What is the new distance between the man and the shore after he switched seats?

AI Thread Summary
The discussion revolves around a physics problem involving a man in a boat who switches seats and subsequently finds himself farther from the shore. Initially, the man is 35 feet from the shore, with the boat's mass at 270 lbs and the man's mass at 190 lbs. The center-of-mass equation was attempted to determine the new distance after the man switched seats, but the initial calculation was incorrect. The user eventually resolved the issue independently. The key takeaway is understanding how the center of mass affects the position of the boat relative to the shore after the man changes his seating position.
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Homework Statement


A man decides to boat out on the lake for a relaxing day of fishing. At one point during the day, he finds himself facing the shore. He judges that he is a distance Dinit = 35 ft from the shore. The man has a mass of Mman = 190 lbs, and the boat a mass of Mboat = 270 lbs. The boat has two seats each located a distance x = 5 ft from the center of the boat.

Homework Equations


Where is the center-of-mass of the man-boat system relative to the shore?
Deciding that more fish are to be found closer to shore, the man switches to the other seat. Assume there is no friction between the boat and the water. After switching seats, the man realizes that the boat has moved farther from the shore.

What is the new distance between the man and the shore after he switched seats?

The Attempt at a Solution


Xcm=X1*M1+X2*M2/(M1+M2)
Xcm=35*190+(35-5)*270/(190+270)
This is not the correct answer. What equation am i suppose to use?
 
Last edited:
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nevermind i figured it out
 
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