Calculate the capacitance of a parallel-plate capacitor whose plates are 22 cm x 8 cm and are separated by a 0.1 cm gap.

Answers

Answer 1

The capacitance of the parallel-plate capacitor with plates of dimensions 22 cm x 8 cm and separated by a 0.1 cm gap is approximately 1.76 nF.

The capacitance (C) of a parallel-plate capacitor is determined by the area of the plates (A) and the separation distance between the plates (d), according to the formula:

C = ε₀ * (A / d)

Where:

C is the capacitance (in farads)

ε₀ is the permittivity of free space (approximately 8.85 x 10^-12 F/m)

A is the area of the plates (in square meters)

d is the separation distance between the plates (in meters)

The plates have dimensions of 22 cm x 8 cm, which is equivalent to 0.22 m x 0.08 m.

The gap between the plates is 0.1 cm, which is equivalent to 0.001 m.

We can substitute these values into the formula to calculate the capacitance:

C = (8.85 x 10^-12 F/m) * ((0.22 m * 0.08 m) / 0.001 m)

≈ 1.76 x 10^-9 F

≈ 1.76 nF

Therefore, the capacitance of the parallel-plate capacitor is approximately 1.76 nF.

The capacitance of the parallel-plate capacitor with plates of dimensions 22 cm x 8 cm and separated by a 0.1 cm gap is approximately 1.76 nF.

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Related Questions

How do doctors use hemoglobin levels to decide weather or not someone was blood doping?

Answers

Hemoglobin is a protein that carries oxygen to body tissues. High levels of hemoglobin are associated with blood doping, which is the practice of artificially enhancing the amount of oxygen-carrying capacity in blood by boosting the amount of red blood cells available to carry oxygen.

Blood doping can be detected by monitoring hemoglobin levels. Normally, the hemoglobin levels in men range from 14 to 17.5 g/dL and in women from 12.3 to 15.3 g/dL. Hemoglobin levels higher than these ranges are indicative of blood doping.

In addition to measuring hemoglobin levels, doctors can also use other blood tests to identify blood doping, including tests that detect erythropoietin (EPO), a hormone that stimulates the production of red blood cells.

Blood doping can have severe health consequences, such as increased risk of blood clots, heart attack, and stroke.

Therefore, it is essential to detect blood doping to protect athletes and other individuals who may be tempted to engage in this practice.

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light waves a. require a medium. c. are caused by a vibrating object. b. cannot travel through solids.

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Light waves cannot travel through solid objects. Therefore, the correct answer is option B.

Lightwaves or visible light are a part of electromagnetic waves/radiation that can be perceived by the human eye. It can travel through various types of mediums and even in a vacuum.

When light travels, it interacts with the atoms and molecules in the medium that it is going through. Because of that, light travels fastest in an empty space and travels the slowest in solid objects.

That being said, light can not travel through many kinds of solid objects. It's because solid objects tend to absorb light instead of allowing it to pass through them.

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light waves a. require a medium. c. are caused by a vibrating object. b. cannot travel through solids.

answer questions show work #3
3. Determine the value of ID and VDs for the DS following amplifier. 10 RD 10V 3KD Points 0.47μF 01 G= 0.47μF Hilt RG 1.5MO -1V N5486 VGSoff = -4V IDSS = 14mA

Answers

The given amplifier circuit is a common-source amplifier. The equivalent circuit diagram of the amplifier includes a MOSFET N5486 transistor. We can determine the drain current (ID) and drain-source voltage (VDS) using the following equations:

1. Voltage at the source terminal (VS) is calculated using Ohm's law: VS = IS x RS.2. The drain current (ID) can be calculated using the equation ID = IS (1 + GVin), where Vin is the input voltage, G is the voltage gain, and IS is the current flowing through RD.Let's calculate the values of ID and VDS:

Given:- IS = VDD / RD = 10V / 10Ω = 1A- Vin = -1V / (1.5 x 10^6Ω + 0.47μF) = -0.6666667μA (using voltage divider rule)- G = -RD / RS = -10Ω / 3kΩ = -0.003333 Calculating ID:ID = 1A (1 - 0.003333 x 0.6666667 x 10^6)≈ 0.997A = 997mACalculating VDS:VDS = VDD - IDRD= 10V - 997mA x 10Ω≈ 10V - 9.97V≈ 0.03VTherefore, the values of ID and VDS are approximately ID = 997mA and VDS ≈ 0.03V, respectively.

