An object is moving along a frictionless track and has a total energy of 210,000 J. At some point along the track, the object's potential energy is 92,000 J. Calculate how much kinetic energy the object has at that same point in the track. Explain how this follows the law of conservation of energy.

The acceleration between two point on a velocity time graph which has coordinate (10sec,15ms)and (20sec,35ms)​ is 2.5m/s².

This is referred to as the rate at which velocity changes with time, in terms of both speed and direction.

Acceleration = change in velocity/change in time

                          = 35m/s - 15m/s  / 20s - 10s

                            = 25m/s / 10s = 2.5m/s²

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Answer:

12 Kilometers

Explanation:

To find the distance Sarah travels in a given time, we can use the formula:

distance = speed * time

In this case, the speed of the horse is 8 km/h and the time Sarah travels is 1 1/2 hours.

distance = 8 km/h * 1 1/2 hours = 12 km

So, Sarah can travel 12 kilometers in 1 1/2 hours.

Because the noises of a rocket launch are so low in pitch, individuals wear specific ear protection to enable them hear the sounds of the rocket better.

What decibel level is dangerous?

Your hearing may begin to be harmed if exposed to noise over 70 dB for an extended period of time. Your ears can suffer instant damage from loud noise above 120 dB.

You can even completely lose your hearing if a firecracker goes off next to your ear. Wear earplugs and stay a safe distance away from where the fireworks are being fired off to protect your ears. Rockets make a rumbling sound before takeoff, a roaring sound during flight, and then a whooshing sound that occurs long later.

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Answer:

The box has a magnitude of 80 N

Explanation:

The acceleration of the box can be calculated as follows:

a = (v_f - v_i) / t

where

v_f = 40 m/s (final velocity)

v_i = 0 m/s (initial velocity)

t = 5 s (time)

a = (40 - 0) / 5

a = 8 m/s^2

So, the acceleration of the box is 8 m/s^2. This acceleration can be caused by the force acting on the box, which can be found using the equation:

F = m * a

where

m = 10 kg (mass of the box)

F = 10 * 8

F = 80 N (Newton)

So, the force acting on the box has a magnitude of 80 N.

Answer:

We can use the density equation to find the mass of 334 ml of water.

Explanation:

Given that the density of water is 1 g/ml, we can substitute the values into the density equation:

ρ = m/v

ρ = 1 g/ml

v = 334 ml

So, m = ρ x v

m = 1 g/ml x 334 ml

m = 334 g

Therefore, the mass of 334 ml of water is 334 g, which is answer option A: 334 grams of water.

Answer: D. The student can place the bar magnet near the known pole of a second magnet and observe the interaction between the poles.

Explanation: Magnets having the property that they attract the different poles and repel the same poles.

The better Investigation should be going to be conducted by the student is that by taking the known pole magnet and make the interaction with the unlabeled magnet.

step 1: choose the known magnet pole first (say S-pole).

step 2: make interaction of this pole with the any of two poles of unlabeled magnet.

step 3: if both magnets are attracting to each other, the pole will be North pole (N-pole), and if repelling to each other, the pole will be South pole(S-pole)

Now if we got the first Pole, the second will be obvious.

(since , magnets have two poles. N-pole and S-pole)

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The temperature of the beer if left out for 20 mins would be 53.1°F.

We can use Newton's law of cooling to estimate how warm the beer will be after 20 minutes. Newton's law of cooling states that the rate of change of the temperature of an object is proportional to the difference between the object's temperature and the temperature of its surroundings. In this case, the rate of change of the beer's temperature is:

d(T)/dt = k(T - T_s)

where T is the temperature of the beer, T_s is the temperature of the surroundings, and k is a constant of proportionality.

From the problem, we know that the initial temperature of the beer is T(0) = 35°F and that it warms up to T(3) = 40°F in 3 minutes. Therefore, we can use this information to find the value of k:

k = [T(3) - T(0)] / [(T(3) - T_s) * t] = [40 - 35] / [(40 - 70) * 3] = 1/30

Now we can use this value of k to estimate the temperature of the beer after 20 minutes:

T(20) - T_s = [T(0) - T_s] * exp(-kt) = (35 - 70) * exp(-(1/30)*20) = -35 * exp(-2/3) ≈ -16.9°F

Therefore, the temperature of the beer after 20 minutes will be approximately 70°F - 16.9°F = 53.1°F.

