There is mention of this issue occurring on old nVidia cards, but it is happening on both my desktop's Radeon HD 5770, and my laptop's Geforce GT540M. I've looked through the ME forums, but didn't find anything helpful. After getting to the car chase segment, every time I reach the end of it, my screen blacks out, and I hear car background noises, but there's no picture and none of the controls respond.
I started the linear segment of Lair of the Shadow Broker, and saved while I was in there. Installing a cracked version of ME2 and/or Lair of the Shadow Broker apparently fixes it. However, other people have PMed me after running into the same issue, and according to some of them, it seems to be some sort of DRM related bug that affects some people who have purchased the game. I never fixed it myself, and instead had a friend play through the broken segment and send me the save file after it. EDIT: Apparently, this is one of the top search results for this issue now.