a person hums into the top of a well and finds that the standing waves are established at frequencies of 54, 90, and 126 hz. the frequency of 54 hz is not necessarily the fundamental frequency. the speed of sound is 343 m/sec. how deep is the well?

Answers

Answer 1

To determine the depth of the well, we can use the relationship between the wavelength of the sound wave and the depth of the well. The standing wave pattern in the well is created by the interference between the sound wave emitted by the person and the reflected wave from the bottom of the well. The depth of the well is approximately 3.18 meters.

The formula for the wavelength of a standing wave in a closed pipe (like a well) is:

λ = 2L/n

Where:

λ is the wavelength

L is the length of the pipe (depth of the well)

n is the harmonic number (1 for the fundamental frequency, 2 for the second harmonic, 3 for the third harmonic, and so on)

In this case, we have three standing waves with frequencies of 54 Hz, 90 Hz, and 126 Hz. We need to find the fundamental frequency (first harmonic) among these three frequencies.

To find the fundamental frequency, we need to determine the harmonic number (n) for the frequency of 54 Hz. We can do this by comparing it with the harmonic numbers of the other frequencies.

Let's calculate the harmonic numbers for the frequencies of 90 Hz and 126 Hz:

Now, let's find the harmonic number (n) for the frequency of 54 Hz:

n = (\(v_{sound}\)) / (2L) = (343 m/s) / (2L)

Since we don't know the harmonic number for 54 Hz, we'll assume it as the fundamental frequency (n = 1) and find the corresponding length of the well (L).

Using the formula for the wavelength, we have:

λ = 2L/n

For the assumed fundamental frequency (n = 1) of 54 Hz:

λ = 2L/1

The speed of sound (\(v_{sound}\) ) is given as 343 m/s. The wavelength (λ) can be calculated using the formula:

λ = \(v_{sound}\)/ f

Where:

f is the frequency

For the assumed fundamental frequency (54 Hz):

λ = (343 m/s) / (54 Hz)

Now, we can equate the two expressions for λ and solve for L (the depth of the well):

2L = (343 m/s) / (54 Hz)

L = ((343 m/s) / (54 Hz)) / 2

L = 3.18 m

Therefore, the depth of the well is approximately 3.18 meters.

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Related Questions

When will an object falling toward earth stop accelerating

Answers

Answer:

Hope this helps!

Explanation:

As an object falls, it picks up speed. The increase in speed leads to an increase in the amount of air resistance. Eventually, the force of air resistance becomes large enough to balances the force of gravity. At this instant in time, the net force is 0 Newton; the object will stop accelerating. An object falling toward earth stop accelerating when it velocity becomes terminal velocity. Or When weight becomes equal to Drag force acting on the object due to air resistance.

As an object falls, it picks up speed. The increase in speed leads to an increase in the amount of air resistance. Eventually, the force of air resistance becomes large enough to balances the force of gravity. At this instant in time, the net force is 0 Newton; the object will stop accelerating.

if a 10 kg object has a kinetic energy of 20 J what is its speed and what is the formula used to calculate speed

Answers

Answer:

2 meter per second

Explanation:

kinetic energy = 1/2 m v^2

20J = 1/2 × 10 × v^2

v^2 = 4

v= 2 m/s

A beaker containing 400g of water has 1200J of work done on it by stirring and 200cal of heat added to it from a hot plate.8.What is the temperature change of the water?A.1.2°C B.2.1°C C.1.4°C D.4.1°C

Answers

A.1.2°C

Explanation

The First Law of Thermodynamics states that heat is a form of energy, and thermodynamic processes are therefore subject to the principle of conservation of energy.

To find internal energy, you have to add the heat added in the system and work done in the system because the work done is not lost but rather it is added in the system.