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When the charge is at point b, the potential energy is 30 j, and the voltage produced at point b by the other charges is 25 volts.

We can use the formula for potential energy in an electric field to relate the change in potential energy to the difference in voltage between the two points:

ΔU = qΔV

here,

ΔU is change in potential energy,

q is charge, and

ΔV is difference in voltage.

We are given that

q = 2 C, and

That the change in potential energy

= ΔU = 30 J.

Therefore, we can solve for the difference in voltage between points a and b:

ΔV = ΔU / q

ΔV = 30 J / 2

ΔV = 15 V

This means that the voltage at point b is

10 V + 15 V = 25 V,

because the potential energy when the charge is at point b is 30 J higher than at point a.

Therefore, the voltage created by the other charges at point b is 25 volts.

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After the switch is closed, the top plate  of the capacitor eventually becomes positively charged

When the switch is closed, what happens to the capacitor's charge?

It initially acts like a short-circuit because when the switch is first closed, the voltage across the capacitor, which we were assured was entirely discharged, is zero volts. The capacitor will eventually operate as an open circuit because the voltage of the capacitor will eventually equal the voltage of the battery.

An electrolytic capacitor with polarity will be labelled with the word "polarity" on it. A minus sign or a color stripe that runs the length of the capacitor is commonly used to indicate the capacitor's negative. The positive lead of the capacitor is longer than the negative lead.

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The organ pipe produces a note with a frequency of approximately 181 Hz.

f = (nv)/(2L)

where:

f = frequency

n = the harmonic number (the first harmonic is 1, the second is 2, etc.)

v = the speed of sound (343 m/s)

L = the length of the pipe (95 cm = 0.95 m)

Since the pipe is open on both ends, it can produce all the odd harmonics (1st, 3rd, 5th, etc.). We'll find the frequency of the first harmonic (n=1):

f = (1343)/(20.95)

f = 181.05 Hz

Frequency is a term used in physics to describe the number of waves, vibrations, or cycles that occur in a given amount of time. It is measured in Hertz (Hz), which represents the number of cycles per second. For example, if a wave oscillates up and down 50 times in one second, its frequency is 50 Hz.

Frequency is a fundamental concept in many areas of physics, including sound, light, and radio waves. It is an important factor in determining the pitch of a sound, as well as the color of light.

In addition, frequency is closely related to the wavelength of a wave, which is the distance between two consecutive points of a wave with the same phase. The relationship between frequency and wavelength is given by the equation c = fλ, where c is the speed of light or sound, f is the frequency, and λ is the wavelength.

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The ball would stationary at the maximum height and accelerated greatly as it falls until it comes to rest on the ground. Option B

The slope of the velocity-time graph represents the acceleration of the object. At the highest point of the object's trajectory, the acceleration is zero, as it is temporarily at rest. As the object starts to fall, its acceleration becomes negative, indicating that it is accelerating downwards due to the force of gravity.

The velocity-time graph is a useful tool for analyzing the motion of an object and understanding its velocity and acceleration at different points in time.

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The net electric force on charge +q is along direction C.

option C.

The electric force between two charges is determined applying Coulomb's law of electrostatic force.

Mathematically, the formula for this law is given as;

F = kq₁q₂/r²

where;

The strength of the electric force increases with decrease in the distance between the two charged particles.

The distance between the charge at the center and

The electric force is strongest towards point C, so the direction of the force will be towards point C.

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Field B may have a higher chance of having low statistical power and thus a higher rate of false positives.

The result suggests that scientific fields with low statistical power have a higher chance to have a high rate of false positives, indicating that their findings are less likely to be true.

On the other hand, Field A, which has a thorough background knowledge, a small community of researchers, and good ways of testing hypotheses, may have a higher likelihood of having a higher statistical power, resulting in a lower rate of false positives and more reliable publications. However, this is not to say that all publications in Field A are true, as individual studies can still have their limitations and potential biases. It is always important to critically evaluate the evidence and findings presented in scientific publications.

