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Universal Law of Gravitation

F = G m1 m2/ ...

Question

$F = G m_{1} m_{2} / d^{2}$ is the mathematical form of Newton's law of gravitation, $G -$ gravitational constant, $m_{1} m_{2}$ , are the masses of two bodies separated by a distance $d$ , then given the statement of Newton's law of gravitation.

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Solution

According to Newton's law of gravitation, every object in the universe attracts every another object with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. The force is along the line joining the centers of two objects.

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Similar questions

Q. (a) Explain Newton's first law of motion with an example.
(b)

F = \frac{G m_{1} m_{2}}{d^{2}}

is the mathematical form of Newton's law of gravitation.
Give the statement of Newton's law of gravitation.

Assertion :

The centres of two cubes of masses

m_{1}

m_{2}

are separated by a distance

r

. The gravitational force between these two cubes will be

\frac{G m_{1} m_{2}}{r^{2}}

Reason :

According to Newton's law of gravitation, gravitational force between two point masses

m_{1}

m_{2}

separated by a distance

r

\frac{G m_{1} m_{2}}{r^{2}}

Q. "Analogous to the Coulomb's law the Newton's law of gravitation states that whenever two bodies of certain mass

m_{1}

m_{2}

are separated by distance

^{'} r^{'}

, then each of them attract each other by a force given as:

F = \frac{G m_{1} m_{2}}{r^{2}}

^{'} G^{'}

is a constant"
Now, two point charges

+ q_{1}

+ q_{2}

are placed on a horizontal table such that gravitational attraction between them balances electrostatic repulsion. What can be concluded about nature of equilibrium position ?

Q. In the Newton's gravitational law,

F = \frac{G M m}{d^{2}}

, the quantity G:

Q. Newton's law of gravitation gives a relation between the strength of the force F between two objects with masses M and m and the distance between them, r units and is defined as

F = \frac{G M m}{r^{2}}

. Find the equation which gives the value of Newton's gravitational constant G, in terms of F, M, m, and r?

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