\(\begin{gathered} \Delta U=q+W \\ where\Delta U\text{ is the change in the internal energy} \\ q\text{ the heat added to the system} \\ W\text{ is the work done by the systeme} \end{gathered}\)

Step 1

a)let

\(q=200\text{ cal}\)

to add the energy it must have the same measure unit, so let's convert calories into Julies

remember that

\(\begin{gathered} 1\text{ cal}\Rightarrow4.184\text{ J} \\ so \\ 200\text{ cal}\Rightarrow200(4.814\text{ J})\Rightarrow836.8\text{ J} \end{gathered}\)

b) now, replace in the formula

\(\begin{gathered} \Delta U= q+W \\ \Delta U=836.8\text{ J+1200 J} \\ \Delta U=2036.8\text{ J} \end{gathered}\)

now, we have the change of internal energy

Step 2

now, let's find the change in temperature

Use the calorimetry formula.

\(\begin{gathered} Q=mc∆T \\ \end{gathered}\)

where m is the mass, Q = heat energy, c = specific heat capacity, and ∆T = change in temperature

a)

let

\(mass=\text{ 0.4 kg}\)

now,

\(\begin{gathered} Q=mC\Delta T \\ 2036.8\text{ j=0.4 kg*4184 }\frac{J}{Kg}|C*\Delta T \\ 2036.8=1673.6\Delta T \\ divide\text{ both sides by 1673.6} \\ \frac{2,036.8}{1673.6}=\frac{1,673.6\text{ }\Delta T}{1673.6} \\ 1.21=\Delta T \\ rounded \\ \Delta T=1.2\text{ \degree C} \end{gathered}\)

so, the answer is

A.1.2°C

You push a 22.0 kg box along a rough floor at a constant velocity. The coefficient of kinetic friction between the box and the floor is 0.45. You then release the box and it slows to a stop.
a) For the time where you are pushing the box, draw a free body diagram of the box and calculate the value of each force as you can on your free body diagram.

b) For the time where you have released the box, draw an FBD of the box. Determine the value of the forces on the FBD and determine the unbalanced force.

c) What will the acceleration of the box be when it is released and slowing to a stop?

Answers

the answer is actually 22.0

Why do you think the forced vital capacity is less than the vital capacity? If your data do not show this pattern, what could have gone wrong?

Answers

The forced vital capacity (FVC) is generally less than the vital capacity (VC) because of the differences in the breathing pattern during these tests.

Why do you think the forced vital capacity is less than the vital capacity?

The forced vital capacity (FVC) is generally less than the vital capacity (VC) because of the differences in the breathing pattern during these tests.

The FVC measures the maximum amount of air that can be forcibly exhaled from the lungs after taking the deepest breath possible, while VC measures the maximum amount of air that can be inhaled and exhaled during normal breathing.

Understand the difference between FVC and VC
- FVC involves a forceful exhalation, while VC is a measure of normal inhalation and exhalation.
- FVC can be affected by factors like age, sex, and lung diseases, which can cause it to be less than VC.

Identify possible reasons for an abnormal pattern
- If your data do not show this pattern, it could be due to incorrect measurement techniques, equipment errors, or inaccuracies in the data.

Re-evaluate the measurements
- Double-check the procedures and equipment used to ensure accurate results. If necessary, repeat the tests to obtain correct values for FVC and VC.

In summary, the forced vital capacity is typically less than the vital capacity due to the differences in the breathing pattern during these tests. If your data do not show this pattern, it could be due to errors in measurement or other factors, and you should re-evaluate your measurements to ensure accuracy.

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What speed must an electron have if its momentum is to be the same as that of an x-ray photon with a wavelength of 0.85 nm?

Answers

Speed of electron is 8.5569 x 10^5 m/s.

What is x- rays?

A sort of piercing high-energy electromagnetic radiation is an X-ray or, much less frequently, an X-radiation. The majority of X-rays have a wavelength between 10 picometers and 10 nanometers, which translates to 145 eV to 124 keV in energy and 30 petahertz to 30 exahertz in frequency.

p_photon = h/\(\lambda\),

where h is Planck's constant.

p_electron = mv (non-relativistic)

v = h/(m*\lambda)

v = (6.626 x 10^-34 J s / (0.85 x 10^-9 m x 9.11 x 10^-31)

v = 8.5569 x 10^5 m/s

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Among the elements below, mark the one that, when doping a
matrix of germanium, does not result in an n-type
semiconductor.
The. Bi
B. At
ç. Ga
d. Sb
and. P

Answers

Option A: Among the elements listed, the one that, when doping a matrix of germanium, does not result in an n-type semiconductor is Bi (Bismuth).

