Two-Dimensional Collision Problems

The video tutorial explains a two-dimensional collision problem involving two balls on a frictionless surface. It covers the given data, including masses and velocities, and uses the conservation of linear momentum to solve for the final velocity of one ball. The tutorial breaks down vectors into x and y components, applies trigonometry, and solves equations to find unknowns. The final solution provides the magnitude and direction of the ball's velocity after the collision.

What is the mass of ball one in the collision problem?

• 0.4 kg

• 0.3 kg

• 0.2 kg

• 0.1 kg

What is the initial velocity of ball two before the collision?

• 0.3 m/s

• 0.5 m/s

• 0.7 m/s

• 0.9 m/s

Which force is not doing any work on the frictionless surface?

• Gravitational force

• Normal force

• Friction

• Tension

Under what condition can we use the conservation of linear momentum?

• When friction is present

• When external forces are present

• When the surface is rough

• When work done by non-conservative forces is zero

How can we treat the components of linear momentum in a two-dimensional problem?

• As a single vector

• By ignoring the y-component

• Separately for x and y directions

• By only considering the x-component

What theorem is used to find the magnitude of the final velocity vector?

• Pythagorean theorem

• Binomial theorem

• Fundamental theorem of calculus

• Remainder theorem

What trigonometric function is used to find the angle theta?

• Sine

• Cosine

• Tangent

• Cotangent

What is the initial x-component of ball one's velocity?

• v1 initial * sin(75°)

• v1 initial * cos(75°)

• v1 initial * tan(75°)

• v1 initial * cot(75°)

What is the final y-component of ball two's velocity?

• -v2 final * cos(85°)

• v2 final * sin(85°)

• v2 final * tan(85°)

• -v2 final * sin(85°)

What is the magnitude of the final velocity of ball one?

• 0.49 m/s

• 0.69 m/s

• 0.79 m/s

• 0.59 m/s