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Circular Motion and Gravity

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Centripetal Acceleration and Force
 
   

Centripetal Force can be a thrilling experience

   
    

Circular Motion with String breaking
        
Newton's Universal Law of Gravitation I









Newton's achievement was in making the connection, in proposing that the same force that pulled apples down also pulled the Moon.
Cavendish Experiment to weigh the Earth
"[Cavendish] probably uttered fewer words in the course of his life than any man who lived to fourscore years." -Lord Brougham"




 


The experiment
Henry Cavendish
 
Discovering the true Density of the Earth

How did geologists reconcile the difference in the known density of the Earth with the density of the Earth calculated using Newton's Universal Law of Gravitation?



Extra Credit Problem (DRS)

The asteroid Toro has a radius of about 5.00 km. A) Assuming that the density of Toro is the same as that of the earth, find its total mass and find the acceleration due to gravity at its surface. B) Suppose an object is to be placed in a circular orbit around Toro, with a radius just slightly larger than the asteroid's radius. What is the speed of the object? Could you launch yourself into obit around Toro by running?


Kepler I, II, III