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A 3.1-kg sphere is suspended by a cord that passes over a 1.6-kg pulley of radius 3.9 cm. The cord is attached to a spring whose force constant isk = 86 N/m as in the figure below. Assume the pulley is a solid disk. www (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? (b) Find the speed of the sphere after it has fallen 25 cm. m/s

A 3.1-kg sphere is suspended by a cord that passes over a 1.6-kg pulley of radius 3.9 cm. The cord is attached to a spring whose force constant isk = 86 N/m as in the figure below. Assume the pulley is a solid disk. www (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? (b) Find the speed of the sphere after it has fallen 25 cm. m/s

Elements Of Electromagnetics
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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**Physics Problem: Spring and Pulley System** A 3.1-kg sphere is suspended by a cord that passes over a 1.6-kg pulley with a radius of 3.9 cm. The cord is attached to a spring with a force constant (k) of 86 N/m, as depicted in the diagram below. The pulley is assumed to be a solid disk. **Diagram Explanation:** - The diagram illustrates a system where a sphere (mass = m) is connected via a cord to a spring. - The cord loops over a pulley (mass = 1.6 kg, radius = 3.9 cm), which is mounted on a fixed support. - The spring (with a force constant of 86 N/m) is connected to the other end of the cord. **Questions:** (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? [Input box for answer in meters] (b) Find the speed of the sphere after it has fallen 25 cm. [Input box for answer in m/s]
Transcribed Image Text:**Physics Problem: Spring and Pulley System** A 3.1-kg sphere is suspended by a cord that passes over a 1.6-kg pulley with a radius of 3.9 cm. The cord is attached to a spring with a force constant (k) of 86 N/m, as depicted in the diagram below. The pulley is assumed to be a solid disk. **Diagram Explanation:** - The diagram illustrates a system where a sphere (mass = m) is connected via a cord to a spring. - The cord loops over a pulley (mass = 1.6 kg, radius = 3.9 cm), which is mounted on a fixed support. - The spring (with a force constant of 86 N/m) is connected to the other end of the cord. **Questions:** (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? [Input box for answer in meters] (b) Find the speed of the sphere after it has fallen 25 cm. [Input box for answer in m/s]
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