Momentum and Collisions Challenge

Define elastic collision and provide an example.

• Two people colliding while running.

• A car crash on a highway.

• A ball hitting the ground and bouncing back.

• An example of an elastic collision is the collision between two billiard balls on a pool table.

In an elastic collision, if object A (mass 2 kg) moves at 3 m/s and collides elastically with object B (mass 4 kg) at rest, what are their final velocities?

• Object A: 1 m/s, Object B: 2 m/s

• Object A: 2 m/s, Object B: 3 m/s

• Object A: 0 m/s, Object B: 4 m/s

• Object A: 3 m/s, Object B: 1 m/s

Explain inelastic collision and give a real-world example.

• A real-world example of an inelastic collision is a rubber ball hitting a wall and rebounding perfectly.

• A real-world example of an inelastic collision is a car crash, where two vehicles collide and crumple upon impact, losing kinetic energy.

• An inelastic collision occurs when two objects collide and bounce off each other without deformation.

• A real-world example of an inelastic collision is a basketball bouncing on the floor.

A 5 kg cart moving at 10 m/s collides inelastically with a 3 kg cart at rest. What is their combined velocity after the collision?

• 6.25 m/s

• 8 m/s

• 7.5 m/s

• 5 m/s

State the law of conservation of momentum.

• Momentum can be created or destroyed in any system.

• In an open system, momentum can change freely.

• In a closed system, the total momentum remains constant.

• The total momentum of a system is always zero.

If two objects collide and stick together, what type of collision is this?

• superelastic collision

• inelastic collision

• perfectly elastic collision

• elastic collision

Calculate the total momentum before and after a collision involving a 6 kg object moving at 2 m/s and a 4 kg object moving at 3 m/s, where they stick together after the collision.

• 18 kg·m/s

• 24 kg·m/s

• 20 kg·m/s

• 30 kg·m/s

What is the difference between elastic and inelastic collisions?

• Elastic collisions do not conserve momentum; inelastic collisions do.

• Both elastic and inelastic collisions conserve kinetic energy but not momentum.

• Elastic collisions occur only at high speeds, while inelastic collisions occur at low speeds.

• Elastic collisions conserve both momentum and kinetic energy; inelastic collisions conserve momentum but not kinetic energy.

A 10 kg object moving at 5 m/s collides elastically with a stationary 5 kg object. What are their velocities after the collision?

• v1 = 1 m/s, v2 = 8 m/s

• v1 = 3.33 m/s, v2 = 6.67 m/s

• v1 = 2.5 m/s, v2 = 7.5 m/s

• v1 = 4 m/s, v2 = 5 m/s

If a 2 kg ball moving at 4 m/s collides inelastically with a 1 kg ball at rest, what is their final velocity?

• 4.0 m/s

• 2.67 m/s

• 3.5 m/s

• 1.5 m/s