Two people, one of mass 75kg and the other of mass 60kg, sit in a rowboat of mass 80kg. With the boat initially at rest, the two people, who have been sitting at opposite ends of the boat, 3.2m apart from each other, exchange seats.
How far will the boat move?
and in what direction will the boat move?
The Attempt at a Solution
m1=75kg person initially on left end of boat.
m2=60kg person initially on right end of boat.
my origin is at the left end of the boat and the 75kg person is initially there.
xcm=(0)(75kg) + (3.2)(60kg) + (1.6)(80kg)/(75kg+60kg+80kg)
Now for my final(center of mass doesn't move)
1.4883m=x1m1+ x2m2 +xbmb/(m1+m2+mb)
1.4883m= (3.2m)(75kg) + (0)(60kg) + xb(80kg)/(215kg)
xb(final) = 1.004375m
Is this correct? Thanks!