Activity 2.4- Newton's Second Law Problems Use the free body diagram method to solve the following problems. Please show all steps. 1. A ball with a mass of M = 60 grams toward the ceiling where it bounces. It hits the ceiling and bounces off at the same speed of vo = 15 m/s and at an angle = 20° as shown. The collision takes At = 0.3 sec. a. Determine the magnitude of the acceleration while the ball is in contact with the ceiling. In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with ceiling. Start by defining a coordinate system (a +y direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +y to be in the direction of the acceleration. Note: the acceleration is not 100 m/s² nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors. O A ➖➖➖➖➖➖➖➖➖ II O 1² b. Use the FBD method to determine the average force that the ceiling exerts the ball during the collision. Show all the steps in the FBD method (i) Draw a labeled free body diagram for the ball. (ii) Define a coordinate system (+x and/or +y directions) and write out Newton's 2nd law in the appropriate directions using the symbols in your FBD. (iii) Solve symbolically for what you want. Do not substitute in numbers yet. C. Determine the numerical value of the average force the ceiling exerts on the ball during the collision. Show numbers you used.
Activity 2.4- Newton's Second Law Problems Use the free body diagram method to solve the following problems. Please show all steps. 1. A ball with a mass of M = 60 grams toward the ceiling where it bounces. It hits the ceiling and bounces off at the same speed of vo = 15 m/s and at an angle = 20° as shown. The collision takes At = 0.3 sec. a. Determine the magnitude of the acceleration while the ball is in contact with the ceiling. In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with ceiling. Start by defining a coordinate system (a +y direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +y to be in the direction of the acceleration. Note: the acceleration is not 100 m/s² nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors. O A ➖➖➖➖➖➖➖➖➖ II O 1² b. Use the FBD method to determine the average force that the ceiling exerts the ball during the collision. Show all the steps in the FBD method (i) Draw a labeled free body diagram for the ball. (ii) Define a coordinate system (+x and/or +y directions) and write out Newton's 2nd law in the appropriate directions using the symbols in your FBD. (iii) Solve symbolically for what you want. Do not substitute in numbers yet. C. Determine the numerical value of the average force the ceiling exerts on the ball during the collision. Show numbers you used.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I need help on this problem.
 *(Please note that in the original document, this diagram shows a ball moving at an angle of \( \theta \) to the vertical, hitting a ceiling, and bouncing off)*
a. **Determine the magnitude of the acceleration while the ball is in contact with the ceiling.** In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with the ceiling. Start by defining a coordinate system (a +\( y \) direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +\( y \) to be in the direction of the acceleration. *Note: the acceleration is not \( 100 \text{ m/s}^2 \) nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors.*
b. **Use the FBD method to determine the average force that the ceiling exerts the ball during the collision.** Show all the steps in the FBD method:
- (i) Draw a labeled free body diagram for the ball.
- (ii) Define a coordinate system (+\( x \) and/or +\( y \) directions) and write out Newton’s 2nd law in the appropriate directions using the symbols in your FBD.
- (iii) Solve symbolically for what you want. Do not substitute in numbers yet.
c. **Determine the numerical value of the average force the ceiling exerts on the ball during the collision.** Show numbers you used.
d. **What is the magnitude and direction of the force that the ball exerts on the ceiling during the collision?**
#### Explanation of Diagrams:
1. **Free Body Diagram (to be created by student):**
- A diagram showing a ball in contact with the ceiling,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5d4e29f-131d-4c29-ab80-9c0dd009bcff%2F939d505a-be23-44e1-8337-514d44a383f2%2Ftfxeua3h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Activity 2.4 – Newton’s Second Law Problems
Use the free body diagram method to solve the following problems. Please show all steps.
1. A ball with a mass of \( M = 60 \) grams toward the ceiling where it bounces. It hits the ceiling and bounces off at the same speed of \( v_0 = 15 \text{ m/s} \) and at an angle \( \theta = 20^\circ \) as shown. The collision takes \( \Delta t = 0.3 \) sec.
 *(Please note that in the original document, this diagram shows a ball moving at an angle of \( \theta \) to the vertical, hitting a ceiling, and bouncing off)*
a. **Determine the magnitude of the acceleration while the ball is in contact with the ceiling.** In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with the ceiling. Start by defining a coordinate system (a +\( y \) direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +\( y \) to be in the direction of the acceleration. *Note: the acceleration is not \( 100 \text{ m/s}^2 \) nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors.*
b. **Use the FBD method to determine the average force that the ceiling exerts the ball during the collision.** Show all the steps in the FBD method:
- (i) Draw a labeled free body diagram for the ball.
- (ii) Define a coordinate system (+\( x \) and/or +\( y \) directions) and write out Newton’s 2nd law in the appropriate directions using the symbols in your FBD.
- (iii) Solve symbolically for what you want. Do not substitute in numbers yet.
c. **Determine the numerical value of the average force the ceiling exerts on the ball during the collision.** Show numbers you used.
d. **What is the magnitude and direction of the force that the ball exerts on the ceiling during the collision?**
#### Explanation of Diagrams:
1. **Free Body Diagram (to be created by student):**
- A diagram showing a ball in contact with the ceiling,
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