Derive an equation for Newton law of gravitation
Answers
Explanation:
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...
✏Derive an equation for newton law of gravitation?
➡Newton laws of gravitation states that: -
❇Every partical in the earth attracts each other.
☆and if we equate it
:--F=GmMr2
where F=G
mMr2whereF is the magnitude of the gravitational force of G .
the constant value= 6.673 × 10-¹¹ N.m²/kg²
➡He realized that gravity extends far away from Earth, perhaps even to the Moon, and other planets. The inverse square law was already known thanks to Galileo, and Kepler had discovered the laws of planetary motion, thus the law of universal gravitation followed when Newton put two and two together.
➡The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.
➡These two laws lead to the most useful form of the formula for calculating acceleration due to gravity: g = G*M/R^2, where g is the acceleration due to gravity, G is the universal gravitational constant, M is mass, and R is distance.