The smaller the resistance in an LRC circuit, the greater the resonance peak current. True False

Answers

Answer 1

False. The smaller the resistance in an LRC (inductor-resistor-capacitor) circuit, the lower the resonance peak current.

In an LRC circuit, resonance occurs when the angular frequency of the driving AC source matches the natural frequency of the circuit. At resonance, the current in the circuit is maximized. The resonance frequency can be calculated using the formula \(\omega = \frac{1}{\sqrt{LC}}\), where L is the inductance and C is the capacitance in the circuit.

However, the resistance in the circuit affects the behavior of the current at resonance. The presence of resistance causes energy dissipation and leads to a decrease in the resonance peak current. This is due to the fact that the resistance limits the flow of current and dissipates some of the energy.

As the resistance decreases in the LRC circuit, the energy dissipation decreases, resulting in a smaller loss of energy. Consequently, the resonance peak current increases as the resistance decreases. Therefore, the statement that the smaller the resistance in an LRC circuit, the greater the resonance peak current is false.

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Related Questions

I let go of a piece of bread from a balcony. A bird flying 5.0 m overhead sees me drop it, and starts to dive straight down towards the bread the instant that I release it. She catches it after it falls 3.0 m. Assuming she accelerates constantly from rest (v0 = 0) at the time I let go of the bread, what is her acceleration? Show your work

Answers

This question can be solved using the equations of motion. There are two scenarios where the equations of motion can be used. The first scenario is the free-fall motion of the piece of bread. The second scenario is the uniformly accelerated motion of the bird.

The acceleration of the bird is  "a = 26.13 m/s²".

First, we will calculate the time taken by the bread to fall 3 m. Using the second equation of motion for this free-fall motion:

\(h = v_it + \frac{1}{2}gt^2\)

where,

h = height fall = 3 m

vi = initial velocity = 0 m/s

g = acceleration due to gravity = 9.8 m/s²

t = time taken = ?

Therefore,

\(3\ m = (0\ m/s)t+\frac{1}{2}(9.8\ m/s^2)t^2\\t = \sqrt{\frac{(3\ m)(2)}{9.8\ m/s^2}}\\\\t = 0.78\ s\)

The bird took the same time to catch the bread. Now applying the second equation of motion to the bird's motion:

\(s = v_it + \frac{1}{2}at^2\)

where,

s = distance covered by the bird = 5 m + 3 m = 8 m

vi = initial velocity of the bird = 0 m/s

a = acceleration of the bird = ?

t = time taken = 0.78 s

Therefore, using these values we get:

\(8\ m = (0\ m/s)(0.78\ s)+\frac{1}{2}a(0.78\ s)^2\\\\a = \frac{16\ m}{(0.78\ s)^2}\)

a = 26.13 m/s²

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A 2100 lb airplane requires a power of 100 hp at the propeller to climb at an angle of 20° to the horizontal at constant speed. How much altitude could it gain in 10 minutes if air resistance is ignored?

Answers

The gained altitude (h) can be found using the equation: h = vt. The airplane could gain approximately 1,848 feet of altitude in 10 minutes, neglecting air resistance.

To calculate the altitude gained by the airplane, we need to consider the power required for climbing and the time duration. The power required for climbing is given as 100 hp (horsepower) at the propeller. We can convert horsepower to watts by multiplying it by 746 (1 hp = 746 W).

First, we need to find the vertical component of the airplane's velocity. The horizontal component remains constant since the speed is constant. The vertical component can be determined using trigonometry. The vertical velocity (v) can be calculated as v = Vsin(θ), where V is the constant speed of the airplane and θ is the angle of climb.

Next, we calculate the work done (W) by the airplane during the 10 minutes. The work done is equal to the power multiplied by the time: W = P × t. Here, P is the power in watts and t is the time in seconds.

The gained altitude (h) can be found using the equation: h = vt. We substitute the calculated vertical velocity and the time duration of 10 minutes (converted to seconds) into this equation to find the altitude gained.

Converting the given values and performing the calculations, we find that the airplane could gain approximately 1,848 feet of altitude in 10 minutes, neglecting air resistance.

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WHAT IS PHYSICS? OUTLINE THE BRANCHES OF PHYSICS PHYSICS IS AN ESSENTIAL SUBJECT, WHY DO YOU STUDY IT?
i will give brainliest

Answers

Answer:

Explanation:

Physics is the natural science that studies matter, its motion and behaviour through space and time and the related entities of energy and force The braches of physics : classical mechanics thermodynamics and statistical mechanics electromagnetism and photons relativistic mechanics quantum mechanics, atomic physics and molecular physics optics condensed matter physics high-energy particle physics and nuclear physics We must study physics to understand how universe works

Store size, cost savings, and repair costs are all important _______ which may impact Walmart’s decision to switch to LED lighting.

