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Q. 14

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 624

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Short Answer

Two small plastic spheres each have a mass of 2.0 g and a charge of -50.0 nC. They are placed 2.0 cm apart (center to center).

a. What is the magnitude of the electric force on each sphere?

b. By what factor is the electric force on a sphere larger than its weight?

a. The magnitude of the electric force on each sphere is

b. the electric force on a sphere larger than its weight is

See the step by step solution

Step by Step Solution

Step 1: Content Introduction

When we have two charged particles, we can say that one of them has charge and another has charge and far apart with distance , the two particles exert forces on each other where the force decrease with the increase in the distance and increase with the increase in magnitude.

Step 2: Explanation (Part a)

Using Coulomb's rule

where K is electrostatic constant which is given by

The charge of each sphere is given by . Convert the unit into Coulomb by

Substitute the values in the above equation of Coulomb's law

Step 3: Explanation (Part b)

Newton's second law states that the weight equals the mass times gravitational acceleration

where, is the mass, is acceleration due to gravity

The ration between the electric force and its weight is

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