Find average velocity of a sphere which expands and moves

AI Thread Summary
The discussion revolves around calculating the average velocity of a moving and expanding spherical shell, where participants debate the correct approach to the problem. It is clarified that the expansion velocities do not cancel out unless considering the center of mass, leading to confusion about the kinetic energy calculations. Participants emphasize that energy is a scalar quantity, and the average kinetic energy cannot simply be derived from squaring the average velocity. The conversation also touches on the complexity of using integrals and the importance of symmetry in simplifying the problem. Ultimately, the need for a correct mathematical framework to solve the problem is highlighted.
  • #101
Quarlep said:
I was banned so I couldn't answer over a 10 days I found 4p(pi)r^2((v'^2)+v^2)
I think it should be exactly half that.
Note that the factor outside the parentheses is just the mass.
 
Physics news on Phys.org
  • #102
Thank you so much. Problem is solved now.
 

Similar threads

Momentum: instantaneous or average?
Replies
9
Views
1K
Two Equations for Average Velocity?
Replies
2
Views
2K
Calculate Distance Traveled: Instantaneous vs. Average Velocity
Replies
5
Views
2K
Find velocity-time equation from velocity-position equation
Replies
11
Views
2K
Bead on a rod which is being pulled by an ideal string with velocity v
Replies
27
Views
935
Brownian Ratchet (exercise framed by Feynman's Lectures, l. 46)
Replies
32
Views
2K
Calculating average velocity for this kind of motion
Replies
3
Views
1K
How Does Rocket Ejection Mass Affect Its Velocity in Space?
Replies
1
Views
2K
Calculating the velocity of a head-on impact between two suns
Replies
6
Views
2K
Calculating Velocity when Stuntman Jumps from 1.25m Height
Replies
30
Views
2K

Hot Threads

Recent Insights

Back
Top