2. A rock is suspended by a string wound around a fixed pulley. The rock accelerates down- ward. Which one of the following statements concerning the tension in the string is true? (a) The tension is greater than the mass of the rock. (b) The tension is less than the mass of the rock. (c) The tension is equal to the weight of the rock. (d) The tension is greater than the weight of the rock. (e) The tension is less than the weight of the rock.
2. A rock is suspended by a string wound around a fixed pulley. The rock accelerates down- ward. Which one of the following statements concerning the tension in the string is true? (a) The tension is greater than the mass of the rock. (b) The tension is less than the mass of the rock. (c) The tension is equal to the weight of the rock. (d) The tension is greater than the weight of the rock. (e) The tension is less than the weight of the rock.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter6: Applications Of Newton’s Laws Of Motion
Section: Chapter Questions
Problem 9PQ: A man exerts a force of 16.7 N horizontally on a box so that it is at rest in contact with a wall as...
Related questions
Topic Video
Question

Transcribed Image Text:**Question 2: Tension in a String with a Fixed Pulley**
A rock is suspended by a string wound around a fixed pulley. The rock accelerates downward. Which one of the following statements concerning the tension in the string is true?
**Answer Options:**
(a) The tension is greater than the mass of the rock.
(b) The tension is less than the mass of the rock.
(c) The tension is equal to the weight of the rock.
(d) The tension is greater than the weight of the rock.
(e) The tension is less than the weight of the rock.
---
**Explanation:**
When analyzing the problem, we consider the forces acting on the rock:
1. **Gravitational Force (Weight of the Rock)**: This force acts downward and is equal to the mass of the rock (\(m\)) multiplied by the acceleration due to gravity (\(g\)).
\( \text{Weight} = mg \)
2. **Tension in the String**: This force acts upward.
Since the rock accelerates downward, we know that the net force on the rock must also be downward due to Newton's Second Law. The tension in the string is not enough to completely counterbalance the weight of the rock. Therefore, the tension in the string is less than the weight of the rock. Thus, the correct statement is:
(e) The tension is less than the weight of the rock.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
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.Recommended textbooks for you

Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning

Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill

Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning

Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill

Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning