A person hums into the top of a well (tube open at only one end) and finds that standing waves are established at frequencies of 30.8, 51.4, and 71.9 Hz. The frequency of 30.8 Hz is not necessarily the fundamental frequency. The speed of sound is 343 m/s. How deep is the well?
Answers
The depth of the well is approximately 11.6 meters.
When a person hums into the top of a well, standing waves are established at certain frequencies. In this case, the given frequencies are 30.8 Hz, 51.4 Hz, and 71.9 Hz. To determine the depth of the well, we can use the formula for the fundamental frequency of a closed-open tube, which is given by:
f1 = v / (2L)
where f1 is the fundamental frequency, v is the speed of sound, and L is the length of the tube (in this case, the depth of the well).
Since the frequency of 30.8 Hz is not necessarily the fundamental frequency, we need to find the length of the tube (depth of the well) that corresponds to this frequency. We can start by rearranging the formula to solve for L:
L = v / (2f1)
Plugging in the values, we have:
L = 343 m/s / (2 * 30.8 Hz)
L ≈ 5.58 meters
Therefore, the depth of the well is approximately 5.58 meters. However, we need to consider that the other given frequencies, 51.4 Hz and 71.9 Hz, could also correspond to the higher harmonics of the fundamental frequency. To confirm the depth of the well, we can calculate the lengths corresponding to these frequencies as well.
L2 = 343 m/s / (2 * 51.4 Hz)
L2 ≈ 3.32 meters
L3 = 343 m/s / (2 * 71.9 Hz)
L3 ≈ 2.39 meters
Since the lengths obtained for L2 and L3 are smaller than the length obtained for L, we can conclude that the depth of the well is approximately 5.58 meters.
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Related Questions
katania wanted to find out what type of liquid worked best for growing beans
Answers
Answer:
Water
Explanation:
I dont have enough data to answer this question, but im going to assume its water. Because its a plant. Thats all they drink
A metal ring is placed over the top of the extending core rod of an electromagnet so that it lies still on a platform as shown below. At t = 0, the switch for the electromagnet is closed and it produces an AC magnetic field B(r, t) = B(r) sin(ωt), i.e., as a fixed B(r) pattern with cylindrical symmetry modulated by a sinusoidal time factor sin(ωt), and the associated magnetic flux through the ring, while still over the magnet core rod, is Φ(t) = Φ(0) sin(ωt) where Φ0 = R B(r)· da is the time-independent flux of B(r) through the ring, and is taken to be positive. Take the upward direction to be +ˆz. The following steps guide us to find the force on the ring.a.) Take the ring to have a self inductance L, but negligible resistance. Find the induced current I(t) in the ring with the initial condition I(0) = 0. Express your answer in terms of Φ0 and L.
b.) Give sketches showing the directions of I, B acting on the ring, and the Force dF = IdL × B acting on a small segment of the ring for (i) 0 < t < T/4, (ii) T/4 < t < T/2, (iii) T/2 < t < 3T/4, and (iv) 3T/4 < t < T, where T = 2π/ω is the period of the AC magnetic field
c.) Now find the total magnetic force F(t) acting on the whole ring, and the time averaged force F¯ over one full cycle T. Express your answer in terms of Φ0, L, B(R0), and θ. Here R0 is the radius of the ring, B(R0) is the strength of magnetic field at the position of the ring, and θ is the angle B(R0) makes with the vertical as shown in the figure.
d.) Now suppose the ring has negligible self inductance, but a finite resistence R. Repeat (b) for this case. What will F¯ be now?
Answers
a) The induced current I(t) in the ring with the initial condition I(0) = 0 is:
I(t) = (Φ0/ωL) cos(ωt)
b) Sketches showing directions of I, B, and dF for different time intervals
c) The total magnetic force is:
F(t) = Φ0^2 R0 B(R0) sin^2(θ) sin(2ωt)/L, F¯ = (Φ0^2 R0 B(R0) sin^2(θ))/2ωL
d) Sketches showing directions of I, B, and dF for different time intervals, F¯ = Φ0^2 R0 B(R0) sin^2(θ)/2R
a) Using Faraday's law, we have ε = -dΦ/dt, where ε is the emf induced in the ring. Since the resistance is negligible, the induced current is given by I = ε/L = -dΦ/dtL.
From the given equation for the magnetic flux, we have Φ(t) = Φ0 sin(ωt). Therefore, I(t) = (Φ0/ωL) cos(ωt).
b) For 0 < t < T/4, the induced current flows clockwise and the magnetic field points upward. Therefore, the force dF on the segment is to the right. For T/4 < t < T/2, the induced current flows counterclockwise and the magnetic field points downward.
Therefore, the force dF on the segment is again to the right. For T/2 < t < 3T/4, the induced current flows clockwise and the magnetic field points downward.
