Romeo (85.0 kg) entertains juliet (59.0 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 75.0 kg boat move toward the shore it is facing? m

0.7274 m

Explanation:

X denotes the distance from the reference point

M denotes the mass of the point

The center of mass of a system is given by

Taking the position of Juliet as the reference point

After the boat has moved the distance between the center of mass of the boat and the shore remains the same. The change is observed relative to the rear of the boat

The displacement of the boat towards the shore is

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.