Two thin-walled concentric conducting spheres of radii 5. 0 cm and 10 cm have a potential difference of 100 V between them. (k= 1/4πε0 = 8. 99 × 109 N · m2/C2)
(a) What is the capacitance of this combination?
(b) What is the charge carried by each sphere?
Answers
a) The capacitance of the combination is 1.79 × \(10^-11 F.\)
b) The charge on each sphere is 1.79 ×\(10^-9 C.\)
(a) The capacitance of this combination can be calculated using the formula:
C = Q / V
where C is the capacitance, Q is the charge stored in the spheres, and V is the potential difference between them. Since the spheres are concentric and have no net charge, the charge on each sphere must be equal in magnitude and opposite in sign.
Using the formula for capacitance and the given values, we have:
C = Q / V = (4πε0r1r2) / (r2 - r1)
where r1 and r2 are the radii of the inner and outer spheres, respectively. Substituting the given values, we get:
C = (4πε0 × 5.0 × \(10^-2 m\)× 10.0 ×\(10^-2 m\) / (10.0 × \(10^-2 m\) - 5.0 × \(10^-2 m\)) = 1.79 × \(10^-11 F\)
Therefore, the capacitance of the combination is 1.79 × \(10^-11 F.\)
(b) The charge on each sphere can be calculated using the formula:
Q = CV
where C is the capacitance and V is the potential difference between the spheres. Substituting the given values, we get:
Q = CV = (1.79 ×\(10^-11 F)\) × (100 V) = 1.79 × \(10^-9 C\)
Therefore, the charge on each sphere is 1.79 ×\(10^-9 C.\)
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Related Questions
suppose you lift a stone that has a mass of 5.9 kilograms off the floor onto a shelf that is 0.5 meters high. how much work have you done?
Answers
Work done to lift the stone of mass 5.9 kg is 28.91 J.
The work done through pressure is made of the displacement and the component of the carried-out force of the object inside the direction of displacement. whilst we push a block with a few pressure ' F ' the body movements with a few accelerations, paintings are carried out. paintings executed is written as W = F.
The paintings executed by using pressure are defined to be manufactured from the aspect of the force in the path of the displacement and the significance of this displacement. formula. work can be calculated by multiplying pressure and Distance within the course of force as follows. W = F × d.
Work is achieved whenever a pressure actions something over a distance. you can calculate the strength transferred, or work carried out, by multiplying the pressure via the space moved in the route of the pressure.
Calculation:-
mass = 5.9
g = 9.8 m/s
f = 0.5 m
work done = mgh
= 5.9 × 9.8 × 0.5 J
= 28.91 J
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Which is NOT a part of transverse waves?
A. wavelength
B. trough
C. compression
D. crest
Answers
Answer:
C. Compression
Explanation:
✧✧✧EMOTIONAL DAMAGE✧✧✧
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busco
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Vi
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Answers
PLS HELP MEH!!!!
Sound travels fastest in
a) air
b) water
c) glass
d) diamond
WILL MARK BRAINLIEST IF ANSWER
Answers
Answer:
hope this helps
Explanation:
Of the three phases of matter (gas, liquid, and solid), sound waves travel the slowest through gases, faster through liquids, and fastest through solids
so your answer would be B.
What do these two changes have in common?
a piece of avocado turning brown
a dinosaur bone turning into rock over millions of years
Select all that apply.
Both are only physical changes.
Both are chemical changes.
Both are caused by heating.
Both are caused by cooling.
Submit
a piece of avocado turning brown a dinosaur bone turning into rocks over millions years physical or chemical
Answers
Answer:
they have nothing in common, the avocado turning brown is a chemical change while, the dinosaur bone turning into rocks over millions of years is a physical change.
Which of the following do NOT make up our personality? behaviors skills and abilities feelings thoughts
Answers
Skills and abilities do not make up our personality.
