The mass of an electron is 9.1 ×10^-31 kg . The mass of a proton is 1.7 ×10^-27 kg . An electron

step 1 In this problem, we have to calculate the gravitational force of attraction between electron and

The mass of an electron is 9.1 ×10^-31 kg . The mass of a...

The mass of an electron is $9.1 \times 10^{-31} \mathrm{kg} .$ The mass of a proton is $1.7 \times 10^{-27} \mathrm{kg} .$ An electron and a proton are about $0.59 \times 10^{-10} \mathrm{m}$ apart in a hydrogen atom. What gravitational force exists between the proton and the electron of a hydrogen atom?

Key Concepts

Subatomic Particle Mass

Understanding the mass values of subatomic particles, such as electrons and protons, is crucial when calculating gravitational forces at atomic scales. Although these masses are incredibly small and the resulting gravitational forces are negligible compared to electromagnetic interactions, they are fundamental parameters in the application of classical gravitational theory.

Inverse Square Law

This concept explains that the gravitational force diminishes with the square of the distance between two objects. As the separation increases, the force decreases rapidly, underscoring why gravitational interactions at very small scales, such as between subatomic particles, are extremely weak compared to other forces.

Gravitational Constant (G)

The gravitational constant is a fundamental physical constant that quantifies the strength of the gravitational force in Newton's law of gravitation. It serves as the proportionality factor in the equation, allowing the calculation of the gravitational force based on the masses involved and their separation distance.

Newton's Law of Universal Gravitation

This principle states that every pair of masses in the universe attracts each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them. It is mathematically expressed as F = G * (m1 * m2) / r², where F is the force, G is the gravitational constant, m1 and m2 are the masses, and r is the distance between the centers of the two masses.

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