Bismuth is not commonly used as a dopant for creating an n-type semiconductor in germanium. However, it can be used as a dopant for creating a p-type semiconductor. The other elements listed, At (Astatine), Ga (Gallium), Sb (Antimony), and P (Phosphorus), can be used as dopants to create an n-type semiconductor when added to a germanium matrix.

In both N-type and P-type semiconductors, the doping process intentionally introduces impurities into the semiconductor material to modify its electrical properties and allow for the controlled flow of electric current. The combination and interaction of N-type and P-type semiconductors form the basis for various semiconductor devices, such as diodes, transistors, and integrated circuits.

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Correct question:

Among the elements below, mark the one that, when doping a matrix of germanium, does not result in an n-type semiconductor.

A. Bi

B. At

C. Ga

D. Sb

E. P


an
electron originally at rest is subjected to an electric field of
magnitude 12KV/m for a distance of 1.5m what is the resulting
kinetic energy of the electron in femto joul

Answers

To calculate the resulting kinetic energy of an electron subjected to an electric field, we need to know the charge of the electron and assume it is accelerated through the electric field.

The charge of an electron is approximately -1.6 x 10^-19 coulombs (C). Given that the electron is at rest initially, its initial kinetic energy is zero.

The electric field is given as 12 kV/m, which can be converted to volts per meter (V/m) by multiplying by 1000. Therefore, the electric field is 12,000 V/m.

The work done on the electron by the electric field is equal to the change in its kinetic energy. The work done can be calculated using the formula:

Work = force * distance

The force experienced by the electron in an electric field is given by Coulomb's law:

Force = charge * electric field

Substituting the values:

Force = (-1.6 x 10^-19 C) * (12,000 V/m)

Now, we can calculate the work done:

Work = (-1.6 x 10^-19 C) * (12,000 V/m) * (1.5 m)

To convert the work done to kinetic energy, we use the fact that work done is equal to the change in kinetic energy:

Work = Change in kinetic energy

Therefore, the resulting kinetic energy of the electron is equal to the calculated work done.

Now, let's perform the calculations:

Work = (-1.6 x 10^-19 C) * (12,000 V/m) * (1.5 m)

= -28.8 x 10^-19 J

Note: The negative sign indicates that the work is done on the electron, which increases its kinetic energy.

To express the kinetic energy in femtojoules (fJ), we need to convert from joules (J) to femtojoules (fJ):

1 J = 10^15 fJ

Therefore, the resulting kinetic energy of the electron is:

Kinetic energy = -28.8 x 10^-19 J = -28.8 x 10^-4 fJ

Please note that the resulting kinetic energy is negative, indicating that work was done on the electron to accelerate it.

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(PLEASE HELP ILL GIVE OUT BRAINLIEST) Mr. Hicks stands on top of the roof and drops water ball oons at passing students. He misses with one and the balloon bursts on the pavement below, 1.84 seconds later. What
was the velocity of the balloon just before it hits the pavement? How far did the balloon drop?

Answers

Answer:

18.032m/s, 16.59m

Explanation:

Used to find the distance traveled

y=1/2gt^2, where y= vertical distance, g=acceleration due to gravity, and t=time

y=1/2*9.8*1.84^2

y=16.59m distance

Used to solve the final velocity before hitting the ground

vf=vo+at where vf=final velocity, vo=initial velocity, a=acceleeration, t=time

vf=0+9.8*1.84

vf=18.032m/s

which of the images below shows the correct resultant vector?

WILL MARK BRAINLIEST

which of the images below shows the correct resultant vector?WILL MARK BRAINLIEST

Answers

Answer:

3 N right.

Explanation:

The vector in red is 5 units long pointing towards right.

it's length represents its magnitude.

Therfore, the red vector's magnitude is 5 and direction is right.

The other one, the one in blue, is pointing towards left, I. e., in a direction opposite to the red one.

It covers 2 units on the graph so we can say ots magnitude is 2 units.

