A uniformly charged sphere has a potential on its surface of 450 V. At a radial distance of 5 m from this surface, the potential is 150 V. What is the radius of the sphere, and what is the charge of the sphere?
R = ? m
q = ? nC

Answers

Answer 1

The radius of the sphere is 4 m, and the charge of the sphere is 3.56 nC.

To find the radius of the sphere, we can use the equation for the electric potential due to a uniformly charged sphere at a radial distance r:

V = k * (Q / r),

where V is the potential, k is the electrostatic constant (k = 8.99 * 10⁹ Nm²/C²), Q is the charge of the sphere, and r is the radial distance.

At the surface of the sphere, the potential is given as 450 V, so we have:

450 V = k * (Q / R),

where R is the radius of the sphere.

At a radial distance of 5 m, the potential is given as 150 V, so we have:

150 V = k * (Q / 5 m).

Dividing these two equations, we get:

(450 V) / (150 V) = (k * (Q / R)) / (k * (Q / 5 m)),

3 = R / 5 m,

R = 5 m * 3 = 15 m.

To find the charge of the sphere, we can substitute the value of R into the first equation:

450 V = k * (Q / 15 m).

Solving for Q, we have:

Q = (450 V * 15 m) / k.

Substituting the value of k (k = 8.99 * 10^9 Nm²/C²), we get:

Q = (450 V * 15 m) / (8.99 * 10⁹Nm²/C²) ≈ 3.56 C.

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Related Questions

10
Design an experiment that can determine the relationship between
length of a pendulum and period (swingtime). Explain which variable is
dependent, which is independent, and list at least variables that will need
to be controlled. *

anyone know???

Answers

Answer:

Independent variable: length of pendulum

Dependent variable: period or swing time

Control variables: same mass of pendulum, point of release of each pendulum

Explanation:

This experiment involves determining the relationship between the length of a pendulum and period (swingtime) i.e. whether the length of the pendulum affected the period. In order to set up an experiment, pendulums with different lengths will be used. After the release of each pendulum, the swingtime or period (T) is measured.

- The independent variable is the variable that is changed or manipulated in the experiment. In this case, the independent variable is the LENGTH OF THE PENDULUM, which is changed for each pendulum.

- The dependent variable is the variable that is measured in an experiment. In this case, the PERIOD OR SWINGTIME is the dependent variable because it is what is measured.

- The controlled variable in an experiment is the variable that is kept unchanged for all the groups in an experiment. In this case, the MASS OF THE PENDULUM AND THE POINT OF RELEASE OF EACH PENDULUM are the control variables.

Gordon is making a list of forces for his science class. Which of the following should Gordon not list as a force? a mass b gravity c friction d a push or pull

Answers

Answer: mass

Explanation:

Its not a force its mass. We have mass but we arent having mass done to us.

A celestial body orbits the Sun. It consists of rock and ice. As it passes close to the Sun, the body forms a long tail of dust. Which body best matches this description?

Answers

Answer: A Comet

Explanation: A comet is a small icy body that when passing close to the sun, heats up in releases gases, producing invisible tail.

which of these can a force acting on a object not change ?
A direction of motion B state of rest
C Shape D mass

Answers

D)Mass

Hope it helps (:

What does AC stand for in physics?


A. alternating current
B. alternative circult
C. alternating composition
D. all charge​

Answers

Answer:

Alternating current

please help im stuck ​

Answers

Answer:

1) B

2) B

Explanation:

1) because the relative atomic mass of zinc is 29 and it has a valence electron of 2+ charge.

2) Oxygen because it is has the second highest electronegativity and has a valence electron of-2 charge.

Answer:

1.b,2.b

Explanation:

why a soft floor is provided in wrestling

Answers

Answer:

dhsuf'jaeifnsf mndwqj'ofjef skjfgikef

Explanation:

Answer:

so that the wrestlers dont get a bad injury

Explanation:

The use of fossil fuels is more than other fuels at present.why...​

Answers

Fossil fuel is the most abundant type of oil in the world. Natural gas is harder to find/extract and so is biofuel.

