had him caught behind by Brad Haddin.
Debutant Gary Ballance (18) went just after lunch before Jonny Bairstow (18) and Ben Stokes (47) offered some resistance in a partnership of 49 for the seventh wicket.
When they were dismissed in one Siddle over, though, England's hopes of any kind of respectable score went with them.
England saved the follow-on and looked like they might just scramble to tea but Johnson returned to the fray and clean bowled Boyd Rankin, the third of the England new caps, for 13 to end the innings and bring up the break.
Stuart Broad, welcomed to the crease by a chorus of boos, scored 30 not out in a late flourish but England needed him to shine with the ball if they had any hope of saving the test.
Anderson made the first breakthroughs for the tourists, though, trapping Dave Warner lbw on his back foot for 16 and having Watson caught behind for nine.
Australia captain Clarke was Broad's first victim, feathering an edge behind for six, before first innings centurion Steve Smith (7) got a thicker edge on a Stokes delivery which Cook claimed in the slips.
Opener Rogers kept piling on the runs at the other end, though, and reached his sixth test half century in his 11th test with a single before upping the run rate even further.