Note that I will embed my answers within the original text to more directly answer the questions
I started studying physics recently and I got a question.
So newtons are the force that mass exerts when it moves.
A Newton is a unit of force. Forces are exerted on masses by other masses, but an individual mass does not exert a force on itself. Once an object is in motion at constant velocity, it does not need a force to keep it moving ... which is a major misconception that many people still have before they take a physics class.
let's suppose I have a ball that weighs 5 kg. On earth, this ball would weigh 49N since 9.8m x 1^-2 x 5kg = 49N
In a zero-gravity in space, (where there is no gravitational pull from earth) this ball would weigh 0N since 0m x 1^-2s x 5kg = 0N.
Weight is the force of gravity that the earth exerts on a particular object. That force can obviously vary, depending on where that object is, and how it is moving (e.g., as the object is moving in orbit, it is falling around the earth, and it is apparently weightless, but it STILL has its original mass.
So this means that if I want to push this ball 10m I would need 0J since 0N x 10m = 0J
This seems odd since you are creating motion without using energy (apart from the energy consumption in your body to push the ball)
A NET force is required to accelerate an object, whether it is in orbit or not.
You will see, from Newton's 2nd Law, that the force required to accelerate an object follows the equation F=ma. This law applies even on the surface of the earth, which you can verify by measuring the force that it takes to accelerate a given mass, horizontally across the floor. If you do this experiment on a very low friction surface (e.g., the object is on an air track or on wheels), you will see that F=ma applies.
Am I correct? probably not, again I started studying physics a couple of days ago.
See above. Also, READ your text book, as many times as is required to learn the key concepts, and KEEP AN OPEN MIND. Many first year physics students have "pet" concepts in mind that are totally incorrect, and it is almost impossible to get many of those students to reject that pet concept in favor of Newtonian mechanics. If you fall into that group, you will be unteachable, and your grade in your physics class will suffer accordingly.