A 25 N force pushes a box up a ramp to the back of a truck If the force does 200 J of work, how long is the ramp?

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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**Physics Problem: Work and Ramp Length**

A 25 N force pushes a box up a ramp to the back of a truck. If the force does 200 J of work, how long is the ramp?

**Question for Discussion:**
Where does the work go?

**Explanation:**
In this problem, we are tasked with determining the length of a ramp given the force applied and the work done. To find the length of the ramp, we can use the formula for work:

\[ \text{Work} = \text{Force} \times \text{Distance} \]

In this case:

- Work \( = 200 \, \text{J} \)
- Force \( = 25 \, \text{N} \)

\[ \text{Distance (Length of the Ramp)} = \frac{\text{Work}}{\text{Force}} = \frac{200 \, \text{J}}{25 \, \text{N}} = 8 \, \text{m} \]

**Understanding the Transfer of Work:**
The work done on the box goes into increasing its potential energy as it is elevated to a higher position on the ramp. Additionally, some of the work may be transformed into kinetic energy if the box gains speed or into overcoming frictional forces.
Transcribed Image Text:**Physics Problem: Work and Ramp Length** A 25 N force pushes a box up a ramp to the back of a truck. If the force does 200 J of work, how long is the ramp? **Question for Discussion:** Where does the work go? **Explanation:** In this problem, we are tasked with determining the length of a ramp given the force applied and the work done. To find the length of the ramp, we can use the formula for work: \[ \text{Work} = \text{Force} \times \text{Distance} \] In this case: - Work \( = 200 \, \text{J} \) - Force \( = 25 \, \text{N} \) \[ \text{Distance (Length of the Ramp)} = \frac{\text{Work}}{\text{Force}} = \frac{200 \, \text{J}}{25 \, \text{N}} = 8 \, \text{m} \] **Understanding the Transfer of Work:** The work done on the box goes into increasing its potential energy as it is elevated to a higher position on the ramp. Additionally, some of the work may be transformed into kinetic energy if the box gains speed or into overcoming frictional forces.
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