   Chapter 15, Problem 3P

Chapter
Section
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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