Derivation of formula F=Gmm/R2
Answers
Answer:
Sir Isaac Newton’s universal law of gravitation (F=Gmm/r2) is an equation representing the attractive force (F) of two masses (m) separated at distance (r). It was first published as a part of Newton’s works on classical mechanics in the late 1600s. Force is proportional to mass and distance, related by a proportionality symbol known as the gravitational constant (G). The force of gravity occurs even at the smallest of particles, yet at this scale, force and motion is dominated by the electric force. Only when the electric force is neutralized, such as in atoms, can the presence of gravity be detected. Gravity is so weak, that it takes trillions and trillions of atoms, such as large bodies like planets, before the force is significant.
Explanation:
we know that any particle in universe is attractedd by a force which is directly proportional to the. product of masses and inversely proportional to the square of distance between them
therefore , F =m1×m2
F=1/ r ^2
therefore combining both we get F= m1×m2/r^2