The mass of an electron is 9.11 ×10^-31 kg, that of a proton is 1.67 ×10^-27 kg. Find the rati

step 1 Question here has asked is to find the ratio of the force between an electron and a proton, okay

The mass of an electron is 9.11 ×10^-31 kg, that of a...

The mass of an electron is $9.11 \times 10^{-31} \mathrm{~kg}$, that of a proton is $1.67 \times 10^{-27} \mathrm{~kg}$. Find the ratio $F_{e} / F_{g}$ of the electric force and the gravitational force exerted by the proton on the electron.

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Key Concepts

Physical Constants

Key physical constants, such as the Coulomb constant and the gravitational constant, are critical in both Coulomb’s law and Newton’s law. They provide the necessary scaling factors to accurately calculate the forces and understand how these two fundamental interactions compare in strength.

Force Ratio Comparison

Comparing the electric force to the gravitational force involves taking the ratio of the two force expressions. This ratio highlights the substantial difference in magnitude between electromagnetic and gravitational interactions, especially at the scale of fundamental particles.

Coulomb's Law

Coulomb's law defines the electric force between two charged objects. It states that the force is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them, which is essential for calculating the magnitude of electromagnetic interactions.

Newton's Law of Universal Gravitation

Newton's law of gravitation describes the gravitational force between two masses. It asserts that the force is directly proportional to the product of the masses and inversely proportional to the square of the distance between their centers, forming the basis for understanding gravitational interactions in classical physics.

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