Two small metal spheres are 25.0 cm apart. The spheres have equal amounts of negative charge and

step 1 As we all know that magnitude of force is given by the formula 1 by 4 pi e0 multiplication Q1 Q2

Two small metal spheres are 25.0 cm apart. The spheres have...

Two small metal spheres are $25.0 \mathrm{cm}$ apart. The spheres have equal amounts of negative charge and repel each other with forces of magnitude $0.036 \mathrm{N}$. What is the charge on each sphere?

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Key Concepts

Unit Consistency and Conversion

Maintaining consistent units across calculations is essential in physics to ensure accurate results. Converting measurements such as distance into standard units (e.g., converting centimeters to meters) before applying laws like Coulomb's law is a necessary skill in problem-solving.

Inverse-Square Relationship

The inverse-square relationship is a key mathematical feature in Coulomb's law, indicating that the force between two charges decreases rapidly as the distance between them increases. This concept is critical in understanding the spatial dependence of electrostatic interactions in various physical contexts.

Electric Charge

Electric charge is an intrinsic property of matter that determines how it interacts with other charges via electromagnetic forces. Charges can be positive or negative, and like charges repel while opposite charges attract, which is the basis for the force interactions described by Coulomb's law.

Coulomb's Law

Coulomb's law is a fundamental principle in electromagnetism that quantifies the electrostatic force between two point charges. It states that the magnitude of the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them, with a constant of proportionality known as Coulomb's constant.

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