a. Describe each signal in the time domain. What is the shape of
the signal? Is it a periodic signal? If it is periodic, what is its
period and peak-to-peak amplitude?
b. Describe each signal in the f

Answers

Answer 1

a) Given Signals are:

Signal 1: x1(t) = 5 cos (40πt + π/3)
Shape of the signal: Cosine wave
Periodic signal: Yes, since it repeats itself over time.
Period: T = 1

/f where f = frequency = 20 Hz
T = 1/20

= 0.05 sec.
Peak to Peak Amplitude = 2 * Amplitude

= 2 * 5

= 10 V.

Signal 2: x2(t) = 4 sin (160πt + π/4)
Shape of the signal: Sine wave
Periodic signal: Yes, since it repeats itself over time.
Period: T = 1

/f where f = frequency = 80 Hz
T = 1/80

= 0.0125 sec.
Peak to Peak Amplitude = 2 * Amplitude

= 2 * 4

= 8 V.

Signal 3: x3(t) = 6 cos (100πt - π/6)
Shape of the signal: Cosine wave
Periodic signal: Yes, since it repeats itself over time.
Period: T = 1

/f where f = frequency = 50 Hz
T = 1/50

= 0.02 sec.
Peak to Peak Amplitude = 2 * Amplitude

= 2 * 6

= 12 V.

b) Describing signals in the frequency domain requires the use of Fourier Transform. It converts a signal from the time domain to the frequency domain. The signals can be expressed as a summation of harmonic functions (sines and cosines) using Fourier Transform. It gives information about the frequencies that make up a given signal.

The Fourier Transform of each signal is given below:

Signal 1: X1(f) = j5π [δ (f - 20) + δ (f + 20)]
Signal 2: X2(f) = j2π [δ (f - 80) - δ (f + 80)]
Signal 3: X3(f) = j3π [δ (f - 50) + δ (f + 50)]

Where δ(f) is a Dirac delta function which is infinite at 0 and 0 elsewhere.

The signals in the frequency domain can be plotted using a spectrum analyzer, which shows the amplitude of each frequency component of the signal.

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Related Questions

becoming a member of the national association of social workers offers an excellent opportunity to network with social workers practicing in mental health. True or false?1

Answers

It is true that becoming a member of the National Association of Social Workers (NASW) offers an excellent opportunity to network with social workers practicing in various fields, including mental health.

The NASW is a professional organization that advocates for the social work profession and provides resources and support for social workers across the United States. As a member of NASW, social workers have access to networking events, professional development opportunities, and a community of like-minded professionals.

This can be especially valuable for social workers practicing in mental health, as they can connect with colleagues, share best practices, and stay up to date on the latest research and trends in the field.

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A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?

Answers

The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

The cooling law is given by:

$$\frac{dQ}{dt}=-k(T-T_0)$$

where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.

We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.

Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.

Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:

dQ = - dQ where dQ is the heat energy gained by the environment.

We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.

We can rearrange the equation as follows:

$$-\frac{dQ}{dt}=k(T-T_0)$$

$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$

$$\frac{d}{dt}T=-k(T-T_0)$$

The differential equation above can be solved using separation of variables as follows:

$$\frac{d}{dt}\ln(T-T_0)=-k$$

$$\ln(T-T_0)=-kt+c_1$$

$$T-T_0=e^{-kt+c_1}$$

$$T=T_0+Ce^{-kt}$$

where C = e^(c1).

We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.

$$T=T_0+Ce^{-kt}$$

$$73=18+C\cdot e^{-0.09t}$$

$$55=C\cdot e^{-0.09t}$$

$$C=55e^{0.09t}$$

$$T=18+55e^{0.09t}$$

We can now solve for the value of t when T=93 as follows:

$$93=18+55e^{0.09t}$$

$$e^{0.09t}=\frac{93-18}{55}$$

$$e^{0.09t}=1.3636$$

$$t=\frac{\ln(1.3636)}{0.09}$$

Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.

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A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be

Answers

Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.

Explanation:

Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.

After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J

This is the kinetic energy of the body after 3 seconds of falling.

