**Problem Description:** A 55.0 kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high. **Question:** How far does the ball fall in the first 2.00 seconds of its flight? **Answer Box:** \[ \_\_\_\_\_\_ \text{ m} \] --- **Explanation for Educators:** To solve this problem, use the equation for distance fallen under gravity without initial velocity: \[ d = \frac{1}{2} g t^2 \] where: - \( d \) is the distance fallen, - \( g \) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)), - \( t \) is the time in seconds. By substituting \( t = 2.00 \) s into the equation, the distance can be calculated as follows: \[ d = \frac{1}{2} \times 9.8 \times (2.00)^2 \] \[ d = \frac{1}{2} \times 9.8 \times 4 \] \[ d = 19.6 \, \text{m} \] Thus, the ball falls 19.6 meters in the first 2.00 seconds of its flight.
**Problem Description:** A 55.0 kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high. **Question:** How far does the ball fall in the first 2.00 seconds of its flight? **Answer Box:** \[ \_\_\_\_\_\_ \text{ m} \] --- **Explanation for Educators:** To solve this problem, use the equation for distance fallen under gravity without initial velocity: \[ d = \frac{1}{2} g t^2 \] where: - \( d \) is the distance fallen, - \( g \) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)), - \( t \) is the time in seconds. By substituting \( t = 2.00 \) s into the equation, the distance can be calculated as follows: \[ d = \frac{1}{2} \times 9.8 \times (2.00)^2 \] \[ d = \frac{1}{2} \times 9.8 \times 4 \] \[ d = 19.6 \, \text{m} \] Thus, the ball falls 19.6 meters in the first 2.00 seconds of its flight.
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)...
Related questions
Topic Video
Question
Help
![**Problem Description:**
A 55.0 kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high.
**Question:**
How far does the ball fall in the first 2.00 seconds of its flight?
**Answer Box:**
\[ \_\_\_\_\_\_ \text{ m} \]
---
**Explanation for Educators:**
To solve this problem, use the equation for distance fallen under gravity without initial velocity:
\[ d = \frac{1}{2} g t^2 \]
where:
- \( d \) is the distance fallen,
- \( g \) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)),
- \( t \) is the time in seconds.
By substituting \( t = 2.00 \) s into the equation, the distance can be calculated as follows:
\[ d = \frac{1}{2} \times 9.8 \times (2.00)^2 \]
\[ d = \frac{1}{2} \times 9.8 \times 4 \]
\[ d = 19.6 \, \text{m} \]
Thus, the ball falls 19.6 meters in the first 2.00 seconds of its flight.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1eb1fc0c-4938-4d8a-8f39-f49a619e4b70%2F30b3f2fd-0daf-439b-8e82-a894b29daff7%2F7kurn6k.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A 55.0 kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high.
**Question:**
How far does the ball fall in the first 2.00 seconds of its flight?
**Answer Box:**
\[ \_\_\_\_\_\_ \text{ m} \]
---
**Explanation for Educators:**
To solve this problem, use the equation for distance fallen under gravity without initial velocity:
\[ d = \frac{1}{2} g t^2 \]
where:
- \( d \) is the distance fallen,
- \( g \) is the acceleration due to gravity (\(9.8 \, \text{m/s}^2\)),
- \( t \) is the time in seconds.
By substituting \( t = 2.00 \) s into the equation, the distance can be calculated as follows:
\[ d = \frac{1}{2} \times 9.8 \times (2.00)^2 \]
\[ d = \frac{1}{2} \times 9.8 \times 4 \]
\[ d = 19.6 \, \text{m} \]
Thus, the ball falls 19.6 meters in the first 2.00 seconds of its flight.
Expert Solution
Step 1
According to question---
Given values---
- mass m = 55 kg.
- initial speed = 0 m/s .
- tower height = 55 m.
- time = 2 sec.
We have to find--
- How far does the ball fall in the first 2.00 s of its flight?
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON