Is conservation of energy correct?

Click For Summary
SUMMARY

Conservation of energy is confirmed as a correct principle in physics. The discussion highlights a common misconception regarding the relationship between speed and the integral of the function 1/r^2. It clarifies that the integral of 1/r^2 is -1/r, not 1/3 * 1/r^3, which is crucial for understanding energy conservation in physical systems.

PREREQUISITES
  • Understanding of basic calculus, specifically integration techniques.
  • Familiarity with the concept of conservation of energy in physics.
  • Knowledge of inverse square laws and their applications.
  • Basic understanding of physics terminology related to motion and forces.
NEXT STEPS
  • Study the principles of energy conservation in classical mechanics.
  • Learn advanced integration techniques in calculus.
  • Explore the implications of inverse square laws in gravitational and electromagnetic fields.
  • Investigate common misconceptions in physics related to energy and motion.
USEFUL FOR

Students of physics, educators teaching energy conservation, and anyone interested in deepening their understanding of calculus and its applications in physical laws.

mlazos
Messages
48
Reaction score
0
my mistake
 
Last edited:
Physics news on Phys.org
Yes conservation of energy is correct.
 
mlazos said:
why the 2 speeds are different?

Because the integral of 1/r^2 is not 1/3 1/r^3 but rather -1/r

:wink:
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 44 ·
2
Replies
44
Views
4K