Concept explainers
a. How is Coulomb’s law similar to Newton’s law of gravitation?
b. How are the two laws different?
a.
To explain: The similarity between Coulomb’s law and Newton’s law of gravitation
Introduction:
The mathematical expression for Coulomb’s law is,
The mathematical expression for Newton’s law of gravitation is,
Explanation:
From the relation of Coulomb’s law, it is observed that force is directly proportional to product of two charges but it has a inverse relationship with the distance square between the two charges.
From the relation of Newton’s law of gravitation, it is observed that force is directly proportional to product of two masses but it has a inverse relationship with the distance square between the two masses.
Newton’s law of gravitation and coulomb law both, obey the inverse square law. Both are central forces. Both are conservative forces. Both the law gives the expression of forces by two object.
b.
To explain: The difference between the Newton’s law of gravitation and coulomb’s law.
Introduction:
The mathematical expression for Coulomb’s law is,
The mathematical expression for Newton’s law of gravitation is,
Explanation:
From the relation of Coulomb’s law, it is observed that force is directly proportional to product of two charges but it has a inverse relationship with the distance square between the two charges.
From the relation of Newton’s law of gravitation, it is observed that force is directly proportional to product of two masses but it has a inverse relationship with the distance square between the two masses.
The nature of the force due to Newton’s law of gravitation is only attractive, while the nature of the force due to coulomb law can be attractive or repulsive. The coulomb’s law exists between two charged particles, while the Newton’s law of gravitation exists between two masses.
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