### Educational Exercise: Circular Motion AnalysisThe image depicts a scenario where a particle starts at point \( A \), initially traveling in the \( +x \)-direction. It transitions into a circular path at a constant speed until it travels in the \( +y \)-direction at point \( C \). The details are as follows:- The path from \( A \) to \( C \) is a quarter-circle arc with a length of 207 meters.- The movement from \( A \) to \( C \) takes 35.0 seconds.- Point \( B \) on the path is 35.0° below the \( x \)-axis. #### Diagram Explanation:- The coordinate system has the \( x \)-axis horizontally and the \( y \)-axis vertically.- The quarter-circle path from \( A \) to \( C \) forms part of a larger circular path.- The center of the circle is marked, and angles are indicated with the direction at \( B \).#### Questions:(a) **What is the speed of the particle (in m/s)?**- Answer box provided for speed in m/s.(b) **What is the magnitude and direction of the acceleration when the particle is at point \( B \)?**- Magnitude box in m/s².- Direction box requires degrees counterclockwise from the \( +x \)-axis.

Answered: Image /qna-images/answer/5f19b370-a728-42d0-91a8-3fe7cca33cec.jpg

The figure below shows a particle initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 207 m in length, and the particle moves from A to C in 35.0 s. Point B on the path is 35.0° below the x-axis. 0 35.0° magnitude direction C (a) What is the speed of the particle (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the particle is at point B? (Enter the magnitude in m/s2 and the direction in degrees counterclockwise from the +x-axis.) m/s2 counterclockwise from the +x-axis

The figure below shows a particle initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 207 m in length, and the particle moves from A to C in 35.0 s. Point B on the path is 35.0° below the x-axis. 0 35.0° magnitude direction C (a) What is the speed of the particle (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the particle is at point B? (Enter the magnitude in m/s2 and the direction in degrees counterclockwise from the +x-axis.) m/s2 counterclockwise from the +x-axis

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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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

### Educational Exercise: Circular Motion Analysis

The image depicts a scenario where a particle starts at point \( A \), initially traveling in the \( +x \)-direction. It transitions into a circular path at a constant speed until it travels in the \( +y \)-direction at point \( C \). The details are as follows:

- The path from \( A \) to \( C \) is a quarter-circle arc with a length of 207 meters.
- The movement from \( A \) to \( C \) takes 35.0 seconds.
- Point \( B \) on the path is 35.0° below the \( x \)-axis.

#### Diagram Explanation:

- The coordinate system has the \( x \)-axis horizontally and the \( y \)-axis vertically.
- The quarter-circle path from \( A \) to \( C \) forms part of a larger circular path.
- The center of the circle is marked, and angles are indicated with the direction at \( B \).

#### Questions:

(a) **What is the speed of the particle (in m/s)?**

- Answer box provided for speed in m/s.

(b) **What is the magnitude and direction of the acceleration when the particle is at point \( B \)?**

- Magnitude box in m/s².
- Direction box requires degrees counterclockwise from the \( +x \)-axis.

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