An object of mass 3M, moving in the +x direction at speed Vo, breaks into two pieces of mass M and 2M as shown in the figure. If 0₁ = 64.0° and 9₂ = 20.0°, determine the final velocities U₁ and ₂ of the resulting pieces in terms of vo
An object of mass 3M, moving in the +x direction at speed Vo, breaks into two pieces of mass M and 2M as shown in the figure. If 0₁ = 64.0° and 9₂ = 20.0°, determine the final velocities U₁ and ₂ of the resulting pieces in terms of vo
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Chapter1: Units, Trigonometry. And Vectors
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![**Physics Problem: Motion and Collision**
An 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.
**Objective:**
If \(\theta_1 = 64.0^\circ\) and \(\theta_2 = 20.0^\circ\), determine the final velocities \(v_1\) and \(v_2\) of the resulting pieces in terms of \(v_0\).
**Diagram Explanation:**
- The initial object with mass \(3M\) moves to the right with velocity \(v_0\).
- After breaking, one piece with mass \(2M\) moves at an angle \(\theta_2\) above the x-axis with unknown velocity \(v_2\).
- The other piece with mass \(M\) moves at an angle \(\theta_1\) below the x-axis with unknown velocity \(v_1\).
**Equations:**
\[ v_1 = \_\_\_ \times v_0 \]
\[ v_2 = \_\_\_ \times v_0 \]
The problem is to find the expressions for \(v_1\) and \(v_2\) in terms of the initial speed \(v_0\) using the laws of conservation of momentum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9081bc6b-9817-477c-9b8d-7c2dcc8c93d8%2Fd8b099d4-a3aa-418a-8480-f9d6b7909c54%2Fxj4orw8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Problem: Motion and Collision**
An 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.
**Objective:**
If \(\theta_1 = 64.0^\circ\) and \(\theta_2 = 20.0^\circ\), determine the final velocities \(v_1\) and \(v_2\) of the resulting pieces in terms of \(v_0\).
**Diagram Explanation:**
- The initial object with mass \(3M\) moves to the right with velocity \(v_0\).
- After breaking, one piece with mass \(2M\) moves at an angle \(\theta_2\) above the x-axis with unknown velocity \(v_2\).
- The other piece with mass \(M\) moves at an angle \(\theta_1\) below the x-axis with unknown velocity \(v_1\).
**Equations:**
\[ v_1 = \_\_\_ \times v_0 \]
\[ v_2 = \_\_\_ \times v_0 \]
The problem is to find the expressions for \(v_1\) and \(v_2\) in terms of the initial speed \(v_0\) using the laws of conservation of momentum.
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