notes12 - Chapter 12: Universal Force due to Gravity Every...

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Chapter 12: Universal Force due to Gravity Every object in the Universe exerts an attractive force on all other objects The force is directed along the line separating two objects Because of the 3 rd law, the force exerted by object 1 on 2, has the same magnitude, but opposite direction, as the force exerted on 2 by 1 m 1 m 2 12 F 21 F r 21 12 F F = By 3 rd law
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F 12 = Gm 1 m 2 r 2 = F G where And G Universal Gravitational Constant = 6.67259 x 10 -11 N m 2 /kg 2 G is a constant everywhere in the Universe, therefore it is a fundamental constant g is not a fundamental constant, but we can calculate it. Compare: 2 2 1 12 r m Gm F = and mg F =
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Let m 1 = M E = mass of the Earth, m 2 = m = mass of an object which is << M E , r = R E , object is at surface of the Earth, Set the forces equal to each other: 2 2 2 s m 2 6 24 kg Nm 11 - 2 2 80 . 9 m) (6.378x10 kg) x10 9742 . 5 )( x10 67259 . 6 ( = = = = g R GM g R m GM mg E E E E R E m M E
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Weight mass
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notes12 - Chapter 12: Universal Force due to Gravity Every...

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