Universal Gravitation PPP

Universal Gravitation Q&A using animations and questions from The Physics Classroom at http://www.glenbrook.k12.il.us/gbssci/phys/Class/circles/u6l3a.html

Gravity is More Than a Name ,[object Object],[object Object],[object Object],[object Object]

The Force of Gravity (F grav ) ,[object Object],[object Object],[object Object]

Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Apple, the Moon, and the Inverse Square Law ,[object Object]

Kepler's three laws of planetary motion ,[object Object],[object Object],[object Object]

Kepler's laws provided a suitable framework for understanding the motion and paths of planets about the sun ,[object Object],[object Object],[object Object]

Newton knew that there must be some sort of force which governed the heavens ,[object Object],[object Object],[object Object]

Newton's Thought Experiment ,[object Object],[object Object]

Now suppose that there is a speed at which the cannonball could be fired such that the trajectory of the falling cannonball matched the curvature of the earth. ,[object Object]

[object Object],[object Object]

Newton's dilemma ,[object Object],[object Object]

Why is the acceleration of the moon so much smaller than the acceleration of the apple? ,[object Object],[object Object],[object Object],[object Object]

Compare the distance from the apple to the center of the earth with the distance from the moon to the center of the earth. ,[object Object],[object Object],[object Object]

The force of gravity follows an inverse square law . ,[object Object],[object Object]

Using Equations as a Guide to Thinking ,[object Object],[object Object],[object Object]

Increasing the separation distance decreases the force of gravity. ,[object Object],[object Object],[object Object]

Check Your Understanding ,[object Object],[object Object],[object Object]

Check Your Understanding ,[object Object],[object Object]

Newton's Law of Universal Gravitation ,[object Object],[object Object]

ALL objects attract each other with a force of gravitational attraction. ,[object Object]

TRENDS with MASS ,[object Object],[object Object],[object Object]

TRENDS with DISTANCE ,[object Object],[object Object],[object Object]

Illustrating the proportionalities of the universal law of gravitation

The Constant of Proportionality ,[object Object],[object Object],[object Object],[object Object],[object Object]

Sample Problem #1 ,[object Object],[object Object]

Sample Problem #2 ,[object Object],[object Object]

Gravitational interactions exist between all objects with an intensity which is directly proportional to the product of their masses ,[object Object],[object Object]

Check Your Understanding 2 ,[object Object],[object Object]

Cavendish and the Value of G ,[object Object],[object Object],[object Object]

Check Your Understanding 3 ,[object Object]

The Value of g ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The value of g at various locations from Earth's center. 0.13 5.64 x 10 7 m 50000 km above surface 1.49 1.64 x 10 7 m 10000 km above surface 2.60 1.24 x 10 7 m 6000 km above surface 3.08 1.14 x 10 7 m 5000 km above surface 3.70 1.04 x 10 7 m 4000 km above surface 4.53 9.38 x 10 6 m 3000 km above surface 5.68 8.38 x 10 6 m 2000 km above surface 7.33 7.38 x 10 6 m 1000 km above surface 9.8 6.38 x 10 6 m Earth's surface Value of g Distance from Earth’s center Location

The equation takes the following form: g = G * M planet / (R planet ) 2 ,[object Object],[object Object],[object Object]

Kepler's Three Laws ,[object Object],[object Object],[object Object],[object Object],[object Object]

Kepler's Laws of Planetary Motion ,[object Object],[object Object],[object Object]

Kepler's first law ,[object Object],[object Object],[object Object]

Kepler's second law ,[object Object],[object Object],[object Object]

Kepler's Third Law ,[object Object],[object Object],[object Object]

Check Your Understanding ,[object Object],[object Object],[object Object],[object Object]

Check Your Understanding ,[object Object]

Velocity of Planets and Satellites ,[object Object],[object Object],[object Object],[object Object]

Universal Gravitation PPP

Universal Gravitation PPP

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Universal Gravitation PPP