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### Collisions, Part 2

• In an elastic collision, mechanical energy is conserved, i.e., no heat is generated. The collision of billiard balls may be taken to be elastic.
• In an elastic collision in one dimension, it is usually the case that the velocities of the objects before collision are known. Conservation of mechanical energy and momentum provide the equations that determine the velocities after collision.
• For collisions in two dimensions, it is important to keep in mind the vectorial nature of the momentum. The x-component of the total momentum before collision is equal to the x-component of the total momentum after collision, and similarly for the y-component.

### Collisions, Part 2

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Elastic Collision: One Object Stationary 0:28
• Example: Stationary Object and Moving Object
• Conservation of Momentum
• Mechanical Energy Conservation
• Elastic Collision: Both Objects Moving 17:34
• Example: Both Objects Moving Towards Each Other
• Kinetic Energy Conservation
• Collision With a Spring-Block System 29:17
• Example: Object of Mass Moving with Velocity
• Object Attached to Spring of Mass with Velocity
• Two Objects Attached to a Spring
• Compression of Spring after Collision
• Before Collision: Total Energy (Conservation of Energy)
• After Collision: Total Energy
• Collision in Two Dimensions 42:29
• Object Stationary and Other Object is Moving
• Head on Collision (In 1 Dimension)
• Momentum Before Collision
• Momentum After Collision
• If Collision is Elastic (Conservation of Kinetic Energy) Before Collision
• Example 51:58
• Objects Moving in Two Directions
• Objects Collide and Stick Together (Inelastic Collision)
• Conservation of Momentum
• Momentum in X-Direction
• Momentum in Y-Direction
• Maximum Height after Collision
• Extra Example 2: Two Objects Hitting a Spring
• Extra Example 3: Mass Hits and Sticks