Question

Gravitational mass is proportional to gravitational.

Answer 1

Hint: The universe has a lot of full forces, pushes and pulls. In the gravitational field of the Earth these bodies are kept in which has M as the gravitational mass at a distance R from the Earth.

Complete step-by-step solution:
Any two objects with mass that attract is called the gravitational force. Since, it always tries to pull the masses together but it never pushes them apart, so, therefore, we call this force attractive. The equation for gravity is given by, \[\dfrac{F}{{F'}} = \dfrac{{GMMg}}{{{R^2}}} \times \dfrac{{{R^2}}}{{GM{M_g}^\prime }} = \dfrac{{Mg}}{{Mg'}}\]. Here, G refers to the gravitational constant equal to \[6.67*{10^{ - 11}}\dfrac{{{m^3}}}{{kg.s}}\]mass is proportional to gravitational force – intensity, force and field. Gravitational force is a low range force that exists between two particles. Of the four element forces it is the weakest. It is directly proportional to weight. From gravitational force inertial masses are free. It only depends upon the masses and gravitational mass is dependent on gravitational force. Let us consider the two bodies B and B’ with gravitational mass as Mg and Mg’ respectively. The force experienced by the body B are follows- \[F = \dfrac{{G.M.Mg}}{{{R^2}}}\].
Note: Dividing equation 1 and2 we get\[\dfrac{F}{{F'}} = \dfrac{{GMMg}}{{{R^2}}} \times \dfrac{{{R^2}}}{{GM{M_g}^\prime }} = \dfrac{{Mg}}{{Mg'}}\]. Thus it can be said that the gravitational mass and inertial mass are equal.