How Does the Velocity of a Raft Change When Four Men Jump Off Simultaneously?

AI Thread Summary
When four men jump off a square-shaped raft simultaneously at 2 m/s, the conservation of momentum principle applies to determine the raft's center of mass velocity. Assuming the men have equal mass, their actions will affect the raft's motion in opposite directions. The discussion raises the complexity of calculating the raft's velocity based on the direction of the men's jumps and whether the reference point is the river or the land. Participants emphasize analyzing the momentum along each axis separately for clarity. The scenario highlights the importance of understanding relative motion in physics problems.
Akash47
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Moved from a technical forum, so homework template missing
Suppose four men are on a square shaped raft.All have jumped mutually perpendicularly into the river from the raft at velocity 2m/s at the same time. What will be the velocity of the center of mass of the raft?
The implied assumption is likely that the mass of the four men is same.
I think the conservation of momentum will work here.But I have drew the scenario and got that if I take two perpendicular sides as positive,then the other two sides will be negative.And also I couldn't relate the direction of the velocity of the four men.Please help me out.
 
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Conservation of momentum can be applied along each axis separately. So you only need to think about two men at a time.
 
Akash47 said:
What will be the velocity of the center of mass of the raft?

This could be a trick question. Velocity relative to the river or to the land?
 
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