Safety Brandon Meriweather may have made the Pro Bowl the past two seasons, but it wasn’t enough to keep the Patriots from cutting him Saturday. He wasn’t out of work long, however. New England’s 2007 first-round pick signed with the Bears Sunday, the team announced.It’s a one-year contract, which suggests that the Bears aren’t completely convinced Meriweather is a long-term answer in the secondary. If anything, he adds depth and experience, something the Bears lost in Thursday night’s preseason finale when backups Craig Steltz and Chris Conte suffered a hip injury and a concussion, respectively. The Bears do not have to make a corresponding roster move to make room for Meriweather until he officially signs his contract. Meriweather, 27, started 40 games during his four-year stint in New England, recorded 261 tackles and 12 picks. However, his Patriots career might best be remembered for the vicious hit on Todd Heap during the 2010 season that led to a $50,000 fine and a vow to remain aggressive, “point blank.”