Smart Newton Equation For Gravity

In accordance with this law two point masses attract each other with a force that is directly proportional to the masses of these bodies m1 and m2 and inversely proportional to the square of the distance between them.

Newton equation for gravity. In Newtons equation F12 is the magnitude of the gravitational force acting between masses M1 and M2 separated by distance r12. The one most people know describes Newtons universal law of gravitation. Other supporting evidence for Newtons gravity law This inverse square law result is consistent with Keplers third law found in 1610.

In other words an object dropped near the Earths surface will accelerate 98 msec for every second it falls. F G m1m2 r2. The mathematical formula for gravitational force is F GMm r2 F G Mm r 2 where G G is the gravitational constant.

Before we tackle the Big G we should step back and explain Newtons Law of Universal Gravitation. Force equals mass times acceleration. The universal gravitational constant G is approximately 667x10-11 N mkg2 where N is the Newton a measurement of force.

See the other answers for the more general case. F Gm 1 m 2 r 2 where F is the force due to gravity between two masses m 1. It will move at a velocity of 98 ms after the first second 2 x 98msec 196 msec the next 3 x 98msec 294 msec the next and so on.

Substituting those into the equation above we see that the acceleration due to gravity for any object on the Earths surface usually called g or little g is 98 msec2. The force equals the product of these masses and of G a universal constant divided by the square of the distance. For two bodies having masses m and M with a distance r between their centers of mass the equation for Newtons universal law of gravitation is F Gdfrac mM r2 where F is the magnitude of the gravitational force and G is a.

The law of universal gravitation was formulated by Isaac Newton 16431727 and published in 1687. GMm r2 mr This assumes m M so we dont need to consider reduced mass. Thegreatcoursesdaily Even after Newton proposed his gravity equation there was one big gap and that was the numerical value of the gravitational constant shown with capital G in the equation Swift Newtons Law of Gravitation Two objects with masses m 1 and m 2 that have a distnace r between their centers attract each other with a force.