A piece of metal is 4 cm by 10 cm by 2
cm. Find its mass if it has a density of 2
g/cm^3

Answers

Answer:

m = 160 g

Explanation:

Density = Mass / Volume

D = m/v

Step 1: Define

D = 2 g/cm³

V = 4 cm · 10 cm · 2 cm = 80 cm³

M = ?

Step 2: Substitute and solve for m

2 g/cm³ = m/80 cm³

m = 160 g


Q.1. What determines the rate at which energy is delivered by a current ?​

Answers

Explanation:

The rate of consumption of electric energy in an electric appliance is called electric power. Hence, the rate at which energy is delivered by a current is the power of the appliance.

what is free fall ? give some example of it ?​

Answers

Answer:

A free falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. ... Free-falling objects do not encounter air resistance.

Explanation:

If you throw a ball up with a velocity of 3 m/s , how long will it take for the ball to reach the top of its path

Answers

Answer:

t = 0.306 s

Explanation:

Given that,

Initial velocity of the ball, u = 3 m/s

When it reaches the top of its path, its final velocity, v = 0

We need to find the time it takes the ball to reach the top of its path. It can be calculated using first equation of motion.

v = u +at

Here, a = -g

[tex]0=u-gt\\\\t=\dfrac{u}{g}\\\\t=\dfrac{3\ m/s}{9.8\ m/s^2}\\\\t=0.306\ s[/tex]

So, the ball will take 0.306 s to reach the top of its path.

2. One cubic centimeter (cm3) is the same volume as one...

Answers

one milliliter
hope this helps!!!!

a car goes from 4.47 m/s to 17.9 m/s in 3 seconds. calculate the acceleration of the car

Answers

Answer:

4.48 m/s²

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (17.9 m/s − 4.47 m/s) / 3 s

a = 4.48 m/s²

Answer:

[tex]\boxed {\tt a \approx4.48 \ m/s^2}[/tex]

Explanation:

Acceleration can be found by dividing the change in velocity over the time.

[tex]a=\frac{\Delta v}{t}[/tex]

The change in velocity can be found by subtracting the final velocity by the initial velocity.

[tex]\Delta v= final \ velocity - initial \ velocity[/tex]

The final velocity is 17.9 meters per second.

The initial velocity is 4.47 meters per second.

[tex]\Delta v=17.9 \ m/s-4.47 \ m/s[/tex]

[tex]\Delta v=13.43 \ m/s[/tex]

The change in velocity is 13.43 meters per second and the time is 3 seconds.

[tex]a=\frac{13.43 \ m/s}{3 \ s}[/tex]

Divide.

[tex]a=4.47666667 \ m/s^2[/tex]

[tex]a \approx4.48 \ m/s^2[/tex]

The acceleration is about 4.48 meters per seconds squared.

Which of the following correctly describes the relationship between speed and velocity?

Speed is the change in velocity over time; velocity is distance plus direction.
Speed is the change in distance over time; velocity is speed plus direction.
Speed is distance plus direction; velocity is speed plus time.
Speed is the change in acceleration; velocity is distance over time.

Answers

It is the second provided answer.

Speed is the change in distance over time; velocity is speed plus direction.

A driver traveling at 100\,\dfrac{\text{km}}{\text{h}}100 h km ​ 100, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction notices the speed limit changes to 50\,\dfrac{\text{km}}{\text{h}}50 h km ​ 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction. The driver takes 0.9\,\text{s}0.9s0, point, 9, start text, s, end text to slow down to 50\,\dfrac{\text{km}}{\text{h}}50 h km ​ 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction with constant acceleration. We want to know how many meters the driver travels while slowing down.

Answers

Answer:

67.5

Explanation:

d = (Vo+ v/2)t

d = (150/2)(0.9)

d = 67.5

A student starts at the origin and ends up at a position 500 meters north of the origin. She knows she walked 250 meters straight west, but then she was blindfolded and led to the final position. Assume she walked a straight path for the hidden leg of the trip. What displacement vector did she move?

