The ball B shown in the figure has a mass of 1.5 kg and is suspended from the ceiling by a 1 m long elastic cord. If the cord is stretched downward 0.25 m and the ball is released from rest, determine how far the cord stretches after the ball rebounds from the ceiling. The stiffness of the cord is k = 800 N/m and the coefficient of restitution between the ball and ceiling is e = 0.8. The ball makes a central impact with the ceiling. ### Transcription for Educational ContextThis diagram illustrates a system involving a spring and two masses. The key features are described below:- **Spring Constant (k):** The spring has a stiffness characterized by a spring constant of \( k = 800 \, \text{N/m} \).- **Masses:** The system consists of two spherical masses positioned vertically. The top mass is connected to a datum line, which serves as a reference point for measuring displacement.- **Displacement (y):** The distance from the datum to the lower mass \( B \) is given by the equation \( y = (1 + 0.25) \, \text{m} \). This indicates that the total displacement from the datum is 1.25 meters.- **Datum:** The datum is a horizontal reference line from which vertical displacements are measured.In this configuration, the spring likely acts on the upper mass, exerting a force based on Hooke's Law. The equation for displacement assists in calculating potential energy or analyzing the dynamic behavior of the mass-spring system.

Given that this problem has 3 part as a) Conservation from energy from start to impact b) impact…

Answered: The ball B shown in the figure has a…

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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The ball B shown in the figure has a mass of 1.5 kg and is suspended from the ceiling by a 1 m long elastic cord. If the cord is stretched downward 0.25 m and the ball is released from rest, determine how far the cord stretches after the ball rebounds from the ceiling. The stiffness of the cord is k = 800 N/m and the coefficient of restitution between the ball and ceiling is e = 0.8. The ball makes a central impact with the ceiling.

### Transcription for Educational Context

This diagram illustrates a system involving a spring and two masses. The key features are described below:

- **Spring Constant (k):** The spring has a stiffness characterized by a spring constant of \( k = 800 \, \text{N/m} \).

- **Masses:** The system consists of two spherical masses positioned vertically. The top mass is connected to a datum line, which serves as a reference point for measuring displacement.

- **Displacement (y):** The distance from the datum to the lower mass \( B \) is given by the equation \( y = (1 + 0.25) \, \text{m} \). This indicates that the total displacement from the datum is 1.25 meters.

- **Datum:** The datum is a horizontal reference line from which vertical displacements are measured.

In this configuration, the spring likely acts on the upper mass, exerting a force based on Hooke's Law. The equation for displacement assists in calculating potential energy or analyzing the dynamic behavior of the mass-spring system.

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