Physics I Class 18 Newton’s Theory of Gravitation.

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17-1 Physics I Class 17 Newton’s Theory of Gravitation.

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Presentation transcript:

Physics I Class 18 Newton’s Theory of Gravitation

Forces Known to Physics

Forces in Physics 1 (so far)

Newton’s Theory of Gravitation

Newton’s Law of Universal Gravitation

Properties of Gravity

If Gravity Varies As 1/r2, Where Does g = 9.8 m/s2 Fit In?

Gravity is a Conservative Force

We Have Two Formulas for Gravitational Potential Energy!

Class #18 Take-Away Concepts

Class #18 Problems of the Day

Answer to Problem 1 for Class #18

Class #18 Problems of the Day

Answer to Problem 2 for Class #18

Activity #18 Gravitation

Class #18 Optional Material Part A - Kepler’s Laws of Orbits Material on Kepler’s Laws thanks to Professor Dan Sperber

Kepler’s Three Laws of Planetary Motion 1. The Law of Orbits: All planets move in elliptical orbits having the Sun at one focus. 2. The Law of Areas: A line joining any planet to the Sun sweeps out equal areas in equal times. 3. The Law of Periods: The square of the period of any planet about the Sun is proportional to the cube of the semi-major axis of its orbit.

Kepler’s Three Laws of Planetary Motion

The Law of Areas

The Law of Periods

ENERGY IN CIRCULAR ORBITS

Class #18 Optional Material Part B - General Relativity Material on General Relativity thanks to Albert Einstein

Where Did Newton Go Wrong? (Again!)

The Principle of Equivalence

The Principle of Equivalence

General Theory of Relativity

Black Holes

If Newton’s Gravity isn’t true, why do we still use it? Massive Black Holes In Galaxies NGC 3377, NGC 3379 And NGC 4486B