Call of Duty: Black Ops PC Minimum System Requirements:

OS: Windows® Vista / XP / 7
Processor: Intel® Core™2 Duo E6600 or AMD Phenom™ X3 8750 or better
Memory: 12 GB free hard drive space / 2GB RAM
Video Card: Shader 3.0 or better 256MB NVIDIA® GeForce® 8600GT / ATI Radeon® X1950Pro or better

Taken from the Call of Duty forums.

My processor isn't a 3 core like the AMD's require but the website I used says it should still run fine since I had BFBC2 and MW2 at high settings fine.

http://www.yougamers.com/gameometer/10424/

This site says I can run it fine.