Answer:
The have equal momentum
Explanation:
The change in momentum of each cart is equal to the impulse given to the cart:
[tex]\Delta v = I = F \Delta t[/tex]
where
F is the average force exerted on the cart
[tex]\Delta t[/tex] is the contact time
In this case, the force F applied to both carts is the same, and the contact time is the same for both carts (1 s). Therefore, the change in momentum of the two carts is the same.
However, both carts at the beginning have a momentum of zero (because they start from rest): this means that their final momentum will be equal, since they gain the same amount of momentum [tex]\Delta p[/tex].