Gravity - Law of Gravitation In 1687 Isaac Newton published...

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Law of Gravitation In 1687 Isaac Newton published his Law of Gravitation which is stated mathematically in the following form: 12 2 g Gm m F r = Law of Gravitation 2 11 2 6.672 10 Nm G kg (Gravitation Constant) F g F g m 1 m 2 r R 1 m 1 R 2 m 2 F g F g r Although the Law of Gravity applies to particles (point masses), Newton also showed that it applies to spherically symmetric bodies because they behave as if their mass was concentrated at their center. If the bodies are not symmetrical, you can still compute the gravitational force between them by using the distance between the center of mass of both objects. Weight Consider an object at rest on earth’ surface: R E M E m N F g 2 E g E GM m WF R == Weight of an object near earth’s surface
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Acceleration of Gravity Consider an object of mass ‘m’ in free-fall at a height ‘h’ from earth’s surface: R E M E m F g h +y a y = g () 2 yg y E E FFm a GM m mg Rh == = + 2 E E GM g R h = + Acceleration of Gravity At surface of earth h = 0: 2 11 24 2 2 22 6 6.672 10 5.97 10 9.8 / 6.38 10 E E Nm kg kg GM gm s R m  ××   × At h = 400 km (Shuttle’s Orbit): 2 11 24 2 2 63 6.672 10 5.97 10 8.7 / 6.38 10
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Gravity - Law of Gravitation In 1687 Isaac Newton published...

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