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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Question
![**Problem Statement:**
An Atwood's machine with a frictionless pulley has mass1 = 5.9 kg and is accelerating up at 3 m/s². What is the value of mass2?
**Solution Explanation:**
In an Atwood's machine, two masses are connected over a pulley, and the difference in their weights causes them to accelerate. Since the pulley is frictionless, we can use Newton's second law to solve for the unknown mass.
Given:
- Mass1 (m1) = 5.9 kg
- Acceleration (a) = 3 m/s²
To find mass2 (m2), we use the equation of motion for Atwood's machine:
\[ (m2 - m1) \times g = (m1 + m2) \times a \]
Where:
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²).
By rearranging and solving this equation for m2, you can find the value of the second mass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde10ac4d-a71c-4404-a6a7-5da9829e3a85%2F7ecc7514-54ac-47b3-bf78-f8f41dd4b5e0%2Fg2xeul_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
An Atwood's machine with a frictionless pulley has mass1 = 5.9 kg and is accelerating up at 3 m/s². What is the value of mass2?
**Solution Explanation:**
In an Atwood's machine, two masses are connected over a pulley, and the difference in their weights causes them to accelerate. Since the pulley is frictionless, we can use Newton's second law to solve for the unknown mass.
Given:
- Mass1 (m1) = 5.9 kg
- Acceleration (a) = 3 m/s²
To find mass2 (m2), we use the equation of motion for Atwood's machine:
\[ (m2 - m1) \times g = (m1 + m2) \times a \]
Where:
- \( g \) is the acceleration due to gravity (approximately 9.8 m/s²).
By rearranging and solving this equation for m2, you can find the value of the second mass.
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