subject

Physics, 02.03.2020 21:03 almighty196

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, FE/FG. Note: k = 8.99 × 109 N-m2/C2; G = 6.672 × 10–11 N-m2/kg2; me = 9.109 ×

ansver

Answers: 3

Show answers

Answers

ansver

Answer from: nicki76

$\frac{F_e}{F_g} = 2.3 \times 10^{18}$

Explanation:

The gravitational force is given by Newton's Law of Gravity:

$F_g = \frac{Gm_1m_2}{r^2}$

The electrostatic force is given by Coulomb's Law:

$F_e = \frac{kq_1q_2}{r^2}$

The ratio between these two forces is

$\frac{F_e}{F_g} = \frac{\frac{kq_1q_2}{r^2}}{\frac{Gm_1m_2}{r^2}} = \frac{kq_1q_2}{Gm_1m_2} = \frac{(8.99\times 10^{-12})(1.6\times 10^{-19})(1.6 \times 10^{-19})}{(6.67\times 10^{-11})(9.1 \times 10^{-31})(1.6 \times 10^{-27})} = 2.3 \times 10^{18}$

ansver

Answer from: LittleNerd2852

Complete Question:

Determine the ratio of the electrostatic force to the gravitational force between a proton and electron, FE/FG.

Note : k = 8.99 × 10⁹ N.m²/C² ; G = 6.672 x 10⁻¹¹ Nm²/kg²; me = 9.109 × 10⁻³¹ kg and mp = 1.672 × 10⁻²⁷kg.

FE/FG = 2.3 x 10³⁹

Explanation:

According to Coulomb's law, the electrostatic force ( $F_{E}$ ) between two particles is given as;

$F_{E}$ = k x $\frac{Q_1 * Q_2}{r^2 }$ --------------------(i)

Where;

k = electric constant = 8.99 x 10⁹Nm²/C²

Q₁ = the charge of particle 1

Q₂ = the charge of particle 2

r = the distance of separation between the two particles

Also, according to Newton's law of gravitational force, the gravitational force ( $F_{G}$ ) between two particles is given as;

$F_{G}$ = G x $\frac{M_{1} * M_2}{r^{2} }$ --------------------(ii)

Where;

G = gravitational constant = 6.672 x 10⁻¹¹Nm²/kg²

M₁ = mass of particle 1

M₂ = mass of particle 2

r = distance of separation between the two particles

For clarity, we will calculate $F_{E}$ and $F_{G}$ separately before finding their ratio.

From the question;

The particles are a proton (particle 1) and an electron (particle 2) with the following details;

Q₁ = charge of proton = 1.6 x 10⁻¹⁹C

Q₂ = charge of electron = -1.6 x 10⁻¹⁹C

M₁ = mass of proton = mp = 1.672 × 10⁻²⁷kg

M₂ = mass of electron = me = 9.109 × 10⁻³¹kg

Substitute the values of k, Q₁ and Q₂ into equation (i) as follows;

$F_{E}$ = 8.99 x 10⁹ x $\frac{(1.6*10^{-19}) * ( -1.6* 10^{-19})}{r^2 }$

$F_{E}$ = 8.99 x 10⁹ x $\frac{(2.56*10^{-38})}{r^2 }$ [negative sign can be discarded]

$F_{E}$ = $\frac{(23.01*10^{-29})}{r^2 }$

Also, substitute the values of G, M₁ and M₂ into equation (ii) as follows;

$F_{G}$ = 6.67 x 10⁻¹¹ x $\frac{(1.672*10^{-27}) * (9.109* 10^{-31})}{r^2 }$

$F_{G}$ = 6.67 x 10⁻¹¹ x $\frac{(15.23*10^{-58})}{r^2 }$

$F_{G}$ = $\frac{(101.58*10^{-69})}{r^2 }$

The ratio $F_{E}$ / $F_{G}$ is therefore;

$F_{E}$ / $F_{G}$ = $\frac{(23.01*10^{-29})}{r^2 }$ / $\frac{(101.58*10^{-69})}{r^2 }$

$F_{E}$ / $F_{G}$ = $\frac{(23.01*10^{-29})}{(101.58*10^{-69})}$

$F_{E}$ / $F_{G}$ = ${(0.23*10^{40})}$

$F_{E}$ / $F_{G}$ = ${(2.3*10^{39})}$

Therefore, the ratio is 2.3 x 10³⁹

ansver

Answer from: Quest

answer: he got 23

explanation:

ansver

Answer from: Quest

Gas will most likely fill the container

Other questions on the subject: Physics

Physics, 21.06.2019 19:30, Jazminfun70

Density of salty water as compared to the density of pure water is(a) is less(b) is always equal(c) is always more(d) may be less or more

Answers: 1

Physics, 22.06.2019 02:00, Needalittlehelp

Figure 9 on page 362 shows various motions of balls. the curved path followed by the yellow ball in b in picture b is result of a) inertia b) centripetal motion c) gravity and horizontal velocity d) linear motion

Answers: 3

Physics, 22.06.2019 05:30, cdraytonn

An object weighs 40n in air, weighs 20n when submerged in water and 30n when submerged in a liquid of unknown density. what is the density of the liquid?

Answers: 2

Physics, 22.06.2019 18:30, Natasha019

Which word expression describes how much to calculate pressure

Answers: 1

You know the right answer?

Determine the ratio of the electrostatic force to the gravitational force between a proton and an el...

Questions in other subjects:

Konu

Biology, 31.10.2019 19:31

What is the potential energy source that drives atp production by atp synthase ?...

Konu

English, 31.10.2019 19:31

Which sentence from "american indian civil rights” best describes the conflict the author develops in the text? most experts agree that is was over ten thousand years ago, well be...

Konu

English, 31.10.2019 19:31

What contrast is established im the"poet's song" that beings this section? what is the effect of grendel...

Konu

Chemistry, 31.10.2019 19:31

Witch of the following statements best describes the characteristics of a hypothesis one of the steps of the scientific method? a. it is a possible answer to a scientific question...

Konu

Mathematics, 31.10.2019 19:31

The students in mr. collins class used a surveyors measuring devices to find the angle from their location to the top of a building. the also measured their distance from the botto...

Konu

History, 31.10.2019 19:31

Why was the siege of savannah important to the british?...

Konu

History, 31.10.2019 19:31

Bill gates was the famous inventor of the 1800s. true or false...

Konu

History, 31.10.2019 19:31

Where was the name of the battle in lexington?...

Konu

Mathematics, 31.10.2019 19:31

What is the solution to the equation 15=/x/ -5=...

Konu

English, 31.10.2019 19:31

How does this excerpt support the idea that the story is told by an unreliable narrator?

More questions: Physics Another questions