Part B What is the car's speed after coasting down the other side? Express your answer with the appropriate units.

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

A 1200 kg car is approaching the hill shown in **Figure 1** at 13 m/s when it suddenly runs out of gas. Neglect any friction.

### Discussion and Analysis

To solve this problem, we will apply the energy conservation law to determine the car's speed after coasting down the other side of the hill.

### Figure Description

**Figure 1** illustrates the scenario:

- A car is displayed approaching a hill.
- The hill has an initial incline of 12°.
- The car will travel up a distance of 15 meters along the slope.
- The peak of the hill has an angle of 5° leading down the other side.
- After the peak, the car will coast down a distance of 19 meters along the slope.

### Part B

**Question:**
What is the car's speed after coasting down the other side?

**Answer:**
Express your answer with the appropriate units.

\[
v = \_\_\_\_\_ \, \text{Value} \quad \_\_\_\_\_ \, \text{Units}
\]

[Submit Button]

**Feedback and Further Instruction:**
Here we learn to apply the energy conservation law to determine the final speed of the car.

---

**Instructions for Entering Answers:**

- Enter the numerical value in the "Value" box.
- Enter the corresponding units in the "Units" box.
- Click "Submit" to validate your answer.
Transcribed Image Text:### Problem Statement A 1200 kg car is approaching the hill shown in **Figure 1** at 13 m/s when it suddenly runs out of gas. Neglect any friction. ### Discussion and Analysis To solve this problem, we will apply the energy conservation law to determine the car's speed after coasting down the other side of the hill. ### Figure Description **Figure 1** illustrates the scenario: - A car is displayed approaching a hill. - The hill has an initial incline of 12°. - The car will travel up a distance of 15 meters along the slope. - The peak of the hill has an angle of 5° leading down the other side. - After the peak, the car will coast down a distance of 19 meters along the slope. ### Part B **Question:** What is the car's speed after coasting down the other side? **Answer:** Express your answer with the appropriate units. \[ v = \_\_\_\_\_ \, \text{Value} \quad \_\_\_\_\_ \, \text{Units} \] [Submit Button] **Feedback and Further Instruction:** Here we learn to apply the energy conservation law to determine the final speed of the car. --- **Instructions for Entering Answers:** - Enter the numerical value in the "Value" box. - Enter the corresponding units in the "Units" box. - Click "Submit" to validate your answer.
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