A horizontal force of 12N is applied to a 4kg cart that is lightly connected by a string to a 2kg cart on a frictionless track. While the force is applied, what is the magnitude of the acceleration of the center of mass of the two-cart system?
a) 3.0m/s2
b) 2.0m/s2
c) 1.5m/s2
d) 4.0m/s2