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The human activities that are contributing to increase carbon dioxide are said to be releasing chemicals into the atmosphere, deforestation, construction, burning fossil fuels, etc.

Burning the fossil fuels is done to produce coal, generation of electricity, in factory usage which results in the release of huge amounts of CO₂.

Smoke from the vehicles contribute to the increased CO₂ levels.

Deforestation is done to acquire land for agriculture and construction purposes. Urbanisation leads to increase in CO₂ levels with the increased construction.

Construction of high rise buildings leads to the usage of a lot of cement. Thus increasing CO₂ levels into the atmosphere.

Increased CO₂ levels in the atmosphere leads to the climate change by increasing the temperature of the earth.

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A Hilbert-transform filter is used to generate an SSB signal.

A Single Sideband (SSB) signal is generated by filtering one sideband of a modulated signal and suppressing the other sideband and the carrier signal. The most common way of generating an SSB signal is by using a Hilbert-transform filter.

This filter is used to shift the phase of the modulated signal by 90 degrees, effectively converting the upper sideband to the lower sideband, or vice versa. By filtering out one of the sidebands, the SSB signal can be generated. Therefore, option C is the correct answer.

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--The complete question is, What type of digital signal processing filter is used to generate an SSB signal?

A. An adaptive filter

B. A notch filter

C. A Hilbert-transform filter

D. An elliptical filter--

a) The bolt 1.38 seconds to fall through the last 20% of its fall.

b) The bolt begins the last 20% of its fall 3.06 seconds after it is dropped.

c) The speed of the bolt just before it hits the ground is 42.43 m/s.

(a) The time it takes for the bolt to fall through the last 20% of its fall can be calculated using the kinematic equation:

[tex]y = vi*t + (1/2)at^2[/tex]

where y is the distance fallen, vi is the initial velocity (which is 0), a is the acceleration due to gravity ([tex]-9.8 m/s^2[/tex]), and t is the time taken.

Let's call the total distance fallen by the bolt "d". Then, the distance fallen in the last 20% of the fall is 0.2d, and the distance fallen before that is [tex]0.8d[/tex]. So we can write:

[tex]0.2d = (1/2)at^2[/tex]

Solving for t, we get:

[tex]t = sqrt((0.2d)/(0.5*a))[/tex]

Plugging in the values, we get:

[tex]t = sqrt((0.290)/(0.5(-9.8))) = 1.38 seconds[/tex]

To find the speed of the bolt at the end of this 20% fall, we can use the kinematic equation:

[tex]v = vi + a*t[/tex]

where v is the final velocity, vi is the initial velocity (which is 0), a is the acceleration due to gravity ([tex]-9.8 m/s^2[/tex]), and t is the time taken.

Plugging in the values, we get:

[tex]v = 0 + (-9.8)*1.38 = -13.524 m/s[/tex]

The negative sign indicates that the velocity is downward.

(b) The time at which the bolt begins the last 20% of its fall can be found by multiplying the total time taken to fall by 0.8 (since the first 80% of the fall takes 80% of the total time):

[tex]t_start = 0.8sqrt((2d)/g) = 0.8sqrt((2*90)/9.8) = 3.06 seconds[/tex]

(c) The speed of the bolt just before it hits the ground can be found using the kinematic equation:

[tex]v^2 = vi^2 + 2ay[/tex]

where v is the final velocity, vi is the initial velocity (which is 0), a is the acceleration due to gravity [tex](-9.8 m/s^2)[/tex], and y is the distance fallen.

Plugging in the values, we get:

[tex]v = sqrt(0 + 2*(-9.8)*90) = 42.43 m/s[/tex]

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Answer:

C. 7.3 kg

Explanation:

The weight of the shelf can be calculated using the equation:

W = mg

where m is the mass of the shelf and g is the acceleration due to gravity (10 m/s^2).

Since the tension in each wire is equal and equal to 80 N, the total tension in the two wires is 80 N + 80 N = 160 N.

