The system shown in the figure consists of a 4.0 kg block sliding on a horizontal table connected by a string of negligible mass run over a pulley with negligible friction to a hanging 10 kg mass. The two objects are released from rest and the string remains taut throughout the motion. We wish to find the speed of the two objects after the hanging mass has fallen by 20 cm. Since only differences in potential energy are important, we can set the zero point of potential energy for each object independently. For the sliding block, consider the zero point of potential energy as the height of the table. For the hanging mass, use the ground. Using this convention, what is the total initial gravitational potential energy of the system? Remember to include the contributions from both objects.
 Using the same convention, what is the total final gravitational potential energy of the system?
  What is the total kinetic energy of the system after the hanging mass has fallen by 20 cm? You may assume that the effects of friction are negligible.
 What is the speed of each object? Remember that the total kinetic energy is the sum of the kinetic energies of each individual object.

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
100%

The system shown in the figure consists of a 4.0 kg block sliding on a horizontal table connected by a string of negligible mass run over a pulley with negligible friction to a hanging 10 kg mass. The two objects are released from rest and the string remains taut throughout the motion. We wish to find the speed of the two objects after the hanging mass has fallen by 20 cm.

  1. Since only differences in potential energy are important, we
    can set the zero point of potential energy for each object independently. For the sliding block, consider the zero point of potential energy as the height of the table. For the hanging mass, use the ground. Using this convention, what is the total initial gravitational potential energy of the system? Remember to include the contributions from both objects.

  2. Using the same convention, what is the total final gravitational potential energy of the system?
 
  3. What is the total kinetic energy of the system after the hanging mass has fallen by 20 cm? You may assume that the effects of friction are negligible.

  4. What is the speed of each object? Remember that the total kinetic energy is the sum of the kinetic energies of each individual object.

11. The system shown in the figure consists of a 4.0 kg block sliding on a horizontal table connected by a string
of negligible mass run over a pulley with negligible friction to a hanging 10 kg mass. The two objects are
released from rest and the string remains taut throughout the motion. We wish
to find the speed of the two objects after the hanging mass has fallen by 20 cm.
a) Since only differences in potential energy are important, we
can set the zero point of potential energy for each object independently.
For the sliding block, consider the zero point of potential energy as the
height of the table. For the hanging mass, use the ground. Using this
convention, what is the total initial gravitational potential energy of the system? Remember to include
the contributions from both objects.O
b) Using the same convention, what is the total final gravitational potential energy of the system?O
c) What is the total kinetic energy of the system after the hanging mass has fallen by 20 cm? You may
assume that the effects of friction are negligible.O
d) What is the speed of each object? Remember that the total kinetic energy is the sum of the kinetic
energies of each individual object.O
Transcribed Image Text:11. The system shown in the figure consists of a 4.0 kg block sliding on a horizontal table connected by a string of negligible mass run over a pulley with negligible friction to a hanging 10 kg mass. The two objects are released from rest and the string remains taut throughout the motion. We wish to find the speed of the two objects after the hanging mass has fallen by 20 cm. a) Since only differences in potential energy are important, we can set the zero point of potential energy for each object independently. For the sliding block, consider the zero point of potential energy as the height of the table. For the hanging mass, use the ground. Using this convention, what is the total initial gravitational potential energy of the system? Remember to include the contributions from both objects.O b) Using the same convention, what is the total final gravitational potential energy of the system?O c) What is the total kinetic energy of the system after the hanging mass has fallen by 20 cm? You may assume that the effects of friction are negligible.O d) What is the speed of each object? Remember that the total kinetic energy is the sum of the kinetic energies of each individual object.O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

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