You should be able to play, here are the minimum requirements:
Minimum Requirements:
CPU : Intel P4/NetBurst Architecture or its AMD Equivalent (AMD K7)
RAM : 2GB
GPU : Intel GMA 950 or AMD Equivalent
HDD : At least 90MB for Game Core and Sound Files
Java Runtime Environment (JRE) 6 or up is required to be able to run the game.
from: http://help.mojang.com/customer/portal/articles/325948-what-are-the-system-requirements-
Make sure your other components are up to the task, but you should have no problems.
Happy gaming