Physics, 14.02.2020 05:09 Taylor129

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational force between them?

Note that Me = 9.11 x 10^-31kg, Ke=8.99 x 10^9 N m^2/ C^2 , G= 6.67 x 10^-11 N m^2/kg^2, e=1.6 x 10^-19 C, and Fg = G m1xm2/r^2

a)2.3 x 10^2
b) 1.3 x 10^20
c)3.1 x 10^22
d)4.2 x 10^42

Answers: 3

Show answers

Answers

Answer from: dale87

The ratio of the electric force to the gravitational force between them is d. 4.2 × 10⁴²

The electric force between the two electrons according to Coulomb's law is F = ke²/r² where

k = electric constant = 8.99 × 10⁹ Nm²/C², e = electron charge = 1.6 × 10⁻¹⁹ C r = distance between electrons = 1 cm = 0.01 m.

Also, the gravitational force between the electrons according to Newton's law of gravitation is f = GMe²/r² where

G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², Me = electron mass = 9.11 × 10⁻³¹ kg r = distance between electrons = 1 cm = 0.01 m.

Since we want to find the ratio between the electric force and the gravitational force, we have F/f = ke²/r² ÷ GMe²/r²

= ke²/GMe²

Substituting the values of the variables into the equation, we have

ke²/GMe² = 8.99 × 10⁹ Nm²/C² × (1.6 × 10⁻¹⁹ C)²/[6.67 × 10⁻¹¹ Nm²/kg² × (9.11 × 10⁻³¹ kg)²]

= 8.99 × 10⁹ Nm²/C² × 2.56 × 10⁻³⁸ C²/[6.67 × 10⁻¹¹ Nm²/kg² × 82.9921 × 10⁻⁶² kg²]

= 23.0144 × 10⁻²⁹ Nm²/553.557307 × 10⁻⁷³ Nm²

= 0.0416 × 10⁴⁴

= 4.16 × 10⁴²

≅ 4.2 × 10⁴²

So, the ratio of the electric force to the gravitational force between them is d. 4.2 × 10⁴².

Learn more about ratio of electric to gravitational force here:

link

Answer from: erica11223344

d) $4.2\times 10^{42}$

Explanation:

We are given that

$M_e=9.11\times 10^{-31} kg$

$K_e=8.99\times 10^9Nm^2/C^2$

$G=6.67\times 10^{-11} Nm^2/kg^2$

$1 e-=1.6\times 10^{-9} C$

$r=1 cm=\frac{1}{100}=0.01m$

By using 100cm=1 m

Electric force= $F_e=\frac{Kq_1q_2}{r^2}$

Using the formula

$F_e=\frac{8.99\times 10^9\times (1.6\times 10^{-19})^2}{(0.01)^2}$

$F_e=2.3\times 10^{-24} N$

Gravitational force, $F_g=\frac{Gm_1m_2}{r^2}$

Using the formula

$F_g=\frac{6.67\times 10^{-11}\times (9.11\times 10^{-31})^2}{(0.01)^2}$

$F_g=5.54\times 10^{-67} N$

$\frac{F_e}{F_g}=\frac{2.3\times 10^{-24}}{5.54\times 10^{-67}}$

$\frac{F_e}{F_g}=4.2\times 10^{42}$

Option d is true.

Answer from: Quest

explanation:

Answer from: Quest

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

$p(t)=0.3t^2+6t+80$

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

$p(0)=0+0+80=80$

according to question, we have said that if the population has twice its initial population, then it becomes

$p(t)=2\times 80=160$

so, time taken to reach this above mentioned population is given by

$160=0.3t^2+6t+80\\\\160-80=0.3t^2+6t\\\\80=0.3t^2+6t\\\\0.3t^2+6t-80=0\\\\\text{using quadratic formula ,we get }\\\\t_{1,\: 2}=\frac{-60\pm \sqrt{60^2-4\cdot \: 3\cdot \: 800}}{2\cdot \: 3}\\\\t=-29.14\ and\ t=9.149$

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

Other questions on the subject: Physics

Physics, 21.06.2019 15:00, deadpoolcorvettehats

Aparticle moves according to a law of motion s = f(t), 0 ≤ t ≤ 12, where t is measured in seconds and s in feet. f(t) = cos(πt/6) (a) find the velocity at time t (in ft/s).

Answers: 3

continue

Physics, 22.06.2019 14:30, Hfruit

Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?

Answers: 1

continue

Physics, 22.06.2019 22:30, allysoftball4878

Use the illustration to describe how the electromagnetic spectrum changes as its frequency moves from radio waves to higher energy gamma waves in terms of wavelength and amplitude.

Answers: 1

continue

Physics, 22.06.2019 23:20, jjhagan22

Consider each of the electric- and magnetic-field orientations given next. in each case, what is the direction of propagation of the wave? a)\vec ein the +xdirection,\vec bin the +ydirection. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction b)\vec ein the -y direction,\vec bin the +x choose+ x direction- x direction+ y direction- y direction+ z direction- z direction c)\vec ein the +z direction,\vec bin the -x direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction d)\vec ein the +y direction,\vec bin the -z direction. choose+ x direction- x direction+ y direction- y direction+ z direction- z direction

Answers: 3

continue

You know the right answer?

Two electrons are separated by one cm. What is the ratio of the electric force to the gravitational...