The horizontal component of the tension in each wire can be calculated using the equation:

T_horizontal = T * cos(25)

where T is the tension in each wire and 25 is the angle between the wire and the horizontal.

The horizontal component of the tension in each wire is equal to the weight of the shelf, so we can set the two equal:

T_horizontal = W

80 * cos(25) = W

W = 80 * cos(25) = 74.17 N

Finally, we can calculate the mass of the shelf using the equation for weight:

m = W / g

m = 74.17 / 10

m = 7.417 kg

Therefore, the mass of the shelf is approximately 7.417 kg, which is closest to option C, 7.3 kg.

The exterior or housing, the audio reception and speaker system, the picture tube, and a complicated mass of electronics including cable.

Antennae input and output devices, a built-in antenna in most sets, a remote control receiver, and computer chips, make up the four main sets of parts that make up a television.

Typically, in addition to coaxial cable, HDMI, and other audio-video connectors, smart TVs also enable Ethernet, WiFi, USB, Bluetooth, and flash memory cards from digital cameras.

Therefore, the TV consists of exterior, audio reception, speaker system, and picture tube.

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Answer:

If this is the question : boy weighing 50kg climbs up a vertical height of 100m. Calculate the amount of work done by him. How much potential energy does he gain (g=9.8m/s2)

So the answer will be:

mass of boy = m = 50 kg   
height = h = 100m  

 since boy does not move anything with his force, work done by him is zero    work done on the boy = gain in potential energy   
 P.E=mgh    P.E=50×9.8×100   P.E=49KJ  so, potential energy gained by boy is 49 KJ 

Explanation:

The fundamental frequency of the resonating air column in the bottle is 212.5 Hz. When a tube or bottle with one closed end is excited, it can resonate at certain frequencies, with the lowest frequency being the fundamental frequency.

The fundamental frequency of a resonating air column in a tube with one closed end, like the bottle in this case, is given by:

f = v/4L

where f is the fundamental frequency, v is the speed of sound, and L is the length of the air column.

In this case, the length of the air column is equal to the height of the bottle, which is 0.4 meters. The speed of sound is 340 m/s. Substituting these values into the formula, we get:

f = (340 m/s)/(4 x 0.4 m) = 212.5 Hz

Therefore, the fundamental frequency of the resonating air column in the bottle is 212.5 Hz.

When a tube or bottle with one closed end is excited, it can resonate at certain frequencies, with the lowest frequency being the fundamental frequency. The length of the air column inside the tube determines the fundamental frequency of the resonating air column. The resonant frequencies of the tube are determined by the speed of sound in air, the length of the air column, and the properties of the tube, such as its shape and the position of the closed end.

The fundamental frequency of a resonating air column in a tube with one closed end can be determined using the formula:

f = v/4L

where f is the frequency, v is the speed of sound, and L is the length of the air column. This formula assumes that the air column is a simple tube with one closed end, and that the air inside the tube is at rest before the sound wave is introduced.

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a) The claim student can make is - We can't know for sure whether or not the mass changed, but it seems reasonable to claim that the mass did not change, given that the ranges of uncertainity overlap.

b)  increasing the sample size will in general - increase precision but will not improve accuracy.

c) incorrect results of using the stretched out tape measure- This is due to systematic error. Assuming that a new tape is more accurate, compare the stretched tape to a new tape to see how much the measurements are off. This difference will tell you how much to correct each original length measurement causing the systematic error to be minimized.

a) Since the pupil used the same electronic balance with an query of0.05 g to weigh the mass of the result ahead and later, we can say that the millions are the same within the query of the balance.

b) Precision is the degree to which unborn measures yield the same results. delicacy, on the other hand, is a measure of how nearly the results agree with a true value. By adding the sample size the standard error is dropped meaning that unborn measures will probably fall near to the average. However, also taking further measures won't address this error and ameliorate delicacy as each dimension will be" off" by the same quantum from the true value, If methodical error is present. rather the methodical error needs to be removed, if possible, and this will ameliorate delicacy.

c) The stretching of the tape recording measure introduces a methodical error which could be corrected by comparing the tape recording with a different tape recording( essence or new). Once the pupil knows how important each dimension is out, the pupil can acclimate the original measures consequently. Performing further measures simply reduces the arbitrary error caused by the person reading the scale and won't affect the delicacy of the dimension.