Answers

Store size, cost savings, and repair costs are all important financial impact. which may impact Walmart decision to switch to LED lighting.

Understanding how different components of a system or situation interact in complex and changing ways is known as financial impact. A change in the organization has an impact on other elements of the system. We can see that upgrading to LED lighting has an effect on other parts of the overall system in the Walmart scenario. Yet, the addition of LED illumination has no impact on the expenditures related to buying shop inventory or printing ads for weekly circulars. One factor that is dependent on other factors is a contingency. Managers can decide how to react to a situation by identifying critical contingencies. Walmart executives may decide that installing LED lighting in stores with less than 80,000 square feet is not cost-effective.

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Why do you think there are so many more autotrophs than consumers on Earth?
Helppp

Answers

There are many Autotrophs than consumers because : Autotrophs are the bases of any food chain/web

Function of Autotrophs

Autotrophs capture the energy required for every food chain or web from which sustains other organisms in the food chain form sunlight and chemicals. Also there is always more biomass present in the lower levels of the trophic system as biomass decreases as we move up the food chain.

Since autotrophs are producers, for a healthy food chain there would be more autotrophs than consumers.

Hence we can conclude that There are many Autotrophs than consumers because : Autotrophs are the bases of any food chain/web

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calculate the angle at which a-wideslit produces its first minimum for 410-nmviolet light. (b) where is the first minimum for700-nm red light?

Answers

The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.

Why would someone utilize violet light?

The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.

d

sin

θ

=

n

λ

2

(

sin

θ

)

=

(

1

)

(

410

×

10

9

)

sin

θ

=

410

×

10

9

2

=

2.05

×

10

7

θ

=

sin

1

(

2.05

×

10

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=

1.17

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Thus the angle is

1.17

×

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.

(b.)

Given data

The width of slit is

d

=

2.00

m

.

The number of minimum is

n

=

1.

The wavelength is, \lambda =700 nm

Why does violet light exist?

The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.

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A proton is located at a distance of 0.431 m from a point charge of 8.49 C. The repulsive electric force moves the proton until it is at a distance of 1.61 m from the charge. Suppose that the electric potential energy lost by the system is carried off by a photon that is emitted during the process. What is its wavelength

Answers

By using relationship between electric potential energy, electric force, and distance the wavelength of the photon emitted during the process is 705 nm.

To solve this problem, we need to use the relationship between electric potential energy, electric force, and distance:

ΔPE = q * ΔVΔV = - ∫ E * drF = k * q1 * q2 / \(r^{2}\) where ΔPE is the change in electric potential energy, q is the charge, ΔV is the change in electric potential, E is the electric field, r is the distance between the charges, F is the electric force, k is the Coulomb constant.

We can use the electric force equation to find the initial force between the proton and the point charge:

\(F1 = k * q1 * q2 / r1^{2}F1\)

\(= 9 * 10^{9} * (1.6 * 10^{-19}) *\frac{ (8.49)}{(0.431)^{2}F1 }\)

\(= 3.67 * 10^{-8} N\) Next, we can use the work-energy principle to find the change in electric potential energy:

ΔPE = W = F1 * dΔPE

\(= (3.67 * 10^{-8}) * (1.61 - 0.431)ΔPE\)

\(= 2.84 * 10^{-8} J\) Since the energy is carried off by a photon, we can use the equation: E = hc/λwhere E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon.

We can solve for the wavelength by rearranging the equation : We can find the energy of the photon by using the change in electric potential energy:

λ = hc/E

E = ΔPEλ = hc/ΔPEλ

\(= (6.63 * 10^{-34} J s) *\frac{(3 * 10^{8} m/s)}{(2.84 * 10^{-8} J)λ }\)

\(= 7.05 * 10^{-7} m\) or 705 nm

Therefore, the wavelength of the photon emitted during the process is 705 nm.

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A 68.5 kg cyclist travels a straight climb two kilometers long. The mass of the bicycle is 11.5 kg, the ratio between altitude difference and distance traveled is 0.100. Calculate the work that the force of gravity does on the cyclist + bicycle system. Explain why the cyclist has to do more work than calculated

Answers

The biker must convert all of his kinetic energy into thermal energy in order to come to a full stop. The work is resistive because the braking force resists movement, hence W = -10 214.4

Ours has Ek = 1/2m x v2 

Ek = 1/2mxv2

Ek = 1/2x79.8x162

Ek = 10214.4 J

Is a system's total mechanical energy constant?

