A 53.0 kg circus performer is to slide down a rope that will break if the tension exceeds 404 N. At what magnitude of acceleration does the performer just avoid breaking the rope?
A 53.0 kg circus performer is to slide down a rope that will break if the tension exceeds 404 N. At what magnitude of acceleration does the performer just avoid breaking the rope?
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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![**Problem Statement:**
A 53.0 kg circus performer is to slide down a rope that will break if the tension exceeds 404 N. At what magnitude of acceleration does the performer just avoid breaking the rope?
**Input Section:**
- **Number:** [ ___ ] (Input field for the numerical value)
- **Units:** [ ▼ ] (Dropdown menu to select the appropriate unit for the answer)
---
**Explanation:**
In this problem, students are required to calculate the acceleration at which a circus performer can slide down a rope without the tension in the rope exceeding 404 Newtons. This involves understanding the relationship between mass, acceleration, and tension within the context of Newton's laws of motion.
The formula to use here is:
\[ T = m(g - a) \]
where:
- \( T \) is the tension in the rope.
- \( m \) is the mass of the performer.
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, m/s^2 \)).
- \( a \) is the acceleration of the performer down the rope.
Students should solve for \( a \) when \( T = 404 \, N \) to determine the largest possible magnitude of acceleration without exceeding the breaking tension.
No graphs or diagrams are provided in this problem statement; it is purely text-based with numeric input fields. Students should ensure the accuracy of their units when submitting their answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78e5d1b8-f110-43bf-9db4-23af6b06271f%2F9ae976ee-21e0-440c-8180-a141559cf15a%2Fthkuc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A 53.0 kg circus performer is to slide down a rope that will break if the tension exceeds 404 N. At what magnitude of acceleration does the performer just avoid breaking the rope?
**Input Section:**
- **Number:** [ ___ ] (Input field for the numerical value)
- **Units:** [ ▼ ] (Dropdown menu to select the appropriate unit for the answer)
---
**Explanation:**
In this problem, students are required to calculate the acceleration at which a circus performer can slide down a rope without the tension in the rope exceeding 404 Newtons. This involves understanding the relationship between mass, acceleration, and tension within the context of Newton's laws of motion.
The formula to use here is:
\[ T = m(g - a) \]
where:
- \( T \) is the tension in the rope.
- \( m \) is the mass of the performer.
- \( g \) is the acceleration due to gravity (approximately \( 9.8 \, m/s^2 \)).
- \( a \) is the acceleration of the performer down the rope.
Students should solve for \( a \) when \( T = 404 \, N \) to determine the largest possible magnitude of acceleration without exceeding the breaking tension.
No graphs or diagrams are provided in this problem statement; it is purely text-based with numeric input fields. Students should ensure the accuracy of their units when submitting their answer.
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