What distance does a canoe move when a woman walks across it?

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Homework Help Overview

The problem involves a woman walking across a canoe and examines the resulting movement of the canoe due to conservation of momentum and the center of mass. It is situated within the context of mechanics, specifically focusing on motion and forces in a closed system.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conservation of momentum and the implications for the center of mass of the system. There are attempts to relate the movement of the canoe to the woman's walking distance, with some questioning how to express this relationship mathematically.

Discussion Status

Some participants have provided hints regarding the center of mass and its relevance to the problem. There is an acknowledgment of the importance of visualizing the situation through diagrams, and a sense of encouragement is present as participants engage with the concepts.

Contextual Notes

The discussion assumes that external forces, such as water resistance, are negligible, and focuses on the internal dynamics of the system. There is an emphasis on maintaining the center of mass position throughout the woman's movement.

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Homework Statement



A 45.0-kg woman stads up in a 60-kg canoe 5.00 m long. She walks from a point 1.00 m from one end to a point 1.00 m from the other end. If you ignore resistance to motion of the canoe in water, how far does the canoe move during this process.

Homework Equations



p=mv
J=p2-p1
p1=p2

The Attempt at a Solution



I guess I should try to make the momentum before and after equal, but I don't know how to relate that to the distance.
 
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Since there is no external force acting on the system in the direction of motion, you can use the fact that the position of center of mass remains unchanged. Draw out a diagram, and frame equations making sure that the COM stays same.
 
hi anthonych414! :smile:

hint: what happens to the centre of mass? :wink:
 
Right, the center of mass! I can't believe I didn't think of it! I feel silly... Anyway thanks for the help guys :D
 

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