Inertial vs Gravitational Mass

AI Thread Summary
Gravitational mass determines the force of attraction between massive objects, while inertial mass is related to an object's resistance to acceleration when a force is applied, as described by F=ma. The equality of gravitational and inertial mass is not inherently necessary, but experimental evidence suggests they are equal since all objects accelerate at the same rate under gravity, regardless of mass. This observation implies that if they were not equal, heavier objects would fall differently than lighter ones, contradicting experimental findings. The discussion highlights the significance of this equality in understanding fundamental physics. Overall, the relationship between inertial and gravitational mass is a crucial aspect of gravitational theory.
Abtinnn
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Hi!

Could someone please explain the difference between gravitational and inertial mass? And how are they equal?

Thank you!
 
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You need a force to accelerate an object because of its inertial mass.
Inertial mass is the "m" in F=ma.

Gravitational mass is a property of massive objects that governs their force of attraction in gravity.

There is no reason that these two have to be equal a priori, but there are very good reasons to believe this is so.

The best reason I can come up with, is that in the absence of all other forces, the acceleration of an object due to gravity doesn't depend on its mass (so far as we can tell experimentally).
If gravitational and intertial mass were not equal, then more massive objects would fall at a different acceleration than less massive objects (not counting air drag and such).
 
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