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## Homework Statement

Equation for a particle moving in one dimension with potential energy U(x):

t=[tex]\int[/tex]1/[tex]\sqrt{2(E-U(x))/m}[/tex] , integrated from x0 to 5x0

Suppose U(x)=c/x for x>0. Calculate the time for the particle to move from x0 to 5x0, starting from rest at x0. Leave the answer in terms of m,c,x0

## Homework Equations

E=mv

^{2}/2-U(x)

U(x)=c/x for x>0

## The Attempt at a Solution

I've been working on this for a few hours, subbing E and U(x) out will give an integral w/ a denominator of:

[tex]\sqrt{2(mv

^{2}/2-2c/x)/m}[/tex]

however that now puts a v into the mix and it specificaly says "solve in terms of m,c, x0". Should i be replacing v with an equation for velovity or somthing? this integral is getting way nasty.