The game's minimum specs say Nvidia 8600GT or better.
I'm pretty sure the 6150 is not in the 'better' category.
Anyway, if you want to check for yourself, go here:
Can You Run It?
In the second drop-down, search for the game (Black Ops is in there, I checked) and click the button. When something pops up asking to install a component, choose yes. (this is a small program that will make your system specs available to the website for comparison.)
Copy+Paste the results here.