Solving the Boat Movement After Romeo & Juliet's Kiss: 0.7m

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Homework Help Overview

The problem involves analyzing the movement of a boat when one person, Juliet, moves towards another person, Romeo, on the boat. The scenario includes the weights of both individuals and the boat, with a focus on the conservation of the center of mass in a closed system.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of the conservation of the center of mass and question how the movement of Juliet affects the boat's position. There are attempts to clarify the relationship between forces acting on the system and the resulting movement.

Discussion Status

Some participants have provided hints and guidance regarding the assumptions necessary for solving the problem, particularly about the forces acting on the system. There is an ongoing exploration of the concepts involved, with no explicit consensus reached yet.

Contextual Notes

The discussion includes considerations of the system being closed and at rest initially, as well as the assumption that external forces from the water are negligible.

Satoy
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I've got most of the problem completed but I need a little help on the last little bit. Julet moves across the boat 2.7m to romeo to give him a kiss. Romeo and the boat weigh 157 kg and Julet weighs 55 kg. How far does the boat move. The boat is at rest before hand.

The answer is .7m and I have no idea how the book got that.
 
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Hint: If you assume that the water exerts no (horizontal) force on the boat, then the center of mass of the "boat + Romeo + Juliet" cannot move.
 
Oh ok you just put me in the right state of mind, I got it now.
 
Let me see if I am right the F to move Juliet needs to be applyed to the total system right?
 
Yes.From there,the answer is simple to find.

Daniel.
 
Satoy said:
Let me see if I am right the F to move Juliet needs to be applyed to the total system right?
Not sure what you are saying here. The net force on the total system is zero.

Think like this. Before Juliet moves, the center of mass of the total system is at some point on the boat. Mark that point with an X. When Juliet moves, where is the new center of mass with respect to that X?
 

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