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How far apart should the 2 electrons be, if the force each exerts on the other is equal to the weight of the electron? 1)5.08cm 2)5.08m 3)2.54m 4).254m?
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How far apart should the 2 electrons be, if the force each exerts on t...
Solution:
Given: Force exerted by one electron on the other = weight of electron
Let the distance between the two electrons be d.
Force between two electrons is given by Coulomb's law:
F = (1/4πε₀) * (e²/d²)
where ε₀ is the permittivity of free space and e is the charge on one electron.
Weight of an electron is given by:
W = mg
where m is the mass of the electron and g is the acceleration due to gravity.
Equating the two forces, we get:
(1/4πε₀) * (e²/d²) = mg
Solving for d, we get:
d = √((1/4πε₀) * (e²/mg))
Substituting the values of constants, we get:
d = √((9 x 10^9 Nm²/C²) * (1.6 x 10^-19 C)² / (9.1 x 10^-31 kg * 9.8 m/s²))
d = 5.08 cm
Therefore, the distance between the two electrons should be 5.08 cm.
Answer: 1) 5.08 cm
Given: Force exerted by one electron on the other = weight of electron
Let the distance between the two electrons be d.
Force between two electrons is given by Coulomb's law:
F = (1/4πε₀) * (e²/d²)
where ε₀ is the permittivity of free space and e is the charge on one electron.
Weight of an electron is given by:
W = mg
where m is the mass of the electron and g is the acceleration due to gravity.
Equating the two forces, we get:
(1/4πε₀) * (e²/d²) = mg
Solving for d, we get:
d = √((1/4πε₀) * (e²/mg))
Substituting the values of constants, we get:
d = √((9 x 10^9 Nm²/C²) * (1.6 x 10^-19 C)² / (9.1 x 10^-31 kg * 9.8 m/s²))
d = 5.08 cm
Therefore, the distance between the two electrons should be 5.08 cm.
Answer: 1) 5.08 cm
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How far apart should the 2 electrons be, if the force each exerts on t...
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