What is our personality?Personality encompasses an intricate amalgamation of traits that define our individuality, comprising our cognitions, emotions, and actions. It is shaped by a combination of genetic predispositions and environmental factors.
Individuals with diverse personality profiles exhibit distinct patterns of thinking, emoting, and engaging in conduct. By comprehending our individual personality traits, we empower ourselves to make wiser decisions and cultivate lives imbued with greater happiness and well-being.
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most neutral atoms of fluorine have an atomic mass of 19 amu and an atomic number of 9. what are these atoms composed of
Answers
Answer:
An atom of fluorine has the atomic number 9, and its mass number is 19 amu. Which of the following shows a neutral atom of fluorine? 16 protons and 14 electrons.
Explanation:
ITs 16 protins and 14 ELECTRONS
Answer:
Answer is 9 Protons, 10 Neutrons, and 9 Electrons
Explanation:
A.P.E.X
When you ride your bike around a corner at 10 m/s, you are accelerating?
Answers
When you ride your bike around a corner at 10 m/s, you are accelerating. Acceleration is caused by any forces. Sliding friction keeps you in the seat when a car goes around a corner. If you throw a ball into the air, Earth exerts a force on the ball.
Answer:
yes because acceleration is a vector quantity and as u turn around a corner you are changing direction.
Explanation:
Explain why some places can use only certain kinds of energy to generate electricity.
Answers
Answer:
please mark me as a brainleast and follow me please my soster
Near the critical point of a pure fluid, the Gibbs energy obeys the scaling function λG(t,p)=G(λ a
⋅t,λ a
p) where the reduced temperature, pressure, and volume displacements are t= T c
T c
−T
p= P c
P c
−P
v= V
ˉ
c
V
ˉ
− V
ˉ
c
(a) Differentiation of G with respect to pressure gives the volume displacement, v=( ∂p
∂G
) Use Eqs.(1) and (3) to derive the scaling law for v(t,p) in terms of a t
and a p
. (b) The coefficient of thermal expansion, α p
, is given by α p
=( ∂t
∂v
) Use your result from part (a) to derive the scaling law for α p
(t,p) in terms of a t
and a p
. (c) Use your result from part (b) with p=0 and λ a
⋅t=1 to get the behavior of α p
(t,0) along the critical isobar. (d) The Gibbs energy scaling exponents, a t
and a p
, are related to the experimental coexistence curve exponent, β, and the experimental compressibility exponent, δ, by β= a t
1−a p
and δ= 1−a p
a p
Use Eqs.(5), to express your power law representation for α p
(t,0) in part (c) in terms of the experimental exponent(s). Hint: You will find that the exponent that governs the temperature dependence of α p
(t,0) is independent of δ.
Answers
The scaling law for volume displacement, v(t, p), in terms of scaling exponents aₜ and aₚ is given by v(t, p) = aᵥ / (∂G/∂(λₐ⋅t)).
