You have two small spheres, each with a mass of 2.40 grams, separated by a distance of 10.0 cm. You remove the same number of electrons from each sphere.

1) What is the charge on each sphere if their gravitational attraction is exactly equal to their electrical repulsion?

2) How many electrons did you remove from each sphere?

Answers

Answer 1

Answer:

q = 2.066* 10⁻¹³ C.

n = 1,291,250 electrons.

Explanation:

1)

If the gravitational attraction is equal to their electrical repulsion, we can write the following equation:

       [tex]F_{g} = F_{c} (1)[/tex]

where Fg is the gravitational attraction, that can be written as follows        according Newton's Universal Law of Gravitation:

       [tex]F_{g} = G*\frac{m_{1}*m_{2}}{r_{12}^{2}} (2)[/tex]

Fc, due to it is the electrical repulsion between both charged spheres, must obey Coulomb's Law (assuming  we can treat both spheres as point charges), as follows:

       [tex]F_{c} = k*\frac{q_{1}*q_{2}}{r_{12}^{2}} (3)[/tex]

since m₁ = m₂ = 0.0024 kg, and  r₁₂ = 0.1m, G and k universal constants, and q₁ = q₂ = Q, we can replace the values in (2) and (3), so we can rewrite (1) as follows:

       [tex]G*\frac{(0.0024kg)^{2}}{r_{12}^{2}} = k*\frac{Q^{2}}{r_{12}^{2}} (4)[/tex]

Since obviously the distance is the same on both sides, we can cancel them out, and solve (4) for Q² first, as follows:

       [tex]Q^{2} = \frac{6.67e-11*(0.0024kg)^{2}}{9e9Nm2/C2} = 4.27*e-26 C2 (5)[/tex]

Since both charges are the same, the charge on each sphere is just the square root of (5):Q = 2.066* 10⁻¹³ C.

2)

Assuming that both spheres were electrically neutral before being charged, the negative charge removed must be equal to the positive charge on the spheres.Now, since each electron carries an elementary charge equal to -1.6*10⁻¹⁹ C, in order to get the number of electrons removed from each sphere, we need to divide the charge removed from each sphere (the outcome of part 1) with negative sign) by the elementary charge, as follows:[tex]n_{e} =\frac{-2.066e-13C}{-1.6e-19C} = 1,291,250 electrons. (6)[/tex]

Related Questions

(PLEASE HELP ITS DUE SOON ILL MARK BRAINLIEST AND 5 STARS & PLEASE SHOW WORK!!)

(And the answer is not 44 I already tried that and it doesn’t start with 4 either)

Answers

Lol I would help you but I have no clue

An object initially at rest experiences an acceleration
of 1.4 m/s for 5.0 s and then travels at that
constant velocity for another 6.0 s.
Part A
What is the object's average velocity over the 11 s interval?

Answers

Answer:

1.4m/s

Explanation:

Average velocity is the total distance covered divided by the total time taken.

 Average velocity  = [tex]\frac{total distance }{time }[/tex]  

 Total time taken  = 5s + 6s  = 11s

The first distance covered  = velocity x time  = 1.4 x 5 = 7m

     second distance covered  = velocity x time  = 1.4 x 6  = 8.4m

So;

  Average velocity  = [tex]\frac{7 + 8.4}{11}[/tex]    = 1.4m/s

what happens to the orbit time as the distance increases.

Answers

The orbital period increases if the orbital distance is increased.

Use one of the following formulas to solve distance:
speed=d/t
*Hint: You will have to manipulate the formula
At dinner you got mad and threw your burrito at a speed of 4 m/s. It flies for 18 seconds through the air. How much distance did the burrito
cover?

Answers

Answer:

72m

Explanation:

Given parameters:

Speed of the Burrito  = 4m/s

Time  = 18s

Unknown:

Distance covered by the flying Burrito = ?

Solution:

Speed is the rate of distance covered per unit of time.

