15⁰ TT You are on a swing that consists of a seat at the end of a 2.0 m rope. Your friend pulls you back through an angle of 15 degrees and then lets you go to start swinging. As you reach the bottom you scoop up your little sister who was standing on the ground. To what angle does the swing rise after that? Assume your mass is 50.0 kg and your sister's mass is 20.0 kg.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 2PQ
icon
Related questions
Topic Video
Question
**Problem 2: Swing Physics**

You are seated on a swing that has a seat attached to the end of a 2.0-meter rope. Initially, your friend pulls you back, creating an angle of 15 degrees from the vertical, and then releases you, starting the swinging motion. When you reach the lowest point, you pick up your little sister, who is standing on the ground.

**Objective:**
Determine the angle to which the swing rises after picking up your sister. Assume your mass is 50.0 kg and your sister’s mass is 20.0 kg.

**Diagrams:**
1. The first diagram shows a person seated on a swing at a 15-degree angle from the vertical, ready to start the swing back and forth.
2. The second diagram shows the swing in motion, reaching the vertical position at its lowest point, where the sister is picked up.
3. The third diagram depicts the swing reaching a new angle of elevation (indicated with a question mark) after the sister has been picked up, showing a person with an additional figure (the sister).

**Analysis:**
To solve, apply principles of conservation of energy and physics of pendulums, considering the combined mass and new conditions after picking up the sister.
Transcribed Image Text:**Problem 2: Swing Physics** You are seated on a swing that has a seat attached to the end of a 2.0-meter rope. Initially, your friend pulls you back, creating an angle of 15 degrees from the vertical, and then releases you, starting the swinging motion. When you reach the lowest point, you pick up your little sister, who is standing on the ground. **Objective:** Determine the angle to which the swing rises after picking up your sister. Assume your mass is 50.0 kg and your sister’s mass is 20.0 kg. **Diagrams:** 1. The first diagram shows a person seated on a swing at a 15-degree angle from the vertical, ready to start the swing back and forth. 2. The second diagram shows the swing in motion, reaching the vertical position at its lowest point, where the sister is picked up. 3. The third diagram depicts the swing reaching a new angle of elevation (indicated with a question mark) after the sister has been picked up, showing a person with an additional figure (the sister). **Analysis:** To solve, apply principles of conservation of energy and physics of pendulums, considering the combined mass and new conditions after picking up the sister.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Momentum
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning