Help me please?

Question

Romeo (85.0 kg) entertains Juliet (47.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from Juliet, who is in the front of the boat. After the serenade, Juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on Romeo's cheek.

(a)How far (in m) does the 81.0 kg boat move toward the shore it is facing?

 ______m

(b) If the lovers both walk toward each other and meet at the center of the boat, how far (in m) and in what direction does the boat now move?

magnitude _____ m

direction ______

Answer 1

A classic center of mass problem, select a reference point 1m in front Juliet to calculate the initial center of mass of the system, Juliet, Romeo and the boat. Recalculate the new center of mass of the system when Juliet and Romeo are together, them simply subtract to find the distance boat moved towards the shore.