---
title: "Refer to the diagram above and solve all equations in terms of \\(R\\), \\(M\\), \\(k\\), and constants. What is the speed of mass \\(2M\\) as it reaches point \\(B\\)?"
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url: "https://nerd-notes.com/ubq/21446/"
date_modified: "2025-10-16T20:50:11+00:00"
---

# Refer to the diagram above and solve all equations in terms of \(R\), \(M\), \(k\), and constants. What is the speed of mass \(2M\) as it reaches point \(B\)?

Refer to the diagram above and solve all equations in terms of \(R\), \(M\), \(k\), and constants.

![Diagram](https://nerd-notes.com/wp-content/uploads/2023/12/Screenshot-2023-12-10-at-16.07.36-1024x542.png)

**Part a)** What is the speed of mass \(2M\) as it reaches point \(B\)? *(3 points)*

**Part b)** Calculate the tension in the string supporting mass \(2M\) as it reaches point \(B\). *(3 points)*

**Part c)** Mass \(2M\) collides with a smaller mass \(M\) at point \(B\). After the collision, mass \(2M\) has a speed equal to \(\frac{1}{3}\) its original value before the collision. What is the speed of mass \(M\) after the collision? *(3 points)*

**Part d)** Mass \(M\) then moves along the ground without friction with the speed found in #3 above, until it collides with the spring. Determine the maximum compression of the spring at point \(C\). *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/21446/*