# Balancing Electric and Gravitational Forces Between Two Objects

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1. Jan 30, 2016

### DubbzWubbz

1. The problem statement, all variables and given/known data
Two small objects of equal mass 3.0g are placed a certain distance apart. How many electrons must be transferred from one to the other so that the electric force between them is equal to the gravitational force between them?

2. Relevant equations
Coulomb's Law: F = K (|q1||q2|)/r^2
Gravitational Force: F= GMm/r^2
3. The attempt at a solution

Well I assumed I was looking for a proportion between gravitational force and electric force which would allow me to decide the electrons necessary....so I attempted to set the two equations equal to each other, however, I really don't know what to do with this information or if it is even right. Could I get some advice on how to start appropriately.

2. Jan 30, 2016

### SteamKing

Staff Emeritus
You shouldn't let doubt and lack of self-confidence overwhelm you so early in doing your work.

Since you know the forces due to gravitational attraction and electrostatic charge are supposed to balance, how would you write that relationship in terms of the two laws governing these phenomena?

3. Jan 30, 2016

### DubbzWubbz

(GMm)/k = |q1||q2| ?

4. Jan 30, 2016

### haruspex

Yes. Assuming the objects are initially neutral, what is the relationship between q1 and q2?

5. Jan 30, 2016

### ehild

Read the problem How many electrons must be transferred from one to the other...

6. Jan 30, 2016

### DubbzWubbz

The product of the two charges are proportional to the force?

7. Jan 30, 2016

### haruspex

No, that's a relationship between the charges and the force, that you already found. I'm asking about a relationship just between the two charges. Read the question statement, and assume the two bodies are initially neutral.

8. Jan 30, 2016

### DubbzWubbz

If both q1 and q2 are neutral, there would be no attraction? I assume I am transferring electrons to create a charge.

(GMm)/kq2 = |q1| q1 is proportionate to GMm/k multiplied by 1/q2. Would q2 be the charge of an electron?

9. Jan 30, 2016

### haruspex

Initially neutral, before the transfer of electrons. What is net charge of the pair of objects after the transfer?

10. Jan 30, 2016

### SteamKing

Staff Emeritus
There are certain units associated with q1 and q2. You must use these units for the Coulomb's Law equation to work properly.

11. Jan 30, 2016

### DubbzWubbz

The net charge wouldn't change because charge is conserved?

12. Jan 30, 2016

### haruspex

Right, so what relationship does that give you between q1 and q2?

13. Jan 30, 2016

### DubbzWubbz

q1 = q2?

14. Jan 30, 2016

### haruspex

Not quite. If the two charges are q1 and q2, what is the total charge?

15. Jan 30, 2016

### DubbzWubbz

Wouldn't the total combined charge be 0? this way they are balanced?

16. Jan 30, 2016

### haruspex

Right, so express that as an equation in q1 and q2.

17. Jan 30, 2016

### DubbzWubbz

Do I incorporate this into the previous equation I had?

18. Jan 30, 2016

### haruspex

In post #13 you wrote q1=q2. That is not quite right. I'm just trying to get you to the right version of that. You wrote, correctly, in post #15, that the net charge will be zero. Express that as an equation using q1 and q2. I'm not asking for anything obscure here, it's very straightforward.

19. Jan 30, 2016

### DubbzWubbz

Are you asking for simply q1q2 = 0

20. Jan 30, 2016

### haruspex

That's so close I suspect a typo. Is that what you meant to write?