Kepler’s Laws. Kepler’s First Law Kepler’s Second Law.

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Presentation transcript:

Kepler’s Laws

Kepler’s First Law

Kepler’s Second Law

Kepler’s Third Law

Escape Velocity Revisited

Black Holes

Schwarzschild Radius

What if the Sun collapsed into a black hole?

Black Hole Detection Since no light can escape the event horizon, how can we even see the black hole? When matter falls towards the black hole it is compressed and heated, emitting radiation. This accretion disc is therefore visible evidence.

Chapter 13 Summary Gravitation

Chapter 14 Outline Periodic Motion Oscillations Amplitude, period, frequency Simple harmonic motion Displacement, velocity, and acceleration Energy in simple harmonic motion Pendulums Simple Physical Resonance

Periodic Motion Many types of motion repeat again and again. Plucked string on a guitar, a child in a swing, sound waves in a flute… This is called periodic motion, or oscillation. Stable equilibrium point Displacement from equilibrium leads to a force (or torque) to return it to equilibrium. Kinetic energy leads to overshoot, causing repeat

Periodic Motion Notation

Simple Harmonic Motion

Mass on a Spring

Simple Harmonic Motion of a Mass on a Spring

Displacement, Velocity and Acceleration

SHM Example

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