        Speed  = [tex]\frac{distance}{time}[/tex]  

 Distance  = Speed x time

So;

 Distance  = 18 x 4  = 72m

In the parts that follow select whether the number presented in statement A is greater than, less than, or equal to the number presented in statement B.
1. Statement A: 2.567 km, to two significant figures.
Statement B: 2.567 km, to three significant figures.
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.
2. Statement A: (2.567 km+ 3.146 km), to two significant figures.
Statement B: (2.567 km, to two significant figures) + (3.146 km, to two significant figures).
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.
3. Statement A: Area of a rectangle with measured length = 2.536 m and width = 1.4 m.
Statement B: Area of a rectangle with measured length = 2.536 m and width = 1.41 m.
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.

Answers

Answer:

1)   A> B, 2)  A = B,  3)    A> B

Explanation:

When a figure is given the number of significant figures to determine the precision or uncertainty the number

1) the uncertainty in the number with three significant figures is less than the number with two significant figures

statement A 2.6

statement B 2.57

        A> B

2) decalration A

         2,567 + 3,146 = 5,713

with two figures it remains

             5.7

statement B

         2.6 + 3.1 = 5.7

 A = B

3) for the product the result is with the number that has the least significant figures

statement A

rectangles area

   2.536 * 1.4 = 3.6

  statement B

    2.536 * 1.41 = 3.58

          A> B

4) The components of Vector A are given as follows Ax = -2.4 Ay = + 3.8 What is the magnitude of the A, and what is the angle that A makes with the x axis​

Answers

Answer:

A = 4.49

α = 57.72°

Explanation:

Knowing the magnitude of x & y of a vector we can determine the total magnitude of a vector.

[tex]A=\sqrt{A_{x}^{2} +A_{y}^{2} } \\A=\sqrt{(2.4)^{2} +(3.8)^{2} }\\A=4.49[/tex]

The angle tangent can be used to determine the angle.

[tex]tan(\alpha )=\frac{3.8}{2.4}\\tan(\alpha ) =1.5833\\\alpha =tan^{-1}(1.5833) \\\alpha = 57.72 (deg)[/tex]

What type of metals are known as ferromagnetic metals

Answers

Answer:

those who are attracted to magnets. ex: iron, cobalt and nickel

Which of the following is an example of exothermic reaction?

Answers

Explanation:

Exothermic reaction are those in which heat releases during a reaction

What are the applications of diodes and rectifiers?

Answers

Answer:

The most common and important application of a diode is the rectification of AC power to DC power. Using the diodes, we can construct different types of rectifier circuits. The basic types of these rectifier circuits are half wave, full wave center tapped and full bridge rectifiers.

Explanation:

Here ya go <3

If you are givin force and time, you can determine power if you can know.

A. Watts
B. Energy
C. Joules
D. Distance

Answers

Answer:

D. Distance

Explanation:

Power is work divided by time. Work is force times distance, therefore you need distance in order to find power.

If you are givin force and time, you can determine power if you can know.

C. Joules

What phenomenon allows the sidewalk to heat up and
cook an egg?
O absorption
O diffraction
O reflection
O transmission

Answers

the answer is absorption

By the processes of heat transfer, the sidewalk absorbs heat by radiation and cooks the egg.

What is heat energy?

Heat energy is a form of energy that is due to difference in temperature between two bodies.

Heat energy always flow from hotter to colder bodies

The processes of heat transfer include;

conduction convection radiation

The sidewalk absorbs heat by radiation and cooks the egg.

Learn more about absorption of heat at: https://brainly.com/question/26253561

Two equal in magnitude, positive charges Q are fixed at distance 2d from each other. The third charge, of magnitude q and unknown sign is positioned very carefully into the midpoint on the line connecting the first two charges. Pick the statement which is correct:

a. The third charge will accelerate towards one of the charges.
b. The third charge will be in equilibrium and this equilibrium is stable.
c. The third charge will be in equilibrium and this equilibrium is unstable.
d. The third charge will be in equilibrium. This equilibrium is stable if charge is positive and unstable if charge is negative.
e. All these statements are wrong.

