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Unformatted text preview: 1 The same Sir Isaac Newton who gave us his Three Laws of Motion also developed the Law of Universal Gravitation, G = 6.673 x 10-11 Nm 2 /kg 2 r F F m 1 m 2 G is called the universal gravitational constant Newtons Theory of Gravitation-Chapter 13 Gravity A La Newton r F F m 1 m 2 Newtons Law of Universal Gravitation is referred to as an inverse __________ law. Perhaps a more complete way to describe this law is Where the minus sign indicates that this is an __________ force! 12 2 2 1 12 r r m m G F r r = 1.Gravitational force is a ___________! 2.Force exists between any two __________ particles. 3.Force is proportional to the product of the masses and inversely proportional to the distance squared between the two particles. 4.Gravity is ___________________ attractive! 5.The gravitational force exerted by a spherical object on a particle outside the sphere is the same as if the entire mass of the sphere were concentrated at its center. This is Newtons Shell Theorem. GravitationalForces r r M M m m = 2 2 2 11 2 2 1 (10m) g) (60kg)(60k /kg Nm 6.67x10 r m m G F = = What has a greater influence (gravitationally) on my evil twin: myself (Dr. Pope) at a distance of 10m or Jupiter? Dr. Pope Dr. Popes mass 60 kg Evil twins mass 60 kg F Dr. Pope = 2.4x10-9 N ASTROLOGY ______ 2 What has a greater influence (gravitationally) on my evil twin : Dr. Pope at a distance of 10m or Jupiter? F Dr. Pope =2.4x10-9 N Jupiter Jupiters mass: 1.9x10 27 kg Distance from earth: 6.28x10 11 m 2 11 27 2 2 11 2 2 1 m) (6.28x10 kg) x10 (60kg)(1.9 /kg Nm 6.67x10 r m m G F = = F Jupiter =1.9x10-5 N F Jupiter ____ F Dr. Pope Note: at a distance of _______ I would have a larger influence!!! ASTROLOGY Gravitational Effects of several objects 1 kg 2 kg 1 kg 1 kg 1 kg Four masses sit at the corners of a square with sides of 1m. What is the magnitude and direction of the net force on the 1 kg mass atthe center of the square? Gravitational Effects of several objects...
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