If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a problem on icy mountain roads). Assume the car is moving in a horizontal circle at constant speed. a. Calculate the ideal speed to take a 100.0 m radius curve banked at 13°. = m/s Videal b. What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h? min =

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a problem on icy mountain roads). Assume the car is moving in a horizontal circle at constant speed. a. Calculate the ideal speed to take a 100.0 m radius curve banked at 13°. = m/s Videal b. What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h? min =

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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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

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**Educational Text: Banking Curves and Friction**

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**Problem Overview:**

When a car takes a banked curve at less than the ideal speed, additional friction is necessary to prevent it from sliding inward. This situation commonly occurs on icy mountain roads. For this problem, assume the car is moving in a horizontal circle at constant speed.

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**Questions:**

a. **Calculate the ideal speed to take a 100.0 m radius curve banked at 13°:**

\[ v_{\text{ideal}} = \, \boxed{\text{m/s}} \]

b. **What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?**

\[ \mu_{\text{min}} = \, \boxed{} \]

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**Diagram Explanation:**

- **Banked Curve Illustration:**
- The image shows a car positioned on a road with a banked curve, sloping at an angle.
- The angle of the bank is clearly represented, demonstrating how the car relies on the curve to navigate turns.

**Support Links:**

- **Question Help:**
- Options to submit the question or read assistance notes.
- **Hints:**
- Two hints are available to help solve the problem.

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