Question

state newton's universal law of gravitation. Derive it mathematically ​

Answer 1

Answer:

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=GmMr2 F = G m M r 2 , where F is the magnitude of the gravitational force and G is a proportionality factor called the gravitational constant.

Explanation:

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Answer 2

Answer:

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Explanation:

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. EVERY OBJECT IN THE UNIVERSE ATTRACTS EVERY OTHER OBJECT WITH A FORCE WHICH IS PROPORTIONAL TO THE PRODUCT OF THEIR MASSES AND INVERSLY PROPORTIONAL TO THE SQUARE OF THE DISTENCE BETWEEN THEM

Mathematical expression for the Newton's law of gravitation:-

Let two object A and B of masses M lie at a distence D. Let the force of attraction between the two object be F. According to the universal law of gravitation, the force between the two object is directly proportional to the prodect of their masses.

i.e} F ~ M*m

And the force between the two objects is inversly proportional to the square of the distence between them.

i.e} F~1/D^2

Combining 1 2 we get ,

F~ M*m/D^2

F=GM*m/D^2

Where G is the constant of proportionality and is called UNIVERSAL GRAVITATIONAL CONSTANT.

NOTE: The value of G is 6.673*10^-11