A(n) 64 kg boat that is 8 m in length is initially 8.5 m from the pier. A 32 kg child stands at the end of the boat closest to the pier. The child then notices a turtle on a rock at the far end of the boat and proceeds to walk to the far end of the boat to observe the turtle.
Assume: There is no friction between boat and water.
How far is the child from the pier when she reaches the far end of the boat?
I am not quite sure if this is a Center of Mass question, but if it is the equation is:
X = m1*x1 + m2*x2/m1 + m2
m = mass
x = distance
The Attempt at a Solution
I really don't know where to begin with this problem. I just need a little push or hint to catalyst the problem solving process.
I understand that when the child is at the far end of the boat he will be 16.5 m away from the pier, but I'm not sure what to do next.