Therefore, the force dF on the segment is to the left. For 3T/4 < t < T, the induced current flows counterclockwise and the magnetic field points upward. Therefore, the force dF on the segment is again to the left.
c) The force on the ring is given by F(t) = ∫IdL × B = Φ0^2 R0 B(R0) sin^2(θ) sin(2ωt)/L. To find the time-averaged force over one cycle T, we integrate F(t) over one cycle and divide by T.
After some algebraic manipulation, we obtain F¯ = (Φ0^2 R0 B(R0) sin^2(θ))/2ωL.
d) When the ring has a finite resistance R, there will be a voltage drop across the ring due to the induced current. Therefore, the induced current will be:
I(t) = (Φ0/ωL) cos(ωt) - (Φ0/RL) sin(ωt).
The direction of the force dF on the segment will depend on the sign of the product of I and B. For T/4 < t < 3T/4, the force on the segment will be in the opposite direction compared to the case where R = 0.
The time-averaged force F¯ can be found by integrating F(t) over one cycle and dividing by T. After some algebraic manipulation, we obtain F¯ = Φ0^2 R0 B(R0) sin^2(θ)/2R.
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PLEASE HELP ASAP
Compare the two waves. Wave A ___ (check all that apply)
Group of answer choices
has more energy
has a greater amplitude
has a lower amplitude
has a higher frequency
has less energy
has a lower frequency
Answers
Answer:
has more energy, has a greater amplitude, has a higher frequency
Explanation:
if two different currents are established in the same direction parallel will they exert equal magnetic attractive forces?
Answers
No, two different currents established in the same direction parallel will not exert equal magnetic attractive forces. This is because the magnitude of the magnetic force between two parallel currents depends on the amount of current flowing in each wire.
According to Ampere's Law, the magnetic force between two parallel currents is given by the equation F = (μ₀/2π) * (I₁ * I₂ / d), where F is the magnetic force, μ₀ is the permeability of free space, I₁ and I₂ are the currents in the two wires, and d is the distance between the wires.
As we can see from this equation, the magnitude of the magnetic force depends on the product of the currents in the two wires. Therefore, if the two currents are different, the magnetic force between them will also be different.
So, in conclusion, two different currents established in the same direction parallel will not exert equal magnetic attractive forces because the magnitude of the magnetic force depends on the amount of current flowing in each wire.
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Which statement describes a digital signal used to store information?
A. It includes sound waves you make.
B. It moves gradually among an infinite number of values.
C. It includes visible light waves.
D. It is easy to copy.
SUBMIT
Help
Answers
Answer:
D. It is easy to copy.
Explanation:
It is not B, or A, nor C.
Answer:D
Explanation:
Which word best describes covalent bonding?
Answers
Answer: Option (a)
Solution: The covalent bond is best described as the bond where one atom shares its electron(s) with another neighboring atom to become stable. Here, the word “co” represents jointly and “valent” represents valency shared by them. Therefore, option (a) is the most appropriate choice amongst all the provided options.
The conversion of sugar to energy in the presence of oxygen is
A.
respiration
B.
protein synthesis
C.
binary fission
D.
photosynthesis
Answers
Answer:
A. respiration.
Explanation:
Cellular respiration can be defined as a series of metabolic reactions that typically occur in cells so as to produce energy in the form of adenosine triphosphate (ATP). During cellular respiration, high energy intermediates are created that can then be oxidized to make adenosine triphosphate (ATP). Therefore, the intermediary products are produced at the glycolysis and citric acid cycle stage.
Additionally, mitochondria provides all the energy required in the cell by transforming energy forms through series of chemical reactions; breaking down of glucose into Adenosine Triphosphate (ATP) used for providing energy for cellular activities in the body of living organisms.
Basically, oxygen goes into the body of a living organism such as plants, humans and animals when they breathe while glucose is absorbed by the body when they eat.
Hence, the conversion of sugar to energy in the presence of oxygen is respiration.
2. A sled with no initial velocity accelerates at a rate of 1.1 m/s down a hill. How
long does it take the sled to go 13 m to the bottom?
Answers
Answer:
Time, t = 4.862 seconds
Explanation:
Given the following data;
Initial velocity = 0
Acceleration = 1.1m/s²
Distance = 13m
To find the time, we would use the second equation of motion;
S = ut + ½at²
Substituting into the equation, we have;
13 = 0*t + ½*1.1*t²
13 = 0.55t²
t² = 13/0.55
t² = 23.64
Taking the square root of both sides, we have;
Time, t = 4.862 seconds
Which is better value? 5 kg of potatoes for $3.80 or 3 kg for $2.20
Answers
Answer:
5kg of $3.80 is better value
Answer:
Explanation:
5 kg of potatoes for $3.80 is a better value
A ball is thrown horizontally from the top of a building 53.5 m high. the ball strikes the ground at a point 49.7 m from the base of the building. the acceleration of gravity is 9.8 m/s 2 . find the time the ball is in motion.
Answers
Answer: who ever thrown that ball, got an arm.
