An object of mass 3M, moving in the +x direction at speed o, breaks into two pieces of mass M and 2M as shown in the figure. If 0₁ = 64.0° and 9₂ ₁ and 2 of the resulting pieces in terms of Uo- - 20.0°, determine the final velocities
An object of mass 3M, moving in the +x direction at speed o, breaks into two pieces of mass M and 2M as shown in the figure. If 0₁ = 64.0° and 9₂ ₁ and 2 of the resulting pieces in terms of Uo- - 20.0°, determine the final velocities
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![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.
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 \(v_0\).
\[
v_1 = \_\_\_\_ \, v_0
\]
\[
v_2 = \_\_\_\_ \, v_0
\]
**Diagram Details:**
- The initial object of mass \(3M\) is represented by a blue sphere moving to the right with velocity \(v_0\).
- After the break, there are two smaller spheres:
- The green sphere has a mass of \(2M\) and is moving at an unknown velocity \(v_2\) at an angle \(\theta_2 = 20.0^\circ\).
- The orange sphere has a mass of \(M\) and is moving at an unknown velocity \(v_1\) at an angle \(\theta_1 = 64.0^\circ\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9081bc6b-9817-477c-9b8d-7c2dcc8c93d8%2F3c7e90b7-db46-46b4-8ee8-ab6a064d26c2%2Flwywofa_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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 \(v_0\).
\[
v_1 = \_\_\_\_ \, v_0
\]
\[
v_2 = \_\_\_\_ \, v_0
\]
**Diagram Details:**
- The initial object of mass \(3M\) is represented by a blue sphere moving to the right with velocity \(v_0\).
- After the break, there are two smaller spheres:
- The green sphere has a mass of \(2M\) and is moving at an unknown velocity \(v_2\) at an angle \(\theta_2 = 20.0^\circ\).
- The orange sphere has a mass of \(M\) and is moving at an unknown velocity \(v_1\) at an angle \(\theta_1 = 64.0^\circ\).
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