5.00 m 3.20 m 2.00 m A block with a mass of 8.3 kg is released from rest at point A and slides down the frictionless track as shown above List the following energies at point A: Potential Energy: J Kinetic Energy: J Total Mechanical Energy: List the following energies at point B: Potential Energy: Kinetic Energy: Total Mechanical Energy: 0 J

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
**Title: Energy Analysis of a Block on a Frictionless Track**

**Introduction:**
A block with a mass of 8.3 kg is released from rest at point A and slides down a frictionless track as shown in the diagram.

**Diagram Explanation:**
The diagram shows a frictionless track with three key points: A, B, and C. The heights of these points above the ground are indicated as follows:
- Point A: 5.00 meters
- Point B: 3.20 meters
- Point C: 2.00 meters

Arrows indicate the vertical distances from each point to the ground, signifying the potential energy each position holds.

**Objective:**
Calculate and list the potential energy, kinetic energy, and total mechanical energy at points A, B, and C.

**Energy Calculations:**

1. **At Point A:**
   - **Potential Energy:**
     - Formula: \( PE = mgh \)
     - \( m = 8.3 \text{ kg}, \, g = 9.81 \text{ m/s}^2, \, h = 5.00 \text{ m} \)

   - **Kinetic Energy:**
     - Formula: \( KE = \frac{1}{2}mv^2 \)
     - Since the block starts from rest, \( v = 0 \text{ m/s} \)

   - **Total Mechanical Energy:**

2. **At Point B:**
   - **Potential Energy:**
     - \( h = 3.20 \text{ m} \)

   - **Kinetic Energy:**

   - **Total Mechanical Energy:**
     - Note: Total mechanical energy remains constant throughout the motion.

3. **At Point C:**
   - **Potential Energy:**
     - \( h = 2.00 \text{ m} \)

   - **Kinetic Energy:**

   - **Total Mechanical Energy:**

**Conclusion:**
By understanding the conservation of mechanical energy in a frictionless system, we can determine the potential and kinetic energy at different points without needing further details about velocity or time.
Transcribed Image Text:**Title: Energy Analysis of a Block on a Frictionless Track** **Introduction:** A block with a mass of 8.3 kg is released from rest at point A and slides down a frictionless track as shown in the diagram. **Diagram Explanation:** The diagram shows a frictionless track with three key points: A, B, and C. The heights of these points above the ground are indicated as follows: - Point A: 5.00 meters - Point B: 3.20 meters - Point C: 2.00 meters Arrows indicate the vertical distances from each point to the ground, signifying the potential energy each position holds. **Objective:** Calculate and list the potential energy, kinetic energy, and total mechanical energy at points A, B, and C. **Energy Calculations:** 1. **At Point A:** - **Potential Energy:** - Formula: \( PE = mgh \) - \( m = 8.3 \text{ kg}, \, g = 9.81 \text{ m/s}^2, \, h = 5.00 \text{ m} \) - **Kinetic Energy:** - Formula: \( KE = \frac{1}{2}mv^2 \) - Since the block starts from rest, \( v = 0 \text{ m/s} \) - **Total Mechanical Energy:** 2. **At Point B:** - **Potential Energy:** - \( h = 3.20 \text{ m} \) - **Kinetic Energy:** - **Total Mechanical Energy:** - Note: Total mechanical energy remains constant throughout the motion. 3. **At Point C:** - **Potential Energy:** - \( h = 2.00 \text{ m} \) - **Kinetic Energy:** - **Total Mechanical Energy:** **Conclusion:** By understanding the conservation of mechanical energy in a frictionless system, we can determine the potential and kinetic energy at different points without needing further details about velocity or time.
A block with a mass of 8.3 kg is released from rest at point A and slides down the frictionless track as shown above.

**List the following energies at point A:**

- Potential Energy: [ ] J
- Kinetic Energy: [ ] J
- Total Mechanical Energy: [ ] J

**List the following energies at point B:**

- Potential Energy: [ ] J
- Kinetic Energy: [ ] J
- Total Mechanical Energy: 0 J

**List the following energies at point C:**

- Potential Energy: [ ] J
- Kinetic Energy: [ ] J
- Total Mechanical Energy: [ ] J

(Note: J is the unit for energy, joules.)
Transcribed Image Text:A block with a mass of 8.3 kg is released from rest at point A and slides down the frictionless track as shown above. **List the following energies at point A:** - Potential Energy: [ ] J - Kinetic Energy: [ ] J - Total Mechanical Energy: [ ] J **List the following energies at point B:** - Potential Energy: [ ] J - Kinetic Energy: [ ] J - Total Mechanical Energy: 0 J **List the following energies at point C:** - Potential Energy: [ ] J - Kinetic Energy: [ ] J - Total Mechanical Energy: [ ] J (Note: J is the unit for energy, joules.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 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