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Allison's speed at the lowest point in the trajectory is 6.41 m/s.

A mass-moving object's route through space as a function of time is known as its trajectory or flight path.

The potential energy at the highest point is given by:

PE = mgh = (14 kg)(9.8 [tex]m/s^2[/tex])(1.8 m)(cos 26°) = 237.5 J

Where h is the height above the lowest point.

At the lowest point, all of the potential energy is converted to kinetic energy, so:

KE = PE = 237.5 J

The kinetic energy is given by:

KE = (1/2)[tex]mv^2[/tex]

where v is the speed at the lowest point. Solving for v, we get:

v = sqrt(2KE/m) = sqrt(2(237.5 J)/(14 kg)) = 6.41 m/s

Thus, 6.41 m/s. Allison's speed at the lowest point in the trajectory.

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Secondary atmosphere- venus, earth, mars

No atmosphere- mercury, earth's moon

What is the atmosphere?

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Venus: Venus has a surface temperature of about 737 K (464 °C, or 867 °F), and its atmosphere is composed of roughly 96 percent carbon dioxide. On Venus, clouds are composed of sulphuric acid (H2SO4) and move in an easterly direction at a speed of about 100 m/s (224 miles per hour).

Earth: The atmosphere of Earth has five layers and is made up of nitrogen, oxygen, water vapour, carbon dioxide, and other trace elements. The troposphere, stratosphere, mesosphere, thermosphere, and exosphere are among them. As one ascends higher into the atmosphere and moves away from the surface, air pressure and density generally decline.

Mars: The planet has a narrow atmosphere that is primarily made of diatomic nitrogen and contains about 95% carbon dioxide. There are also traces of water vapour.

Mercury: It is too hot and too small to retain an atmosphere . However, it does have a tenuous and variable exosphere that is made up of hydrogen, helium, oxygen, sodium, calcium, potassium and water vapour.

Earth’s Moon: Until recently, most everyone accepted the conventional wisdom that the moon has virtually no atmosphere.

What is the Atmosphere?

An Atmosphere is a layer of gas or layers of gas that surround a planet and are kept in place by the gravity of the planetary body. When the gravity is strong and the temperature of the atmosphere is low, a planet maintains its atmosphere. The outer region of a star, which contains the layers above the opaque photosphere, is known as the stellar atmosphere ; low-temperature stars may have outer atmospheres with compound molecules.

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When you apply a force to the baseball with your arm, it causes the baseball to accelerate.

Accelerate is the process of increasing or speeding up the rate of speed or rate of change of something. It is a term used in various contexts and can refer to a variety of activities, from speeding up a car on a highway to boosting the growth rate of a company. In physics, acceleration is the rate of change of velocity over time, and is the second derivative of displacement with respect to time. Acceleration can be negative or positive, depending on whether the speed is decreasing or increasing. It is commonly measured in meters per second squared (m/s2).

This is because a force is a push or pull on an object that causes it to move or change speed or direction. The force you apply to the baseball causes it to accelerate from rest to the speed at which it leaves your hand. This is because when an unbalanced force is applied to an object, it causes the object to accelerate in the direction of the force. The greater the force you apply, the faster and farther the baseball will travel.

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The reaction to this force is force the glove exerts on the ball.

When a player catches the ball, what kind of force is this?

Frictional force allows the ball to stay in the hand while muscular force is employed to stop the motion of the ball during catching.

First, second, and third laws of motion of Newton :According to the first law, until a force acts on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.

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From the information provided, the energy lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest is approximately 65,954.64 J.

To calculate the energy lost to friction, we need to first determine the initial total mechanical energy of the motorcycle and the final total mechanical energy of the motorcycle after it has climbed to a height of 21 meters and come to rest. The difference between the initial and final energies will give us the energy lost to friction.

