Momentum and Collision Analysis

The video tutorial explains a momentum problem involving two balls colliding on a pool table. Ball A, with a mass of 10 kg, moves at 3 m/s and collides with ball B, which has a mass of 5 kg. After the collision, ball A moves at a 30-degree angle at 2 m/s. The tutorial demonstrates how to calculate the velocity of ball B by conserving momentum in both x and y directions. It involves breaking down the velocities into components, using trigonometry, and applying the conservation of momentum principle to solve for the unknowns.

What is the mass of ball A in the problem?

• 5 kg

• 20 kg

• 10 kg

• 15 kg

In which direction is ball A initially moving?

• Up

• Right

• Down

• Left

What is the key principle used to solve the problem in two dimensions?

• Conservation of energy

• Conservation of momentum

• Conservation of mass

• Conservation of velocity

How do you determine the initial momentum in two dimensions?

• By ignoring the mass

• By breaking it into x and y components

• By considering only the y direction

• By considering only the x direction

What is the initial momentum of ball A in the x direction?

• 20 kg m/s

• 30 kg m/s

• 10 kg m/s

• 40 kg m/s

What is the velocity of ball A in the y direction after the collision?

• 2 m/s

• 1 m/s

• 3 m/s

• 0 m/s

What is the velocity of ball B in the y direction after the collision?

• 1 m/s

• 2 m/s

• 4 m/s

• 3 m/s

What is the momentum of ball B in the y direction after the collision?

• 15 kg m/s

• 10 kg m/s

• 5 kg m/s

• 20 kg m/s

What is the velocity of ball B in the x direction after the collision?

• 4.54 m/s

• 2.54 m/s

• 1.54 m/s

• 3.54 m/s

What is the final step to find the angle of ball B's velocity?

• Use arc tangent function

• Use sine function

• Use cosine function

• Use tangent function