Homework Help is Here – Start Your Trial Now!
Science
Physics
4. Write an equation that relates these expressions. Explain. 5. Solve this equation for v, the final speed of the block, in terms of given variables.

4. Write an equation that relates these expressions. Explain. 5. Solve this equation for v, the final speed of the block, in terms of given variables.

College Physics
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)...
See similar textbooks
icon
Related questions
Question
100%

Could you help with 4 and 5?

### Conservation of Energy #### 5. Is it possible to rank the changes in total energy of the three systems by simply comparing the rankings of the change in potential and kinetic energy for the systems (i.e., without comparing the net work on the systems)? Explain. #### D. In order for the equation \( K_i + U_i = K_f + U_f \) to be true for a given system, what must be true about the net work on that system? Explain. (Hint: Rearrange the terms to express the equation in terms of \(\Delta K\) and \(\Delta U\). How are these related to the change in total energy of the system?) --- ### II. Systems A block of mass \( m \) on a frictionless surface is attached to an ideal massless spring of constant \( k \), as shown in the diagram below. **Diagram Description:** - The block is initially at \( x = 0 \), the spring is neither stretched nor compressed. - At time \( t_i \), the block is released from rest at \( x = x_i \). - At time \( t_f \), the block passes \( x = 0 \) moving to the left with speed \( v_f \). - **Just Before Diagram** shows the block at \( x = x_i \) with the spring compressed/stretched. - **t = t_f, x = 0** shows the block passing the equilibrium position. --- #### A. Consider system A, which consists of the block and the spring. **1. List all the forces acting on system A during the interval from \( t_i \) to \( t_f \). For each force, indicate the object exerting the force and the type of force.** - Gravitational force (by Earth) - Normal force (by surface) - Spring force (by spring) **Notes** (as per handwritten annotations): - Gravitational force perpendicular to gravitational work is zero. - Work done by spring: \( W = \int_{x_i}^{0} -kx\, dx = -\frac{1}{2}kx_i^2 \) **2. For each force that you listed above, state whether that force does positive, negative, or zero work on system A during the interval from \( t_i \) to \( t_f \). Explain.** - Gravitational force: zero work. - Normal force: zero
Transcribed Image Text:### Conservation of Energy #### 5. Is it possible to rank the changes in total energy of the three systems by simply comparing the rankings of the change in potential and kinetic energy for the systems (i.e., without comparing the net work on the systems)? Explain. #### D. In order for the equation \( K_i + U_i = K_f + U_f \) to be true for a given system, what must be true about the net work on that system? Explain. (Hint: Rearrange the terms to express the equation in terms of \(\Delta K\) and \(\Delta U\). How are these related to the change in total energy of the system?) --- ### II. Systems A block of mass \( m \) on a frictionless surface is attached to an ideal massless spring of constant \( k \), as shown in the diagram below. **Diagram Description:** - The block is initially at \( x = 0 \), the spring is neither stretched nor compressed. - At time \( t_i \), the block is released from rest at \( x = x_i \). - At time \( t_f \), the block passes \( x = 0 \) moving to the left with speed \( v_f \). - **Just Before Diagram** shows the block at \( x = x_i \) with the spring compressed/stretched. - **t = t_f, x = 0** shows the block passing the equilibrium position. --- #### A. Consider system A, which consists of the block and the spring. **1. List all the forces acting on system A during the interval from \( t_i \) to \( t_f \). For each force, indicate the object exerting the force and the type of force.** - Gravitational force (by Earth) - Normal force (by surface) - Spring force (by spring) **Notes** (as per handwritten annotations): - Gravitational force perpendicular to gravitational work is zero. - Work done by spring: \( W = \int_{x_i}^{0} -kx\, dx = -\frac{1}{2}kx_i^2 \) **2. For each force that you listed above, state whether that force does positive, negative, or zero work on system A during the interval from \( t_i \) to \( t_f \). Explain.** - Gravitational force: zero work. - Normal force: zero
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Height and distance
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
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
SEE MORE TEXTBOOKS