I have a conceptual question. Suppose we have two bodies of equal masses. One is electrically neutral and the other is electrically charged (positivley charged). Now we apply equal magnitude of force on both of them, so with some displacement, kinetic energies of both the bodies will increase equally or unequally?
We know that accelerating charges produce electromagnetic waves, so in case 2, when the sphere is accelerated it will also produce some electromagnetic waves, the energy corresponding to those waves will come from the work done by the force itself, so the increase in kinetic energy of the mass in case 2 should be less. Is my explanation correct?
If the explanation is correct then we can say that the body in case 2 will exhibit greater inertia and the external agent trying to accelerate the body in case 2 will feel greater resistance in accelerating the body 2, is this understanding correct? If Yes, then how do we understand this "Extra Inertia" which the body 2 will exhibit. Is there a name to this "Inertia"? Is there some literature on it? Could somebody explain me some greater details in this case?
Following is the summary of the question:
- In the shown cases, which body will acquire greater kinetic energy for the same displacement? and Why?
- Since body 2 will also also emit some electromagnetic waves (due to accelerating charges) so can we say that body 2 will possess lesser kinetic energy in comparison to body 1, for the same displacement?
- If point 2 is correct then can we say that body 2 will possess greater "inertia" in comparison to body 1? If yes, then can somebody explain me more details on this extra "inertia"? How do we understand it?
Thank you.