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 Voi = 7.40 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of 0 = 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. Vof = m/s Vaf = m/s After the collision Before the collision a

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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 \(v_{oi} = 7.40 \, \text{m/s}\) as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of \(\theta = 40.0^\circ\) with the horizontal axis while the green disk makes an angle of \(\phi = 50.0^\circ\) with this axis as in Figure b. Determine the speed of each disk after the collision.

\[ v_{of} = \, \text{m/s} \]
\[ v_{gf} = \, \text{m/s} \]

### Diagrams

**Before the Collision (Figure a)**
- The orange disk is shown moving to the right with velocity \( v_{oi} \).
- The green disk is at rest.

**After the Collision (Figure b)**
- The orange disk travels at an angle \(\theta = 40.0^\circ\) with velocity \( v_{of} \).
- The green disk travels at an angle \(\phi = 50.0^\circ\) with velocity \( v_{gf} \).
- The angles are measured with respect to the horizontal axis.
Transcribed Image Text: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 \(v_{oi} = 7.40 \, \text{m/s}\) as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of \(\theta = 40.0^\circ\) with the horizontal axis while the green disk makes an angle of \(\phi = 50.0^\circ\) with this axis as in Figure b. Determine the speed of each disk after the collision. \[ v_{of} = \, \text{m/s} \] \[ v_{gf} = \, \text{m/s} \] ### Diagrams **Before the Collision (Figure a)** - The orange disk is shown moving to the right with velocity \( v_{oi} \). - The green disk is at rest. **After the Collision (Figure b)** - The orange disk travels at an angle \(\theta = 40.0^\circ\) with velocity \( v_{of} \). - The green disk travels at an angle \(\phi = 50.0^\circ\) with velocity \( v_{gf} \). - The angles are measured with respect to the horizontal axis.
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