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A 25 kg child goes down a straight slide inclined 38∘ above horizontal. The child is acted on by his weight, the normal force from the slide, and kinetic friction.

How large is the normal force of the slide on the child?

Answers

The expression for the normal force is

N = mg cos(0)

Substitute 25kg for \(9.8m/s^{2}\)\(m_{c}\) , for, g, and 38° for ∅.

N = (25kg)(9.8m/s²)cos(38°)

= 193.06N

The normal force is the reaction force from the surface of an object. The more you push the surface, the greater the normal force. The frictional force is canceled by the child's weight, so the normal force is the child's weight.

Gravity pulls items down the slide, but another element of physics comes into play friction or resistance. Frictional forces arise from two objects rubbing against each other such as a pine cone and a slide. Friction works against gravity and slows things down the slide. The child speeds up and down the slide. The forces acting on an object as it descends the slides are gravity and friction.

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The normal force acting on the child is 174.56 N

A force is an influence that can change the motion or direction of an object or body. A force can cause an object/ body with mass to change its velocity, i.e., to accelerate.

We have,

The mass of the child, m = 25 kg

Slide's inclination, θ = 38°

The 30 N force at 38 degrees and the child's weight are the forces acting on the child.

The child weighs the following along the vertical component:

Weight = mg × cos(θ)

Weight = 25 × 9.8 × cos(38)

Weight = 193.06

Now, the horizontal component of the 30 N force will be:

F' = 30 × sin(38)

F' = 18.50 N

Therefore, the normal force of the slide acting on the child will be:

F = weight - F'

F = 193.06 - 18.50

F = 174.56 N

So, the normal force acting on the child is 1746.56 N.

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Someone please help me...

Someone please help me...

Answers

It’s C.

The lower/weaker the gravity, the lighter the object.
c is correct bc planet A’s atmosphere is weaker

an aluminum wire having a cross-sectional area equal to 2.60 10-6 m2 carries a current of 3.00 a. the density of aluminum is 2.70 g/cm3. assume each aluminum atom supplies one conduction electron per atom. find the drift speed of the electrons in the wire.

Answers


The drift speed of the electrons can be found using the equation:

Vd = (I/nAe)1/2

Where, Vd is the drift speed of the electrons, I is the current, n is the number of free electrons, A is the cross-sectional area, and e is the charge of an electron.

To solve for the drift speed, we need to first calculate n, which is the number of free electrons. To do this, we use the density of aluminum and its atomic mass, which is 27. We can use the following equation:

n = (ρA/MA)1/3 × NA

Where, ρA is the density of aluminum, MA is the atomic mass of aluminum, and NA is Avogadro’s number.

Plugging in the given values, we get:

n = (2.7 g/cm3 × 2.6 × 10-6 m2)1/3 × 6.02 × 1023 = 2.47 × 1021

Now we can plug in all the values into the drift speed equation:

Vd = (3 A / 2.47 × 1021 e-1)1/2 = 1.03 × 106 m/s

Therefore, the drift speed of the electrons in the wire is 1.03 × 106 m/s.

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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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how to make a brainliest questions Or how to Get them?

Answers

Answer:

Select the crown at the bottom of an answer where the speech bubble icon is.

If a current of 23A flows through a circuit and the battery produces a potential difference of 9V, calculate the resistance.

Answers

The resistance of the battery if a current of 23A flows through a circuit and the battery produces a potential difference of 9V is 0.39 ohms.

How to calculate resistance?

Resistance is the force that tends to oppose motion. It is measured in ohms. The resistance of a battery can be calculated using the following formula;

V = IR

Where;

V = voltage (volts)R = resistanceI = current

According to this question, a current of 23A flows through a circuit and the battery produces a potential difference of 9V. The resistance can be calculated as follows:

R = V/I

R = 9/23

R = 0.39ohms

Therefore, 0.39ohms is the resistance of the battery.

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I need help please I will give points

I need help please I will give points

Answers

Answer:

-5 N of force

Explanation:

Hope it helps!

Who can help me do some 8th grade Science if so i will mark you the brainliest and also no links

Answers

Answer:

yes I help what is the question

which process depends partly on the presence of short-lived radioactive elements whose rapid decay would have released enough heat to melt the interior of planets allowing the more dense materials to migrate to the center

Answers

This process depends on the presence of short-lived radioactive elements whose rapid decay released enough heat to melt the interior of planets.

What do you mean by elements?

An element is a substance whose atoms all have the same number of protons: another way of saying this is that all atoms of a given element have the same number of protons. Elements are the simplest chemical forms and thus can not be broken down through chemical reactions.

WHAT IS elements and its types?

The elements are classified as metal, non-metal, and metalloid. The extreme left side elements in the periodic table are metals, for example, sodium, calcium, caesium, etc. However, elements on the right side are generally referred to as non-metals, carbon, chlorine, oxygen, etc.

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nitrogen is contained in a 5-m3 rigid vessel at a pressure of 2200 kpa. (a) determine the mass if the temperature is 25oc. (b) determine the mass if the temperature is 250oc. (c) what would be the height of a column of mercury (in mm) in a manometer for this pressure? the density for mercury is 13600 kg/m3.

Answers

Barometric column, barometer column, etc. mercury barometer: a device that uses a mercury column to measure the height of the column (in inches of mercury) to determine atmospheric pressure.

How tall a column does a mercury have vertically?As a result, less than 76 cm of mercury can be held vertically in space by a basic barometer at sea level.Indicators of atmospheric pressure include the mercury column's height. The mercury column rises to a height of roughly 30 inches (76 centimeters) at sea level at a temperature of 0 degrees Celsius (C). This is equivalent to about 14.7 psia of pressure.Ytop minus YBot in HcolumnBarometric column, barometer column, etc. mercury barometer: a device that uses a mercury column to measure the height of the column (in inches of mercury) to determine atmospheric pressure.    

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The coefficient of static friction between a block and the floor is 0.60 and the coefficient of kinetic friction
If a 20-kg block is pushed across the floor by a horizontal force with a constant speed. What is the force applied t
A)
50 N
B)
100 N
C)
120 N
D)
200 N

Answers

Answer: B) 100N

Explanation:usatestprep

A wave that consists of a combination of electrical and magnetic energy is a(n):
a. magnoelectric wave
c. magnetolectric wave
b. electromagnetic wave
d. electrical-magnetic wave

Answers

The answer to you’re question is b. Electromagnetic wave. Electromagnetic waves are made up of an electromagnetic field and a magnetic field.
This wave is produced as a result of the vibration of the electric and magnetic fields.

what are the 4 types of graphs and when do we use each type?

Answers

Scatter plot, Bar graph, Line graph, Pie chart.

Bar graphs to show numbers that are independent of each other. For example, if you wanted to record data of all of your classmates heights, you would use a bar graph.

Line graphs show you how numbers have changed over time. For example, if you wanted to record your data of how much you’ve grown over the years, you would use a line graph.

Pie charts are best to use when you are trying to compare parts of a whole. They do not show changes over time. It usually shows percentages. For example if you wanted to record what food you commonly want, it would be like: “60% pizza, 25% chinese, 15% sushi” Remember that a whole pie graph is 100%

Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker whose position depends on its values in the columns set on the X and Y axes.

Helppp pleaseee!!!You are playing marbles. Your 0.10 kg shooter traveling at 1 m/s hits a stationary 0.05 kg marble straight on. If it is an elastic collision, and the shooter comes to a stop, what is the velocity of the second marble?

Answers

Answer: Velocity of second marbel is 2m/s.

Have a look towads questions in this question we have the the velocity of firts marble that is moving straight and it  collides elastic collision we need to find the velocty of second marbel.

In this question we apply momentum conservation.

What is elastic collision?

-- An elastic collision is an (collision) between two bodies in which the total kinetic energy of the two bodies remains the same.

What is momentum conservation?

--The conservation of momentum states that, the amount of momentum remains constant;

--Momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion.