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joule is a unit of_____and_____​

Answers

Answer:

Energy and work

.........

Answer:

Work Energy

Explanation:

Joule is a unit of Work and energy .

Hope my answer is helpful to you ✌️❣️☪️❇️☪️❣️✌️

To steadily (constantly) increase the velocity of something requires a steadily increasing force. decreasing force. constant net force. none of the above

Answers

To steadily increase the velocity of something, it requires c. constant net force.

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this is represented as F = ma, where F is the net force, m is the mass, and a is the acceleration.  When a constant net force acts on an object, it causes the object to accelerate at a constant rate. This acceleration leads to a steady increase in the object's velocity.

It is important to note that a steadily increasing force would result in an object experiencing an increasing acceleration, which would cause the velocity to increase at an increasing rate rather than steadily. On the other hand, a decreasing force would result in a decreasing acceleration, causing the velocity to increase at a slower rate or even decrease. In conclusion, to steadily increase the velocity of an object, a constant net force must be applied to it. This constant force leads to a constant acceleration, which in turn results in a steady increase in the object's velocity.

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A mass of 4.0 kg, resting on a horizontal frictionless surface, is attached on the right to a horizontal spring with spring constant 20 N/m and on the left to a horizontal spring with spring constant 50 N/m. If this system is moved from equilibrium, what is the effective spring constant?

Answers

This system is moved from equilibrium. So, the effective spring constant of the system is 33.33 N/m.

Due to the series connection of the two springs, this occurs. The sum of the individual spring constants divided by the quantity of springs in a series connection yields the overall spring constant.

In light of this, the system's effective spring constant is equal to (20 N/m + 50 N/m) / 2 or 33.33 N/m.

The spring constants must be added up, and the resulting value used to calculate displacement, in order to obtain the overall displacement of the mass.

This means that for every unit of force applied to the mass, it will move 33.33 N/m.

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When light hits a surface it usually bounces off at a larger angle. True or false? Justify

Answers

Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

A single tube-pass heat exchanger is to be designed to heat water by condensing steam in the shell. The water is to pass through the smooth horizontal tubes in turbulent flow, and the steam is to be condensed dropwise in the shell. The water flow rate, the initial and final water temperatures, the condensation temperature of the steam, and the available tube-side pressure drop (neglecting entrance and exit losses) are all specified. In order to determine the optimum exchanger design, it is desirable to know how the total required area of the exchanger varies with the tube diameter selected. Assuming that the water flow remains turbulent and that the thermal resistance of the tube wall and the steam-condensate film is negligible, determine the effect of tube diameter on the total area required in the exchanger.

Answers

The total required area of the heat exchanger decreases with increasing tube diameter.

When designing a single tube-pass heat exchanger to heat water by condensing steam in the shell, the total required area of the exchanger is influenced by the tube diameter selected. In this scenario, the water flows through smooth horizontal tubes in a turbulent flow while the steam is condensed dropwise in the shell.

The tube diameter plays a significant role in determining the total required area of the exchanger. As the tube diameter increases, the cross-sectional area for water flow also increases. This results in a higher flow area for the water, reducing its velocity. With reduced velocity, the water spends more time in contact with the tube wall, leading to a greater heat transfer rate.

As the heat transfer rate increases, the overall heat transfer efficiency improves, and consequently, the required area of the exchanger decreases. This is because larger tube diameters provide a larger heat transfer surface area, allowing for more efficient heat exchange between the water and the steam.

