How Far Does the Boat Move When Juliet Joins Romeo at the Rear?

AI Thread Summary
When Juliet moves to the rear of the boat, the system's center of mass remains unchanged due to the absence of external forces. The combined mass of Romeo and Juliet is 138.3 kg, while the boat weighs 80.5 kg. As Juliet shifts her position, the boat will move toward the shore to maintain the center of mass. The exact distance the boat moves can be calculated using the center of mass equation. This problem illustrates the principle of conservation of momentum in a closed system.
Chuck 86
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Homework Statement


Romeo (80.3 kg) entertains Juliet (58.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.73 m away from Juliet who is in the front of the boat. After the serenade, Juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on Romeo's cheek. How far does the 80.5 kg boat move toward the shore it is facing?


Homework Equations



Xcm=m1x1+m2x2+m3x3
m1+m2+m3


The Attempt at a Solution


i don't really know what I am doing on this problem because the professor didnt explain very well...at all
 
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Hi Chuck 86! :smile:

There are no (horizontal) external forces on the boat-and-Romeo-and-Juliet, so its centre of mass will stay in the same place! :wink:
 
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