Who modded that down? He really should be using awk instead of cut. It has better readability: "{print $2}" to print the second field vs. a set of magic numbers denoting a character field. It's vastly easier to write (again, the "second field" is intuitive). It's also more generally useful, meaning that it's a better tool to know; cut is very primitive.

That said, there are better ways still to solve this problem. Some of them were detailed above. One that wasn't was the fact that GNU ps has lots of filtering options itself, in this case:

  ps -eo pid -U 1002

Does the work of the grep and cut from the original for you.

Why awk instead of cut?