### Problem StatementAn object of mass \(3M\), moving in the \(+x\) direction at speed \(v_0\), breaks into two pieces of mass \(M\) and \(2M\) as shown in the figure.If \(\theta_1 = 65.0^\circ\) and \(\theta_2 = -25.0^\circ\), determine the final velocities \(v_1\) and \(v_2\) of the resulting pieces in terms of \(v_0\).### Diagram ExplanationThe diagram shows:- A large blue sphere labeled \(3M\) moving to the right with velocity \(v_0\).- Upon breaking, it splits into: - A green sphere labeled \(2M\) moving upwards and to the right at an angle \(\theta_2 = -25.0^\circ\). Its velocity \(v_2\) is unknown. - An orange sphere labeled \(M\) moving downwards and to the right at an angle \(\theta_1 = 65.0^\circ\). Its velocity \(v_1\) is unknown.### Given Answers- \(v_1 = \frac{1.1}{v_0}\) (Incorrect)- \(v_2 = \frac{1.49}{v_0}\) (Incorrect)This setup represents a conservation of momentum problem where the initial momentum of the single object must equal the combined momenta of the two resulting objects. Each velocity component must be analyzed separately to solve for \(v_1\) and \(v_2\).

Answered: Image /qna-images/answer/a44e16c3-2b88-4b85-a7b1-11fd278231d5.jpg

An object of mass 3M, moving in the +x direction at speed Up. breaks into two pieces of mass M and 2M as shown in V, = ? 2M the figure. 3M If 0, = 65.0" and 0, = 25.0. determine the final velocities v %3D and vz of the resulting pieces in terms of tg. = ? 1.1 Incorrect 1.49 Incorrect

An object of mass 3M, moving in the +x direction at speed Up. breaks into two pieces of mass M and 2M as shown in V, = ? 2M the figure. 3M If 0, = 65.0" and 0, = 25.0. determine the final velocities v %3D and vz of the resulting pieces in terms of tg. = ? 1.1 Incorrect 1.49 Incorrect

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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