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 vi = 4.40 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 8 = 40.0° with the horizontal axis while the green disk makes an angle of = 50.0° with this axis as in Figure b. Determine the speed of each disk after the collision. of=1 m/s m/s Vgf= Before the collision After the collision. of

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### Collision of Two Shuffleboard Disks

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 \( v_{\text{oi}} = 4.40 \, \text{m/s} \).

**Figure Description:**

**Figure (a): Before the collision**
- The orange disk is moving horizontally with velocity \( \vec{v}_{\text{oi}} \).
- The green disk is stationary.

**Figure (b): After the collision**
- The orange disk moves at an angle \( \theta = 40.0^\circ \) with the horizontal axis, with velocity \( \vec{v}_{\text{of}} \).
- The green disk moves at an angle \( \phi = 50.0^\circ \) with the horizontal axis, with velocity \( \vec{v}_{\text{gf}} \).

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

**Variables to determine:**
- \( v_{\text{of}} \) = __________ m/s (Speed of the orange disk after the collision)
- \( v_{\text{gf}} \) = __________ m/s (Speed of the green disk after the collision)

Use principles of conservation of momentum and energy to solve the problem, considering the angles and velocities involved.
Transcribed Image Text:### Collision of Two Shuffleboard Disks 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 \( v_{\text{oi}} = 4.40 \, \text{m/s} \). **Figure Description:** **Figure (a): Before the collision** - The orange disk is moving horizontally with velocity \( \vec{v}_{\text{oi}} \). - The green disk is stationary. **Figure (b): After the collision** - The orange disk moves at an angle \( \theta = 40.0^\circ \) with the horizontal axis, with velocity \( \vec{v}_{\text{of}} \). - The green disk moves at an angle \( \phi = 50.0^\circ \) with the horizontal axis, with velocity \( \vec{v}_{\text{gf}} \). **Objective:** Determine the speed of each disk after the collision. **Variables to determine:** - \( v_{\text{of}} \) = __________ m/s (Speed of the orange disk after the collision) - \( v_{\text{gf}} \) = __________ m/s (Speed of the green disk after the collision) Use principles of conservation of momentum and energy to solve the problem, considering the angles and velocities involved.
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