Go forth and answer!
Now there are some sites where this can lead to issues. For example, on StackOverflow a number of users race to be the first to post minimally helpful links, since that gets the most reputation per unit effort, resulting in a bunch of decidedly unhelpful tidbits that look like they were drawn from a live help session. As long as you are posting good, thorough answers, this isn't a problem.
Another concern on TeX is that there is a very small core of very good answerers (mostly the people who developed TeX and its brethren), and if they answer all the easy questions, new users will be discouraged from participating in the community. I doubt we will ever have that problem here. Between the number of questions we get and the breadth of topics they cover, no small group of people could answer them all (at least not well).
The only other catch I'll mention is that you should not just blindly answer things. Take a look around at what established users take to be good questions. For example, if someone posts their homework assignment expecting us to just do it for them, we (high-rep users) will close it, and probably throw a few downvotes at it too. Our efforts at keeping up the quality and integrity of this site are made more difficult when new users quickly post solutions to these questions before we react.
You should keep up your enthusiasm. My own experience is that after reaching 10k rep I grew far more picky in terms of which questions I would spend time answering. There are certainly posts where I know I could write a good answer, but I'm tired of explaining the same topic (e.g. the expansion of the universe) for the umpteenth time.