So we apply M1v1 = M2V2

M1= 0.1kg

V1= 1m/s

M2= 0.05kg

0.1 × 1 = 0.05 × V2

= from above calculation we have V2 = 2m/s

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b) Two cables \( D E \) and \( D H \) are used to support the uniform bent rod \( A B C D \) as shown in Figure Q1. All dimensions are in meters. i) Express the position of point \( D \) relative to t

Answers

The position of point D relative to the midpoint of cable DE can be found using the method of moments by expressing the sum of the moments about the midpoint of cable DE.

The forces acting at point D can be resolved into horizontal and vertical components. As the bent rod is in equilibrium, the sum of the horizontal components of the forces is zero. Also, as there is no horizontal component of force acting at point D, the horizontal component of the tension in cable DE is equal and opposite to the horizontal component of the tension in cable DH.

Therefore, the horizontal component of the tension in cable DE is 8cos30 and the horizontal component of the tension in cable DH is -8cos30. The vertical component of the tension in cable DE is equal to the weight of the bent rod and is given by 5g. Also, as there is no vertical component of force acting at point D, the vertical component of the tension in cable DH is equal to the vertical component of the tension in cable DE.

Therefore, the vertical component of the tension in cable DH is 5g/2. T

herefore, the sum of the moments about the midpoint of cable DE is given by

8cos30 x 4 - 5g/2 x 2 + 5g x (2 + x) - 8cos30 x (4 + x) = 0 where x is the distance of point D from the midpoint of cable DE. Solving this equation, we get x = -3.05 m.

Therefore, the position of point D relative to the midpoint of cable DE is 3.05 m to the left of the midpoint of cable DE.

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PART OF WRITTEN EXAMINATION:
are naturally-occurring dynamic stray currents that
are caused by disturbances in the earth's magnetic field by sun spot activity.
A) telluric currents
B) dynmaic stray currents
C) steady state stray currents

Answers

The answer to your question is A) telluric currents. Telluric currents are naturally-occurring electric currents that flow within the Earth's crust and upper mantle.

These currents are caused by the interaction between the Earth's magnetic field and the ionosphere, which is the layer of the Earth's atmosphere that is ionized by the sun's radiation. Sun spot activity can cause disturbances in the Earth's magnetic field, which can in turn affect the strength and direction of telluric currents.It is important to note that while telluric currents are caused by the interaction between the Earth's magnetic field and the sun's radiation, they are not the same thing as magnetic fields or magnetic currents. Magnetic fields are a fundamental force in nature that are generated by the motion of charged particles, while magnetic currents refer to the flow of electric charge within a magnetic field.Overall, the study of telluric currents is an important field of research that has many practical applications, such as in the exploration for mineral resources and the detection of underground structures. By understanding the complex interplay between the Earth's magnetic field and the sun's radiation, scientists can gain valuable insights into the inner workings of our planet and the forces that shape it.

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An object that is a good radiator of electromagnetic waves is also a good...
1) insulator from heat
2) reflector of heat
3) absorber of electromagnetic energy
4) refractor of electromagnetic energy

Answers

An object that is a good radiator of electromagnetic waves is also a good absorber of electromagnetic energy.

Electromagnetic waves are a type of radiation that travels through space in the form of a transverse wave.

These waves are made up of two primary components: electric fields and magnetic fields.

They're also known as light waves.

An electromagnetic wave's properties are determined by its frequency and wavelength.

Electromagnetic waves with longer wavelengths have lower frequencies, whereas those with shorter wavelengths have higher frequencies.

An object that is a good radiator of electromagnetic waves is also a good absorber of electromagnetic energy.

The amount of energy an object absorbs or radiates is determined by a number of factors, including its temperature, surface area, and composition.

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A 10 nC charge sits at a point in space where the magnitude of the electric field is 1900 N/C. What will the magnitude of the field be if the 10 nC charge is replaced by a 20 nC charge? Assume the system is big enough to consider the charges as small test charges. E= ____ N/C?

Answers

Assume the system is big enough to consider the charges as small test charges. E= 3.8 × 10^4 N/C

The magnitude of the electric field at a point in space due to a point charge is given by the Coulomb's law as:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge, and r is the distance from the point charge.