Answers

Answer:

the correct one is d

Explanation:

To answer which statement is correct, let's look for the force on the third charge

                F = F₁₃ + F₂₃

force is electric force

                F = [tex]k \frac{q_1 q_2}{r^2}[/tex]

In the exercise we are told that the distance between the two charges is 2d, therefore the distance of each charge to the third is x = d and the two falls have a car Q

               F₁₃ = k q Q / d²

               F₂₃ = k q Q / d²

suppose that charge 3 is positive for which the forces are repulsive

                F = k q Q / d₂ - k q Q / d₂

                F = 0

suppose that the charge 3 is negative for which the forces are of attraction

                  F = -k q Q / d₂ + k q Q / d₂

                  F = 0

We can see that regardless of the sign of charge 3 the forces on it are zero, so it has no acceleration, it is in equilibrium.

Let's analyze the type of equilibrium, for this we move the charge 3 towards one of the sides

charge 3 positive

the force towards the approaching side increases and the other decreases, therefore the load has a net force towards the center, in that case the equilibrium is stable

negative charge 3

The force towards the approaching side is stronger and more attractive and the other decreases, therefore it has an attractive net force that carries it towards the charge, it is closer, in this case the balance is unstable

To review the different answers, the correct one is d

A uniform soda can of mass 0.140 kg is 12.0 cm tall and filled with 0.354 kg of soda (Fig. 9-41). Then small holes are drilled in the top and bottom (with negligi- ble loss of metal) to drain the soda. What is the height h of the com of the can and contents

a. initially
b. after the can loses all the soda?
c. What happens to h as the soda drains out?
d. If x is the height of the remaining soda at any given instant, find x when the com reaches its lowest point .

Answers

Answer:

Explanation:

a ) The centre of mass of a can filled completely with any liquid of any mass lies at the center of the can or at height h /2 where h is height of the can . So centre of mass of can of mass .140 kg of height 12 cm will lie at height 6 cm . Similarly center of mass of its content will also lie at height 6 cm that is center  point of the content .

Hence overall center of mass of can along with its content will lie at height 6 cm initially  .

b )

After the can loses all the soda , can becomes empty . Hence its center of mass will lie at its center again  .

c ) Its center of mass remains unchanged as the soda drains out completely .

d ) When soda starts draining out of the can , its lower part becomes heavier than the upper part . Hence its center of mass moves downwards . Its height is lowered . As height of soda is lowered in the can , center of mass also is lowered . It reaches its lowest point when soda in the can reaches half the height or when the can is half filled .

After that center of mass again starts rising upwards until the can is completely empty .

Why do the snakes only get one unit of energy?

Answers

Answer: Snakes are reptiles

Explanation: All reptiles are ectothermic (they obtain body heat from their environment).

As snake belongs to secondary consumer, it get  less amount of energy in food cycle. If producer (grass) get 100 unit of energy, according to food chain snakes only gets one unit of energy.

What is food chain?

The sequence of events in an ecosystem known as a "food chain" occurs when one live organism eats another organism, which is then eaten by a larger organism. A food chain is created by the transfer of nutrients and energy from one creature to another at various trophic levels.

The feeding habits or connections between living things are also explained by the food chain. Trophic level is the term used to describe the orderly phases in a food chain, from producers at the bottom through primary, secondary, and tertiary consumers. A trophic level is any position along a food chain.

A food chain demonstrates the interdependence of all living things on one another. The direction of energy flow within an ecosystem is described by the food chain.

Learn more about ecology here:

https://brainly.com/question/13046612

#SPJ2

energy flow diagram of petrol driven lawnmower​

Answers

I forgot the answer but I read it early

Energy flow diagram is the way to show change from one form to other. In petrol driven lawn mover, chemical energy of petrol is changed into ..

A 0.18 kg baseball moving at +21.80 m/s is slowed to a stop by a catcher who exerts a constant force of -360 N.
How long does it take this force to stop the ball?
___s
How far does the ball travel before stopping?
___m

Answers

Answer:

hey so this website called quiz-let helps you it will give u the answer for every question i use it sometimes when im confused on a test.

It takes 0 seconds for the catcher to stop the ball and the ball travels 0 meters before stopping.

What is force?

To find the time it takes for the catcher to stop the ball, you can use the equation:

time = distance / velocity

In this case, the distance is zero (since the ball is stopped) and the velocity is 21.80 m/s. Plugging these values into the equation gives us:

time = 0 / 21.80

time = 0 s

So, it takes 0 seconds for the catcher to stop the ball.