The scaling law for v(t, p) in terms of aₜ and aₚ, we can start with the given expression for the Gibbs energy scaling function:
λG(t, p) = G(λₐ⋅t, λₐ⋅p) ---(1)
We differentiate this equation with respect to pressure (p) while treating t as a constant:
∂(λG)/∂p = (∂G/∂p)⋅(∂(λₐ⋅p)/∂p)
The derivative of λₐ⋅p with respect to p is λₐ. Now, using the relation v = (∂p/∂G), we can rewrite the above equation as:
v(t, p) = (∂p/∂G) = (∂(λG)/∂p) / (∂(λₐ⋅p)/∂p) = (∂G/∂p) / λₐ
Since G is a function of λₐ⋅t and λₐ⋅p, we can express ∂G/∂p as:
∂G/∂p = (∂G/∂(λₐ⋅p))⋅(∂(λₐ⋅p)/∂p)
Plugging this back into the equation for v(t, p), we get:
v(t, p) = (∂G/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Now, substitute the scaling function λG(t, p) from equation (1) into the above equation:
v(t, p) = (∂(λG)/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Simplifying further, we obtain:
v(t, p) = (∂(G(λₐ⋅t, λₐ⋅p))/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Using the chain rule of differentiation, we can rewrite the numerator as:
∂(G(λₐ⋅t, λₐ⋅p))/∂(λₐ⋅p) = (∂G/∂λₐ⋅t)⋅(∂(λₐ⋅t)/∂(λₐ⋅p))
Since (∂(λₐ⋅t)/∂(λₐ⋅p)) = (∂t/∂p), we can further simplify the expression:
v(t, p) = (∂G/∂λₐ⋅t) / (λₐ⋅(∂t/∂p))
Introduce the volume displacement scaling factor aᵥ as:
v(t, p) = aᵥ⋅(∂G/∂λₐ⋅t) / (λₐ⋅(∂t/∂p))
Comparing this equation with the desired form v(t, p) = aₜ⋅(∂t/∂p), we can conclude that:
aₜ = aᵥ / (∂G/
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A bear scratches his claws on a big pine tree. Does the bear do work on the tree? why or why not?
(btw it has to do with physics) ITS NOT A GENERAL QUESTION.
Answers
Answer:
The bear is actually sharpening his claws. That's the only reason he scratches a tree with his claws
Explanation:
placement.
A body is thrown vertically upwards. Its velocity keeps on decreasing. What happens
to its kinetic energy when its reaches the maximum height? Why?
If the speed of a body is increased four times, how will its kinetic energy be affected?
Answers
Answer:
kinetic energy will be equal to 0
Explanation:
this is because at final position velocity of body will become zero.
kinetic energy eill be 8 times
A rocket fires its engines to launch straight up from rest with an upward acceleration of 5 m/s2 for 10 seconds. After this time, the engine shuts off and the rocket freely falls straight down back to Earth's surface.
Please help! This is for AP Physics.
Answers
Answer:
Hi! These graphs I'm providing below are the answer to this problem, as well as the free response sections. I'll attach them below for you.
Hope this helps! :)
EDIT: I didn't realize that I had solved the problem wrong, so I deleted my answer. The other answer to this question is really good so look at that one, not this. I'm so sorry!
when view are drawn accurately to scale, they can be dimensioned fully to provide detailed information about the object
Answers
The statement is correct. When views are drawn accurately to scale in technical drawings, they can be dimensioned fully to provide detailed information about the object.
Dimensions in technical drawings specify the size, shape, and position of the object's features, such as length, width, height, diameter, angles, and distances between different elements. By including precise dimensions, the drawing conveys essential information for manufacturing, construction, or any other application where accurate representation and measurement of the object are necessary.
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Energy from the sun drives the _ of the water from the ocean surface. As the air moves up the west side of the mountain, the water vapor cools and undergoes _ . The force of gravity causes the _ of the water from the cloud. Choices for the _ are condensation, evaporation, precipitation
Answers
Answer: The air is full of water, as water vapor, even if you can't see it. Condensation is the process of water vapor turning back into liquid water, with the best example being those big, fluffy clouds floating over your head. And when the water droplets in clouds combine, they become heavy enough to form raindrops to rain down onto your head.
Explanation:
Why is the average density of the Sun very high even though the composition is 99.9 % by atoms, 98.5% by mass, Hydrogen and Helium gases?
Its actually Physical Science
Answers
The average density of the Sun is high even though its composition is 99.9 % by atoms, 98.5% by mass, Hydrogen and Helium gases because of the immense gravitational forces acting on its massive core.
However, due to its enormous size and mass, the gravitational force at its core is substantial. This force compresses the gases within the Sun, causing them to become denser and hotter. As a result, the pressure and temperature at the core of the Sun are extreme, reaching millions of degrees Kelvin. These conditions facilitate nuclear fusion, a process that converts Hydrogen nuclei into Helium, releasing a tremendous amount of energy in the form of light and heat.