The effect of tube diameter on the total required area in a single tube-pass heat exchanger can be explained by considering the fluid dynamics and heat transfer processes involved. The increase in tube diameter allows for a larger cross-sectional area, which leads to a decrease in water velocity. This reduced velocity enhances the contact time between the water and the tube wall, facilitating better heat transfer.

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A long, horizontal wire Ab rests on the surface of a table and carries a current I. A horizontal wire CD is vertically above wire AB , and is free to slide up and down on the two vertical metal guides C and D ( as shown in Fig) .Wire CD is connected through the sliding contacts to another wire that also carries a current I , opposite in direction to the current in wire AB . The mass per unit length of the wire CD is λ. To what equilibrium height h will the wire CD rise. assuming that magnetic force on it is wholly due to current in wire AB ?

Answers

The equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg

What is magnetic field ?

A region in which the force of magnetism acts is known as the magnetic field, and it surrounds magnetic materials or a moving electric charge. Moving magnetic dipoles and electric charges produce a magnetic field, which acts as a force field on other nearby magnetic dipoles and moving charges.

Magnetic field at a distance h produced by a current carrying wire

B = μ₀I/ 2πh

Magnetic force due to the present current carrying wire can be calculated by the formula

F = B I  L

And we also know that F = mg

On equating these mg = B I L

( μ₀I/ 2πh ) I = ( m/ I ) g = λg

thus we get the value of h as

h = μ₀I² / 2π λg

Thus, the equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg .

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What differentiates the two types of human cloning?

Answers

Answer:

Reproductive cloning involves creating an animal that is genetically identical to a donor animal through somatic cell nuclear transfer. In reproductive cloning, the newly created embryo is placed back into the uterine environment where it can implant and develop. Dolly the sheep is perhaps the most well known example. In therapeutic cloning, an embryo is created in a similar way, but the resulting "cloned" cells remain in a dish in the lab; they are not implanted into a female's uterus.

Answer:

Reproductive cloning involves creating an animal that is genetically identical to a donor animal through somatic cell nuclear transfer. In reproductive cloning, the newly created embryo is placed back into the uterine environment where it can implant and develop. Dolly the sheep is perhaps the most well known example. In therapeutic cloning, an embryo is created in a similar way, but the resulting "cloned" cells remain in a dish in the lab; they are not implanted into a female's uterus.

A merry-go-round of radius 2 m is rotating at one revolution every 5 s. A
child is located at 1 m from the axis. A teenager is located at 2 m from the
axis.
What is the angular speed of the child?
What is the angular speed of the teenager?
What is tangential speed of the child?
What is the tangential speed of the teenager?

Answers

Answer:

a) The angular speed of the child is approximately 1.257 rad/s

b) The angular speed of the teenager is approximately 1.257 rad/s

c) The tangential speed of the child is approximately 1.257 m/s

d) For the child, r = 2 m

The tangential speed of the teenager is approximately 2.513 m/s

Explanation:

The revolutions per minute, r.p.m. of the merry-go-round = 1 revolution/(5 s)

The radius of the merry-go-round = 2 m

The location of the child = 1 m from the axis

The location of the teenager = 2 m from the axis

1 revolution = 2·π radians

Therefore, we have;

The angular speed, ω = (Angle turned)/(Time elapsed) = (2·π radians)/(5 s)

∴ The angular speed of the merry-go-round, ω = 2·π/5 radians/second

a) The angular speed of the child = The angular speed of the merry-go-round = 2·π/5 radians/second ≈ 1.257 rad/s

b) The angular speed of the teenager = The angular speed of the merry-go-round = 2·π/5 radians/second ≈ 1.257 rad/s

c) The tangential speed, v = r × The angular speed, ω

Where;

r = The radius of rotation of the object

For the child, r = 1 m

The tangential speed of the child = 1 m × 2·π/5 radians/second = 2·π/5 m/s ≈ 1.257 m/s

d) For the child, r = 2 m

The tangential speed of the teenager = 2 m × 2·π/5 radians/second = 4·π/5 m/s ≈ 2.513 m/s

Why we need football?

Answers

Because of nationalism bringing people together and a passion

Answer:

bc we play when we are bored and some people use it as a tradition to play on thanksgiving

Friends tell you that on a recent trip their average velocity was +20 m/s. Is it possible that at any time during their trip their velocity was -20 m/s? Explain, and give an example to justify your answer. PLEASE HELP

Answers

Answer: Yes. Please find the answer in the explanation.

Explanation:

Yes. Since velocity is a vector quantity, that is, it has both magnitude and direction.

If the displacements covered are not of the same direction, the velocity will not also of the same direction.

Take for instance, if the velocity in a positive is 40 m/s and velocity in the opposite direction is - 20 m/s . Then, the resultant velocity will be 40 - 20 = 20 m/s

Therefore,  it is possible that at any time during their trip their velocity was -20 m/s.

Why are fossils more commonly found in sedimentary rocks and not igneous rocks?

Answers

The reason you only see fossils in sedimentary rock is that these set of rocks are formed in much lower pressure and temperature, compared to the other types of rocks like igneous rocks.



If this woman pushes down on her lever with a force of 25N and the rock moves with a
force of 100N, what was the mechanical advantage?

Answers

Answer:

0.25

Explanation:

an object in motion will have a speed which is a scaler , or ( blank ) which is a vector .

Answers

Answer:

Velocity

Explanation:

Objects in motion usually have a speed which is scalar or velocity which is a vector.

A scalar quantity is one with magnitude but has no directional attribute.

A vector quantity is one with both magnitude and directional attribute.

Speed is a scalar quantity that describes the magnitude of motion a body accrues.

Velocity is a vector quantity that describes both the magnitude of motion and the direction of motion in a body.

Which of the following statements is true?

Observations are often used to form questions about the world.
The dependent variable is changed by the experimenter.
The best hypotheses are written as answers to a question.
A hypothesis is created at the end of an experiment.

Answers

Answer:

The answer is B.

Explanation:

They are in control of the experiment, they can change it the variables to better help the experiment.

Answer:

b

Explanation: its b

How does friction between the plunger and the syringe affect the pressure?
If there is a tiny leak in the system, how would this affect your results?
How does the warming of the air in the syringe by your hands affect your results?

Answers

Friction between the plunger and the syringe can affect the pressure by introducing resistance to the movement of the plunger. This resistance can lead to an increase in the applied force required to push or pull the plunger, resulting in a higher pressure within the syringe.

If there is a tiny leak in the system, it would affect the results by allowing air to escape or enter the syringe, resulting in a change in the pressure. The leak would disrupt the sealed environment, altering the equilibrium between the air inside the syringe and its surroundings, potentially leading to inaccurate pressure measurements.

The warming of the air in the syringe by your hands can also affect the results. Heating the air increases its temperature, which in turn increases the kinetic energy of the air molecules. This increased kinetic energy leads to an increase in the pressure of the air inside the syringe. Therefore, warming the air with your hands can cause an increase in the measured pressure.

Friction between the plunger and the syringe affects the pressure by introducing additional resistance to the movement of the plunger.If there is a tiny leak in the system, it would affect the results by allowing air to escape or enter the syringe.The warming of the air in the syringe by your hands can affect the results by causing the air to expand.

Friction between the plunger and the syringe affects the pressure by introducing additional resistance to the movement of the plunger. As you push or pull the plunger, the frictional force opposes the applied force, making it harder to compress or expand the air inside the syringe. This increased resistance reduces the pressure produced by the system.

If there is a tiny leak in the system, it would affect the results by allowing air to escape or enter the syringe. As a result, the pressure inside the syringe would not remain constant, and the measured pressure would be lower than expected. The leak would lead to a loss of air and affect the accuracy and reliability of the pressure measurements.

The warming of the air in the syringe by your hands can affect the results by causing the air to expand. When air is warmed, its molecules gain energy and move faster, leading to increased kinetic energy and collisions with the syringe walls. This increase in molecular motion results in an increase in pressure within the syringe. Therefore, warming the air in the syringe would lead to a higher pressure reading compared to the initial conditions. It is important to note that the extent of this effect would depend on the temperature change and the sensitivity of the pressure measurement apparatus.

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nitrogen gas at standard atmospheric pressure 101.3kPa has a volume of 0.080m^3 . if there are 3.0 mol of gas what is the temperature of nitrogen gas

Answers

Answer:

Approximately \(52\; {\rm ^\circ C}\) (approximately \(325\; \rm K\)), assuming that nitrogen is an ideal gas.

Explanation:

Let \(P\) denote the pressure of this nitrogen gas sample.Let \(V\) denote the volume of this nitrogen gas sample.Let \(n\) denote the number of moles of \(\rm N_{2}\) molecules in this nitrogen gas sample.Let \(T\) denote the absolute temperature of this nitrogen gas sample (typically measured in degrees kelvins.)

Let \(R\) denote the ideal gas constant. By the ideal gas law, the following equation would relate these quantities:

\(P \cdot V = n \cdot R \cdot T\).

Rearrange this equation to obtain an expression for \(T\):

\(\begin{aligned}T &= \frac{P \cdot V}{n \cdot R}\end{aligned}\).

Look up the ideal gas constant: \(R \approx 8.314\; \rm Pa \cdot m^{3} \cdot K^{-1} \cdot mol^{-1}\).

Convert each measurements from the question to standard units:

\(P = 101.3\; \rm kPa = 101.3 \times 10^{3}\; \rm Pa\).\(V = 0.080\; \rm m^{3}\).\(n = 3.0\; \rm mol\).

Substitute these values into the expression for \(T\):

\(\begin{aligned}T &= \frac{P \cdot V}{n \cdot R} \\ &\approx \frac{101.3\times 10^{5}\; \rm Pa \times 0.080\; \rm m^{3}}{3.0\; \rm mol \times 8.314\; \rm Pa \cdot m^{3} \cdot K^{-1} \cdot mol^{-1}} \\ &\approx 324.91\; \rm K\end{aligned}\).

Convert the unit of this temperature to degrees celsius:

\(\begin{aligned} & 324.91\; \rm K \\ =\; & (324.91 - 273.15)\; {\rm ^\circ C} \\ \approx \; & 52\; {\rm ^\circ C} \end{aligned}\).

what is the purpose of the frets on a guitar. in terms of the frequency of the vibration of the strings

Answers

To learn frequency to known frequency and frets of guitar.

What is frequency?

The number of waves that pass a fixed point in a unit of time is referred to as frequency in physics. It also describes how many vibrations or cycles a body in periodic motion makes in a given amount of time.

What is the purpose of frets?

Frets, which determine the positions for the proper notes, make it much simpler for a player to achieve an acceptable standard of intonation. Furthermore, playing chords accurately is made simpler by a fretted fingerboard.

Frequency of the vibrations of the strings.

f=2LnmT, where T is the tension in the string, L is the length, and n is the number of harmonics, gives the frequency of vibration of a string.

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What type of energy is due to motion potential energy or kinetic energy

Answers

Answer:

Kinetic Energy

Explanation:

Potential Energy is where something is building up energy to move.

Answer:

Kinetic Energy

Explanation:

Calculate the displacement of an object at 2.0 seconds when thrown straight up with an
initial velocity of 15 m/s.

Answers

Answer:

30m

Explanation:

Velocity is the change of rate of displacement with respect to time.

velocity = displacement/time

Given

initial velocity = 15 m/s.

time taken =2 secs

Required

Displacement of the object

From the formula;

Displacement = Velocity * time

Displacement = 15 * 2

Displacement = 30m

Hence the displacement of the object is 30m

block 1 slides rightward on the floor toward an ideal spring attached to block 2, as shown. at time t1, block 1 reaches the spring and starts compressing it as block 2 also starts to slide to the right. at a later time, t2, block 1 loses contact with the spring. both blocks slide with negligible friction. taking rightward as positive, which pair of graphs could represent the acceleration of block 2 and the center-of-mass acceleration of the two-block system?

