Uncovering the Constant C: Equal Mass Equals Equal Energy?

Click For Summary
All matter with equal rest mass has the same energy when at rest, meaning 1 kg of water and 1 kg of uranium possess identical mass energy. However, for matter in motion, the relationship changes, and the correct formula is E² = m²c⁴ + p²c², where p represents momentum. This indicates that objects with the same mass but different velocities will have different energy levels. Therefore, while rest mass equates to equal energy, motion introduces variability in energy based on momentum. Understanding these distinctions is crucial in discussions of mass-energy equivalence.
Adam Rifai
Messages
15
Reaction score
0
Since C is constant, so all matter of equal rest mass have the same E ?!
e.g. an equal rest mass of water and rest mass of Uranium have the same energy ?
 
Physics news on Phys.org
Yes, the mass energy related to 1 kg of water is the same as the mass energy in 1 kg of uranium.
 
  • Like
Likes Adam Rifai
Adam Rifai said:
all matter of equal rest mass have the same E ?

Assuming the matter is at rest, yes. For matter in motion, ##E = mc^2## is not correct; the correct formula is ##E^2 = m^2 c^4 + p^2 c^2##, where ##p## is the momentum. So pieces of matter with the same ##m## but different ##p## (because they are moving at different speeds) will have different ##E##.
 
  • Like
Likes Adam Rifai
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

Similar threads

  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
3K
Replies
3
Views
1K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 102 ·
4
Replies
102
Views
7K
  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 55 ·
2
Replies
55
Views
6K