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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Rocket observations show that dust particles in Earth’s upper atmosphere are often electrically charged. (a) Find the distance separating two dust particles if each has a charge of +e and the Coulomb force between them has magnitude 1.00 × 10−14 N. (b) Calculate the mass of one of the dust panicles if this Coulomb force would accelerate it at 4.50 × 108 m/s2. (In the upper atmosphere, effects from other nearby charges typically result in a small net force and acceleration.)

(a)

To determine
The distance of separation.

Explanation

Given info: The Coulomb force is 1.00×1014N . The charges q1 and q2 are e.

From Coulomb’s Law,

F=ke|q1||q2|r2 (I)

  • ke is the Coulomb constant.
  • q1 and q2 are the charges.
  • r is the distance of separation.

From (I),

r=ke|q1||q2|F

Substitute 8.99×109N.m2/C2 for ke , 1.6×1019C for q1 , 1

(b)

To determine
The mass of one of the dust particles.

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