A car of mass M = 1000 kg traveling at 45.0 km/hour enters a banked turn covered with ice. The road is banked at an angle, and there is no friction between the road and the car's tires as shown in (Figure 1). Use g = 9.80 m/s² throughout this problem. Figure 1 of 1 ▼ Part A What is the radius r of the turn if 0 = 20.0° (assuming the car continues in uniform circular motion around the turn)? Express your answer in meters. ► View Available Hint(s) 17 ΑΣΦ T= 39.2 Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining Part B Complete previous part(s) Provide Feedback ? m
A car of mass M = 1000 kg traveling at 45.0 km/hour enters a banked turn covered with ice. The road is banked at an angle, and there is no friction between the road and the car's tires as shown in (Figure 1). Use g = 9.80 m/s² throughout this problem. Figure 1 of 1 ▼ Part A What is the radius r of the turn if 0 = 20.0° (assuming the car continues in uniform circular motion around the turn)? Express your answer in meters. ► View Available Hint(s) 17 ΑΣΦ T= 39.2 Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining Part B Complete previous part(s) Provide Feedback ? m
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)...
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![### Problem Statement
A car of mass \( M = 1000 \, \text{kg} \) traveling at \( 45.0 \, \text{km/hour} \) enters a banked turn covered with ice. The road is banked at an angle \(\theta\), and there is no friction between the road and the car's tires as shown in Figure 1. Use \( g = 9.80 \, \text{m/s}^2 \) throughout this problem.
#### Part A
**Question:**
What is the radius \( r \) of the turn if \(\theta = 20.0^\circ\) (assuming the car continues in uniform circular motion around the turn)?
**Express your answer in meters.**
- **Student Input:** \( r = 39.2 \, \text{m} \)
- **Feedback:** Incorrect; Try Again; One attempt remaining
**Hint:**
You may view available hint(s) by clicking [View Available Hint(s)].
#### Figure Description
The diagram (Figure 1) illustrates a side view of the banked curve. It shows:
- A car moving on a curved path.
- The banking angle \(\theta\) is shown between the horizontal line and the inclined road.
- The radius \( r \) is the horizontal distance from the center of the circular path to the center of the road.
**Note:** This question involves the concepts of circular motion and dynamics on a banked curve without friction.
#### Part B
Complete previous part(s) to continue.
**Provide Feedback:** Click here to comment on this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03d19364-d2f4-4703-a72b-e46c5aa833e9%2Fb979f1af-4fe8-4b32-86ec-038d1ca46dab%2Fn1jpd8g_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A car of mass \( M = 1000 \, \text{kg} \) traveling at \( 45.0 \, \text{km/hour} \) enters a banked turn covered with ice. The road is banked at an angle \(\theta\), and there is no friction between the road and the car's tires as shown in Figure 1. Use \( g = 9.80 \, \text{m/s}^2 \) throughout this problem.
#### Part A
**Question:**
What is the radius \( r \) of the turn if \(\theta = 20.0^\circ\) (assuming the car continues in uniform circular motion around the turn)?
**Express your answer in meters.**
- **Student Input:** \( r = 39.2 \, \text{m} \)
- **Feedback:** Incorrect; Try Again; One attempt remaining
**Hint:**
You may view available hint(s) by clicking [View Available Hint(s)].
#### Figure Description
The diagram (Figure 1) illustrates a side view of the banked curve. It shows:
- A car moving on a curved path.
- The banking angle \(\theta\) is shown between the horizontal line and the inclined road.
- The radius \( r \) is the horizontal distance from the center of the circular path to the center of the road.
**Note:** This question involves the concepts of circular motion and dynamics on a banked curve without friction.
#### Part B
Complete previous part(s) to continue.
**Provide Feedback:** Click here to comment on this question.
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