**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 metersArrows 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.)

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Description: **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 fri

According to the conservation of mechanical energy, the sum of kinetic energy and mechanical energy…

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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

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

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Author:Raymond A. Serway, Chris Vuille

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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.

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.)

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