Answer:
The same
Explanation:
The change in momentum of each cart is equal to the impulse given by the force applied on the cart:
[tex]\Delta p = I = F \Delta t[/tex]
where
F is the force applied
[tex]\Delta t[/tex] is the time during which the force is applied
The force applied to both carts (F) is the same, as well as the time ([tex]\Delta t[/tex]). This means that the change in momentum, [tex]\Delta p[/tex], is the same for both carts. But both carts start from rest (momentum = 0): this means that at the end, both carts will have exactly same momentum.