Conservation of Momentum using Unit Vectors

The video tutorial explores the physics of a Nerd-A-Pult system, focusing on the conservation of momentum. Initially, the problem is set up with a ball launched from a stationary Nerd-A-Pult. The tutorial explains how internal forces in the x-y plane conserve momentum, leading to the calculation of the Nerd-A-Pult's final velocity. The solution involves substituting mass and velocity into the momentum equation. The tutorial concludes with a discussion on the results, emphasizing the consistency of physics principles.

What is the initial velocity of both the ball and the Nerd-A-Pult before the launch?

• 300 cm/s

• 0 cm/s

• 100 cm/s

• 200 cm/s

Why is the net force acting on the Nerd-A-Pult and ball system considered zero in the x-y plane?

• Because the system is moving upwards

• Because gravity is not acting

• Because all forces are internal in the x-y plane

• Because external forces are acting

What principle is used to solve for the final velocity of the Nerd-A-Pult?

• Conservation of Energy

• Newton's First Law

• Conservation of Mass

• Conservation of Momentum

What is the observed final velocity of the Nerd-A-Pult?

• 14.0i - 7.00j cm/s

• 15.0i - 8.00j cm/s

• 12.9i - 6.60j cm/s

• 13.0i - 6.60j cm/s

Why do the ratios of the y and x velocity components of the ball and Nerd-A-Pult equal the same number?

• Because they have different angles

• Because they are moving at the same angle

• Because they have the same speed

• Because they are moving in the same direction

What does the tangent of the angle describe in terms of velocity components?

• The ratio of y to x velocity components

• The sum of velocities

• The difference in velocities

• The product of velocities

What is the significance of the angles being the same for both the ball and the Nerd-A-Pult?

• It means they are moving in the same direction

• It means they have the same speed

• It means they have different speeds

• It means the tangent of their angles is the same