
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.
![### Physics Problem on Tension, Acceleration, and Distance
#### Diagram Explanation
The diagram shows a pulley system consisting of two masses connected by a string over a frictionless pulley. One mass \( m_1 \) is on the left side, hanging vertically, while the other mass \( m_2 \) is on the right side, also hanging vertically.
#### Problems and Solutions
**(a)** Determine the tension in the string. (Enter the magnitude only. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{N} \]
**(b)** Determine the acceleration of each object. (Enter the magnitude only.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m/s}^2 \]
**(c)** Determine the distance each object will move in the first second of motion if both objects start from rest.
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m} \]
#### Explanation:
- **Tension in the String**: To find the tension, consider the forces acting on each mass and apply Newton's second law of motion.
- **Acceleration of Each Object**: Use the combined system's equations to solve for acceleration, considering the net force acting on the system.
- **Distance Moved in the First Second**: Using the kinematic equations of motion, calculate the distance based on the acceleration and initial rest condition of the objects.
Ensure all calculations consider the values accurately and avoid rounding intermediate steps to maintain precision.](https://content.bartleby.com/qna-images/question/86fc9270-ad68-4ba8-8b0d-981a01802a8a/e3f6e019-cbe0-4ee5-bc03-82a352f87d93/w4w3e4o_thumbnail.png)
Transcribed Image Text:### Physics Problem on Tension, Acceleration, and Distance
#### Diagram Explanation
The diagram shows a pulley system consisting of two masses connected by a string over a frictionless pulley. One mass \( m_1 \) is on the left side, hanging vertically, while the other mass \( m_2 \) is on the right side, also hanging vertically.
#### Problems and Solutions
**(a)** Determine the tension in the string. (Enter the magnitude only. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{N} \]
**(b)** Determine the acceleration of each object. (Enter the magnitude only.)
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m/s}^2 \]
**(c)** Determine the distance each object will move in the first second of motion if both objects start from rest.
\[ \boxed{\ \ \ \ \ \ \ \ \ } \ \text{m} \]
#### Explanation:
- **Tension in the String**: To find the tension, consider the forces acting on each mass and apply Newton's second law of motion.
- **Acceleration of Each Object**: Use the combined system's equations to solve for acceleration, considering the net force acting on the system.
- **Distance Moved in the First Second**: Using the kinematic equations of motion, calculate the distance based on the acceleration and initial rest condition of the objects.
Ensure all calculations consider the values accurately and avoid rounding intermediate steps to maintain precision.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 4 steps with 5 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.Similar questions
- Part A, B, and Carrow_forwardA man is attempting to lift a crate with a double-pulley system, as shown. A single rope is routed from the ceiling, through the two pulleys, and to where the man pulls on it. The crate has mass m2 = 68 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 599 N. The pulleys are both massless and frictionless, and the rope is ideal. What is the magnitude, in newtons, of the tension force, T?What is the acceleration, in meters per squared second, of the crate?arrow_forwardA uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:arrow_forward
- The system shown in the figure is in equilibrium. If the block has a mass of 7 kg and the angle θ = 32. What is the tension in the string connecting the block to the wall? Express your answer in Newtons.arrow_forwardma tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 87 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction? net pull N to the Select an answer v %3D TA 8088 ni pnibne inuarrow_forwardi need help with this pleasearrow_forward
- (a) A block of mass m = 3.10 kg is suspended as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale m (b) Two blocks each of mass m = 3.10 kg are connected as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale (c) A block of mass m = 3.10 kg is in equilibrium on an incline plane of angle e = 34.0° when connected as shown in the diagram below. Assume the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? Spring Scale marrow_forwardThree boxes of the same mass are arranged as shown using frictionless pulleys and massless string. The coefficient of kinetic friction between the tables and the boxes is µk = 0.6 and the pictured angles, θ, are identical. For an instant, the masses are moving with constant velocity. At this instant, what is the angle of the string, θ?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON

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

University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press

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

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...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON