a parallel-plate capacitor has square plates that have edge length equal to 3.60 10 cm and are separated by 1.00 mm. it is connected to a battery and is charged to 12.0 v. 1) how much energy is stored in the capacitor? (express your answer to three significant figures.)
Answers
The energy stored in the capacitor is approximately \(8.27 * 10^{-10} J\).
The energy stored in a parallel-plate capacitor can be calculated using the formula:
\(U = (1/2) * C * V^2\)
Where U is the energy stored, C is the capacitance, and V is the voltage.
The capacitance of a parallel-plate capacitor is given by the formula:
C = εA/d
Where ε is the permittivity of free space \((8.85 * 10^{-12} F/m)\), A is the area of the plates, and d is the distance between the plates.
Converting the edge length of the square plates to meters:
l = 3.60 cm = 0.0360 m
The area of each plate is:
\(A = l^2 = (0.0360 m)^2 = 1.30 * 10^{-3} m^2\)
The distance between the plates is given as 1.00 mm = 0.0010 m.
The capacitance is therefore:
\(C = (8.85 * 10^{-12} F/m) * 1.30 * 10^{-3} m^2 / 0.0010 m = 1.15 * 10^{-11} F\)
The voltage is given as 12.0 V.
Using the formula for energy stored:
\(U = (1/2) * C * V^2 = (1/2) * 1.15 * 10^{-11} F * (12.0 V)^2 = 8.27 * 10^{-10} J\)
Therefore, the energy stored in the capacitor is approximately \(8.27 * 10^{-10} J\).
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Related Questions
this is the formula for calculating the diameter of an unknown microscope field.
Answers
By using this formula =Diameter = Diameter = Known Field Diameter × (Known Magnification / Unknown Magnification)
, you can calculate the diameter of an unknown microscope field, allowing you to estimate the size of the objects you're observing under different magnification levels.
.To calculate the diameter of an unknown microscope field, you can use the formula:
Unknown Field Diameter = Known Field Diameter × (Known Magnification / Unknown Magnification)
Here's a step-by-step explanation of the formula:
1. Determine the known field diameter: This is the diameter of the field of view under a certain magnification, which is usually provided by the microscope manufacturer or can be measured experimentally.
2. Determine the known magnification: This is the magnification level at which the known field diameter was measured.
3. Determine the unknown magnification: This is the magnification level at which you want to calculate the unknown field diameter.
4. Plug the values into the formula and solve for the unknown field diameter.
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For a uniformly accelerated motion the graph of displacement versus time would be
Answers
Explanation:
hope this may help you
have a nice day
Which of the following are states of matter?
A. Liquid
B. Solid
C. Mixture
D. Gas
E. Compound
Answers
Answer:
There are four natural states of matter: Solids , liquids, gases and plasma. The fifth state is the man-made Bose-Einstein condensates. In a solid, particles are packed tightly together, so they don't move much.
Explanation:
newtons _ law of motion states that every action has an equal and opposite reaction
Answers
Answer:
3rd
Explanation:
3rd
What is the period of a wave with a wavelength of 8 cm and a frequency of 0.5 hertz?(1 point)
0.125 seconds
2 seconds
4 seconds
0.0625 seconds
Answers
Answer:2 seconds
Explanation:
A 1-kg mass is dropped from a third floor window. The acceleration of the mass is found to be 8 m/s2. What is the average force of air resistance? A) 1.8 N B) 7 N C) 8 N D) 9.8 N
Answers
m=1kg
a=8 m/s^2
g= 9,8 m/s^2
F(ar)=?
I hope to help you
(c) Another spring has a spring constant of 250 N/m.
Calculate the work done in stretching the spring by 0.30 m.
State the unit.
Use the equation
E = 12 x K x x2
Answers
Im yess hi sksksks sm and then ríndalos dndk
Answers
Need help on this or I’ll completely fail the last semester
Answers
Answer:
Its A I'm 99.9% sure
Explanation:
A gardener mows a lawn with an old-fashioned push mower. The handle of the mower makes an angle of 41.0^0 with the surface of the lawn. If a 62.0-N force is applied along the handle of the 18.0-kg mower, what is the normal force exerted by the lawn on the mower, in newtons?
Answers
The normal force exerted by the lawn on the mower is 137.2 N.
To find the normal force exerted by the lawn on the mower, first we need to understand that there are two forces that are acting upon the mower.
The force applied by the gardener, F = 62 N
Weight of the lawn mower, W = mg = 18 kg × 9.81 m/s² = 176.58 N
The force applied by the gardener is not exactly perpendicular to the ground, so we need to find the component of the force perpendicular to the ground.
This can be done using the formula: F⊥ = F sinθ whereF is the force applied by the gardener andθ is the angle between the handle of the mower and the surface of the lawn.
Substituting the values:F⊥ = 62 sin 41.0°F⊥ = 39.4 N
Now that we have the force perpendicular to the ground, we can find the normal force exerted by the lawn on the mower using the formula: F⊥ + N = WwhereN is the normal force exerted by the lawn on the mower.
Substituting the values:N = W - F⊥N = 176.58 - 39.4N = 137.2 N
Therefore, the normal force exerted by the lawn on the mower is 137.2 N.
Answer: The normal force exerted by the lawn on the mower is 137.2 N.
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mols
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Analyze this: A 238.6-N force is applied at an angle of 18.8° above the horizontal
to accelerate a 14.5-kg object across a level surface. The coefficient of friction is
0.247. Complete the diagram.
H=
Units
Force: N
Mass: kg
Accel'n: m/s/s
Tap on a field to enter or edit its value.
0.247
Fnorm=
=Ffrict
Fgrav =
m=
a=
142.1
14.5
Fx
Fapp=
Fy
Fx =
Fy=
238.6
Pro
Tap for Question-Sp
Help Me
Answers
Answer:
Minus the components
Explanation:
= minus components and figratives = answer 2 4
An object has a fixed volume and a variable shape before it changes state.
After the change, it can change in both shape and volume. Which change of
state has occurred? (APEX)
A. Gas to liquid
B. Solid to liquid
C. Liquid to gas
D. Gas to plasma
Answers
Answer:
AExplanation:
The answer is C because the liquid has to turn into gas which the liquid has volume and a variable shape. Gas does not have volume or shape.
An object has a fixed volume and a variable shape before it changes state. After the change, it can change in both shape and volume then the change of state occurred was liquid to gas
What is the matter?
Anything which has mass and occupies spaces is known as matter ,mainly there are four states of matter solid liquid gases, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
Liquid has a fixed volume but it can change its shape to any form but gases can change their volume as well as shape, therefore the correct answer is C.
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what is known as the thermal property of an assembly, which is more directly related to heat flow through a building assembly. also known as thermal transmittance
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The thermal property of an assembly that is directly related to heat flow through a building assembly and is also known as thermal transmittance is called U-value.
The U-value, also known as thermal transmittance, is a measure of the rate of heat transfer through a building assembly, such as walls, roofs, windows, or doors. It quantifies how well the assembly conducts heat. The U-value represents the amount of heat flowing through one square meter of the assembly for every degree of temperature difference between the indoor and outdoor environments.
A lower U-value indicates better insulation and reduced heat loss or gain. It is an important factor in determining the energy efficiency and thermal performance of a building assembly.
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hi,please i need help with this one in physics.hurry and correct i need it.
Topic:Equilibrium.
Answers
The half-meter rule (easy math) is 0.5 meters or 50 centimeters since a meter is 1 meters long, which is equivalent to 100 centimeters. Therefore, we shall apply the 50 cm rule.
A 50 cm rule's center of mass is now 25 cm away.
Additionally, according to the data, the object is pivoted at 15 cm, while the 40 g object is hung at 2 cm from the rule's beginning. Using a straightforward formula, we can compare the two situations: the distance from the pivot to the center of the mass times the mass of the 40 g object divided by 2 cm must equal the distance from the pivot to the center of the mass times mass of the 10 x g object
The result of the straightforward computation must be 52g.
Most simplified version:
the center of mass of the rule is at the 25 cm mark
⇒ \(40 g * (15 cm - 2 cm)\)
⇒ \(= M * (25 cm - 15 cm)\)
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what is the approximate length of an astronomical unit
Answers
An astronomical unit (AU) is approximately 149.6 million kilometers (93 million miles), representing the average distance between the Earth and the Sun.
represent distances within the Solar System. It is approximately equal to the average distance between the Earth and the Sun.The current accepted value for the length of an astronomical unit is approximately 149.6 million kilometers (93 million miles) or about 8.3 light minutes. This value provides a useful reference for measuring distances within our Solar System.The AU is frequently used to express distances between planets, asteroids, and other celestial bodies in our solar system.
For example, the average distance from the Sun to Earth is approximately 1 AU, while the average distance from the Sun to Mars is about 1.5 AU.
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How much energy has 4×10^10m^3 of water collected in a reservoir at a hight of 100 m from the power house ?What kind of energy is that?
Answers
Answer:
PE = 3.92x10^16J
potential energy
Explanation:
PE = m*g*h
mass of water = 1000kg/m³
(4*10^10m³)*1000kg = 4*10^13kg
PE = (4*10^13kg)*(9.81m/s²)*(100m)
PE = 3.92x10^16J
1. Your friend tells you that the time-dependence of their car's acceleration along a road is given by a(t) = yt² + yt, where is some constant value. Why must your friend be wrong? (10 points) 2. A p
Answers
Your friend must be wrong because the time-dependence of acceleration is given by the derivative of velocity with respect to time, not the time itself. The equation a(t) = yt² + yt does not represent the correct relationship between acceleration and time.
Acceleration is defined as the rate of change of velocity with respect to time. In mathematical terms, it is the derivative of velocity with respect to time, denoted as a(t) = dV/dt. Therefore, the equation a(t) = yt² + yt provided by your friend does not represent the correct relationship between acceleration and time.
To determine the correct relationship, we need to integrate the equation for acceleration to obtain the velocity function. Given that a(t) = yt² + yt, integrating both sides with respect to time gives V(t) = (1/3)yt³ + (1/2)yt² + C, where C is the constant of integration. However, this equation represents the velocity as a function of time, not the acceleration.
Your friend's equation a(t) = yt² + yt for the time-dependence of acceleration is incorrect. Acceleration is the derivative of velocity with respect to time, not a function of time itself. The correct relationship can be obtained by integrating the acceleration equation, yielding the velocity as a function of time.
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The force of gravity acts to pull any two objects with mass together. The force that pulls the moon toward the Earth also pulls the Earth toward the moon.
Why doesn’t the Earth orbit the moon?
Answers
The earth does not orbit the moon because that is a difference in their masses.
Why the earth does not orbit the moonThe Earth and the Moon are both pulled towards each other by the force of gravity. However, the reason that the Earth orbits around the Moon, rather than the other way around, is due to the difference in their masses.
The mass of the Earth is much larger than the mass of the Moon, so it has a stronger gravitational force than the Moon. As a result, the Moon is pulled toward the Earth with a greater force than the Earth is pulled toward the Moon.
This difference in the gravitational force causes the Moon to move in a curved path around the Earth, while the Earth moves in a relatively straight path. This curved path of the Moon around the Earth is what we refer to as an orbit.
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The orbit of the binary pulsar PSR 1936+16, studied by Taylor and Hulse, a. is so small that the orbital period is smaller than the pulsar period. b. is growing smaller, presumably by emitting gravitational waves. c. provides evidence that it is being orbited by at least 6 planets the size of Jupiter. d. shows large changes each time an X ray burst is emitted from the system. e. contains a white dwarf and a black hole.
Answers
The orbit of the binary pulsar PSR 1936+16 studied by Taylor and Hulse is B. It is growing smaller, presumably by emitting gravitational waves.
This phenomenon is known as "orbital decay" and is one of the key predictions of Einstein's theory of General Relativity. As the pulsar and its companion orbit each other, they emit gravitational waves that carry energy away from the system, causing the orbit to shrink over time. This effect has been observed in many other binary pulsars as well.
The other options listed in the question are not correct. The orbit of PSR 1936+16 is not so small that the orbital period is smaller than the pulsar period (option A). There is no evidence that the pulsar is being orbited by at least 6 planets the size of Jupiter (option C).
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blank are scientist who study living things.
Answers
Answer:
Biologist >
Explanation:
A biologist is a scientist who examines organisms that are alive.
:)
12. A 10 mH inductor and a 100 a resistor are connected in parallel. The circuit is supplied with 24 VAC
2,000 Hz. What's the impedance (rounded) of the circuit?
A. 57.382
B. 108.7122
C. 78.23 22
D. 98.16 22
Answers
The impedance of the given AC circuit containing resistor and inductor parallel to each other is 55.71 ohms.
The given parameters;
inductance of the inductor, L = 10 mHresistance of the resistor, R = 100 ohmsThe inductive reactance is calculated as follows;
\(\omega _l = 2\pi fl\\\\\omega _l = 2\times 3.142 \times 2,000\times 10\times 10^{-3} = 125.68 \ ohms\)
The impedance is the total opposition to the flow of current in the AC circuit and it is calculated as follows;
\(Z _{total} = \frac{1}{\frac{1}{Z_l} + \frac{1}{Z_R} } \\\\Z _{total} = \frac{1}{\frac{1}{125.68} + \frac{1}{100} }\\\\Z _{total} = 55.71 \ ohms\)
Thus, the impedance of the given circuit is 55.71 ohms.
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Light my fire! Mix me with cerium and we’ll make beautiful mischmetal together!
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rotational kinetic energy is analogous to linear kinetic energy with the mass replaced by ________
a. the moment of inertia
b. the density
c. the torque
d. the center of mass
e. the net mass
Answers
The correct answer is "the moment of inertia". Rotational kinetic energy refers to the energy of an object that is rotating around an axis, while linear kinetic energy refers to the energy of an object that is moving in a straight line.