In this case, the electric field magnitude at the point due to the 10 nC charge is given as 1900 N/C. So we can solve for k using the given values:

k = E * r^2 / Q

k = 1900 N/C * (1 m)^2 / (10 nC)

k = 1.9 × 10^11 N·m^2/C^2

Now, we can use this value of k to find the magnitude of the electric field when the charge is replaced by 20 nC:

E' = k * Q' / r^2

E' = (1.9 × 10^11 N·m^2/C^2) * (20 nC) / (1 m)^2

E' = 3.8 × 10^4 N/C

Therefore, the magnitude of the electric field when the 10 nC charge is replaced by a 20 nC charge would be 3.8 × 10^4 N/C.

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Which action has more power

Answers

What action over what
Which action is it? There is no picture

A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. How long does it take the ball to reach the maximum height?

Answers

Answer:

3 seconds

Explanation:

Applying,

Applying,

v = u±gt................ Equation 1

Where v = final velocity, u = initial velocity, t = time, g = acceleration due to gravity.

From the question,

Given: v = 0 m/s ( at the maximum height), u = 30 m/s

Constant: g = -10 m/s

Substitute these values into equation 1

0 = 30-10t

10t = 30

t = 30/10

t = 3 seconds

when the cart reached the edge of the track and stopped (before it started going back to the hand), what was the acceleration?

Answers

The speed increases but acceleration decreases.

In mechanics, acceleration is the price of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an item's acceleration is given by means of the orientation of the net force performing on that object.

Acceleration is, rate at which pace modifications with time, in phrases of each speed and direction. A point or an item transferring in a direct line is increased if it hurries up or slows down. motion on a circle is multiplied even supposing the speed is regular, due to the fact the path is constantly changing.

Acceleration. pace is the fee of alternate of displacement. Acceleration is the charge of change of pace. speed is a vector quantity as it includes both value and course. Acceleration is also a vector amount as it's far simply the rate of trade of velocity.

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an ambulance is traveling north at 55.1 m/s, approaching a car that is also traveling north at 32.1 m/s. the ambulance driver hears his siren at a frequency of 580 hz.

Answers

The required apparent frequency is F₀ = 1389.47 Hz

What is Doppler's Effect ?

When a wave source and its observer move in close proximity to one another, the phenomenon known as the Doppler Effect occurs. Doppler, Christian Johann's discovery, is the process by which starlight increases or decreases depending on the relative motion of the star.

The Doppler effect occurs because each wave's crest emerges from a location that is closer to the observer than the crest of the previous wave when the wave source is moving in the direction of the observer.

According to the Doppler's Effect of sound waves :

F₀ = \(\frac{FV}{V-V_{0} }\)

where : F₀ = the apparent frequency

V = is the sound of a sound wave

F = is the actual frequency of sound

V₀ = is the source velocity

Substituting the values in the formula :

F₀ = \(\frac{580 X 55.1}{55.1 - 32.1}\)

F₀ = \(\frac{31,958}{23}\)

F₀ = 1389.47 Hz

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a body is thrown at an angle 30°to the horizontal with kinetic energy 40J.atbthe highest point of its motion the kinetic energy will be?​

Answers

At it’s peak the vertical component will be 0. The horizontal component will remain: 40 * cos30 = 20 J

planet dreidel has a radius that is twice as large as the radius of earth and dreidel has three times the mass that earth has. harry weights 1200 n on earth, and is taken to the surface of planet dreidel, how much would harry weigh on the new planet?

Answers

Harry's weight is 1200 N on earth, then Harry's weight on the planet Dreidel is 355 N.

The force of gravity or the weight of an object on a planet is affected by the gravitational acceleration on that planet.

