \] Where: \( F = 45.5 \, \text{N} \) is the force exerted, \( d = 29.5 \, \text{m} \) is the distance moved, \( \theta = 30^\circ \) is the angle of the force with respect to the horizontal. Make sure the calculator is set to Degrees for accurate calculation of the cosine function.
Expert Solution
Step 1: Given and Required

Force exerted on the wagon,

                                    F space equals space 45.5 space N

Displacement travelled by wagon,

                                    d space equals space 29.5 space m

The angle between force and displacement,

                                     theta space equals space 30 degree

We need to find work done on wagon.

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