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

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SUMMARY

The discussion centers on the internal energy of a stone falling in a vacuum under gravity. It concludes that the change in internal energy (ΔU) is zero because the molecules within the stone do not experience any change in kinetic or potential energy due to the absence of external forces acting on them. The measurement of internal energy is frame-dependent, and while ΔU remains zero in a uniform gravitational field, it could change in extreme gravitational gradients, such as near a neutron star or black hole.

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  • Understanding of internal energy and its components (kinetic and potential energy).
  • Familiarity with gravitational fields and their effects on objects.
  • Knowledge of frame of reference in physics.
  • Basic concepts of general relativity, particularly in extreme gravitational environments.
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  • Research the principles of internal energy in thermodynamics.
  • Study gravitational effects on objects in varying gravitational fields.
  • Learn about frame of reference and its implications in physics measurements.
  • Explore the effects of tidal forces near massive celestial bodies like neutron stars and black holes.
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Students of physics, educators teaching thermodynamics and gravitation, and researchers exploring energy dynamics in extreme environments.

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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