BERLIN — Chancellor Angela Merkel on Wednesday set in motion a plan for Germany to begin lifting social and economic restrictions in place because of the coronavirus, even as she warned that the road ahead would look less like a return to normal than a way to live with a pandemic that has overturned ordinary life.

The chancellor, a physicist by training, was typically restrained and focused on the science as she announced the government’s cautious step-by-step plan, for which she had won the agreement of regional leaders in Germany’s diffuse federal system.

Shorn of any bravado, her announcement seemed again to make Germany, Europe’s biggest economy, a de facto leader on the Continent and something of an example for Western nations looking to navigate the tricky course of rebooting economic activity and fighting the virus.

Her approach stood in stark contrast to the fraught political divisions in the United States, where state authorities have often been at odds with President Trump, who has made forceful but erratic predictions about the virus.