What is the kinetic energy of the center of mass

[emily081715]

Homework Statement

Two 0.50-kg carts are pushed toward each other from starting positions at either end of a 6.0-m low-friction track. Each cart is pushed with a force of 2.9 N , and that force is exerted for a distance of 1.0 m.
What is the kinetic energy of the center of mass of the system?

Homework Equations

=1/2mvcm^2

The Attempt at a Solution

1/2(0.5)(2.4/6.0)
=0.04
i don't know how to find speed so i know this is wrong

 

[robphy]

Where is (what is the position of) the center of the mass at the beginning?
(It might help to find the total momentum vector of the system.)

 

[emily081715]

Where is (what is the position of) the center of the mass at the beginning?
(It might help to find the total momentum vector of the system.)

i'm not sure, wouldn't it just be 3 m

 

[robphy]

Where is the center of mass (say) 0.1s later?