In the case of rotational kinetic energy, the mass of the object is replaced by the moment of inertia, which takes into account the object's shape and distribution of mass around the axis of rotation. The moment of inertia determines how difficult it is to start or stop an object's rotation. Therefore, when calculating rotational kinetic energy, it is important to use the moment of inertia instead of the mass.
This allows us to accurately describe and analyze the behavior of rotating objects in various contexts. Rotational kinetic energy is analogous to linear kinetic energy, with the mass replaced by the moment of inertia (option a).
In linear motion, kinetic energy is given by the formula KE = 0.5 * m * v2, where m is the mass and v is the velocity. In rotational motion, kinetic energy is given by the formula KE_rotational = 0.5 * I * 2, where I is the moment of inertia and is the angular velocity.
The moment of inertia plays a similar role in rotational kinetic energy as mass does in linear kinetic energy, accounting for the distribution of mass around the axis of rotation and its resistance to changes in rotational motion.
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If you go to Mars would you be heavier or lighter
Answers
Answer:
I mean you could just look it up... but here the answer for you ,so you know it's right...
Explanation:
:)
Which of the following describes the correct order of energy conversions necessary to form electricity from solar panels?
Solar Heat Kinetic → Electric
Solar- Kinetic Heat → Electric
Solar 1 Heat → Electric
O Solar ->Electric
Answers
Answer:
hydrochlorine +12÷B to the power of 4 -× y reapeated zminus 2 to the power of 9
definition of motion?
Answers
Answer: The action of something moving or being moved
Explanation:
Answer:
The act or process of changing position or place.
Example:
Wind.
A ball being thrown.
Someone running.
A fish swimming.
Example in a sentence:
Raindrops fell as if in slow motion, and lightning stayed, brighter than the midday sun.
Which statements describe a situation in which work is being done? Check all that apply.
Answers
A point charge q1exerts an electric force on a second point charge q2. If a third charge q3is brought near to q2, the electrostatic force exerted by q1on q2will(Presence of charges in the vicinity does not change the force between any two charges)AdecreaseBincreaseCremain unchangedDincreases, if q3is of same sign as q1and decreases, if q3is of opposite sign.
Answers
The electrostatic force between two point charges remains unchanged in the presence of other charges, and the presence of a third charge does not affect the force between the two original charges hence C) is the correct option.
The electrostatic force between two point charges is determined by Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
The electrostatic force between two point charges is independent of the presence of other charges in the vicinity.
Therefore, the presence of a third point charge q3 near q2 will not change the electrostatic force exerted by q1 on q2. The force exerted by q1 on q2 will remain unchanged, regardless of whether q3 is of the same sign or opposite sign as q1.
This is because the electrostatic force between two point charges depends only on their charges and the distance between them, and not on the presence of other charges.
Therefore, the electrostatic force between two point charges remains unchanged in the presence of other charges, and the presence of a third charge does not affect the force between the two original charges hence option C) is the correct option.
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how many minutes does it take for light from the sun to reach earth
Answers
The distance from the Sun to the Earth is about 93 million miles, and the speed of light is approximately 186,000 miles per second. So, it takes about 8 minutes for light from the Sun to reach the Earth.
This means that the light that we see from the Sun is actually 8 minutes old. It's a fascinating thought that we are seeing the Sun as it was 8 minutes ago.
The speed of light is an incredibly important concept in astronomy and physics, as it's the fastest speed possible in the universe. Without light, we wouldn't be able to see anything around us, and the world would be a very different place. The study of light and its behavior has helped us to understand the universe in a much more profound way, and it continues to be a subject of great scientific interest and discovery.
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A bridge 148.0 long is built of a metal alloy having a coefficient of expansion of 12.0 x 10-6/K. If it is built as a single, continuous structure, by how many centimeters will its length change between the coldest days (-29.0) and the hottest summer day (41.0)?
Answers
The change in length of the bridge between the coldest and hottest days is approximately 31.392 centimeters.
To calculate the change in length, we can use the formula: ΔL = α * L0 * ΔT, where ΔL is the change in length, α is the coefficient of linear expansion, L0 is the initial length, and ΔT is the temperature difference. Plugging in the values: α = 12.0 x 10^-6/K, L0 = 148.0 meters, and ΔT = 41.0°C - (-29.0)°C = 70.0°C, we can calculate ΔL as follows: ΔL = (12.0 x 10^-6/K) * (148.0 meters) * (70.0°C) = 0.12408 meters. Converting to centimeters, the change in length is approximately 31.392 centimeters.
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