A 45.0-kg woman stands up in a 60.0-kg canoe of length 5.00 m. She walks from a point 1.00 m from one end to a point 1.00 m from the other end.
If you ignore resistance to motion of the canoe in the water, how far does the canoe move during this process?
center of mass = (m)(x_1) + (M)(x_2) / (m + M)
m = mass of woman
M = mass of boat
The Attempt at a Solution
Momentum is conserved right? Because there's no horizontal force. I set my y coordinate where the woman started walking. I plugged in:
center of mass: .9m (I'm not sure about this. I used the woman's weight + boat's weight versus the weight of the boat at another end.)
x_1 = 3m
m = 45kg
M = 60kg
x_2 = What I'm trying to find....
What else am I missing?