Answers

Answer:

Explanation:

Displacement of the student will be gotten using pyhagoras theorem. Displacement is the distance covered in a specified direction.

D² = 500² + 250²

D = √500² + 250²

D = √250,000 + 62500

D = √312,500

D = 559.02metres

Hence the displacement vector of the girl is 559.02m

What is the kinetic energy of a 0.50 kg ball traveling at a speed of 120 m/s?

Answers

Answer:

The answer is 3600 J

Explanation:

The kinetic energy (KE) of an object given it's mass and velocity can be found by using the formula

[tex]KE = \frac{1}{2} m {v}^{2} \\ [/tex]

where

m is the mass of the object

v is the velocity

From the question

m = 0.5 kg

v = 120 m/s

So we have

[tex]KE = \frac{1}{2} \times 0.5 \times {120}^{2} \\ = \frac{1}{4} \times 14400[/tex]

We have the final answer as

3600 J

Hope this helps you

Which statement best describes the movement of atoms in a solid?
O They are able to slide past each other.
O They spread apart as far as possible.
O They have no freedom to move.
O They are free to move in all directions.

Answers

Answer:

They have no freedom to move

Answer:

C

Explanation:

B.F. Skinner is best known for the development of _____.

Answers

Answer:

the theory of behaviorism

Explanation:

i looked it up¯\_(ツ)_/¯

a car travelling east a constant speed of 20 metre per second be constructed at 3.8 metre per second square when it is 200 behind currently moving East at a constant speed of 2 metre per second how long will it take for the car to catch up with the truck how far will it truck and car travel during this time​

Answers

Let, after t minutes car catch up with truck.

So, distance covered by car is, d = 200 + 2t.

Acceleration of car is, a = 2 m/s².

Initial velocity, u = 20 m/s.

Now, by equation of motion :

[tex]s =ut+\dfrac{at^2}{2}[/tex]

[tex]200+2t = 20t + \dfrac{2t^2}{2}\\\\t^2+18t -200=0[/tex]

[tex]t=\dfrac{-18\pm\sqrt{18^2-4(1)(-200)}}{2}\\\\t = \dfrac{-18\pm33.53}{2}\\\\t=7.765\ s[/tex]( eliminating negative solution )

Therefore, time required is 7.765 s.

The effectiveness of biofeedback has been a subject of controversy because biofeedback __________.
A.
has no reported side effects
B.
cannot be effectively tested
C.
has no reported negative effects
D.
requires uncomfortable electrodes

please help

Answers

Answer:

B

Explanation:

cannot be effectively tested

The effectiveness of biofeedback has been a subject of controversy because biofeedback cannot be effectively tested.

What is biofeedback therapy?

You can learn to control certain of your body's functions, like your heart rate, using a technique called biofeedback.You are connected to electrical sensors during biofeedback, which enables you to learn more about your body.An alternative medical strategy called biofeedback instructs patients on how to influence how their bodies work.Your physical and emotional health may be improved by this mind-body therapy.An expert monitors your body's processes using devices and monitoring equipment during a biofeedback session. With the aid of visual or aural feedback, people can learn to recognize the bodily manifestations of stress and anxiety, such as elevated heart rate, body temperature, and tense muscles.Sensors linked to your body are used in biofeedback therapy to track important bodily processes.You are supposed to learn more about how your body functions with the aid of biofeedback.You might be able to address health issues and gain better control over some bodily systems with the assistance of this knowledge.Biofeedback is generally safe, but it might not be appropriate for everyone. Biofeedback devices might not work properly on people with certain medical conditions, such as heart rhythm problems or certain skin conditions

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What is the white part of each water molecule and what are the red parts of the water molecules?

Answers

Answer:

hydrogen are the white parts and the red parts are oxygen

one part Hydrogen, two parts oxygen (H2O)

Hydrogen atom is  the white part  and the red parts are oxygen atoms of water molecule - one part Hydrogen, two parts oxygen (H₂O) in water molecule.

