College Physics
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ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![**Problem Statement:**
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass \( m \), moves with velocity \( (-4.5 \, \text{m/s}) \, \hat{i} \) and a second piece, also of mass \( m \), moves with velocity \( (-4.5 \, \text{m/s}) \, \hat{j} \). The third piece has mass \( 3m \). Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece?
**Questions:**
(a) Magnitude of the velocity of the third piece:
- Number: [Input Box]
- Units: [Dropdown]
(b) Direction of the velocity (angle relative to the +x axis) of the third piece:
- Number: [Input Box]
- Units: [Dropdown]](https://content.bartleby.com/qna-images/question/27af745b-6d4f-4129-9ebf-5574c17547e0/6d05128b-6d90-4f6c-b024-6d3e96723c00/hhd754d_processed.jpeg)
Transcribed Image Text:**Problem Statement:**
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass \( m \), moves with velocity \( (-4.5 \, \text{m/s}) \, \hat{i} \) and a second piece, also of mass \( m \), moves with velocity \( (-4.5 \, \text{m/s}) \, \hat{j} \). The third piece has mass \( 3m \). Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece?
**Questions:**
(a) Magnitude of the velocity of the third piece:
- Number: [Input Box]
- Units: [Dropdown]
(b) Direction of the velocity (angle relative to the +x axis) of the third piece:
- Number: [Input Box]
- Units: [Dropdown]
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VIEW Step 2: Define Momentum and calculation for initial and final momentum of vessel.
VIEW Step 3: Calculation for velocity vector of mass 3m using law of conservation of momentum.
VIEW Step 4: Calculation for magnitude of velocity of mass 3m after explosion.
VIEW Step 5: Calculation for direction of velocity of mass 3m after explosion.
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