substr(column, instr(column, ' ') + 1)
edit (for second word only):
substr(col, instr(col, ' '), instr(col, ' ', instr(col, ' ') + 1) - instr(col, ' '))
edit again:
as pointed out by Colin, REGEXP_SUBSTR(col,'\S+',1,2)
might be a better way of doing this