Answers

When block 1 slides rightward toward the ideal spring attached to block 2, it gains kinetic energy. As it compresses the spring, the spring gains potential energy, converted back into kinetic energy as the spring decompresses and block 2 starts to slide to the right.

The acceleration of block 2 will be positive since it is moving in a positive direction. The center-of-mass acceleration of the two-block system will also be positive since both blocks are moving to the right. Pair A could represent the acceleration of block 2 and the center-of-mass acceleration of the two-block system. The graph shows a positive acceleration that increases with time, consistent with the scenario described. Pair B could not represent the acceleration since the chart shows negative acceleration, and Pair C could not represent the center-of-mass acceleration since the graph shows no change in acceleration.

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FILL IN THE BLANK. Because of the dangers associated with the open neutral (grounded conductor), nec 300. 13(b) does not permit the continuity of the ____ conductor to depend on a receptacle

Answers

The correct option is B. Because of the dangers associated with the open neutral (grounded conductor), NEC 300.13(B) does not permit the continuity of the grounded (neutral) conductor to depend on a receptacle.

In physics, a receptacle refers to a container or device that is used to collect, store, or contain a substance or energy. It can be a physical object such as a beaker, flask, or tank, or it can be an abstract concept such as a magnetic field that can store energy.

The properties and design of a receptacle depend on the nature of the substance or energy it contains. For example, a receptacle for storing a gas must be airtight, while a receptacle for storing a liquid must be watertight. In the case of energy, a receptacle may be designed to contain electromagnetic radiation or electric charge.

Receptacles play a crucial role in many areas of physics, from laboratory experiments to industrial processes. They enable scientists and engineers to safely collect and store substances and energy for further study or use. Without receptacles, much of modern physics research and technology would not be possible.

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Complete Question:

Because of the dangers associated with the open neutral (grounded conductor), NEC 300.13(B) does not permit the continuity of the ____ conductor to depend on a receptacle.

a. ungrounded

b. grounded (neutral)

c. both a and b

d. none of the above

most of the symptoms of physical dependence on tobacco pass in

Answers

Most of the symptoms of physical dependence on tobacco pass in a matter of weeks to a few months after quitting smoking.

Most of the symptoms of physical dependence on tobacco pass in a matter of weeks to a few months after quitting smoking.

Physical dependence on tobacco is primarily caused by the addictive substance nicotine present in tobacco products. When someone smokes or uses tobacco regularly, their body becomes accustomed to nicotine and develops a tolerance, leading to withdrawal symptoms when they try to quit.

Withdrawal symptoms associated with nicotine dependence can include cravings for tobacco, irritability, anxiety, difficulty concentrating, increased appetite, restlessness, and sleep disturbances. However, these symptoms are typically temporary and gradually diminish over time.

Within the first few weeks of quitting smoking, the intensity and frequency of withdrawal symptoms tend to reduce significantly. After several months, most individuals experience a significant reduction or complete resolution of physical dependence symptoms.

It's important to note that the duration and severity of withdrawal symptoms can vary among individuals, and additional support, such as counseling or nicotine replacement therapy, can help manage the process of quitting and reduce the impact of withdrawal symptoms.

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What is the energy of a photon with a frequency of 2.2 x 1016 Hz? Planck's constant is 6.63 x 10-34 Jos.
O 1.5 x 10-17
8.8 x 10-17
O 1.5 10-16
O 8.8 10-16

Answers

Answer: 1.5 × 10^-17

Explanation:

Given the following :

Frequency(f) = 2.2 × 10^16 Hz

Planck's constant(h) = 6.63 × 10^-34

The energy of a photon 'E' is given as the product of frequency and the planck's constant

E = hf

E = (6.63 × 10^-34) × (2.2 × 10^16)

E = 6.63 × 2.2 × 10^(-34 +16)

E = 14.586 × 10^-18

E = 1.4586 × 10^-17

E = 1.5 × 10-17 (2 S. F)

Answer:

C. 1.5 × 10–16 J

Explanation:

A grinding wheel is a uniform cylinder with a radius of 7.50 cm and a mass of 0.700 kg . Calculate the applied torque needed to accelerate it from rest to 1750 rpm in 5.70 s . Take into account a frictional torque that has been measured to slow down the wheel from 1500 rpm to rest in 47.0 s.

