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Kepler’s Laws of Orbital Motion. Reporter: Mante Cros G. Nalzaro. First Law : Law of Orbits. All planets move in elliptical orbits with the Sun at one focus. Second Law: Law of Areas. A line that connects a planet to the sun sweeps out equal areas in equal times.
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Kepler’s Laws of Orbital Motion Reporter: ManteCros G. Nalzaro
First Law : Law of Orbits • All planets move in elliptical orbits with the Sun at one focus.
Second Law: Law of Areas • A line that connects a planet to the sun sweeps out equal areas in equal times.
Newton’s Law of Gravitation • Every object in the universe attracts every object with a force directly proportional to the product of their masses and inversely proportional to the square of the center-to-center distance separating them.
The Gravitational Constant • It is impossible to determine the gravitational constant G from astronomical data alone, as Newton realized. A direct measurement of gravitational force between two known masses a known distance apart is needed. The difficulty here, as the example illustrates, is that gravitational forces are extremely small between objects of laboratory size.
The value of G was finally established in 1798, more than a century after Newton’s work, by Henry Cavendish. He used an instrument called a Torsion Balance. The forces exerted on the small sphere in Cavendish’s experiment could be found from the resulting twist in the fine suspending thread.
The Gravitational Equation So, our equation for Newton’s Law of Gravitation is complete. For two bodies with masses m1 and m2 with center distance r, the force F. F = G Where F is in N G is in N-m2/kg2 m1, m2 are in kg r is in m
Remember For Gravity Makes Masses Over-React and React Or False Gods Make Man Over-Righteous and Rebellious
Example A grocer puts a 100-kg lead block under the pan of his scale. By how much does this increase the reading of the scale when 1 kg bag of mangoes are on the pan, if the center of mass of lead and mangoes are 0.3 m apart?
