Linear Momentum Progress Check Review

A toy car of mass m = 4 kg moves across a surface in a straight line. The kinetic energy of the car changes from 10 J to 22 J while the car is in motion. What is the change in the velocity of the car?

• 1 m/s

• 2 m/s

• 3 m/s

• 4 m/s

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

Two identical objects move along perpendicular paths with different speeds of v₁ and v₂. What is the magnitude of the velocity of the center of mass of the two-object system?

A block of mass M is initially moving to the right with a speed v₀ towards a second block of mass 2M which is at rest. The blocks collide elastically, and the more massive block slides up a curved incline and reaches a maximum height hₘₐₓ before sliding down the incline. There is negligible friction between both blocks and the horizontal and inclined surfaces. Which of the following is a correct expression for hₘₐₓ?

• v₀²/18g

• v₀²/8g

• 2v₀²/9g

• v₀²/2g

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-2

NGSS.HS-PS3-1

A uniform solid sphere of radius R is rolling without slipping with a speed v. What is the magnitude of the momentum of a new uniform sphere made of the same material with half the radius and having three times the speed of the first sphere?

• 3p/2

• 3p

• 6p

• 9p

Tags

NGSS.HS-PS2-2

Tags

NGSS.HS-PS2-2

A 5-kg cart is moving horizontally with a speed of 3 m/s just before it collides with a non-ideal spring attached to a second cart of unknown mass which is initially at rest. The graph shows the magnitude of the force the spring exerts on the 5-kg cart as a function of time. What is the velocity of the 5-kg cart just after losing contact with the spring?

• 1.4 m/s

• 2.2 m/s

• 3.8 m/s

• 4.6 m/s

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-2

Two blocks, A and B, are at rest on a horizontal surface. A spring is attached to Block B and is compressed when the blocks are held together. The blocks are then simultaneously released and move in opposite directions along the surface with negligible friction. Which of the following correctly indicates how the total kinetic energy and total momentum of the spring-two-cart system change as the blocks move away from each other just after they are released compared to these quantities before they are released?

• Total Kinetic Energy: Increases, Total Momentum: Stays the same

• Total Kinetic Energy: Increases, Total Momentum: Increases

• Total Kinetic Energy: Stays the same, Total Momentum: Stays the same

• Total Kinetic Energy: Stays the same, Total Momentum: Increases

Tags

NGSS.HS-PS2-2

A 3.0-kg object initially moving at 4.0 m/s has a perfectly inelastic collision with a 3.0-kg object initially moving in the opposite direction at 2.0 m/s. What is the absolute value of the change in mechanical energy of the two-object system as a result of this collision?

• 18 J

• 24 J

• 12 J

• 6 J

Tags

NGSS.HS-PS2-2

• The velocity is constant.

• The velocity increases then decreases.

• The velocity decreases then increases.

• The velocity is zero throughout the interval.

• 2M

• 4M

• 5M

• 8M

Tags

NGSS.HS-PS2-2