- #1
Gunthi
- 65
- 1
Homework Statement
Two charged particles q1 and q2, both of m=10g:
q1-----O----------q2
|-5cm-||----10cm--|
q1=4 microC
q2=-2 microC
Find the velocity of q1 when it passes O.
Homework Equations
(for some reason latex isn't working on my browser)
a=dv/dt=(dv/dx).(dx
/t)=v.(dv/dx)
Both charges 'feel' the force:
m.a=K.(1/x)
K=q1q2/(4pi(e0))
x being the distance between the particles.
The Attempt at a Solution
v.dv=a.dx
integrating on both sides from the initial to the final states of the respective du's
(v^2)/2=-K(1/xf-1/xi)
In the same dt both travel the same dx, so if q1 is at 0 q2 must be at 5 cm from 0 so xf=5cm and xi=15cm.
Doing the math I get vf=13.8 m/s and I should be getting 4sqrt(6) m/s (aprox 9.8 m/s).
What am I doing wrong? Can anyone offer me new insight into this problem?
Cheers.