**Circular Motion Analysis: Car Traveling on a Circular Path**A car initially traveling eastward turns north by traveling in a circular path at uniform speed, as illustrated in the figure. The arc length \( ABC \) is 257 meters, and the car completes the turn in 39.0 seconds.### Diagram Details:The diagram displays a circular path with a segment marked as \( ABC \). The motion starts at point \( A \) and ends at point \( C \) with point \( B \) as an intermediary point on the arc. The circular path makes an angle of 35.0° with the x-axis, as measured from point \( O \).### Tasks:(a) **Speed Determination**- Calculate the car’s speed.- Speed = \(\_\_\_\_\) m/s(b) **Acceleration Analysis at Point \( B \)**- Determine the magnitude and direction of the acceleration.- Magnitude = \(\_\_\_\_\) m/s²- Direction = \(\_\_\_\_\)° counterclockwise from the +x-axisThis analysis task requires understanding circular motion principles to compute both speed and centripetal acceleration.

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A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 257 m, and the car completes the turn in 39.0 s. 35.0° B (a) Determine the car's speed. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude m/s?

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in the figure below. The length of the arc ABC is 257 m, and the car completes the turn in 39.0 s. 35.0° B (a) Determine the car's speed. m/s (b) What is the magnitude and direction of the acceleration when the car is at point B? magnitude m/s?

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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Question

**Circular Motion Analysis: Car Traveling on a Circular Path**

A car initially traveling eastward turns north by traveling in a circular path at uniform speed, as illustrated in the figure. The arc length \( ABC \) is 257 meters, and the car completes the turn in 39.0 seconds.

### Diagram Details:
The diagram displays a circular path with a segment marked as \( ABC \). The motion starts at point \( A \) and ends at point \( C \) with point \( B \) as an intermediary point on the arc. The circular path makes an angle of 35.0° with the x-axis, as measured from point \( O \).

### Tasks:
(a) **Speed Determination**
- Calculate the car’s speed.
- Speed = \(\_\_\_\_\) m/s

(b) **Acceleration Analysis at Point \( B \)**
- Determine the magnitude and direction of the acceleration.
- Magnitude = \(\_\_\_\_\) m/s²
- Direction = \(\_\_\_\_\)° counterclockwise from the +x-axis

This analysis task requires understanding circular motion principles to compute both speed and centripetal acceleration.

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