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Do you mean, can they be in either order? Yes. It's the order of the integral signs that defines the order of integration (inside first).Quarlep said:
Find average velocity of a sphere which expands and moves
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Homework Help Overview
The discussion revolves around finding the average velocity of a sphere that is both expanding and moving. The original poster presents a scenario involving a shell with a radius R, an expansion velocity v, and a movement velocity v'. Participants explore the implications of these velocities on the average velocity of the shell.
Discussion Character
- Mixed
Approaches and Questions Raised
- Participants discuss the concept of average velocity in the context of a moving and expanding shell, with some suggesting that expansion velocities cancel out while others question this assumption. There are attempts to clarify the distinction between speed and velocity, particularly regarding the vector nature of these quantities.
Discussion Status
The discussion is ongoing, with participants raising questions about the relationship between the shell's expansion and movement velocities. Some guidance has been offered regarding the conceptual understanding of kinetic energy and the need for careful consideration of integrals in the context of the problem.
Contextual Notes
There is a noted complexity in the problem, particularly regarding the integration of velocities and the distinction between kinetic energy of the shell and the sphere. Participants express uncertainty about the correct equations and methods to apply, indicating a need for further exploration of the topic.