Stephen asked in Science & MathematicsPhysics · 2 years ago

# According to gravity, why won’t electrons drop into the atomic nucleus inside an atom?

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• 2 years ago

This is similar to the earth orbiting the sun. In both situations the centripetal force is equal to the net force. I will use earth and the sun.

Fc = m * v^2 ÷ r

Fg = G * M * m ÷ r^2

m * v^2 ÷ r = G * M * m ÷ r^2

v^2 = G * M ÷ r

v = √G * M ÷ r

The mass of the sun is 1.991 * 10^30 kg. The distance from the earth to the sun is 1.496 * 10^11 meters.

v = √(6.67 * 10^-11 * 1.991 * 10^30 ÷ 1.496 * 10^11

v = √(1.327997 * 10^20 ÷ 1.496 * 10^11) = 29,793.672 m/s

The circumference of the circle is 2 * π * 1.496 * 10^11

To determine the time for the earth to orbit the sun, divide the circumference by the velocity

t = 2 * π * 1.496 * 10^11 ÷ 29,793.672

This is approximately 3.15 second

One year * 365 days/year * 24 hr/day * 60 min/hr * 60 s/min = 3.1536 * 10^7 seconds

Since these times are approximately equal to each other, this proves that the time is correct. If you did the same math for the electron and the nucleus, you would find the velocity of the electron.

• 2 years ago

Electron orbitals consist of resonant 3D standing wave patterns, which are much larger than the nucleus. Some of these do have a non-zero amplitude (probability of interaction) at the location of the nucleus. In some unstable atoms, in a process called K-capture, a proton may capture an electron to become a neutron.

• Anonymous
2 years ago

centripetal force

• 2 years ago

They have enough Velocity to produce Centrifugal force. that is all

Simple Physics

Source(s): I am an Atomic Scientist who likes explaining thing to the uninitiated
• Lv 5
2 years agoReport

If u an atomic scientist what the ***** you doin here!

• 2 years ago

The Heisenberg uncertainty principle does not allow an object with velocity (which an electron has) to be found inside a space as small as the nucleus of an atom.

• Lv 5
2 years agoReport

Heisenberg doesn't know jack ****

• goring
Lv 6
2 years ago

Electro static gravity pushes the electron into the Nucleus while the electron is moving. However it does not kiss the nucleus because temperature power is what repels the electron from the nucleus. This is something that Niels Bohr could not understand; that is the reason why he stated Quantum mechanics is not explicable.

• Lv 7
2 years agoReport

r

• oubaas
Lv 7
2 years ago

Quantum mechanics shall apply, not the classical one ....

• 2 years ago

Gravity is so weak that it is negligible in an atom. There is a smallest unit of angular momentum that an electron can have. It can't have zero.

• Amy
Lv 7
2 years ago

According to GRAVITY? Because the mass of a nucleus is unimaginably tiny compared to the mass of the entire planet which is pulling the electron in some other direction.

Gravity is the weakest of the fundamental forces.