6 Gravitation ay - Chapter 6 Gravitation and Newtons...

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1 Chapter 6 Gravitation and Newton’s Synthesis
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2 Newton’s Law of Universal Gravitation What exerts the force of gravity? Newton concluded that every particle in the universe attracts each other with a gravitational force. F G = G m 1 m 2 r 2
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3 Cavendish Experiment In 1798, Henry Cavendish first measured G between two small objects. G = 6.67 x 10 -11 N m 2 /kg 2
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4 Example 6-1 Can you attract another person gravitationally? A 50-kg person and a 75-kg person are sitting on a bench so that their centers are about 50 cm apart. Estimate the magnitude of the gravitational force each exerts on the other.
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5 6-2 Vector Form of Newton’s Law of Universal Gravitation F 12 = - G r 21 m 1 m 2 r 21 2 where: r 12 = - r 21 and therefore: F 12 = - F 21 ^
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Example A mass M is ring shaped with radius r . A small mass m is placed at a distance x along the ring’s axis. Show that the gravitational force acting on the mass m due to the ring is directed inward along the x axis and has magnitude 6 F = GMmx ( x 2 + r 2 ) 3 2
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7 Shell Theorem
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