Internal Energy of Falling Stone in Vacuum: Is ΔU Zero?

AI Thread Summary
The discussion centers on whether the internal energy of a falling stone in a vacuum increases. It is argued that internal energy, defined as the sum of the kinetic and potential energy of molecules, does not change as the stone falls since the molecules are not affected by external forces. Therefore, the change in internal energy (ΔU) is considered zero in this scenario. However, it is noted that in extreme gravitational fields, such as near a neutron star or black hole, tidal forces could alter the internal energy due to differential acceleration. Overall, in a typical vacuum scenario, ΔU remains unchanged.
ketz
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A stone is falling under gravity in a vacuum. Is its internal energy increasing?

Well, since internal energy(Microscopic level) is defined as the energy associated with molecules(Sum of kinetic energy and potential energy of the molecules). The molecules inside the ball will not gain any K.E or P.E since it is not being affected. Hence, I think ΔU will be zero! Is it correct??
 
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ketz said:
A stone is falling under gravity in a vacuum. Is its internal energy increasing?

Well, since internal energy(Microscopic level) is defined as the energy associated with molecules(Sum of kinetic energy and potential energy of the molecules). The molecules inside the ball will not gain any K.E or P.E since it is not being affected. Hence, I think ΔU will be zero! Is it correct??
Measurement of energy depends on the frame of reference in which the measurement is made. If the "internal energy" of a quantity of matter is defined as the potential and kinetic energy of molecules as measured in the frame of reference of the centre of mass of that quantity of matter, then, ignoring any tidal effects, you are correct.

If the stone is falling in the gravitational field that has a significant gradient - eg. close to a neutron star or black hole, the stone could stretch (one end accelerating faster than the other), in which case its internal energy could change.

AM
 
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