(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

So this is my first post and, I've been working on this problem for a while and am having trouble wrapping my head around it... I tried searching but couldn't find anything that helped..

So here's the problem.

In one dimension, the magnitude of the gravitational force of attraction between a particle of mass M1, and one of mass M2 is given by:

F_{x}(x)=GM_{1}M_{2}/x^{2}

Where G is a constant and x is the distance between the particles.

a) What is the potential energy function U(x)? Assume that U(x) -> 0 as x -> infinity.

b) How much work is required to increase the separation of the particles from x=x_{1}to x=x_{1}+d?

2. Relevant equations

-dU(x)/dx=F_{x}(x)

3. The attempt at a solution

The solution given in the book is..a) U(x)=-Gm_{1}m_{2}/x

b) Gm_{1}m_{2}d/x_{1}(x_{1}+d)

Here is what I've been trying..

-dU(x)/dx=Gx_{1}x_{2}/x^{2}

U(x)-U(x_{0})=-[tex]\int[/tex](Gm_{1}m_{2}/x^{2})dx

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# Homework Help: Potential Energy HW problem - Help

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