The energy generated by nuclear fusion keeps the Sun in a state of hydrostatic equilibrium, which is a balance between the inward gravitational force and the outward pressure exerted by the gases. This equilibrium maintains the Sun's high average density, despite its predominantly gaseous composition. In summary, the Sun's average density is high due to the immense gravitational forces compressing the Hydrogen and Helium gases in its core and the high pressure and temperature that facilitate nuclear fusion. These factors contribute to the Sun's hydrostatic equilibrium, which sustains its high density.
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Scuba tanks should always have some pressure in them to prevent______
Answers
The given statement is incomplete and is missing the options or the possible answer from which we could determine the appropriate term that fits in the blank.
Therefore, I can provide a general answer to the question.
Scuba tanks should always have some pressure in them to prevent moisture contamination. When there is no pressure in the tanks, there is a chance that the moisture can enter the tank and contaminate the air inside. Therefore, it is crucial to have some pressure in the scuba tank. Also, a full scuba tank is around 3000 psi, and an empty scuba tank is around 200 psi. A scuba tank should be visually inspected annually and tested hydrostatically every five years to ensure that they are safe to use.
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A planes kaverage speed between two cities is 610 km/hr. If the trip takes 2. 25 hrs. How far dose the plane fly
Answers
A planes average speed between two cities is 610 km/hr. If the trip takes 2. 25 hrs, then the distance covered by a plane is 1372.5 kilometers.
To calculate the distance the plane flies, we can use the formula:
Distance = Speed × Time
Given that the average speed of the plane is 610 km/hr and the trip takes 2.25 hours, we can substitute these values into the formula to find the distance.
Distance = 610 km/hr × 2.25 hrs
To multiply these values, we need to align the units correctly. By canceling out "hrs" in the numerator and denominator, we get:
Distance = 610 km × 2.25
Multiplying 610 km by 2.25 gives us:
Distance = 1372.5 km
Therefore, the plane flies a distance of 1372.5 kilometers.
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Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane The plane flies 1372.5 km
Let's find the solution to this problem .The formula for distance, speed and time isd
= s * there,
d = distance covered by the planes
= speed t
= time taken
Substituting the given values, we have610 × 2.25 = 1372.5 km
Hence, the plane flies 1372.5 km.
Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane
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A farmer realizes that he is not getting fair price from the agents who buy produce from him and sell it to the markets. As such, he decides to sell produce directly to the local market. This is an example of:
Answers
The farmer's decision to sell produce directly to the local market is an example of vertical integration.
Vertical integration refers to the process of combining different stages of production or distribution within a single company or entity. In this case, the farmer is bypassing the intermediaries or agents who previously bought his produce and sold it to the markets. By selling directly to the local market, the farmer is integrating the production and distribution stages of the supply chain, eliminating the need for intermediaries and gaining more control over the pricing and sales of his products.
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A man and a (non-pregnant) woman both weigh 59 kilograms and are the same age. who requires more protein expressed in grams/day?
Answers
Based on the recommended protein intake of 0.8 grams per kilogram of body weight per day, both the man and the non-pregnant woman would require 47.2 grams of protein per day.
The recommended dietary allowance (RDA) for protein intake is generally based on body weight. According to the Recommended Dietary Allowance for protein, the general guideline is 0.8 grams of protein per kilogram of body weight per day.
In this case, both the man and the non-pregnant woman weigh 59 kilograms. Therefore, their protein requirements would be calculated as follows:
Protein requirement = Body weight (in kilograms) × 0.8 grams/kg/day
For both the man and the non-pregnant woman:
Protein requirement = 59 kg × 0.8 g/kg/day = 47.2 grams/day
Based on the recommended protein intake of 0.8 grams per kilogram of body weight per day, both the man and the non-pregnant woman would require 47.2 grams of protein per day.