What is the water (H₂O) molecule?

Each H₂O molecule is V-shaped and is made up of one oxygen atom and two hydrogen atoms.  Hydrogen bonds allow adjacent H₂O molecules to temporarily connect with one another (depicted as blue and white ovals).

Individual H₂O molecules are held together by powerful bonds between the hydrogen (white) and oxygen (red) atoms. When two atoms—in this case, oxygen and hydrogen—share electrons, a covalent link is created. Each end of the V-shaped H₂O molecule adopts a slightly different charge because oxygen and hydrogen draw the shared electrons from each other in different ways. In contrast to the opposite, hydrogen-containing end of the molecule, which is somewhat positive, the region around the oxygen is relatively negative.

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A bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m s 2 0.50 s 2 m ​ 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. After 2.0 s 2.0s2, point, 0, start text, s, end text, the bee is moving to the right with a speed of 2.75 m s 2.75 s m ​ 2, point, 75, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. What was the velocity of the bumblebee right before the breeze? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.

Answers

Answer:

3.75 m/s

Explanation:

Given that a bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m/s^2. After 2.0 s the bee is moving to the right with a speed of 2.75 m/ s

What was the velocity of the bumblebee right before the breeze?

Since the breeze blows with the acceleration of 0.5 m/s^2 for 2 seconds, we can calculate the magnitude of the velocity at which it moves.

Acceleration = velocity/ time

Substitute the acceleration and time into the formula

0.5 = V/2

Cross multiply

V = 2 × 0.5

V = 1 m/s

The bumblebee is travelling right ward while the wind travels leftward.

The relative velocity = 2.75 m/s

Let the bumblebee speed = Vb

While the wind = VW

Vb - Vw = 2.75

Substitute the wind speed into the formula

Vb - 1 = 2.75

Vb = 2.75 + 1

Vb = 3.75 m/s

Therefore, the velocity of the bumblebee right before the breeze is 3.75 m/s

A negative correlation___

is not a very considerate way to compute your numbers

means that as one variable goes up, the other goes down

is only used in experiments that test topics like depression or agression.

has no relationship among the variables

Answers

as one variable goes up the other goes down. it’s an inverse relationship

DESPERATE WIL GIVE BRAINLIST
Which type of rock will be formed if sedimentary rock becomes molten and then hardens?
A. metamorphic
B. igneous
C. clastic
D. foliated

Answers

Answer:

Igneous

Explanation:

Una sustancia radioactiva, cuya temperatura es inconstante, aumenta su temperatura en 30ºF, luego disminuye e 40ºC, luego aumenta en 12R y por último disminuye en 10K; entonces la temperatura final de dicha sustancia: a) No varia b) Aumenta en 24R c) Disminuye en 48R d) Aumenta en 48R e) Disminuye en 24R

Answers

Answer:

What the heck

Explanation:

When would an objects average speed and average velocity be different?​

Answers

Answer:

the motion of an object is along a straight line and in the same direction, the magnitude of displacement is equal to the total path length. In that case, the magnitude of the average velocity is equal to the average speed.

Jerrold just broke up with his girlfriend and is describing his current feelings about the breakup to his friend. According to Freud, from which part of Jerrold's mind did he pull the information to share? (2 points) Group of answer choices Unconscious Preconscious Conscious awareness Conscience

Answers

Answer:

Conscience

Explanation:

Conscience refers to a person's moral sense to differentiate between right and wrong to judge one's behaviour.

Jerrold just broke up with his girlfriend and is describing his current feelings about the breakup to his friend.

So, he pull the information from the conscience of Jerrold's mind.

What type of energy is formed when chemical bonds are broken?
Light energy
Thermal energy
Chemical energy
Radiant energy

Answers

Answer:

Chemical

Explanation:

Just cuz

Answer:

Its chemical

Explanation:

I just took the quiz

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