newton’s law of
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NEWTON’S LAW OF. UNIVERSAL GRAVITATION. Newton’s Law of Universal Gravitation. Newton’s law of universal gravitation :. - PowerPoint PPT PresentationTRANSCRIPT
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NEWTON’S LAW OF
UNIVERSAL GRAVITATION
Newton’s Law ofUniversal Gravitation
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Newton’s law of universal gravitation:The force of attraction between two objects is
directly proportional to the product of the masses and inversely proportional to the square of the distance between the center of the masses.
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FORMULA Fg = Gm1m2
r2
F- force (N)m- mass (kg)r- distance between objects(m)G- universal gravitational constant (6.67 x10-11Nm2/kg2)
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EXAMPLE: What is the force of attraction between the Earth and the Moon?
r
Fg = 6.67x10-11(5.98x1024 kg)(7.35x1022kg) (3.85x108m)2
Fg = 2.93 x 1037
1.48 x 1017
Fg = 1.98 x 1020N
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Inverse square proportion:
Earth
r2r
3r4r
1N ¼ N 1/9 N 1/16 N
As the distance between the objects increases theforce decreases.
F
r
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GravityAs you increase the distance from the center of the earth, your weight will decrease slightly. On mountain tops you weigh a little bit less.
If you are in a valley the effects of gravity will be slightly more.
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If you could drill a tunnel through the center of the earth, your weight would decrease as you fell through. At the center of the earth your weight would be zero.