Small sphere: mass = 4 kg, radius = 50 mm Collision happens as seen in figure below. e = 0.4 a-) Determine the velocities of the spheres after the collision. b-) Find out the angles between the velocity vectors (after impact) and horizontal axis for both spheres.
Small sphere: mass = 4 kg, radius = 50 mm Collision happens as seen in figure below. e = 0.4 a-) Determine the velocities of the spheres after the collision. b-) Find out the angles between the velocity vectors (after impact) and horizontal axis for both spheres.
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Transcribed Image Text:## Group 1:
### Problem Statement:
1. Large sphere:
- Mass = 23 kg
- Radius = 75 mm
Small sphere:
- Mass = 4 kg
- Radius = 50 mm
2. Collision happens as seen in the figure below.
3. Coefficient of restitution (e) = 0.4
### Tasks:
a) Determine the velocities of the spheres after the collision.
b) Find out the angles between the velocity vectors (after impact) and the horizontal axis for both spheres.
### Diagram Explanation:
The diagram shows two spheres before the collision:
- The large sphere is moving to the right with a velocity of 4 m/s.
- The small sphere is moving to the left with a velocity of 12 m/s.
- The distance between the centers of the two spheres is noted to be 75 mm, just before the collision.
### Author:
Murat Saribay
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Step 1: Given that:
VIEWStep 2: Collision diagram:
VIEWStep 3: Use of momentum conservation:
VIEWStep 4: Use of Coefficient of restitution e:
VIEWStep 5: Momentum conservation along the perpendicular to the LOI:
VIEWStep 6: Calculation of velocity and angle for larger mass m(1):
VIEWStep 7: Calculation of velocity and angle for larger mass m(2):
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