The initial total mechanical energy of the motorcycle is given by:

Ei = (1/2)mv² + mgh + 2(1/2)Iw²

where m is the mass of the motorcycle, v is its initial speed, h is the height it climbs, g is the acceleration due to gravity, I is the moment of inertia of the wheels, and w is their initial angular velocity.

We need to calculate the moment of inertia of each wheel:

I = (1/2)mr²

where m is the mass of the wheel and r is its radius. Substituting the given values, we get:

I = (1/2)(12 kg)(0.33 m)² = 0.6534 kg m²

The initial angular velocity of each wheel is not given, so we can assume that it is initially at rest (i.e., w = 0).

Substituting the given values into the equation for E, we get:

Ei = (1/2)(180 kg)(25 m/s)² + (180 kg)(9.81 m/s²)(36 m) + 2(1/2)(0.6534 kg m²)(0)²

= 101,812.44 J

The final total mechanical energy of the motorcycle is given by:

Ef = mgh

where m, g, and h are as before, and the speed and rotational energy of the wheels are both zero.

Substituting the given values, we get:

Ef = (180 kg)(9.81 m/s²)(21 m) = 35,857.8 J

The energy lost to friction is the difference between the initial and final energies:

Energy lost = Ei - Ef = 101,812.44 J - 35,857.8 J = 65,954.64 J

Question - Suppose a 180 kg motorcycle is heading toward a hill at aspeed of 25 m/s. The two wheels weigh 12 kg each and are each annular rings with an inner radius of 0.280 m and an outer radius of 0.330 m. Randomized Variables m 180 kg ˇ-25 m/s h 36 m. how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?

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Answer: The wavelength will also increase by a factor of 1.5

Explanation:

The relation between frequency, speed, and wavelength is

v=fλ       where,v=speed

                         f=frequency

                         λ =wavelength

Substituting in the new speed and the original frequency, we get:

1.5v = fλ

Dividing both sides of the equation by f, we get:

1.5v/f = λ

So, the new wavelength is 1.5 times the original wavelength.

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The difference between the new and old wavelengths is 1.5 times.

In physics, wavelength is defined as the distance between two consecutive points in a wave that are in phase, or that are identical in their displacement from the equilibrium position. In other words, the wavelength is the distance traveled by one complete cycle of a wave.

Wavelength is typically represented by the symbol λ (lambda) and is measured in meters or other units of length. It is an important parameter of waves, including electromagnetic waves such as light and radio waves, as well as mechanical waves such as sound waves.

The wavelength of a wave is related to its frequency and speed through the equation λ = v/f, where λ is the wavelength, v is the speed of the wave, and f is the frequency. This equation demonstrates that for a given speed, an increase in frequency will result in a decrease in wavelength, while a decrease in frequency will result in an increase in wavelength.

Here in the Question,

If the speed of a wave increases while the frequency remains constant, then the wavelength must also change.

The relationship between speed, frequency, and wavelength is given by the formula:

v = fλ

where v is the speed of the wave, f is its frequency, and λ is its wavelength.

If we assume the initial speed of the wave is v1 and the initial wavelength is λ1, then we can write:

v1 = fλ1

If the speed of the wave increases to 1.5 times its original speed, then the new speed v2 is given by:

v2 = 1.5 v1

Substituting this into the equation above, we get:

1.5 v1 = fλ2

where λ2 is the new wavelength.

Solving for λ2, we get:

λ2 = (1.5 v1)/f = (1.5 λ1)

Therefore, the new wavelength is 1.5 times the original wavelength.

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Answer:

electron is the correct answer

Explanation:

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If today the sun appears to be located in the middle of the constellation Virgo. therefore, tomorrow the sun will be in the constellation Virgo. Hence, option D is correct.

An arrangement of stars is a constellation. Others have observed patterns in the stars that are used to classify the groups. A lion's form, for instance, appears to be traced by the stars of the constellation Leo.

The western zodiac consists of the 12 constellations Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces is one constellation tradition.

Thus, if today the sun appears to be located in the middle of the constellation Virgo. Then, tomorrow the sun will be in the constellation Virgo. Hence, option D is correct.

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