To find the distance the ball travels before stopping, you can use the equation:

distance = 1/2 * acceleration * time^2

In this case, the acceleration is the force applied to the ball divided by the mass of the ball, or (-360 N) / (0.18 kg) = -2000 m/s^2. The time is the time it takes the ball to stop, which we just found to be 0 s. Plugging these values into the equation gives us:

distance = 1/2 * (-2000 m/s^2) * (0 s)^2

distance = 0 m

So, the ball travels 0 meters before stopping.

Learn more about force, here:

https://brainly.com/question/13191643

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kinda easy but too lazy

Answers

Do it your self then

Answer:

We don't promote laziness here, my dear child. :)

how is space Technology different from space exploration​

Answers

Answer:

Space technology is technology developed by space science for use in astronautics, for purposes such as spaceflight or space exploration. Space technology includes spacecraft, satellites, space stations, and support infrastructure equipment, and procedures and space warfare.

How can pressure impact the alignment of minerals within the rock

Answers

Metamorphism occurs because some minerals are stable only under certain conditions of pressure and temperature. When pressure and temperature change, chemical reactions occur to cause the minerals in the rock to change to an assemblage that is stable at the new pressure and temperature conditions.

16.An astronaut, visiting a newly discovered planet, finds the acceleration due to gravity by dropping an objectfrom a height of 1.0 meter and measuring how long it takes the object to hit the ground. If it takes the object0.8 seconds to hit the ground, what is the acceleration due to gravity on th

Answers

Answer:

g = 3.125 m/s²

Explanation:

To find the acceleration due to gravity we will use the second equation of motion:

[tex]h = V_{i}t + \frac{1}{2}gt^{2}\\[/tex]

where,

h = height = 1 m

Vi = initial speed object = 0 m/s (object is initially at rest)

t = time taken = 0.8 s

g = acceleration due to gravity = ?

Therefore,

[tex]1\ m = (0\ m/s)(0.8\ s)+\frac{1}{2}g(0.8\ s)^{2}\\\\\frac{2\ m}{0.64\ s^{2}} = g\\\\[/tex]

g = 3.125 m/s²

It has been suggested that rotating cylinders about 10 mi long and 5.9 mi in diameter be placed in space and used as colonies. The acceleration of gravity is 9.8 m/s 2 . What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on

Answers

Answer:

ω = 0.05 rad/s

Explanation:

We consider the centripetal force acting as the weight force on the surface of the cylinder. Therefore,

[tex]Centripetal Force = Weight\\\frac{mv^{2}}{r} = mg\\\\here,\\v = linear\ speed = r\omega \\therefore,\\\frac{(r\omega)^{2}}{r} = g\\\\\omega^{2} = \frac{g}{r}\\\\\omega = \sqrt{\frac{g}{r}}\\[/tex]

where,

ω = angular velocity of cylinder = ?

g = required acceleration = 9.8 m/s²

r = radius of cylinder = diameter/2 = 5.9 mi/2 = 2.95 mi = 4023.36 m

Therefore,

[tex]\omega = \sqrt{\frac{9.8\ m/s^{2}}{4023.36\ m}}\\\\[/tex]

ω = 0.05 rad/s

How much work can an engine do in 15 minutes if it generates 22 MW of power and has a mass of 330 kg? *

Answers

Answer: 1/gk

Explanation: 15(22/330kg) (330/330gk) = 1/gk

how can students earn a GED

Answers

Answer:

How Can You Earn Your GED?

You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. ...You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass).

>Rules

You must be at least 16 years old to take the GED Test, and you must not be enrolled in high school. You should also meet state eligibility requirements for the amount of time you've been out of high school. In some states, you have to be out of high school for at least 60 consecutive days before you're allowed to take the test. Contact the program administrator in your state for more details.

You must pass all four subject tests in the GED battery of tests, which means scoring at least a 145 on each test (New Jersey requires a score of at least 150 to pass). Scores range from 100 to 200 on the 2014 version). A score of 165 on each test is the benchmark for college and career readiness, and you will receive an Honors distinction if you reach this score. The four tests take seven and a half hours total and are administered by computer. You don't have to take them all on the same day, but some states enforce specific time frames for completing the tests. Most questions are multiple choice, although there is also a mix of fill-in-the-blank, drag and drop, and select-an-area questions, as well as an essay question on the Reasoning Through Language Arts section.