As long as the forces being applied are conservative (don't rely on the route), the mechanical energy in a system stays constant, according to the rule of conservation of mechanical energy.

The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy.

The mechanical energy of an item is just the product of its kinetic and potential energy. Depending on the direction and amount of the kinetic and potential energy, it can be either positive or negative.

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what is the physical significance of the nusselt number n u? how does the reynolds number affect it?

Answers

a. Nusselt number (Nu) represents the ratio of convective to conductive heat transfer, indicating the efficiency of convective heat transfer.

b. The Reynolds number (Re) influences the Nusselt number by determining the flow regime, with higher Reynolds numbers corresponding to higher Nusselt numbers and more efficient convective heat transfer.

a. The physical significance of the Nusselt number is that it provides information about the efficiency of convective heat transfer. A higher Nusselt number indicates that convective heat transfer is more dominant compared to conductive heat transfer. It is commonly used to analyze heat transfer in fluid flows, such as in pipes, channels, or heat exchangers.

b. The Reynolds number influences the Nusselt number because it affects the flow regime and flow behavior. In forced convection heat transfer, the Reynolds number determines whether the flow is laminar or turbulent. The transition from laminar to turbulent flow is characterized by a critical Reynolds number.

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calculate the average acceleration of a car that changes speed from 0 m/s to 20 m/s in 5 s.

Answers

Answer:

4

Explanation:

a=vf-v

a=20-0÷5

a=4meter per second square

Which statement represents how light travels? Light given off from a moving source will travel faster in a vacuum. Light given off from a moving source will travel faster in air. Light travels slower if the light source is moving. Light travels at the same speed even if the light source is moving.

Answers

Answer:

the first one

Explanation:

Answer:

Light travels at the same speed even if the light source is moving.

Explanation:

I took the test, hope this helps :)

HURRY PLEASE?!?!????
What factors affect the speed of a wave? Check all that apply.

the amplitude of the wave
the energy of the wave
the temperature of the medium
the type of wave
the type of medium

Answers

Explanation:

wave is a disturbance that carries energy from one particle to another particle. The speed depends on:

1. The type of medium

2. The temperature of the medium

3. The energy of the wave

4. The amplitude of the wave

Answer:

i think the last 3

Explanation:

Given 1 inch ≡ 2.54 cm and 1 foot ≡
12 inches, how many square centimeters are
in 3.22 ft2
?

Answers

Answer:

2991.47 [cm^2]

Explanation:

To solve this problem we must perform a dimensional analysis and use the corresponding conversion values:

\(3.22[ft^{2}]*\frac{12^{2}in^{2} }{1^{2}ft^{2}} *\frac{2.54^{2}cm^{2} }{1^{2}in^{2} } \\2991.47[cm^{2}]\)

Which electromagnetic waves have the shortest wavelength and the highest frequency?

waves

Answers

Answer: Gamma rays (violet) have the shortest wavelengths and the highest frequencies.

Explanation: The wavelength of the gamma rays is less than 0.01 nanometers. The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength.

The electromagnetic waves have the shortest wavelength and the highest frequency is Gamma rays (violet).

What are gamma rays?

Gamma radiation, from gamma rays (γ), is a type of electromagnetic radiation usually produced by radioactive elements. Gamma rays, due to their high energy, are able to penetrate matter more deeply than alpha or beta radiation.

Gamma ray is a type of high frequency electromagnetic radiation usually produced by radioactive elements.

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Which example possesses mechanical potential energy?

Answers

Answer:

you didnt show a picture i need to see the problem sorry

Answer:

The Correct answer is A a taut guitar string.

How did Einstein’s and Newton’s theories differ in terms of explaining the cause of gravity?


Answers

Newton”s theory says this can occur because of gravity, a force attracting those objects to one another or to a single, third object. Einstein also says this occurs due to gravity- but in his theory, gravity is not a force. It is a curve in space-time.

Newton's law of universal gravitation doesn't say anything about the cause of gravity.

Einstein's theory of relativity does.

What does it mean if displacement is negative?

Answers

Displacement is negative when an object moves in the negative direction. The initial position will be further in the positive direction than the final position.

