### Physics Problem: Object Breaking Apart**Initial State (t = 0):**- An object with mass \(2M\) is depicted moving on a frictional surface.- Velocity of the object is \(v_0\) in opposite directions, indicating its potential to break apart symmetrically.- The coefficient of kinetic friction is \( \mu_k \).**Final State (t = \(\Delta t\)):**- The object has broken into two equal pieces, each with mass \(M\).- Both pieces slide to a stop over a distance \(L\).- The final velocity of each piece is zero (\(v = 0\)).**Problem Statement:**An object of mass \(2M\) breaks apart as illustrated. The two pieces slide to rest over a distance \(L\). In terms of \(\mu_k\), \(M\), \(g\), \(L\), and \(v_0\), determine the time, \(\Delta t\), required for this process.### Explanation:- **Diagram Details:** - **Initial (i):** Shows a single object before breaking. - **Final (f):** Depicts two separate masses, each traveling distance \(L\) to rest. This scenario involves understanding frictional force, motion equations, and using these to solve for time based on given initial conditions.

Answered: Image /qna-images/answer/f8f414c5-a87e-4ba5-8c94-09d3d07c275b.jpg

Answered: f t-ot AN OBJECT OF MASS 2m BREAKS…

f t-ot AN OBJECT OF MASS 2m BREAKS APART AS SHOWN, THE TWO PlECES SLIDE TO A REST IN THE DISTAN CE Lo IN TERMS oF MK, m, 9, L AND 2, WHAT IS THE TIME, Ot, IT TAKES FOR THIS PROCESS ?

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

### Physics Problem: Object Breaking Apart

**Initial State (t = 0):**

- An object with mass \(2M\) is depicted moving on a frictional surface.
- Velocity of the object is \(v_0\) in opposite directions, indicating its potential to break apart symmetrically.
- The coefficient of kinetic friction is \( \mu_k \).

**Final State (t = \(\Delta t\)):**

- The object has broken into two equal pieces, each with mass \(M\).
- Both pieces slide to a stop over a distance \(L\).
- The final velocity of each piece is zero (\(v = 0\)).

**Problem Statement:**

An object of mass \(2M\) breaks apart as illustrated. The two pieces slide to rest over a distance \(L\). In terms of \(\mu_k\), \(M\), \(g\), \(L\), and \(v_0\), determine the time, \(\Delta t\), required for this process.

### Explanation:

- **Diagram Details:**
- **Initial (i):** Shows a single object before breaking.
- **Final (f):** Depicts two separate masses, each traveling distance \(L\) to rest.

This scenario involves understanding frictional force, motion equations, and using these to solve for time based on given initial conditions.

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