The momentum of the two carts will be the same
Explanation:
First of all, we notice that the system consisting of the two carts + the spring is an isolated system: this means that there are no external forces acting on it.
As a result, the total momentum of the system must be conserved.
Since the spring is at rest, the total momentum of the system after the two carts are released is:
where
is the momentum of the 1st cart
is the momentum of the 2nd cart
The total momentum of the system at the beginning, when the spring is compressed, is zero:
Since the total momentum must be conserved, we have:
Which means that the two carts will have equal and opposite momenta.
Learn more about momentum:
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Electrostatic potential energy of a system of charge is given by
here we have
= two charges of different magnitudes
r = distance between charges
so here we can see that electrostatic potential energy will depends upon the product of two charges and inversely depends upon the distance between the two charges
So here we can say that the electrostatic potential energy of two charges will be same and equal to each other