If it is a Pentium M Processor, then I think it should be powerful enough. If its the 2ghz one it would be equivalent to a desktop Pentium 4 at around 3.4 ghz.
It means that the Turion ML37 is similar in power to a Pentium 4 3,7 Ghz. Marketing aside, looks like the Ferrari 4005 is more than adequate to run HD videos.