How Do You Calculate Potential Energy in a One-Dimensional Interaction?

[phyzz]

Homework Statement

Consider a one-dimensional interaction of two bodies with equal masses m. The
interaction is governed by a conservative force. The linear momentum of one of the bodies is equal to p1 = Pexp(-kx) and that of other body is equal to p0 at (infinity). Find the potential energy as a function of distance x between these bodies (the potential is equal to zero at infinity). Determine the force acting between the bodies.

The Attempt at a Solution

I don't even know where to begin :( I don't know what exp means. I'm assuming the collision is elastic because it says that the interaction is governed by a conservative force. I guess there's something to do with limits because of the 'infinity' clue? I can't find anything relevant in my textbook (Giancoli Physics for Scientists and Engineers volume 4) Any help is appreciated, thank you!

 

[GRice40]

I don't know how to solve the problem, but Pexp(-kx) would probably mean P^(-kX). (P raised to the negative kx). K should be some kind of constant, while x is most likely the distance between the objects, or some other form of variable distance.

Sorry I can't help more, but that should at least give you a hint as to what you're supposed to be working towards.