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 248 m, and the car completes the turn in 38.0 s. (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?
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
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 248 m, and the car completes the turn in 38.0 s.
m/s
(b) What is the magnitude and direction of the acceleration when the car is at point B?
magnitude | m/s2 |
direction | ° counterclockwise from the +x-axis |
![### Vector Addition Using the Parallelogram Law
Vector addition can be visualized and computed using the parallelogram law. Here, we present an illustrative example of vector addition on a Cartesian plane.
In the given diagram, we have two vectors originating from point \( O \) (the origin). The first vector, \( \vec{OA} \), is represented by the arrow pointing towards point \( A \) along the negative x-axis. The second vector, \( \vec{OB} \), makes an angle of \( 35.0^\circ \) with the x-axis and extends toward point \( B \).
To add these vectors graphically:
1. **Translate vector** \( \vec{OB} \) **to point** \( A \) **forming** \( \vec{AC} \) **keeping the direction and magnitude unchanged.**
2. **Draw a vector** \( \vec{OC} \) **from the origin** \( O \) **to point** \( C \), **which is the endpoint of** \( \vec{AC} \).
The result of adding vectors \( \vec{OA} \) and \( \vec{OB} \) is the diagonal vector \( \vec{OC} \). This is confirmed by the parallelogram formed by \( \vec{OA}, \vec{AC}, \vec{OB} \), and \( \vec{OC} \).
**Key Points:**
- The angle between \( \vec{OA} \) and \( \vec{OB} \) is \( 35.0^\circ \).
- Vectors have both magnitude and direction, represented by the length and arrowhead orientation, respectively.
- The resultant vector \( \vec{OC} \) is the vector sum of \( \vec{OA} \) and \( \vec{OB} \).
This diagram and explanation illustrate the geometric method of vector addition using the parallelogram law, providing a clear visual understanding of combining vectors in a two-dimensional plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46de0c1e-5917-4c64-a14a-d20a61d029b2%2F4b25e962-d439-4d07-96da-883686055292%2Fm2x2g18_processed.gif&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)