The minimum system requirements for RCT2 are:

Operating System: Windows 98/Me/2000/XP

Processor: Pentium® II 300 MHz or equivalent 

Memory: 64 MB RAM

Hard Disk Space: 100 MB Free

CD-ROM Drive: 4X or higher

Video Card: 4MB Windows® 98/ME/2000/XP compatible video card.

Sound Card : Windows® 98/ME/2000/XP compatible sound card.

Drivers : Must be DirectX® version 8 or higher compatible