Displacement is a term used in physics to describe the change in position of an object with respect to its initial position. In other words, it is the distance and direction between an object's starting point and its end point.  To calculate displacement, you need to know the object's starting point and end point. The displacement can be positive or negative, depending on the direction of the movement.

Displacement is a vector quantity, which means that it has both magnitude (the distance between the two points) and direction (the direction from the starting point to the end point). It is often represented by an arrow, with the length of the arrow representing the magnitude of the displacement, and the direction of the arrow representing the direction of the displacement.

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HELP with this question.....plzzz​

HELP with this question.....plzzz

Answers

The force on the cork is the weight of all the water that's directly over it. That's the water in a tall, skinny cylinder that's 2.0m long and has a base area of 2 cm^2.

Find the volume of that cylinder, use the density to find the mass of the water in that volume, then m•g to find the weight of that mass.

please help me!!!!!!

please help me!!!!!!

Answers

Answer:

3.a. 6m away

b. 3m away

Explanation:

a)

Effort = 10000N

Load=5000 N

effort distance=3 m

load distance=?

We can use the following equation to calculate the distance of the load from the fulcrum:

\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)

Plugging in the known values, we get:

\(\bold{\tt{5000 N * Load Distance = 10000 N * 3 m}}\)

dividing both side by 5000 N

\(\bold{\tt{Load\: Distance =\frac{ 10000 N * 3 m }{5000 N}}}\)

Load Distance = 6 m

Therefore, the load must be 6 meters away from the fulcrum in order for the crane to be balanced.

b)

If the load is increased to 10,000N, the effort and effort distance do not change.

Effort = 10000N

Load=10,000 N

effort distance=3 m

load distance=?

This is because the moment of the load will increase, and the moment of the effort will remain the same.

The moment of the load is calculated as follows:

\(\boxed{\bold{\tt{Load * Load \:Distance = Effort * Effort \:Distance}}}\)

Plugging value

\(\bold{\tt{10,000 N * Load Distance = 10,000 N * 3 m}}\)

dividing both side by 10,000 N

\(\bold{\tt{Load\: Distance =\frac{ 10,000 N * 3 m }{10,000 N}}}\)

New Load Distance = 3 m

Therefore, if the load is increased to 10,000N, it should be placed 3 meters away from the pivot point to balance the crane.

What is the law of conservation of mass easy definition?

Answers

Answer:

The law of conservation of mass states that in a chemical reaction mass is neither created nor destroyed. For example, the carbon atom in coal becomes carbon dioxide when it is burned. The carbon atom changes from a solid structure to a gas but its mass does not change.

Explanation:

What is the gravitational attraction between two objects of
mass 5,000,000kg (5.0 x 106 kg) at a distance of 100 meters
from each other? Estimate G as 6.67 x 10-11 N (m/kg)

Answers

The gravitational attraction between the two objects of mass 5000000 kg each at a distance of 100 m is 0.167 N.

What is gravitational attraction?

This is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface

To calculate the gravitational attraction between the two objects, we use the formula below.

Formula:

F = GmM/R².................... Equation 1

Where:

F = Gravitational attraction G = Gravitational constant = 6.67 x 10⁻¹¹ N (m/kg)m = M = First mass = 5,000,000kgR = 100 m

Substitute these values into equation 1

F = 6.67 x 10⁻¹¹ (5000000)(500000)/100²F = 0.167 N.

Hence, the gravitational attraction is 0.167 N.

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How where electrons discovered

Answers

Although many scientists contributed to the discovery of electrons, J.J. Thomson made important investigations in the late 19th century.

Cathode ray tubes, sealed glass tubes with a partial vacuum, were used by Thomson in his tests. He observed that when a high voltage was applied to the cathode (negative electrode) inside the tube, a stream of negatively charged particles was released and moved towards the positively charged anode (positive electrode).

These subatomic particles, which Thomson referred to as "corpuscles", are today more commonly referred to as electrons. Through his investigations, Thomson came to the conclusion that these particles were the basic type of negative charge found in atoms. Additionally, he found that the mass of electrons was very small compared to other known particles at the time.

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When measuring from the left side of the beam Xa,Xb ,Xc ,Xd ,Xe ,and Xf are the locations where the resultant force is applied in each of the six cases. Rank these six locations. Rank the items from smallest to largest. To rank items as equivalent, overlap them. For this problem, I just made the assumption the L was equal to 1 so I could work with real numbers. Xa and Xb I found to be the same locations as in 1/2 because they are rectangles. The centroid of a triangle is 1/3L from its peak, so Xc I said it was 1/3. Xd = 2/3 since the peak is on the right hand side this time

Answers

When measuring from the left side, the locations where the resultant force is applied are Xa, Xb, Xc, Xd, Xe, and Xf.

