Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 9m, m1 = 0.047 kg, and h= 0.68 m, what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) m/s Vif V2f m/s m2 h
Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 9m, m1 = 0.047 kg, and h= 0.68 m, what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) m/s Vif V2f m/s m2 h
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Transcribed Image Text:Initially, ball 1 rests on an incline of height \( h \), and ball 2 rests on an incline of height \( h/2 \) as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If \( m_2 = 9m_1 \), \( m_1 = 0.047 \, \text{kg} \), and \( h = 0.68 \, \text{m} \), what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[
v_{1f} = \, \_\_\_\_ \, \text{m/s}
\]
\[
v_{2f} = \, \_\_\_\_ \, \text{m/s}
\]
**Diagram:**
- The diagram shows an inclined plane track with two balls, \( m_1 \) and \( m_2 \), positioned on opposite sides.
- Ball 1 (\( m_1 \)) is on the left at height \( h \).
- Ball 2 (\( m_2 \)) is on the right at height \( h/2 \).
- Both balls will travel down their respective inclines into a trough.
**Key Details:**
- \( m_1 = 0.047 \, \text{kg} \)
- \( m_2 = 9 \times m_1 = 0.423 \, \text{kg} \)
- Heights: \( h = 0.68 \, \text{m} \), \( h/2 = 0.34 \, \text{m} \)
- Goal: Find \( v_{1f} \) and \( v_{2f} \), the final velocities of ball 1 and ball 2 respectively after the collision.
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![Initially, ball 1 rests on an incline of height \( h \), and ball 2 rests on an incline of height \( h/2 \) as shown in the figure below. They are released from rest simultaneously and collide elastically in the trough of the track. If \( m_2 = 9m_1 \), \( m_1 = 0.047 \, \text{kg} \), and \( h = 0.68 \, \text{m} \), what is the velocity of each ball after the collision? (Assume the balls slide but do not roll. Indicate the direction with the sign of your answer. Positive is to the right, and negative is to the left. Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.)
\[
v_{1f} = \, \_\_\_\_ \, \text{m/s}
\]
\[
v_{2f} = \, \_\_\_\_ \, \text{m/s}
\]
**Diagram:**
- The diagram shows an inclined plane track with two balls, \( m_1 \) and \( m_2 \), positioned on opposite sides.
- Ball 1 (\( m_1 \)) is on the left at height \( h \).
- Ball 2 (\( m_2 \)) is on the right at height \( h/2 \).
- Both balls will travel down their respective inclines into a trough.
**Key Details:**
- \( m_1 = 0.047 \, \text{kg} \)
- \( m_2 = 9 \times m_1 = 0.423 \, \text{kg} \)
- Heights: \( h = 0.68 \, \text{m} \), \( h/2 = 0.34 \, \text{m} \)
- Goal: Find \( v_{1f} \) and \( v_{2f} \), the final velocities of ball 1 and ball 2 respectively after the collision.](https://content.bartleby.com/qna-images/question/afa4cb6f-0c50-4ba8-9a03-e3918106ad13/ea78a9be-27df-4012-b0f6-ab66fb80e6db/dz4h2aq_processed.jpeg)
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