| This beta version only allows for one set of user inputs: the
mass of the red ball, the velocity of the red ball before the |
| the collision (v), the velocity of the red ball after the collision
(v'), the mass of the blue ball, the velocity of the blue ball |
| before the collision, and the angle of the path of the red ball after
the collision. Pressing Play the first time, the kinetic |
| energy of each ball is displayed and pressing Play
a second time displays the animation. For the remaining values to be |
| displayed, press Pause after the collision of
the red and blue ball. If you are wondering where the blue ball is, it
is |
| safely tucked away beneath the black ball. The black ball and its path
represents the velocity of the red ball before the |
| collision and the red and blue ball represent themselves after the collision.
The initial X Position of the red and blue ball |
| assume default positions which are also user selectable. To resize the
animation, enter the grid and pixel units, and press |
| Settings before pressing Play. |
| |
| For the system described above, the kinetic energy is conserved. Mathematically
this is expressed as: |
| |
|
ΔKE = 0 |
|
KEi = KEf |
|
1/2m1v12 + 1/2m2v22
= 1/2m1v1'2 + 1/2m2v2'2 |
| |
| This situation can be somewhat approximated in the case of billiard
balls. If the rolling friction is minimal and the sound of the collision
is minimal, the collision will approximate an elastic collision. |
| |
| 1) A ball with a mass of 5.0 kg moves to the right with a speed of 4.0
m/s and collides with a stationary ball whose mass |
| 5.0 kg. The collision is not head-on and after
the collision the first ball moves in a direction of 45° to the left
of its |
| original path with a velocity of 2.8 m/s. The
second ball moves in a direction of 45° below the horizontal. |
| (a) Determine the velocity of each ball after
the collision. |
| (b) Determine the momentum of each ball after
the collision. |
| |
| 2) The stationary 8 ball with a mass of 0.16 kg is struck by the cue
ball moving at 5.0 m/s. After the collision, the cue ball |
| moves in a direction 60° to the left of
its original path while the 8 ball moves in a direction of 30° below
the |
| horizontal. The mass of the cue ball has the
same mass as the 8 ball. What is the velocity of each ball after the |
| collision? |
