Homework Help is Here – Start Your Trial Now!
Science
Physics
1) A 5-kg object is initially at rest on a table 2 m above the ground. If it is released and falls freely to the ground, what is the object's gravitational potential energy when it is at its highest point, and what is its velocity when it is about to hit the ground? (Assume g≈ 9.8 m/s2) Also, will the total energy of the system decrease or increase (specify your reason for the answer) if we don't ignore all the non-conservative forces? Solution:

1) A 5-kg object is initially at rest on a table 2 m above the ground. If it is released and falls freely to the ground, what is the object's gravitational potential energy when it is at its highest point, and what is its velocity when it is about to hit the ground? (Assume g≈ 9.8 m/s2) Also, will the total energy of the system decrease or increase (specify your reason for the answer) if we don't ignore all the non-conservative forces? Solution:

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
Please answer and solve the question correctly. Thank you!!
### Problem Description 1) A 5-kg object is initially at rest on a table 2 m above the ground. If it is released and falls freely to the ground, what is the object's gravitational potential energy when it is at its highest point, and what is its **velocity** when it is about to hit the ground? (Assume \( g \approx 9.8 \, \text{m/s}^2 \)) Also, will the total energy of the system decrease or increase (specify your reason for the answer) if we don’t ignore all the non-conservative forces? **Solution:** To solve the problem, consider the following steps: 1. **Gravitational Potential Energy at the Highest Point:** - Formula: \( PE = mgh \), where \( m \) is mass, \( g \) is gravity, and \( h \) is height. - Given: \( m = 5 \, \text{kg}, \, g = 9.8 \, \text{m/s}^2, \, h = 2 \, \text{m} \). - Calculate: \( PE = 5 \times 9.8 \times 2 = 98 \, \text{Joules} \). 2. **Velocity Just Before Impact:** - Apply conservation of energy: Initial Potential Energy = Kinetic Energy just before impact. - Formula: \( KE = \frac{1}{2} mv^2 \). - Equating: \( mgh = \frac{1}{2} mv^2 \). - Solve for \( v \): \( v = \sqrt{2gh} \). - Given \( g = 9.8 \, \text{m/s}^2 \) and \( h = 2 \, \text{m} \), calculate \( v = \sqrt{2 \times 9.8 \times 2} \approx 6.26 \, \text{m/s} \). 3. **Effect of Non-Conservative Forces:** - If non-conservative forces (like air resistance) are considered, they do work on the object, converting mechanical energy into other forms (e.g., thermal). - Thus, the total mechanical energy of the system will decrease. If ignored, energy would technically appear to remain constant in an ideal system
Transcribed Image Text:### Problem Description 1) A 5-kg object is initially at rest on a table 2 m above the ground. If it is released and falls freely to the ground, what is the object's gravitational potential energy when it is at its highest point, and what is its **velocity** when it is about to hit the ground? (Assume \( g \approx 9.8 \, \text{m/s}^2 \)) Also, will the total energy of the system decrease or increase (specify your reason for the answer) if we don’t ignore all the non-conservative forces? **Solution:** To solve the problem, consider the following steps: 1. **Gravitational Potential Energy at the Highest Point:** - Formula: \( PE = mgh \), where \( m \) is mass, \( g \) is gravity, and \( h \) is height. - Given: \( m = 5 \, \text{kg}, \, g = 9.8 \, \text{m/s}^2, \, h = 2 \, \text{m} \). - Calculate: \( PE = 5 \times 9.8 \times 2 = 98 \, \text{Joules} \). 2. **Velocity Just Before Impact:** - Apply conservation of energy: Initial Potential Energy = Kinetic Energy just before impact. - Formula: \( KE = \frac{1}{2} mv^2 \). - Equating: \( mgh = \frac{1}{2} mv^2 \). - Solve for \( v \): \( v = \sqrt{2gh} \). - Given \( g = 9.8 \, \text{m/s}^2 \) and \( h = 2 \, \text{m} \), calculate \( v = \sqrt{2 \times 9.8 \times 2} \approx 6.26 \, \text{m/s} \). 3. **Effect of Non-Conservative Forces:** - If non-conservative forces (like air resistance) are considered, they do work on the object, converting mechanical energy into other forms (e.g., thermal). - Thus, the total mechanical energy of the system will decrease. If ignored, energy would technically appear to remain constant in an ideal system
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Central force
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
  • SEE MORE 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
SEE MORE TEXTBOOKS