Optimizing Energy Efficiency through Speed Ratio Analysis

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The discussion focuses on optimizing energy efficiency through speed ratio analysis, particularly in relation to understanding the center of mass in a system involving two boats. Participants express confusion about calculating speeds when only masses are provided and the implications for the center of mass when objects are in motion. The center of mass is noted to be initially at rest, raising questions about its movement when actions, like throwing balls, occur. There is also frustration over missing problem statements that hinder effective assistance. Overall, the conversation emphasizes the importance of clarity in problem-solving related to energy conservation and momentum.
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Conserving Energy

The Attempt at a Solution


I started out using the above formula, but I don't understand how to get the speeds when only the masses are given.
 
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When all is said and done, where is the center of mass of the system?
 
kuruman said:
When all is said and done, where is the center of mass of the system?

We haven't really discussed center of mass in detail in Momentum, but is it in between the two boats?
 
It is between the two boats, but that is not the point. It is initially at rest and you need to consider the question whether the center of mass will start moving or not when these guys start throwing balls around.

Why did you edit out the statement of the problem? How can I provide more help if I cannot see it?
 
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