# Can you merge these equations and get acceleration

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1. Jun 11, 2015

### locika

m*a=k*Q1*Q2/r
equalizing newton's first law and coulomb's force to get acceleration of the specific charged body.

2. Jun 11, 2015

### brainpushups

I see one equation. And yes, solving for acceleration is as simple as dividing one factor to the other side (note: you are missing the square on your factor 'r').

3. Jun 11, 2015

### locika

Thanks, and because force changes across distance then acceleration wouldn't be constant so is this a valid formula

4. Jun 11, 2015

### Noctisdark

I trield very hard to solve this equation, i came up with numerical solution, but the exact solution is a bessel x'' = kQq/(x^2 + y^2), a second order differential equation, good luck !

5. Jun 11, 2015

### rcgldr

6. Jun 11, 2015

### hackYou

For sure there are more competent members here to answer this but I don't think it is possible to merge these two equations since ther nature of the two forces involved is different.

7. Jun 11, 2015