How far will the raft move (center of mass problem)?

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SUMMARY

The problem involves a 32 kg boy walking on a 59 kg raft, which is 8 m wide. The boy moves from a position 1.0 m from the left edge to 1.0 m from the right edge. The correct calculation for the distance the raft moves is derived using the center of mass formula: x = (m1x1 + m2x2) / (m1+m2). After correcting a miscalculation, the final distance the raft moves is determined to be 2.33 m.

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Homework Statement



A 32 kg boy is standing on a 59 kg raft that is 8 m wide. He walks 6 m from a point 1.0 m from the left edge of the raft to a point 1.0 m from the right edge of the raft. If you ignore resistance of the water to the motion of the raft, how far does the raft move during this procedure

Homework Equations



x = (m1x1 + m2x2) / (m1+m2)

The Attempt at a Solution



x1 = (m1x1 + m2x2) / (m1+m2)
x1 = (32(1) + 59(4)) / (91)
x1 = 2.725

x1 = (m1x1 + m2x2) / (m1+m2)
x1 = (32(7) + 59(4)) / (91)
x1 = 5.055

x = 5.055 - 2.725
x = 2.33m

but it's wrong. anyone can help?
 
Last edited:
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nvm it was just a mis calculation, I got it now, thanks
 

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