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ollegr [7]
3 years ago
5

The most common isotope of hydrogen contains a proton and an electron 'separated by about -11-27 5.0 x 10 m. The mass of proton

is approximately 1.7 x 10 kg. The mass of the electron is -31 approximately 9.0 x 10 kg. a) Use Newton's law of universal gravitation to calculate the gravitational force between the electron and proton in the hydrogen atom. -19 b) Use 1.6 x 10 C as the elementary unit of charge to determine the force of attraction between the two particles. How many orders of magnitude greater is the electric force between the two particles than the gravitational force between the two particles
Physics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

A)   F_g = 4.05 10⁻⁴⁷ N, B)   F_e = 9.2 10⁻⁸N, C)    \frac{F_e}{F_g} = 2.3 10³⁹

Explanation:

A) It is asked to find the force of attraction due to the masses of the particles

Let's use the law of universal attraction

            F = G \frac{m_1m_2}{r^2}

let's calculate

            F = 6.67 \ 10^{-11} \ \frac{9.1 \ 10^{-31} \ 1.67 \ 10 ^{-27} }{(5 \ 10^{-11})^2 }

            F_g = 4.05 10⁻⁴⁷ N

B) in this part it is asked to calculate the electric force

Let's use Coulomb's law

            F = k \  \frac{q_1q_2}{r^2}

let's calculate

            F = 9 \ 10^9 \  \frac{(1.6 \ 10^{-19} )^2}{(5 \ 10^{-11})^2}

             F_e = 9.2 10⁻⁸N

C) It is asked to find the relationship between these forces

        \frac{F_e}{F_g} = \frac{9.2 \ 10^{-8} }{4.05 \ 10^{-47} }

        = 2.3 10³⁹

therefore the electric force is much greater than the gravitational force

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The average electric current in the lightning will be 8 × 10^{-17} A

<h3>Why Lightning Conductors on top of a tower ?</h3>

The lightning conductors are long metal strips running from the spike end of a conductor on the top of a building to the earth. They are used to prevent buildings from destruction when struck by thunder or lightning.

Given that a lightning strike can transfer as much as electrons from the cloud to the ground. if the strike lasts 2ms, to calculate the average electric current in the lightning, we will first consider the charge released.

one charge = 1.6 × 10^{-19} C

Average current I = Q/t

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Substitute all the parameters into the formula

I = 1.6 × 10^{-19} C ÷ 2 × 10^{-3}

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Therefore, the average electric current in the lightning will be 8 × 10^{-17} A

Learn more about Lightning here: brainly.com/question/3183045

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