Physics of the Moon

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Gravitational Force of Bodies All bodies with mass exert a gravitational pull on the bodies around them, even you and me. The larger the radius and mass of the body the larger the force. Most people know that the force of gravity on earth is much greater than on the moon, but how much larger is it, and how is gravity calculated? German astronomer Johannes Kepler (1576-1630) spent years observing the motion of planets and developed a set of laws for planetary motion. Years after his death Physicist Isaac Newton (1642-1727) used these laws to help him develop his law of universal gravitation. The law of Universal Gravitation states that: "every particle in the Universe attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them" (Serway 424). This essential means that the force of gravity increases the larger the masses are and decreases the farther away the masses are. The formula to determine the the magnitude of the gravitational force is: Fg = G (M1M2)/R^2 G is the Universal Gravitational Constant, M1 and M2 is the mass of the two objects and R is the distance between them. On Earth the force of gravity causes all objects to accelerate at 9.8m/s^2. For example, say you have a mass of 1kg on the surface of the earth. The force of gravity between the two objects is given by: Fg= (6.673x10^-11)(5.9736x10^24)(1) (6.3781x10^6)^2 Fg = 9.8 m/s^2 6.672x10^-11 is the value of the universal gravitational constant (G), 5.9736x10^24 is the mass of the Earth (M1) in kg, 1 is the mass of our object on the earth's surface (M2) in kg, and 6.3781x10^6 is the distance between the center of the Earth and the Earth's surface (R) in meters. 9.8 m/s^2 is the acceleration force between objects and the earth On the moon
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