To rank these six locations, we can use the following order: Xe < Xa = Xb < Xc < Xf < Xd.

The items can be ranked from smallest to largest as follows:Xe < Xa = Xb < Xc < Xf < Xd

To rank items as equivalent, we overlap them. For this problem, it was assumed that L was equal to 1 so that real numbers could be used. Xa and Xb were found to be the same locations as in 1/2 because they are rectangles. The centroid of a triangle is 1/3L from its peak, so Xc was said to be 1/3. Since the peak is on the right-hand side this time, Xd was determined to be 2/3.

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A conducting bar moves along frictionless conducting rails connected to a 4.00-? resistor as shown in the figure. The length of the bar is 1.60 m and a uniform magnetic field of 2.20 T is applied perpendicular to the paper pointing outward, as shown. (a) What is the applied force required to move the bar to the right with a constant speed of 6.00 m/s? (b) At what rate is energy dissipated in the 4.00 ? resistor?A conducting bar moves along frictionless conducting rails connected to a 4.00-? resistor as shown in the figure. The length of the bar is 1.60 m and a uniform magnetic field of 2.20 T is applied perpendicular to the paper pointing outward, as shown. (a) What is the applied force required to move the bar to the right with a constant speed of 6.00 m/s? (b) At what rate is energy dissipated in the 4.00 ? resistor?

Answers

A). To move the bar to the right with a constant speed of 6.00 m/s, we need to find the force required. The force required is the force of the magnetic field that acts on the bar. The power dissipated in the resistor is 6.98 W.

This force is given by the formula: F = BILsinθwhere,F is the force B is the magnetic field I is the current L is the length of the conductorθ is the angle between the magnetic field and the current direction Now, the current in the bar is given by: I = V/R where, V is the voltage applied across the resistor R is the resistance of the resistor Given, V = BLV/Rsinθwhere,L = 1.6 m B = 2.20 T, and R = 4.00 ?θ = 90° = π/2 radians So, V = 2.20 × 1.6 × 6.00/4.00  = 5.28 V The current in the circuit is, I = V/R = 5.28/4.00 = 1.32 A  

Therefore, the force required is: F = BILsinθ = 2.20 × 1.6 × 1.32 × 1 = 4.3872 N(b) The power dissipated in the resistor is given by: P = VI where, V is the voltage applied across the resistor I is the current in the circuit From the above calculations, V = 5.28 VI = 1.32 AP = VI = 5.28 × 1.32 = 6.98 W

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Energy that Is transferred from a warmer object to a cooler object is called what?

Answers

Answer:

The movement of heat from a warmer object to a cooler one is called heat transfer.

what was known as the only official national sport of canada from 1859 to 1994?

Answers

From 1859 to 1994, lacrosse was known as the only official national sport of Canada.

Lacrosse, a game with Indigenous origins, was declared the official national sport of Canada in 1859. It held this distinction until 1994. The sport has a rich history in Canada, with Indigenous communities playing it for centuries before European settlers arrived. Lacrosse symbolized a connection to Indigenous culture and traditions.

However, in 1994, the Canadian government recognized ice hockey as the official winter sport and lacrosse as the official summer sport. This change reflected the growing popularity and cultural significance of ice hockey in Canada while still acknowledging the historical importance of lacrosse.

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Definition: The energy transferred by a force to a moving object.

Answers

Answer:

Force applied

Explanation:

An object will remain at its state of rest unless a non zero for act on it

Write down the role played by four digestive juices in digestion and the
organs which secrete them.

Answers

Answer:

Explanation:Digestive juices secreted by various organs such as salivary glands in the mouth, stomach, liver and pancreas help in the process of digestion of food. Saliva secreted by the salivary glands in the mouth aids in the breakdown of starch present in the food to simple sugar

A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A. What gear ratio G is required to drive this load at its maximum operating speed? Hint: The load torque intercepts the motor torque in two places, only one will be positive, dwop you will again need to solve = 0. dG

Answers

A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A.

What gear ratio G is required to drive this load at its maximum operating speed?

The load torque intercepts the motor torque in two places, only one will be positive, drop you will again need to solve = 0. d the given details are Ea = 400VRa = 20K+ = 1 Nm/A

To find; Gear ratio G required to drive this load at its maximum operating speed.

