Chapter 13 Outline Gravitation Newton’s law of gravitation Weight Gravitational potential energy Circular orbits Kepler’s laws Black holes.

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Presentation transcript:

Chapter 13 Outline Gravitation Newton’s law of gravitation Weight Gravitational potential energy Circular orbits Kepler’s laws Black holes

Gravitation

Gravitational Force Acts on both bodies with equal magnitude. When you jump off a diving board, Earth also accelerates towards you, but your mass is 23 orders of magnitude smaller, so this is negligible. Spherically symmetric masses look like points from the outside. Replace sphere with a single point mass at the center.

Weight

Mass of the Earth

Density of the Earth

Exam #3 Results Average 10.4 Standard deviation 3.1

Gravitational Potential Energy

Gravitational Potential Energy on Earth

Escape Velocity

Motion of Satellites

Circular Orbits

Circular Orbital Speed

Total Energy in Circular Orbit

Kepler’s Laws

Kepler’s First Law

Kepler’s Second Law

Kepler’s Third Law

Escape Velocity Revisited

Black Holes

Schwartzschild Radius

What if the Sun collapsed into a black hole?

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