If you don't pass a test the first time around, you can retake it, although different states have different requirements for people who need to retake GED tests (such as additional fees or proof of attending a preparation class). Testing accommodations are available for those with disabilities; you can sign up for them through your online account after you register. You usually have to pay to sign up for the tests, but the cost varies from state to state. After you take each test, you will receive your scores within 24 hours. Here are some more details about the score report.

Explanation:

I hope I helped and I hope u get what your looking for!!

-Good Luck and Plz mark me brainliest

what is physical quantity​

Answers

Answer:

a physical quantity is any physical property that can be quantified, that is, be measured using numbers.

Answer: A physical quantity is a property of a material or system that can be quantified by measurement. A physical quantity can be expressed as the combination of a numerical value and a unit. For example, the physical quantity mass can be quantified as n kg, where n is the numerical value and kg is the unit.

A person weighing 600 N gets on an elevator. The elevator lifts the person 6 m in 10 seconds. How much power was used?

Answers

Answer: 3600 J

Explanation:

W = (F)(d)(cosФ)

W = (600 N)(6 m)(cos 1)

W = 3600 J

A long rope with a knot tied in the middle lies straight along a smooth floor. A student picks up one end of the rope. This sends waves along the rope. a State whether the waves on the rope are transverse or longitudinal waves. b 1 the direction of energy transfer along the rope 2 the movement of the knot.!? Does Enyone know the answer​

Answers

Answer:

1. Transverse

2. Along the rope from one end to the other.

3. Oscillates in a direction perpendicular to energy transfer.

Explanation:

I majored in Physics

If you want to store 160 J of energy in this spring, should you compress it or stretch it?

Answers

Answer:

x = 21.7 cm

Explanation:

The energy stored in the spring is given by :

[tex]U=\dfrac{1}{2}kx^2[/tex]

Where

k is spring constant

x is compression or elongation in the spring

Let us assume that the spring constant of the spring is 6740 N/m.

We can find x by using above formula.

[tex]x=\sqrt{\dfrac{2U}{k}} \\\\x=\sqrt{\dfrac{2\times 160}{6740}} \\\\x=0.217\ m[/tex]

or

x = 21.7 cm

Hence, to store 160 J of energy, it must compress 21.7 cm.

Of the charge Q initially on a tiny sphere, a portion q is to be transferred to a second, nearby sphere. Both spheres can be treated as particles and are fixed with a certain separation. (a) For what value of q/Q will the electrostatic force between the two spheres be maximized? What are the (b) smaller and (c) larger values of q/Q that give a force magnitude that is 75% of that maximum?

Answers

Answer:

2. Smaller value of q = 1/4Q

3. Larger value of q = 3/4Q

Explanation:

1. Please check the attachment for the solution of part 1. Due to time factor I couldn't type out the solution properly.

2. The smaller value is

F = 75% = 75/100

= 3/4 * Q²/16piEod² ---3

When we equate 1 and 3

We get 3Q²/16 = Qq - q² from here we cross multiply to get

3Q² = 16(Qq-q²)

3Q² = 16Qq-16q²

16q² - 16Qq + 3Q² = 0

When solve this out using the quadratic equation formula, we have:

Q/2 +- 2Q/8

We can get the smaller value of q as

Q/2-2Q/8

Solve using LCM we get

2Q/8 = 1/4Q = Q/4

C. The larger value of q

Q/2+2Q/8

= 6Q/8

= 3Q/4

Please use the attachment it will guide you to understand this better.

What is the loudness, in decibels, of a sound 1 trillion times as loud as the softest audible sound?
The loudness of this sound in decibels is _________ dB. (Type an integer or a decimal.)

Answers

Answer:

What is the loudness, in decibels, of a sound 100 trillion times as loud as the softest audible sound? The loudness of this sound in decibels is dB. (Type an integer or a decimal.)

Please help I will mark brainlest .

Answers

Answer:

lithium atom

Explanation:

If you search up lithium atom the same atom will come out.

Sorry if it's wrong.

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