1. derive an expression for the energy needed to launch an object from the surface of earth to a height h above the surface.
express your answer in terms of some or all of the variables h, mass of the object m, mass of earth me, its radius re, and gravitational constant g.

2. ignoring earth's rotation, how much energy is needed to get the same object into orbit at height h?
express your answer in terms of some or all of the variables h, mass of the object m, mass of earth me, its radius re, and gravitational constant g.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.

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.