Therefore, the blue Victor's magnitude is 2 and direction is left.

Since, the two vectors are in opposite directions, the magnitude of their resultant will be equal to their difference, and it will be directed towards the vector with larger magnitude.

here, red has larger magnitude and it's direction is right, so the direction of resultant will be right.

magnitude :-

\( \red{5} - \blue{2} \\ = 3 \: units\)

So, we got the resultant vector pointing towards right and magnitude 3.

How is an emulsion different from other colloids?

Answers

Answer:

The difference between colloid and emulsion is that a colloid can form when any state of matter (solid, liquid or gas) combine with a liquid whereas an emulsion has two liquid components which are immiscible with each other

Explanation:

Two stoves were turned off at the same time, and they both started to cool down. The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes). T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below. Which stove started at a higher temperature?

Answers

Answer:

b & b

Explanation:

Two stoves were turned off at the same time, and they both started to cool down.

The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes).

T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m

The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below.

Which stove started at a higher temperature?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves started at the same temperature

Which stove cooled down at a greater rate?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves cooled down at the same rate

B would be correct and so would be on the 2nd part

Find the heat given off if 1 kg of 125 degree C steam is cooled to 50 degree C water.

Answers

T_i=125°C=398KT_f=50°C=323Kc=4184J/kg°Km=1kg∆T=T_f-T_i=398-323=75K

\(\\ \sf{:}\Rrightarrow Q=mc\Delta T\)

\(\\ \sf{:}\Rrightarrow Q=1(4184)(75)\)

\(\\ \sf{:}\Rrightarrow Q=313800J\)

\(\\ \sf{:}\Rrightarrow Q=313.8KJ\)

what is the failure rate (less than a 2.00) of physics 2048 when taken in the summer?

Answers

The failure rate for Physics 2048 during the summer term cannot be determined without specific data from the institution offering the course.

Failure rates for courses can vary depending on factors such as the institution, instructor, and student population. To provide an accurate percentage, you would need to access data from the specific school or instructor offering Physics 2048 during the summer term.

While it is not possible to provide an exact failure rate without the necessary data, it is generally observed that courses taken during a condensed summer term can be more challenging for some students due to the accelerated pace. This may result in a higher failure rate compared to the same course taken during a regular semester. However, it is essential to emphasize that the actual failure rate depends on the specific circumstances and data of the institution offering the course.

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An object falling from 50m will have
potential than an object falling from 30m
:Equal
:Lower
:Greater
:Less

Answers

Answer:

Greater

Explanation:

Distance (height) and mass determine the amount of Potential energy in an object.

What forces are acting on a heavy box sitting stationary on the floor?

Answers

gravity force would make sense i think

a 75.8 kg bungee jumper jumps off a bridge and undergoes simple harmonic motion. if the period of oscillation is 7.25 s, what is the spring constant of the bungee cord?

Answers

The spring constant of the bungee cord is approximately 58.97 N/m.

We need to use the equation for the period of simple harmonic motion: T = 2π√(m/k)
where T is the period, m is the mass of the object, and k is the spring constant. We are given the mass of the bungee jumper (m = 75.8 kg) and the period of oscillation (T = 7.25 s), so we can rearrange the equation to solve for k:
k = (4π²m)/T²
Plugging in the values, we get: k = (4π² x 75.8 kg)/(7.25 s)²
k ≈ 266.3 N/m
So the spring constant of the bungee cord is approximately 266.3 N/m.

The answer to your question is that the spring constant of the bungee cord is approximately 266.3 N/m. This can be calculated using the formula k = (4π²m)/T², where m is the mass of the bungee jumper and T is the period of oscillation.
The spring constant of the bungee cord can be calculated using the formula for the period of oscillation in a mass-spring system, which is: T = 2π * sqrt(m / k)
Where T is the period of oscillation (7.25 s), m is the mass of the bungee jumper (75.8 kg), and k is the spring constant we need to find. First, square both sides of the equation: (T^2) / (4π^2) = m / k
Now, rearrange the equation to isolate k:
k = m / ((T^2) / (4π^2))
Plug in the given values for mass and period:
k = 75.8 / ((7.25^2) / (4π^2))
Solve for k:
k ≈ 58.97 N/m

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Choose and explain one way that human activities can affect the likelihood of a rockslide occurring.

