**Problem 70.** The cars of an amusement-park ride have a speed \( v_1 = 90 \, \text{km/h} \) at the lowest part of the track. Determine their speed \( v_2 \) at the highest part of the track. Neglect the energy loss due to friction.*Caution:* Give careful thought to the change in potential energy of the system of cars. Note \( \tilde{r} = \frac{2r}{\pi} \).---**Diagram Explanation:**The diagram illustrates a section of a roller coaster track with two main parts:1. **Lowest Part of the Track:** - The cars are shown moving at a speed of \( v_1 = 90 \, \text{km/h} \). - The track at this section is relatively flat.2. **Highest Part of the Track:** - The track rises to a curved peak where the speed is \( v_2 \). - The radius of the curvature is given as \( 15 \, \text{m} \). - The angle at the peak is indicated as \( 90^\circ \). The diagram helps visualize the changes in height and speed of the cars as they move along the track, emphasizing the need to consider the conversion of kinetic energy to potential energy.

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Problem 70. The cars of an amusement-park ride have a speed v₁ = 90 km/h at the lowest part of the track. Determine their speed v₂ at the highest part of the track. Neglect the energy loss due to friction. Caution: Give careful thought to the change in potential energy of the system of cars. Note F = 2r TL xx, 22 15 m T

Problem 70. The cars of an amusement-park ride have a speed v₁ = 90 km/h at the lowest part of the track. Determine their speed v₂ at the highest part of the track. Neglect the energy loss due to friction. Caution: Give careful thought to the change in potential energy of the system of cars. Note F = 2r TL xx, 22 15 m T

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**Problem 70.** The cars of an amusement-park ride have a speed \( v_1 = 90 \, \text{km/h} \) at the lowest part of the track. Determine their speed \( v_2 \) at the highest part of the track. Neglect the energy loss due to friction.

*Caution:* Give careful thought to the change in potential energy of the system of cars. Note \( \tilde{r} = \frac{2r}{\pi} \).

---

**Diagram Explanation:**

The diagram illustrates a section of a roller coaster track with two main parts:

1. **Lowest Part of the Track:**
- The cars are shown moving at a speed of \( v_1 = 90 \, \text{km/h} \).
- The track at this section is relatively flat.

2. **Highest Part of the Track:**
- The track rises to a curved peak where the speed is \( v_2 \).
- The radius of the curvature is given as \( 15 \, \text{m} \).
- The angle at the peak is indicated as \( 90^\circ \).

The diagram helps visualize the changes in height and speed of the cars as they move along the track, emphasizing the need to consider the conversion of kinetic energy to potential energy.

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