2D Conservation of Momentum Example using Air Hockey Discs

The video tutorial covers a two-dimensional conservation of momentum problem using air hockey disks. It begins with setting up the problem, followed by calculating velocity components using trigonometry. The conservation of momentum is applied in both x and y directions to find the final velocity of the red disk. The tutorial also analyzes whether the collision is elastic by checking the conservation of kinetic energy. The session concludes with a light-hearted discussion about Movie Character Day costumes.

What is the mass of the yellow air hockey disk?

• 28.8 grams

• 33.6 grams

• 26.9 grams

• 10.7 grams

In which direction is the initial velocity of the yellow disk?

• Y direction

• X direction

• South of East

• North of East

What is the final velocity of the yellow disk in the x-direction after the collision?

• 10.2432 cm/s

• 4.7910 cm/s

• 30.8438 cm/s

• 9.5675 cm/s

How is the final velocity of the red disk calculated in the x-direction?

• By adding the initial velocities of both disks

• By subtracting the final velocity of disk 1 from its initial velocity

• By dividing the mass of disk 1 by the mass of disk 2

• By multiplying the initial velocity of disk 2 by its mass

What is the final velocity of the red disk in the y-direction?

• 10.2432 cm/s

• 4.7910 cm/s

• 9.5675 cm/s

• 30.8438 cm/s

What is the predicted final velocity of the red disk?

• 10.7 cm/s at 18.4 degrees North of East

• 33.6 cm/s at 63.4 degrees South of East

• 32.0 cm/s at 13 degrees North of East

• 32.5 cm/s at 18.4 degrees North of East

What condition must be met for a collision to be considered elastic?

• Momentum must be conserved

• Kinetic energy must be conserved

• Mass must be equal

• Velocity must be constant

What was the percentage of kinetic energy dissipated during the collision?

• 18.4%

• 0%

• 10.24%

• 5.14%

Why did Mr. P convert the energy values to millijoules?

• To match the SI units

• To make calculations easier

• To simplify the problem

• To practice unit conversions

Who did Mr. P dress up as for Movie Character Day?

• Himself

• Fix-It Felix

• Zoolander

• Barry B Benson