17. Which of the following must occur for work to be done on an object? O the object must rotate the object must move a force is applied a force is removed All changes

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)...
icon
Related questions
Topic Video
Question
### Physics: Understanding Work and Force

#### Multiple Choice Question

**17. Which of the following must occur for work to be done on an object?**

- \( \bigcirc \) the object must rotate
- \( \bigcirc \) the object must move
- \( \bigcirc \) a force is applied
- \( \bigcirc \) a force is removed

### Explanation:

For work to be done on an object in a physical context, there must be both a force applied to the object and the object must move in the direction of the force. Thus, the correct answer here would be "the object must move."

**Concepts:**
1. **Force and Displacement**: Work is defined as the product of the force applied to an object and the distance over which that force is applied, in the direction of the force.
2. **Equation of Work**: Mathematically, work (W) is calculated as:
   \[
   W = F \cdot d \cdot \cos(\theta)
   \]
   where:
   - \( F \) is the force applied,
   - \( d \) is the displacement of the object,
   - \( \theta \) is the angle between the force and the displacement vector.
3. **Units of Work**: The standard unit of work in the International System of Units (SI) is the Joule (J).

**Important Note**: Simply applying a force without causing displacement doesn't constitute work in the physical sense.

#### Diagram Explanation:

If there were a diagram illustrating these concepts, it might show:

- A box (representing an object) with an arrow indicating the direction of applied force.
- Another arrow showing the direction of the object's movement.
- Labelled angles to show the relation between force and displacement when they are not perfectly aligned (which incorporates the cosine factor in the work equation).

By understanding these fundamental concepts, learners can grasp how energy is transferred through work and how force and movement are interconnected in physics.
Transcribed Image Text:### Physics: Understanding Work and Force #### Multiple Choice Question **17. Which of the following must occur for work to be done on an object?** - \( \bigcirc \) the object must rotate - \( \bigcirc \) the object must move - \( \bigcirc \) a force is applied - \( \bigcirc \) a force is removed ### Explanation: For work to be done on an object in a physical context, there must be both a force applied to the object and the object must move in the direction of the force. Thus, the correct answer here would be "the object must move." **Concepts:** 1. **Force and Displacement**: Work is defined as the product of the force applied to an object and the distance over which that force is applied, in the direction of the force. 2. **Equation of Work**: Mathematically, work (W) is calculated as: \[ W = F \cdot d \cdot \cos(\theta) \] where: - \( F \) is the force applied, - \( d \) is the displacement of the object, - \( \theta \) is the angle between the force and the displacement vector. 3. **Units of Work**: The standard unit of work in the International System of Units (SI) is the Joule (J). **Important Note**: Simply applying a force without causing displacement doesn't constitute work in the physical sense. #### Diagram Explanation: If there were a diagram illustrating these concepts, it might show: - A box (representing an object) with an arrow indicating the direction of applied force. - Another arrow showing the direction of the object's movement. - Labelled angles to show the relation between force and displacement when they are not perfectly aligned (which incorporates the cosine factor in the work equation). By understanding these fundamental concepts, learners can grasp how energy is transferred through work and how force and movement are interconnected in physics.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Mechanical Work done
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON