prosecutors used Ms. Ross’s testimony to show Mr. Floyd’s humanity as a father, partner and friend.

Ms. Ross’s testimony also brought one of the most important aspects of the trial to the forefront: Mr. Floyd’s drug use. The role that drugs did or did not play in Mr. Floyd’s death is expected to be a crucial element of Mr. Chauvin’s defense, and prosecutors called Ms. Ross to the stand to get in front of the claims of Mr. Chauvin’s lawyer.

Ms. Ross said that she and Mr. Floyd had first been prescribed painkillers to ease chronic pain, but that when the prescriptions ran out, they continued to buy the pills from others. They had begun a battle for sobriety, sometimes avoiding the drugs before they relapsed again. In the weeks before Mr. Floyd’s death, Ms. Ross said, she suspected that he had begun using again.

offered scathing condemnation of Mr. Chauvin’s use of force. He said Mr. Chauvin violated police policy and called his actions “totally unnecessary.” Putting a knee on someone’s neck while they are handcuffed in a prone position, he said, qualifies as “deadly force.”

“If your knee is on a person’s neck, that can kill them,” Lieutenant Zimmerman said, adding that people who are handcuffed generally pose little threat to officers. Mr. Zimmerman’s testimony, bolstered by his more than 35 years on the force, could be a major setback for a crucial aspect of Mr. Chauvin’s defense — that his actions were not only legal, but within the bounds of his training.

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