what is the difference between inertial mass and gravitational mass?

Question

plZ,explain with mathematical form.also give suitable example

Answer 1

There is a theoretical difference between them.

Inertial mass is the property of matter to resist acceleration due to force. The greater the mass, then the greater force you need to achieve the same acceleration. It is the "m" in
F = ma.

Gravitational mass is the property of matter to attract other matter (such as the earth attracting an apple). The greater the mass, the proportionally greater the attractive force. It is the "m1" and "m2" in
F = G m1 m2 / r^2.

AFAIK while there is a theoretical distinction, no one has found any difference in the two properties of matter in experiments designed to test this difference. I.e., two bits of matter with the same inertial mass will also have the same gravitational mass and vice versa.

Answer 2

inertial mass is easily mass which would be of physique with out any gravitational stress on an identical time as gravitational mass is the manufactured from inertial mass and acceleration as a results of gravitation=mg

Answer 3

For this one should understand that there are no independent definitions of force and mass. They are connected through Newton's laws of motion and are indpendent of the origin of force. With the help of the relationship F = ma , we define the unit of force as well as mass. Now these units become consistent with the universal law of gravitaion, If we assume a particular value for G, which is universal. This consistency never breaks down in all kinds of forces and in all situations, using the same definition of mass from Newton's laws of motion and G from Universal Gravitaional law.