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Pls help it’s really late <3
Answers
Answer:
22.4%
Explanation:
The plane is 300000 kg
It is 11000 meters about the earth's surface.
g = 9.81
PE = mgh
PE = 300000 * 9.81 * 11000
PE = 3.24* 10^10
The Kinetic Energy
KE = 1/2 m * v^2
m = 300000
v = 250 m/s
KE = 1/2 300000 * (250 m/s)^2
KE = 9.375 * 10^9
Total Energy = 3.24 * 10^10 + 9.375 * 10^9
Total Energy = 4.17 * 10^10
9.375 * 10^9
=========== * 100 % = 22.44 %
4.17 * 10^10
Helpppppppppppppppppp
Answers
Answer:
Radiant to thermal to chemical
Explanation:
The campfire gives off heat "Radiant" the marshmallow induces the heat"thermal" and the marshmallows chemical composition changes "chemical"
PLEASE ANSWER THIS ASAP THIS IS A SCIENCE QUESTION NO LINKS
Answers
Answer:
I believe the answer would be kinetic energy to thermal energy.
Explanation:
Thermal energy is the heat of the brakes, and the kinetic energy would be when the car is in motion before stopping.
One cloud carries a charge of -1.0 C and another cloud carries a charge
of 5.0 C. The two clouds are 1.5 x 10³ m apart.
Calculate the magnitude of the force between these two charged objects
Write your answer in scientific notation using two significant figures.
N
1/3
Let's use Coulomb's law to calculate the force between the
charged objects:
|FE| = k
9192
p2
Answers
Using Coulomb's law, the magnitude of the force (|FE|) between the two charged clouds can be calculated as:
|FE| = k * (|q1| * |q2|) / r^2
where k is Coulomb's constant, |q1| and |q2| are the magnitudes of the charges on the two clouds, and r is the distance between them.
Substituting the given values, we get:
|FE| = (9 x 10^9 N m^2/C^2) * (|-1.0 C| * |5.0 C|) / (1.5 x 10^3 m)^2
|FE| = (9 x 10^9 N m^2/C^2) * (5.0) / (1.5 x 10^3 m)^2
|FE| = 15 x 10^6 N
To express this answer in scientific notation with two significant figures, we can write:
|FE| = 1.5 x 10^7 N (rounded to two significant figures)
Therefore, the magnitude of the force between the two charged clouds is 1.5 x 10^7 N.
Question 5
Calculate the kinetic energy of a car (m - 800 kg) moving at 15 m/s. Write your answer to the nearest whole number in the blank space
provided. Only write the numerical value of the answer without units. Do not leave any space in between numbers.
Answer: Joules
Answers
Answer:
90,000Explanation:
\(m =800kg\\v = 15\\\\K.E = \frac{1}{2}mv^2\\ K.E= \frac{1}{2} \times 800\times 15^2\\= 400 \times 225\\= 90000 joules\\= 90 kilojoules\)
You need to move a 105 kg sofa to different location in the room. it takes a 403 N to start the sofa moving. what is the coeffecient of static friction between the sofa and the carpet?
Answers
Answer:
Explanation:
Mass of sofa(m) = 105 kg
Force= 403 N
F = μ*N
Where:
F = friction force = 403 [N]
μ = static coefficient
N = Normal force [N]
The normal force of a body lying on a horizontal surface can be calculated by means of the product of mass by gravitational acceleration.
mass × acceleration due to gravity = 105 × 9.8 = 1029
403= μ *1029
substitute force with 403 N and resistance with 1029 × μ
403 = 1029 × μ
μ = 403/1029
= 0.391
Answer = 0.391
An airplane flying at a velocity of 610 m/s lands and comes to a complete stop over a 53 second period of time.
Did this airplane speed up or slow down?
Should your answer be positive or negative? Explain your reasoning.
Calculate the acceleration of the plane.
