A 1200 kg car traveling east at 18 m/s locks with a stationary 1800 kg van. Take east as positive. Which relationship finds the shared velocity just after impact?

A skater at rest throws a 4.0 kg medicine ball to the right. Take right as positive and ignore external horizontal forces. Which statement applies after the throw?

Two carts collide on a level track with negligible external impulse, then separate. Which relationship must be true during the brief collision?

A 0.050 kg ball hits a wall and rebounds. Take motion toward the wall as positive. Which relationship gives the impulse on the ball?

Two carts initially at rest are pushed apart by a compressed spring between them. Take right as positive. Which relationship applies after they separate?

An astronaut at rest catches a 2.0 kg tool drifting left, and then astronaut and tool move together. Take left as positive. Which relationship finds their final velocity?

A bat exerts an average force on a baseball for a measured contact time. Which relationship should be used first to connect that force to the ball's velocity change?

A firecracker at rest breaks into two fragments on a nearly frictionless surface. Take right as positive. Which relationship gives the second fragment's velocity from the first?

A small car and a loaded truck collide head-on. A student says, “The truck hit the car with a bigger force.” Which correction is right?

A student says, “A crumple zone makes a crash last longer, so the average force on the passenger is larger.” Which correction is right?

A student writes, “Momentum is conserved only when a collision is elastic.” What should replace that statement?

A student explains, “An air bag protects you by absorbing your momentum so it disappears.” Which correction is best?

A student says, “Action-reaction forces cancel, so they cannot change motion.” Which correction is right?

A student says, “The heavier object always has more momentum.” Which correction is right?

A student says, “An explosion creates total momentum because pieces fly apart.” Which correction is right?

A student writes, “A perfectly inelastic collision always turns all of the kinetic energy into other forms.” Which correction should replace it?

Use the force-time graph for a ball. What is the magnitude of the impulse from 0 to 0.020 s?

Use the force-time graph for a cart. What impulse is delivered during the whole contact?

Take right as positive. A wall pushes the cart in the negative direction. The graph shows the size of that force. What is the impulse from 0 to 0.030 s?

Cart A has mass 2.0 kg. Use the velocity figure. What impulse did the collision give cart A?

Each cart has mass 1.0 kg. Use the velocity figure. What is the change in momentum of cart B?

Cart A is 3.0 kg and cart B is 1.0 kg. Use the velocity figure. What is the total momentum after the collision?

A 4.0 kg launcher fires a 0.020 kg projectile forward at +300 m/s. Both were initially at rest. What is the launcher's velocity just after firing?

A 0.50 kg cart moving at +3.0 m/s locks with a stationary 1.0 kg cart. What is their shared velocity just after impact?

A 2.0 kg cart at +5.0 m/s locks with a 3.0 kg cart at −1.0 m/s. What is the shared velocity after the collision?

Take east as positive. A 0.20 kg puck changes velocity from +4.0 m/s to −6.0 m/s during a collision. What impulse acts on the puck?

A net impulse of +12 kg·m/s acts on a cart during a 0.040 s collision. What average net force acted on the cart?

A 0.40 kg cart at +5.0 m/s locks with a stationary cart. The pair moves at +2.0 m/s after impact. What is the stationary cart's mass?

A 0.25 kg cart moving at +0.80 m/s collides elastically with an identical cart at rest. Afterward the first cart stops. What is the second cart's velocity?

A 75 kg astronaut at rest throws a 5.0 kg package at +6.0 m/s. What is the astronaut's velocity just after the throw?

A device at rest separates into a 0.30 kg piece moving at +4.0 m/s and a 0.20 kg piece. What is the velocity of the 0.20 kg piece?

Take right as positive. A 2.0 kg cart moving at +3.0 m/s experiences a constant −10 N force for 0.40 s. What is its final velocity?

A 1.0 kg cart moving at +6.0 m/s hits a stationary 2.0 kg cart. Afterward the 1.0 kg cart moves at −2.0 m/s. What is the 2.0 kg cart's velocity?

Two carts have 12 J of total kinetic energy before a collision and 12 J after, and they move apart afterward. Which classification fits?

Two carts have 20 J of total kinetic energy before a collision and 8 J after, with different final velocities. Which classification fits?

Two equal-mass carts approach with equal speeds, and both are at rest after impact. Total kinetic energy changes from 16 J to 0 J. Which classification fits?

A spring-loaded cart system has 0 J of kinetic energy before release and 6 J after the carts move apart. Which classification fits the interaction?

A 2.0 kg cart at +3.0 m/s hits a stationary 1.0 kg cart. Afterward the 2.0 kg cart moves at +1.0 m/s and the 1.0 kg cart at +4.0 m/s. Which classification fits?

A 2.0 kg cart at +4.0 m/s hits an identical cart at rest. Afterward the first cart moves at +1.0 m/s and the second at +3.0 m/s. Which classification fits?

Two 1.0 kg carts move together at +2.0 m/s. After a brief interaction, one cart is at rest and the other moves at +4.0 m/s. Which classification fits?