Question

A child pulls a friend in a little red wagon. If the child pulls with a force of $16 \mathrm{~N}$ for $12 \mathrm{~m}$ and the handle of the wagon is inclined at an angle of $25^{\circ}$ above the horizontal, how much work does the child do on the wagon?

Name: Problem 74, Chapter 6: Pearson Physics
Uploaded: 2023-02-19T21:22:21-08:00
Duration: 1 min 18 s
Channel: Nishant Kumar
Description: A child pulls a friend in a little red wagon. If the child pulls with a force of 16 N for 12 m and the handle of the wagon is inclined at an angle of 25^∘ above the horizontal, how much work does the child do on the wagon?

    A child pulls a friend in a little red wagon. If the child pulls with a force of $16 \mathrm{~N}$ for $12 \mathrm{~m}$ and the handle of the wagon is inclined at an angle of $25^{\circ}$ above the horizontal, how much work does the child do on the wagon?

Pearson Physics

James S. Walker 2013 Edition

Chapter 6, Problem 74

Instant Answer

Solved by Expert Nishant Kumar

02/19/2023

Step 1

The horizontal component of the force (F_horizontal) can be calculated as follows: F_horizontal = F * cos(angle) F_horizontal = 16 N * cos(25°) Show more…

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A child pulls a friend in a little red wagon. If the child pulls with a force of $16 \mathrm{~N}$ for $12 \mathrm{~m}$ and the handle of the wagon is inclined at an angle of $25^{\circ}$ above the horizontal, how much work does the child do on the wagon?

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Key Concepts

Work

Work is a measure of energy transfer that occurs when a force causes an object to move. It is calculated by multiplying the magnitude of the displacement by the component of the force that acts along the direction of that displacement.

Force Components

When a force is applied at an angle to the direction of motion, only the component of the force parallel to the displacement contributes to the work. This component is determined using trigonometric functions, specifically by multiplying the force by the cosine of the angle between the force and the displacement.

Trigonometric Resolution

The cosine function is used to resolve the applied force into its horizontal component, which is aligned with the displacement. Understanding this concept is crucial for accurately determining the effective force contributing to the work done on an object.

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