Megan L.

asked • 02/17/17

Electrostatics

Two charges q1 = −3.20 nC and q2 = +8.15 nC are at a distance of 1.28 µm from each other. q1 is fixed at its location while q2 is released from rest.

(a) What is the kinetic energy of the charge q2 when it is 0.340 µm from q1?
 
(b) The charge q2 has a mass m2 = 7.85 µg. What is its speed when it is 0.340 µm from q1?
 
 
For part A, I thought I would have to use conservation of energy and to solve for final kinetic energy, but I'm confused how to go from there. If you could just steer me in the right direction with what equation(s) to use, I can take it from there. 

1 Expert Answer

By:

Megan L.

For potential energy, I need initial and final voltages right? How would I find those?
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02/17/17

Megan L.

Or can I use (kq1*q2)/r for the initial and final distances to find the potential energies?
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02/17/17

Steven W.

tutor
Hi Megan!  Not to step on Dr Gulshan's toes, but I think your last comment includes the best approach here.
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02/17/17

Dr Gulshan S.

tutor
Potential energy of a system of two charges is K( q1x q2) r
 
As the moving charge comes to its new position , its PE changes as value of distance r has changed.
 The change in PE is the difference of the two values.
 
Change in PE = K( q1x q2) / r1 - K (q1x q2) /r2
 
Which in turn is equal to KE of moving Charge
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02/17/17

Megan L.

Ok, thank you, it works.
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02/17/17

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