Multi-step problems Elastic Collisions Center of mass motion Rocket propulsion Lecture 16: Linear momentum and energy. Center of mass motion.

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Presentation transcript:

Multi-step problems Elastic Collisions Center of mass motion Rocket propulsion Lecture 16: Linear momentum and energy. Center of mass motion.

Momentum and energy in multi-step problems

Example: Ballistic pendulum

Energy in collisions

Elastic collisions

Example: elastic head-on collision with stationary target

After some algebra:

Rosencrantz and Guildenstern are dead

General elastic collisions: two-dimensional, off-center, particles move away at angles

Center of Mass: Definition Continuous object: integration If object has line of symmetry: CM lies on it. Same amount of mass on both sides.

Center of Mass: Example

Center of mass and momentum

Center of mass and external forces Particles in system interact Internal forces occur in action-reaction pairs, cancel. Only external forces remain. Demo: Center-of-mass motion

Discussion question

Another discussion question You find yourself in the middle of a frictionless frozen lake. How do you get to the shore? Throw something Same principle as rocket motion Demo: rocket cart

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