Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly elastic glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at vo = 5.60 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 38.0° with the horizontal axis while the green disk makes an angle of q = 52.0° with this axis as in Figure b. Determine the speed of each disk after the collision. Vof= m/s |m/s After the collision Before the collision -x

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**Elastic Collision of Shuffleboard Disks**

**Scenario:**
Two shuffleboard disks of equal mass - one orange and the other green - are involved in a perfectly elastic glancing collision.

- Initial Conditions: 
    - The green disk is initially at rest.
    - The orange disk is moving initially to the right with a velocity \( \vec{v}_{Oi} = 5.60 \, \text{m/s} \).

**Objective:**
After the collision, the motion of both disks is altered as follows:
- The orange disk moves at an angle \( \theta = 38.0^\circ \) with the horizontal axis.
- The green disk moves at an angle \( \varphi = 52.0^\circ \) with the horizontal axis.

**Task:**
Determine the speed of each disk after the collision.

**Diagram Description:**

- **Figure a (Before the collision):**
    - The orange disk is shown moving to the right along the horizontal axis with an initial velocity \( \vec{v}_{Oi} \).
    - The green disk is shown at rest, positioned on the right side of the diagram.

- **Figure b (After the collision):**
    - The orange disk is shown moving upward and to the right, making an angle \( \theta \) of \( 38.0^\circ \) with the horizontal axis.
    - The green disk is shown moving downward and to the right, making an angle \( \varphi \) of \( 52.0^\circ \) with the horizontal axis.
    - The paths of both disks are depicted as dotted lines indicating their direction of motion.

**Speed Determination:**

To find the speeds of both disks after the collision, we need to solve for:
\[ v_{Of} = \, ? \, \text{m/s} \]
\[ v_{Gf} = \, ? \, \text{m/s} \]

These speeds can be determined using the principles of conservation of momentum and kinetic energy, given that the collision is perfectly elastic.

(Note: Instead of providing a step-by-step solution, as might be found in an actual educational resource, this outline is intended to guide students or educators in setting up and solving the problem.)
Transcribed Image Text:**Elastic Collision of Shuffleboard Disks** **Scenario:** Two shuffleboard disks of equal mass - one orange and the other green - are involved in a perfectly elastic glancing collision. - Initial Conditions: - The green disk is initially at rest. - The orange disk is moving initially to the right with a velocity \( \vec{v}_{Oi} = 5.60 \, \text{m/s} \). **Objective:** After the collision, the motion of both disks is altered as follows: - The orange disk moves at an angle \( \theta = 38.0^\circ \) with the horizontal axis. - The green disk moves at an angle \( \varphi = 52.0^\circ \) with the horizontal axis. **Task:** Determine the speed of each disk after the collision. **Diagram Description:** - **Figure a (Before the collision):** - The orange disk is shown moving to the right along the horizontal axis with an initial velocity \( \vec{v}_{Oi} \). - The green disk is shown at rest, positioned on the right side of the diagram. - **Figure b (After the collision):** - The orange disk is shown moving upward and to the right, making an angle \( \theta \) of \( 38.0^\circ \) with the horizontal axis. - The green disk is shown moving downward and to the right, making an angle \( \varphi \) of \( 52.0^\circ \) with the horizontal axis. - The paths of both disks are depicted as dotted lines indicating their direction of motion. **Speed Determination:** To find the speeds of both disks after the collision, we need to solve for: \[ v_{Of} = \, ? \, \text{m/s} \] \[ v_{Gf} = \, ? \, \text{m/s} \] These speeds can be determined using the principles of conservation of momentum and kinetic energy, given that the collision is perfectly elastic. (Note: Instead of providing a step-by-step solution, as might be found in an actual educational resource, this outline is intended to guide students or educators in setting up and solving the problem.)
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