Answers

Human activities can increase landslide chances because it is responsible for clear-cutting, mining and quarrying, bad agricultural practices, and construction activities.

How do human activities affect landslides?

Yes, in some cases, human activities can give to causing landslides. Many human-caused landslides can be kept away from or mitigated. They are usually a result of building roads and structures without adequate grading of slopes, badly planned alteration of drainage patterns and disturbing old landslides.

In the study area, landslides seriously threaten the safety of people's lives and things and endanger transportation infrastructures. huge rainfall, an earthquake, or a combination of both commonly trigger a landslide.

So we can conclude that Some human activities, especially road construction, farmland allowance for building construction, and agricultural reclamation.

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 3 of 5 : Specify if the test is one-tailed or two-tailed. Answer 2 Points Keyboard Shortcuts One-Tailed Test Two-Tailed Test Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 1 of 5: Enter the hypotheses: Answer 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million ( ppm ). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Answer How to enter your answer (opens in new window) 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 5 of 5 : Enter the conclusion. Answer 2 Points Keyboard Shortcuts Reject Null Hypothesis Fail to Reject Null Hypothesis Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 4 of 5 : Enter the decision rule. Answerhow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Reject H 0
​ if z

Answers

Assuming that the standard deviation is known to be 1.1, for a mean of 1080 samples, it can be said that the data supports the claim that the current ozone level is insufficient at the 0.02 level.

Step 1 of 5: Enter the hypotheses:

Null hypothesis (H0): The current ozone level is sufficient (μ = 7.0 ppm)

Alternative hypothesis (H1): The current ozone level is insufficient (μ < 7.0 ppm)

Step 2 of 5: Enter the value of the z-test statistic:

To find the z-test statistic, we'll use the formula:

z = (X' - μ) / (σ / √n)

where:

X' = sample mean = 6.9 ppm

μ = population mean = 7.0 ppm

σ = standard deviation = 1.1 ppm

n = sample size = 1080

Substituting the values into the formula:

z = (6.9 - 7.0) / (1.1 / √1080)

z = -0.1 / (1.1 / 32.863)

z ≈ -0.1 / 0.033157

z ≈ -3.018

Step 4 of 5: Enter the decision rule:

Since the alternative hypothesis is one-tailed (μ < 7.0 ppm), we need to compare the z-test statistic with the critical value for the given significance level.

At a significance level of 0.02, the critical value can be found using a z-table or a calculator. For a one-tailed test, the critical value is approximately -2.055.

Step 5 of 5: Enter the conclusion:

The z-test statistic (-3.018) is smaller than the critical value (-2.055). Therefore, we reject the null hypothesis.

Conclusion: The data supports the claim that the current ozone level is insufficient at the 0.02 level.

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I
dont know how they got to the answer.
Which hydrogen transition represents the ABSORPTION of a photon in the UV portion of the electromagnetic spectrum? A. n= 4 to n=1 B. n= = 2 to n=3 C. n=3 to n= 5 D. n=3 to n=2 E. n=1 to n = 4 Which

Answers

The hydrogen transition that represents the absorption of a photon in the UV portion of the electromagnetic spectrum is Option E: n=1 to n=4.

In the hydrogen atom, the energy levels of the electrons are quantized, and transitions between these energy levels result in the emission or absorption of photons. The energy of a photon is directly related to the difference in energy between the initial and final states of the electron.

In this case, the transition from n=1 to n=4 represents the absorption of a photon in the UV portion of the electromagnetic spectrum. When an electron in the hydrogen atom absorbs a photon, it gains energy and jumps from the ground state (n=1) to the higher energy state (n=4). This transition corresponds to the absorption of UV light.

The energy of the photon absorbed is equal to the difference in energy between the n=4 and n=1 levels. The energy difference increases as the electron transitions to higher energy levels, which corresponds to shorter wavelengths in the UV portion of the electromagnetic spectrum.

