Answer:
The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.
Explanation:
In this case, we see a two-dimension system formed by two shuffleboard disks, which do not experiment any effect from external forces, so that the Principle of Linear Momentum can be applied. The equations of equilibrium are respectively:
(Eq. 1)
Where:
,
- Masses of the yellow and orange shuffleboard disks, measured in kilograms.
,
- Initial vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.
,
- Final vectors velocity of the yellow and orange shuffleboard disks, measured in meters per second.
If we know that , then the system is now reduced into this form:
(Eq. 2)
Given that ,
,
and
, then we find these two equations of equilibrium:
x-Direction:
(Eq. 3)
y-Direction:
(Eq. 4)
The solution of this system of linear equations is:
and
The final speeds of the yellow and orange shuffleboard disks are 3.015 meters per second and 3.989 meters per second, respectively.