Rocket observations show that dust particles in Earth's upper atmosphere are often electrically charged.

(a) Find the distance separating two dust particles (in m) if each has a charge of + e and the Coulomb force between them has magnitude 1.35 ✕ 10 ⁻¹⁴ N.

(b) Calculate the mass (in kg) of one of the dust particles if this Coulomb force would accelerate it at 4.20 ✕ 10 ⁸ m/s ² . (In the upper atmosphere, effects from other nearby charges typically result in a small net force and acceleration.)

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