Elastic Collisions SPH4U.

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Presentation transcript:

Elastic Collisions SPH4U

Elastic Collisions An interaction in which both momentum and kinetic energy are conserved is called an elastic collision.

Elastic Collisions An interaction in which both momentum and kinetic energy are conserved is called an elastic collision.

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls?

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls? First consider conservation of momentum:

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls?

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls?

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls?

Elastic Collisions: Example A ball of mass 1 kg with an initial velocity of 10 m/s [E] strikes a stationary ball of mass 1 kg in a completely elastic collision. What is the final velocity of both balls? Now consider conservation of kinetic energy:

Elastic Collisions: Example

Elastic Collisions: Example

Elastic Collisions: Example

Elastic Collisions: Example

Elastic Collisions: Example This equation has two solutions:

Elastic Collisions: Example Let’s interpret these solutions. . . .

Elastic Collisions: Example Let’s interpret these solutions. . . . The second describes a situation in which the first ball passes completely through the second without affecting it. This is not physically possible.

Elastic Collisions: Example Let’s interpret these solutions. . . . The first describes a situation in which the first ball stops and the second carries away all the momentum and kinetic energy. This is physically possible.

More Practice “Mini-Build Project: Newton’s Cradle” “More Practice with Elastic Collisions”