Alyssa Ramsey and Anne Morrell had first half goals for the Tar Heels (4-0-1) as UNC staked claim to a 2-1 halftime lead.
Sunday's game started 30 minutes late because of the rain and was halted once in the first half by lightning.
On Friday, the Tar Heels also defeated Texas A&M 4-1 on the strength of three goals from three freshman.
UNC received the benefit of the first career goals from freshmen midfielders Lori Chalupny and Kacey White, as well as freshman forward Lindsay Tarpley's fourth goal of the season and Ramsey tallied her fifth goal of the season.
Men's Soccer Back on Track With Win
PROVIDENCE, R.I. - Ryan Kneipper had a goal and an assist to lead the North Carolina men's soccer team to a 5-0 victory over Brown on Sunday at the adidas/Brown soccer Classic.
The win breaks a two-game losing streak for UNC, which lost to Yale on Friday and to Davidson on Sept. 7.
The Tar Heels got on the board early when midfielder Matt Crawford stole the ball from a Brown defender, dribbled in and fired a shot past goalkeeper David Mahoney at the 8:06 mark.
UNC (4-2) opened a 2-0 lead when Kneipper dribbled down the left side, crossed to Jonathan Davis, who headed the ball into the net at the 28:29 mark.