If the forces are equal and opposite why does the rocket
ship move?

If there are two forces acting on a rocket, and the forces are equal and opposite, then they add up to zero, and there is no NET force at all on the rocket.

Then the rocket can only move at a constant speed in a straight line.  It can't have any acceleration (change of speed or direction.)

answer; i believe the correct answer is (40,000 j) good luck

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.