A puck with a mass m=0.15 kg has an initial speed of vpi=10.54 m/s at an angle of theta =30.9 degrees with respect to the x-axis. The puck hits a stick with a mass ms=0.24 kg which is initially at rest as indicated in the figure. The puck leaves with a speed of vpf=4.09 m/s at an angle phi=40 degrees with respect to the y-axis. The collision occurs on ice, so friction can be neglected during the collision. How do I find the x and y components of the final velocity of the center of mass of the stick and the change in the translational kinetic energy of the Puck +Stick system?
A puck with a mass m=0.15 kg has an initial speed of vpi=10.54 m/s at an angle of theta =30.9 degrees with respect to the x-axis. The puck hits a stick with a mass ms=0.24 kg which is initially at rest as indicated in the figure. The puck leaves with a speed of vpf=4.09 m/s at an angle phi=40 degrees with respect to the y-axis. The collision occurs on ice, so friction can be neglected during the collision. How do I find the x and y components of the final velocity of the center of mass of the stick and the change in the translational kinetic energy of the Puck +Stick system?
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A puck with a mass m=0.15 kg has an initial speed of vpi=10.54 m/s at an angle of theta =30.9 degrees with respect to the x-axis. The puck hits a stick with a mass ms=0.24 kg which is initially at rest as indicated in the figure. The puck leaves with a speed of vpf=4.09 m/s at an angle phi=40 degrees with respect to the y-axis. The collision occurs on ice, so friction can be neglected during the collision.
How do I find the x and y components of the final velocity of the center of mass of the stick and the change in the translational kinetic energy of the Puck +Stick system?

Transcribed Image Text:The image depicts a two-dimensional coordinate system with axes labeled \(x\) and \(y\). In the diagram, a vector is shown originating from the origin, represented by an arrow. This vector forms two angles with the x-axis.
- **Angle \(\theta\)**: This angle is formed between the vector and a line parallel to the x-axis, indicating the initial vector direction towards the circular path.
- **Angle \(\phi\)**: This angle is measured from the vertical line (aligned with the y-axis) to the vector. It represents the orientation of the vector concerning the y-axis.
The circular symbol at the base of the vector suggests a point of origin or pivot, from which the vector is projected. The thin vertical line, which the vector appears to rebound off, can indicate a surface or barrier, emphasizing the reflection or change in direction of the vector. The angles \(\theta\) and \(\phi\) are crucial for understanding the vector's initial and resulting direction.
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