Formula used: θ=K+ * Ia The motor torque, Tm = K+ * Ia The load torque, TL = J * dw / G The armature current, Ia = (Ea - V) / Ra By equating the motor torque and load torque, we have; K+ * Ia = TL The load torque is positive, so we have;TL = J * dw / G Since the load is operating at maximum speed, d w = 0So, TL = 0 = J * 0 / G

Thus, G is not found in the equation.

So, we can conclude that G does not affect the maximum speed of the motor. The maximum speed is determined by the back EMF, Ea, and the motor constants, K+ and Ra.

So, the gear ratio G is irrelevant in determining the maximum speed of the motor.

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Mary weighs 505 N. She walks down a 5. 50-m-high flight of stairs. What is the change in the potential energy of the Mary-Earth system? kJ

Answers

The change in potential energy of the Mary-Earth system is approximately 2.78601 kilojoules.

The change in potential energy can be calculated using the formula:

ΔPE = m * g * h

where:

ΔPE = change in potential energy

m = mass of the object (Mary's weight divided by acceleration due to gravity, g)

g = acceleration due to gravity (approximately 9.8 m/s²)

h = height of the flight of stairs

First, let's calculate the mass of Mary:

m = weight / g

Given that Mary weighs 505 N:

m = 505 N / 9.8 m/s²

m ≈ 51.53 kg

Next, we can calculate the change in potential energy:

ΔPE = (51.53 kg) * (9.8 m/s²) * (5.50 m)

ΔPE ≈ 2,786.01 J (joules)

To convert joules to kilojoules, we divide by 1000:

ΔPE ≈ 2.786 kJ

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A tank contains 50 kg of salt and 1000 L of water. A solution of a concentration 0.025 kg of salt per liter enters a tank at the rate 5 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank at time t minutes. dy (kg/min) y(0) 50 (kg) dt (c) Solve the initial value problem in part (b). y(t) = (d) Find the amount of salt in the tank after 3.5 hours. amount = (kg) (e) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L) A tank contains 2280 L of pure water. Solution that contains 0.09 kg of sugar per liter enters the tank at the rate 3 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the begining? y(0) (kg) (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large, what value is y(t) approaching? In other words, calculate the following limit. lim y(t) = (kg) t-00 9/5,-5/2,-11/10,-4/5 least to greatest White light separates into all the colors of the visible spectrum when it is passed through a? Which immigrant group contributed most to western railroad construction during the 19th century?. What would happen to Washington D.C. (the nations capital) if the Border States left the Union? explain that depression is a dynamic disorder that doesnt have justone solution I need help with a alexs math problem Thomas Hart Benton was influential in Regionalism, a style of art that focused mostly on what?Portraits of famous peopleKinetic sculptureScenes of rural America A manager of an inventory system believes that inventory models are important decision-making aids. The manager has experience with the EOQ policy, but has never considered a backorder model because of the assumption that backorders were "bad" and should be avoided. However, with upper managements continued pressure for cost reduction, you have been asked to analyze the economics of a backorder policy for some products that can possibly be backordered. For a specific product with D=800units per year,Co=$150 ,Ch=$3 , andCb=$20A) what is the difference in total annual cost between the EOQ model and the planned shortage or backorder model?B) If the manager adds constraints that no more than 25% of the units can be backordered and that no customer will have to wait more than 15 days for an order, should the backorder inventory policy be adopted? Assume 250 working days per year. is the government doing enough to ensure that human rights are protected?explain your viewpoints y=x-1+2/x-1tm ng bin nghch bin trn hm s If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the information given c. 0.36 d. 1.2 the event that flipped the balance of power in europe in germany's favor: group of answer choices the occupation of austria the annexation of the czech sudetenland the militarization of the rhine the invasion of norway A 0.056 kg sample of an unknown substance is heated to 89.6 C in a hot water tube. It is then quickly removed and placed into an insulated jar holding 188 ml of water initially at 132.8 F. The final equilibrium temperature of the system is 67 C. What is the specific heat of this unknown substance? What is the range?7 7.8 3.2 5.2 3.2 5.24.5 5.6 2.6 6 6 4.57 5.6 4.2 8 9.4 6.54.9 Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.(-2, 2)(5, 3)(-3, -1)(3, 4) Which resistors in the circuit must have the same amount of charge passing through each second? HURRY PLEASE ID K IF IT D) OR A) Which nation settled in the Northeastern part of the United States?a.the Englishc.the Frenchb.the Dutchd.all of the above In what way did the American system of manufacturing change the traditional patterns of U.S. foreign trade? PLEASE HELP I WILL GIVE BRAINLIEST