# Derive a formula for calculating the velocity?

Centripetal force; Fc= mv^2/ r

coulomb force; Fem=kq1q2/r^2

derive a formula for calculating the velocity necessary to keep the electron in orbit.

(solve for 'v' using absolute values of charge)

Please show me the steps

thank you

### 1 Answer

Relevance

- AshLv 71 month ago
Fc = mv²/r

v² = Fc r/m ............(1)

Fem = kq₁q₂/r²

r² = kq₁q₂ / Fem

r = √(kq₁q₂ / Fem) ...(2)

plug (2) in (1)

v² = (Fc/m) [√(kq₁q₂ / Fem)]

v = √ {(Fc/m) [√(kq₁q₂ / Fem)]}

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