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write a relations between wavelength frequency and velocity for a sound wave​

Answers

Answer:

\({ \boxed{ \mathfrak{answer : \: { \rm{v = f \lambda}}}}}\)

Explanation:

v is the velocityf is frequencylambda is wavelength

\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)

Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through?


index of reflection


index of refraction


angle of incidence


angle of reflection

Answers

Answer:

The index of refraction

What is the index of refraction?

The index of refraction tells us how much slower or faster light travels from one medium to another.

What is a medium? ⇒ the substance that light passes through

The formula to find the refractive index of a substance is the following:

\(n=\dfrac{c}{v}\)

\(c\) = the speed of light in a vacuum (\(3.00*10^8\) m/s)\(v\) = the speed of light in the medium

This makes the index of refraction defined as the ratio of:

the speed of light in a vacuum the speed of light in the material it passes through

Answer:

index of refraction

Explanation:

The device that is made up of many single slits that diffract light and form a diffraction pattern , is called

Answers

Gọi là máy quang phổ kế

That's a diffraction grating.

Which type of waves give scientists information about the structure of Earth's interior layers?

Answers

Answer:

Seismic waves

Think of earthquakes :)

Un carrusel da 1 vuelta cada minuto. Una mamá se da cuenta que el niño está por caerse y arranca a protegerlo cuando el niño ya le lleva 90 grados de ventaja. ¿Con qué aceleración debe alcanzarlo antes de que el niño complete media vuelta? a)¿Si ambo van en el mismo sentido?b) ¿Si ambos van en sentido contrario?

Answers

The acceleration is of mother before child reaches half a revolution is,
a) 0.42 radians per second squared b) 0.42 radians per second squared

If both are moving in the same direction, the relative velocity of the child with respect to the mother is the angular velocity of the carousel, which is 2π radians per minute. The mother needs to cover the same distance as the child in half the time, so her relative velocity with respect to the child must be twice the angular velocity of the carousel, which is 4π radians per minute.

To calculate the required acceleration, we can use the formula: acceleration = (final velocity - initial velocity) / time. Since the mother starts from rest and reaches a velocity of 4π radians per minute, the final velocity is 4π radians per minute. The time to cover half a revolution is 30 seconds. Therefore, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

If both are moving in opposite directions, the relative velocity of the child with respect to the mother is the sum of their individual angular velocities. Since the mother is moving in the opposite direction to the carousel, her angular velocity is -2π radians per minute. Therefore, the relative velocity is (2π - (-2π)) = 4π radians per minute.

Using the same formula as before, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

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--The complete question is, A carousel completes 1 revolution every minute. A mother realizes that her child is about to fall and starts moving to protect him when the child already has a 90-degree lead. What acceleration must she reach to catch up with him before the child completes half a revolution? a) If both are moving in the same direction? b) If both are moving in opposite directions?--

Use the drop-down menus to complete each sentence.
the mass of the cylinder is manipulated. this is the___variable.
the temperature of the water changes as the mass of the cylinder changes. temperature of the water is therefore the____variable.
a ""constant"" is a parameter that stays the same regardless of the variables. one parameter of the system that is held constant is the____.

Answers

The height of the cylinder is manipulated. This is the  variable -independent.

Why the temperature of water changes?

The quantities of carbon dioxide, methane, and nitrous oxide in the earth's atmosphere are higher currently than they have ever been in the previous 800,000 years. The earth's surface temperature has grown as a result of these greenhouse gas emissions and the greenhouse effect.

Water can turn into ice if it is sufficiently chilled. Ice can turn into liquid water if heated sufficiently. The molecules move more quickly when something is heated. The molecules of a substance move more slowly as it is cooled.

Heat waves can be deadly, resulting in conditions like heat cramps and heat stroke as well as actual mortality. Increased global warming has the potential to trigger a variety of other impacts. This is due to the fact that rising air temperatures also have an impact on vegetation, weather patterns, snow and ice, and oceans.

