Rocket observations show that dust particles in Earth\'s upper atmosphere are of

Question

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 1014 N.

Ans. m

(b)Calculate the mass (in kg) of one of the dust particles if this Coulomb force would accelerate it at 4.20 108 m/s2. (In the upper atmosphere, effects from other nearby charges typically result in a small net force and acceleration.)

Ans. kg

Explanation / Answer

a) we know,

F=k*q1q2/r2

r=sqrt(k*k*q1q2/F)=sqrt(9*109*1.6*1.6*10-38 / (1.35*10-14))

r=1.306*10-7 m

b) F=ma

m=F/a =(1.35*10-14)/(4.20*108)

m=3.214*10-23 kg

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