Answers

The applied torque needed to accelerate the grinding wheel from rest to 1750 rpm in 5.70 s, considering the measured frictional torque, is 0.0291 N·m.

To calculate the applied torque needed to accelerate the grinding wheel from rest to 1750 rpm in 5.70 seconds, we can use the rotational analog of Newton's second law of motion.

The formula for torque is given by:

τ = Iα

Where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

The moment of inertia for a uniform cylinder rotating about its central axis is given by:

I = (1/2)mr²

Where m is the mass of the cylinder and r is the radius.

First, let's calculate the moment of inertia:

I = (1/2)(0.700 kg)(0.0750 m)²

  = 0.00101 kg·m²

Next, we need to determine the angular acceleration. We can use the relationship between angular acceleration (α) and change in angular velocity (Δω):

α = Δω / Δt

Given that the change in angular velocity (Δω) is from 0 to 1750 rpm (or 183.26 rad/s) and the time (Δt) is 5.70 s, we can calculate the angular acceleration:

α = (183.26 rad/s) / (5.70 s)

  = 32.13 rad/s²

Now, we can calculate the applied torque:

τ = (0.00101 kg·m²)(32.13 rad/s²)

  = 0.0325 N·m

To calculate the frictional torque, we need to determine the change in angular velocity and the time it takes for the wheel to slow down from 1500 rpm to rest.

The change in angular velocity (Δω) is from 1500 rpm to 0, which is -157.08 rad/s. The time (Δt) is 47.0 s.

The frictional torque can be calculated using the formula:

τ_friction = I(Δω / Δt)

τ_friction = (0.00101 kg·m²)(-157.08 rad/s / 47.0 s)

              = -0.00338 N·m

Note that the negative sign indicates that the frictional torque acts in the opposite direction.

Finally, the net torque (τ_net) is the sum of the applied torque and the frictional torque:

τ_net = τ_applied + τ_friction

          = 0.0325 N·m - 0.00338 N·m

          = 0.0291 N·m

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Determine (by integration) the entropy change of 0.20 mol of potassium when its temperature is lowered from 3.8 K to 1.2 K. a) 48.3 J/K b) -48.3 J/K c) 32.2 J/K d) -32.2 J/K

Answers

The entropy changes of 0.20 mol of potassium when its temperature is lowered from 3.8 K to 1.2 K is given by -48.3 J/K.

Find the entropy change?

The entropy change, ΔS, can be determined using the equation:

ΔS = ∫(Cp/T)dT

where Cp is the molar heat capacity at constant pressure and T is the temperature. To solve the integral, we need to know the temperature dependence of Cp for potassium. Assuming Cp is constant over the given temperature range, we can simplify the equation as follows:

ΔS = Cp∫(1/T)dT

Integrating with respect to T, we have:

ΔS = Cp[ln(T)]₂₃.₈¹.₂ = Cp[ln(1.2) - ln(3.8)]

Since we have 0.20 mol of potassium, we need to multiply the above result by the molar quantity:

ΔS = 0.20 mol × Cp[ln(1.2) - ln(3.8)]

Therefore, the entropy changes of 0.20 mol of potassium as its temperature decreases from 3.8 K to 1.2 K is -48.3 J/K.

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What is concentration gradient?​

Answers

Answer:

The difference in the concentration of a substance between two areas is called the concentration gradient . The bigger the difference, the steeper the concentration gradient and the faster the molecules of a substance will diffuse. The direction of diffusion is said to be 'down' or 'with' the concentration gradient.

Explanation:

Explain some endless capabilities of our vast universe?

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

It is impossible to answer that as we could discover more than we know now in years to come with advanced technologies

Explanation:

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