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

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SUMMARY

In the discussion regarding the physics problem of a boat moving when Juliet joins Romeo, it is established that the center of mass (Xcm) of the system remains unchanged due to the absence of external horizontal forces. The masses involved are Romeo at 80.3 kg, Juliet at 58.0 kg, and the boat at 80.5 kg. The formula for the center of mass is applied, confirming that the boat does not move toward the shore as Juliet moves to the rear.

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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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