Rev. 1REVIEW SHEET #10: GravitationNewton’s Law of Gravitation:Every particle of matter in the universe attracts every other particle of matter with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them.12212gGm mFr=the constant G=6.67x10-11N*m2/kg2The direction of Fgis along the straight line that joins the two masses.If a mass m is subject to more than one gravitational force, the total gravitational force is the vector sum of all the individual gravitational forces that act on m.The weight of a body of mass m is the total gravitational force exerted on the body by all other bodies in the universe. For a body near the surface of the earth, the weight of the body is considered to be just the gravitational force that the earth exerts on the body: 2EEgmgGm mwFR===Hence 2EEGmgR=(mE= earth’s mass = 5.98x1024kg; RE= earth’s mean radius = 6.38x106m)Gravitational Potential Energy:
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