R\(__e\) = R

R\(__p\) = 2R

ρ\(__p\) = 1/3 ρ\(__e\)

w\(__e\)  = 1200 N

Determine the ratio of the mass of the earth to the mass of the planet through the relationship:

ρ = m/V → m = ρV

So:

\(\frac{me}{mp} = \frac{ p_e V_e}{p_pV_p}\)    (1)

Where is the volume of the planet. If both the earth and the planet are considered a ball, then it has the shape:

V = 4/3πR³

So, if we substitute the form above into the equation, we will get:

\(\frac{me}{mp} = \frac{p_eR_e^3}{p_pR_p^3} \\\\\frac{me}{mp} = \frac{p_eR_e^3}{1/3p_p(2R)^3}\\\\\frac{me}{mp} = \frac{3}{8}\) (2)

The weight of an object is expressed as:

\(w =G\frac{mM}{r^2}\)

If we take the comparison of the object's weight when it is on the earth's surface from the planet's surface it meets the:

\(\frac{w_e}{w_p} = \frac{me}{mp} (\frac{R_p +R}{R_e} )^2\\\\\frac{1200}{w_p} = \frac{3}{8} (\frac{2R +R}{R} )^2\\\\\frac{1200}{w_p} = \frac{3}{8} (\frac{9}{1} )^2\\\\w_p= \frac{1200 (8)}{3 (9)} \\\\w_p= \frac{9600}{27} = 355 N\)

Hence Harry's weight on the new planet is 355 N.

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A rat is placed in an environment where the floor gives the rat small electric shocks. The only way to get rid of the shocks is to press a lever in the corner of the box. The rat quickly learns to press the lever. This is an example of

Answers

Pressing a lever in the box's corner is the sole method to get rid of the shocks. The rat picks up pressing the lever quite quickly. This is an illustration of negative reinforcement.

What is negative reinforcement?

The technique of negative reinforcement can be applied to aid in teaching particular actions.

When something unpleasant or uncomfortable is taken away in response to a stimulus, this is known as negative reinforcement.

Target behavior should gradually grow better with the hope that the unpleasant item will go away.

A rat is placed in an environment where the floor gives the rat small electric shocks. The only way to get rid of the shocks is to press a lever in the corner of the box.

The rat quickly learns to press the lever. This is an example of  negative reinforcement

Hence the given condition is an example of negative reinforcement.

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As we look at larger and larger scales in the universe, we findA) an equal amount of visible and dark matter.B) smaller and smaller masses.C) a larger and larger percentage of the matter is dark.D) a larger and larger percentage of the matter is visible.E) almost exclusively visible matter.

Answers

As we look at larger and larger scales in the universe, we find C) a larger and larger percentage of the matter is dark. This is because dark matter makes up approximately 85% of the total matter in the universe, while visible matter only accounts for about 15%.

This is because dark matter does not interact with light, making it difficult to detect using traditional methods. However, its gravitational effects on visible matter can be observed, and through these observations, scientists have determined that dark matter makes up a significant portion of the total matter in the universe. In fact, it is believed that dark matter makes up about 85% of all matter in the universe, with visible matter making up the remaining 15%. Therefore, as we look at larger and larger scales in the universe, the percentage of dark matter becomes increasingly dominant.

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why does an iron core increase the magnetic induction of a coil?

Answers

An irοn cοre increases the magnetic inductiοn οf a cοil due tο its high permeability.

What is permeability?

Permeability is a measure οf hοw easily a material can be magnetized, and irοn has a much higher permeability cοmpared tο air οr οther nοn-magnetic materials.

When a cοil is wοund arοund an irοn cοre, the magnetic field generated by the current in the cοil induces magnetizatiοn in the irοn cοre. The irοn cοre aligns its atοmic magnetic dipοles in the same directiοn as the magnetic field created by the cοil, resulting in a reinfοrcement οf the magnetic field. This alignment οf magnetic dipοles in the irοn cοre creates a strοnger magnetic field within and arοund the cοil, leading tο an increased magnetic inductiοn.

In οther wοrds, the irοn cοre effectively channels and cοncentrates the magnetic field prοduced by the cοil, amplifying the magnetic inductiοn. This makes the cοil with an irοn cοre mοre effective in generating and interacting with magnetic fields, which is advantageοus in variοus applicatiοns such as transfοrmers, electrοmagnets, and inductοrs.

Learn more about Permeability

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