state the universal law of gravitation write the formulas to find the gravitational force between the earth and an object on the surface of earth also state importance of universal law of gravtation
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Newton's universal law of gravitation: Every particle in the universe attracts every other particle with a force along a line joining them. ... In equation form, this is F=GmMr2 F = G mM r 2 , where F is the magnitude of the gravitational force. G is the gravitational constant, given by G = 6.673 × 10−11 N·m2/kg2.
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Q:- State the universal law of gravitation write the formulas to find the gravitational force between the earth and an object on the surface of earth also state importance of universal law of gravitation.
A:- The bodies we are dealing with tend to be large. To simplify the situation we assume that the body acts as if its entire mass is concentrated at one specific point called the center of mass (CM), which will be further explored in the chapter Linear Momentum and Collisions. For two bodies having masses m and M with a distance r between their centers of mass, the equation for Newton’s universal law of gravitation is
F = G (mM/r²)
where F is the magnitude of the gravitational force and G is a proportionality factor called the gravitational constant. G is a universal gravitational constant—that is, it is thought to be the same everywhere in the universe.
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