The temperature of the water changes as the height of the cylinder changes. The temperature of the water is therefore the  variable -dependent

A “constant” is a parameter that stays the same regardless of the variables. One parameter of the system that is held constant is the .mass of cylinder

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A wave with a wavelength of 125 meters is moving at a speed of 20 m/s. What is it’s frequency

Answers

Answer:

0.16Hz

Explanation:

wavelength (λ) = 125 meters

speed (V) = 20 m/s

frequency (F) = ?

Recall that frequency is the number of cycles the wave complete in one

second. And its value depends on the wavelength and speed of the wave.

So, apply the formula V = F λ

Make F the subject formula

F = V / λ

F = 20 m/s / 125 meters

F = 0.16 Hz

An earthquake occurs 7,250 km from a seismograph. The P.waves arrive 11.8 minutes later. How fast is the P-wave traveling (in km/s)? If the tag time between P - and 5 -waves is 10.8 minutes, how fast are the S-waves traveling (in km/s)? Using the shadow of S-waves you determine that the radius of the core is 55 N, of the Earth's 6,378−km radius. How many kilometers from the surface is this (in km)?

Answers

The speed of the P-wave is approximately 614.41 km/s. The speed of the S-wave is approximately 564.81 km/s. The distance from the surface to the radius of the Earth's core is approximately 6,323 km.

To calculate the speed of the P-wave, we use the formula: Speed = Distance / Time. Given that the earthquake is 7,250 km from the seismograph and the P-waves arrive 11.8 minutes later, we can convert the time to seconds and calculate the speed of the P-wave.

For the S-wave, we use the same formula: Speed = Distance / Time. Given that the time between the P- and S-waves is 10.8 minutes, we convert the time to seconds and calculate the speed of the S-wave.

Next, using the concept of seismic wave shadow zones, we can determine the distance from the surface to the radius of the Earth's core. The radius of the Earth is given as 6,378 km, and the radius of the Earth's core is 55 N (which corresponds to the inner core radius of 1,220 km). By subtracting the radius of the Earth's core from the Earth's radius, we can find the distance from the surface to the core.

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what is characteristics of mineral​

Answers

Answer:

A.MINERAL HAVE THEIR OWN COLOUR

B.MINERALS HAVE CRSTAL

a 575 kg satellite is in a circular orbit at an altitude of 525 km above the earth's surface. because of air friction, the satellite eventually falls to the earth's surface, where it hits the ground with a speed of 2.20 km/s. how much energy was transformed into internal energy due to air friction?

Answers

Energy transformed into internal energy due to air friction is found to be 1.799 ×10¹⁰ J.

This question can be solved by the use of work energy theorem.

According to work energy theorem the work done by all the forces is equal to the change in kinetic energy of the system.

Given, mass of satellite m= 575 kg

distance of satellite from earth's surface (h)= 525 km

final velocity of the satellite \(v_{f}\)= 2.20 km/s= 2.20×10³ m/s

We know that mass of sun M =6ˣ10²⁴ kg

Radius of earth R= 64ˣ10⁵ m

The total energy of satellite when in orbit is given by \(E= -G\frac{Mm}{2r}\)

Here G is the gravitational constant= 6.67430×10⁻¹¹ m³kg⁻¹s⁻²

r= R+h= 6925000m

On putting all the values and solving we get

E= -1.661ˣ10¹⁰ J (This is the initial energy when the satellite was orbiting sun)

According to question the satellite hits the earth surface with \(v_{f}\)= 2.20 km/s= 2.20×10³ m/s.

So, the gravitational potential energy is given by \(U= -G\frac{Mm}{R}\)

On putting the values and solving we get U= -3.59×10¹⁰ J

The satellite will also have kinetic energy when it hits the surface given by K.E= \(\frac{1}{2}mv^{2}\)

On putting the values and solving we get K.E= 0.13×10¹⁰ J

Total energy (T.E) of the satellite when it hits the ground is the sum of kinetic energy and potential energy

T.E= K.E+U= -3.46×10¹⁰ J

The energy which was transferred into internal energy due to the air friction is the difference of the total initial energy (E) and total final energy (T.E)

Internal energy= E- T.E

= (-1.661+3.46)×10¹⁰ J

=1.799 ×10¹⁰ J

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