Gravitation Newton’s Law of Gravitation; Kepler’s Laws of Planetary Motion. Lecture 14 Monday: 1 March 2004.
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1 Gravitation Newton’s Law of Gravitation; Kepler’s Laws of Planetary Motion. Lecture 14Monday: 1 March 2004
2 Physical Principles of Design Forces and Motion Learning to analyze and predict the motion of objects moving with constant accelerations.- Topics of kinematics, projectile motion ….Coming to understand the causes of motions and changes in motion-topics of (linear and rotational) forces, momentum, energy…Forces we have encountered:frictional force, normal force, applied forces of pushes/pulls, tension in strings, and the GRAVITATIONAL FORCE
3 How Many Different Forces are There? All of the forces we have worked with or will work with are specific examples of following general types of forces:The Fundamental Forces of Nature:Gravitational ForceElectromagnetic ForceStrong Force (Nuclear)Weak Force (Nuclear)
4 A General Expression for the Gravitational Force
5 Revisiting Gravitational Force More Specifically,Where , is the acceleration due to the earth’s gravitational attraction.It is not only the earth that attracts other objects.Any object with mass will attract any other object with mass.
7 Characteristics of the Gravitational Force The force is always attractive.There is a Newton’s third law force pair involved.It acts along a line connecting the centers of the two objects (called a Central Force)It is inversely proportional to r2 (called a “one over r squared” force)Experimental measurement show us that it is a conservative force (the gravitational force on earth is conservative-remember? This is a general expression of that same force)
8 Defining the Potential Energy Associated with this Force