run (different definitions)

Question

i know that traditionally, the word "run," as in the physical activity, is "correr." but how is "run" used with other meanings such as these:

-He's RUNNING for president.
-There's a RUN in your stocking.
-They are going to RUN out of food.
-In the long RUN, it'll all work out.
-That 12 year old is a RUNAWAY.