Answers
Answer:
a = - 11.53[m/s^2]
Explanation:
The airplane slows down as its speed decreases from the initial value of 610 [m/s] to zero.
To calculate the acceleration value we use the following kinematics equation:
\(v_{f} = v_{i}+(a*t)\\\)
where:
Vf = final velocity = 0
Vi = initial velocity = 610 [m/s]
a = acceleration [m/s2]
t = time = 53 [s]
Now replacing:
0 = 610 + (a*53)
-610 = 53*a
a = - 11.53[m/s^2]
The negative sign means that the aircraft is losing speed, i.e. slowing down
Which form of heat transfer occurs through fluid motions?
Answers
"The type of heat transfer that occurs through fluid motions is known as convection."
Convection, which is the extensive movement of molecules within gases and liquids, is the mechanism through which heat is transported. Conduction is used to move heat from the object to the fluid initially, but fluid motion is responsible for the bulk of the heat transfer.
Forced convection is the term for the movement of fluid caused by an external source (such as a fan, blower, etc.), while natural or free convection refers to the movement of fluid that occurs naturally. This type of heat transfer occurs only when the fluid is in motion.
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1. The Earth has a mass of 6.0 E24 kg. The moon has a mass of 7.35E22. The moon is 384,400 km away. What is the force of gravity between the moon and Earth? (Remember to convert km to m!)
2. The gravitational force between two identical bowling balls 0.45m apart is 1.76 E-8. What is the mass of each bowling ball?
3. Mars has a mass of 6.39 E23 kg. Earth has a mass of 6E 24 kg. The gravitational force between them is 8.7 E10 N.How far apart are the two planets?
Please help me.
Answers
Answer:
Explanation:
1 )
mass of earth M = 6 x 10²⁴ kg
mass of moon m = 7.35 x 10²² kg
distance d = 3.84 x 10⁸ m
force of gravity between earth and moon
F= GMm / d²
= 6.67 x 10⁻¹¹ x 6 x 10²⁴ x 7.35 x 10²² / (3.84 x 10⁸ )²
= 19.95 x 10¹⁹ N .
2 )
F= GMm / d²
1.76 x 10⁻⁸ = 6.67 x 10⁻¹¹ x m² / .45²
m² = .0534 x 10³
m = 7.30 kg
3 )
F= GMm / d²
8.7 x 10¹⁰ = (6.6 x 10⁻¹¹ x 6.39 x 10²³ x 6 x 10²⁴) / d²
d² = 29.085 x 10²⁶ m²
d = 5.39 x 10¹³ m .
An ice skater spinning with her arms outstretched and then folded is shown below. When arms are outstretched her moment of inertia is 5.0 kg m2 and she spins at 3.0 revolutions per second. If she pulls in her arms moment of inertia reduces to 2.0 kg m2. How fast, in revolution per seconds, will she be spinning when her arms are folded
Answers
Answer:
Explanation:
To solve this problem, we can use the principle of conservation of angular momentum. Angular momentum is conserved when no external torques act on the system.
The formula for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Given:
I_outstretched = 5.0 kg m^2 (moment of inertia with arms outstretched)
ω_outstretched = 3.0 revolutions per second (angular velocity with arms outstretched)
I_folded = 2.0 kg m^2 (moment of inertia with arms folded)
To find the angular velocity when her arms are folded (ω_folded), we can equate the angular momentum before and after folding:
L_outstretched = L_folded
I_outstretched * ω_outstretched = I_folded * ω_folded
Substituting the given values:
5.0 kg m^2 * 3.0 revolutions per second = 2.0 kg m^2 * ω_folded
Simplifying the equation:
15 revolutions per second = 2.0 kg m^2 * ω_folded
Solving for ω_folded:
ω_folded = 15 revolutions per second / 2.0 kg m^2
ω_folded = 7.5 revolutions per second
Therefore, when the ice skater folds her arms, she will be spinning at a rate of 7.5 revolutions per second.
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