Derive Newton's law of gravitational force
Answers
Answer:
The derivation of Newton’s law of gravitation is based on the concept that the universe is a pure wave system. Then, the elementary particles are shown to be the constructive interference peaks of the normal modes. For a normal mode originating at a mass particle, the force at another particle, r distant, is given by F = dE/dr = −sdI/dr where I is the intensity of a normal mode and s is the particle size. It was discovered that this force law leads to Newton’s law of gravitation only if the normal modes propagate circularly in a plane and are uniquely determined by the Bessel equation of half-order with l = 0. New results are: 1) Mass energy of particles due to gravitational intensity 2) Possible explanation of the spin 1/2 of elementary particles.
Answer:
The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between 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