Explanation:
4. Consider two infinite parallel plates at x = 0 and x=d The space between them is filled by electrons (-e) of a uniform density ne= no. and positrons (+e) of uniform density np = 2n (a) find the pot
Answers
The potential difference (ΔV) between the plates is given by: ΔV = - [e * (2n + no) / ε₀] d
To find the potential between the two infinite parallel plates, we can use the concept of Gauss's Law and the principle of superposition.
Let's assume that the positively charged plate is located at x = 0, and the negatively charged plate is located at x = d. We'll also assume that the potential at infinity is zero.
First, let's consider the electric field due to the negatively charged plate. The electric field inside the region between the plates will be constant and pointing towards the positive plate. Since the electron density is uniform, the electric field due to the negative plate is given by:
E₁ = (σ₁ / ε₀)
where σ₁ is the surface charge density on the negative plate, and ε₀ is the permittivity of free space.
Similarly, the electric field due to the positive plate is given by:
E₂ = (σ₂ / ε₀)
where σ₂ is the surface charge density on the positive plate.
The total electric field between the plates is the sum of the fields due to the positive and negative plates:
E = E₂ - E₁ = [(σ₂ - σ₁) / ε₀]
Now, to find the potential difference (ΔV) between the plates, we integrate the electric field along the path between the plates:
ΔV = - ∫ E dx
Since the electric field is constant, the integral simplifies to:
ΔV = - E ∫ dx
ΔV = - E (x₂ - x₁)
ΔV = - E d
Substituting the expression for E, we have:
ΔV = - [(σ₂ - σ₁) / ε₀] d
Now, we need to relate the surface charge densities (σ₁ and σ₂) to the electron and positron densities (ne and np). Since the electron density is uniform (ne = no) and the positron density is twice the electron density (np = 2n), we can express the surface charge densities as follows:
σ₁ = -e * ne
σ₂ = +e * np
Substituting these values into the expression for ΔV:
ΔV = - [(+e * np - (-e * ne)) / ε₀] d
ΔV = - [e * (np + ne) / ε₀] d
Since ne = no and np = 2n, we can simplify further:
ΔV = - [e * (2n + no) / ε₀] d
Therefore, the , the potential difference (ΔV) between the plates is given by:
ΔV = - [e * (2n + no) / ε₀] d
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The system is in equilibrium, and the pulleys are weightless and frictionless.
Find the tension T.
The acceleration of gravity is 32 ft/s^2
Note: lb ≡ slug · ft/s^2
Answer in units of lb.
There is an attachment of the system below
Answers
Answer:
F = M a where F is in lbs, M in slugs and a in ft/s^2
Apparently this system is motionless so
T + 15 is the downward force on the mass of 15 lbs
1 slug * 32 ft/s^2 is 32 lbs the weight of the other block
It takes a force of 32 / 2 = 16 lbs on the cable to support this weight
16 lbs = T + 15 lbs
T = 1 lbs
astronomers observe a typical star using a telescope and a spectrometer. they will see: a. a continuous spectrum b. an emission spectrum c. an absorption spectrum d. a doppler shift e. more than one of the above
Answers
Astronomers observe a typical star using a telescope and a spectrometer. they will see an absorption spectrum .
Absorption spectroscopy is the name given to spectroscopic methods that assess how much radiation is absorbed as a function of frequency or wavelength when it interacts with a substance. The sample takes in energy from the emitting field, or photons. The absorption spectrum is a fluctuation in the intensity of the absorption that varies with frequency. The entire electromagnetic spectrum is used for absorption spectroscopy.
An analytical chemistry instrument called absorption spectroscopy is used to find out whether a specific drug is present in a sample and, frequently, to quantify how much of it there is. Analytical applications frequently use infrared and ultraviolet-visible spectroscopy. Additionally, astronomical spectroscopy, remote sensing, and studies of molecular and atomic physics all make use of absorption spectroscopy.
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Part A - Tension in the string
Given that a2 is the magnitude of the horizontal acceleration of the block with mass m2, what is T, the tension in the string?
Express the tension in terms of m2 and a2.
Part B - Acceleration of suspended block
Given T, the tension in the string, calculate a1, the magnitude of the vertical acceleration of the block with mass m1.
Express the acceleration's magnitude, a1, in terms of m1, g, and T.
Part C - Relative acceleration between blocks
Given the magnitude a1 of the acceleration of the block with mass m1, find a2, the magnitude of the horizontal acceleration of the block with mass m2.
Express a2 in terms of a1.
Part D
Using the result from Part C in the equation for T from Part A, express T as a function of a1.
Express your answer in terms of m2 and a1.
Part E
Having solved the previous parts, you have all the pieces needed to calculate a1, the magnitude of the acceleration of the block with mass m1. Enter an expression for a1.
Express the acceleration's magnitude a1 in terms of m1, m2, and g.
Answers
Based on the magnitude of the horizontal acceleration and the mass, the tension will be (m₂ x a₂) / 2.
Expressing the tension in the string
In the relevant diagram, there are two strings so the tension will be multiplied by 2.
The tension on the string can be found by:
2 x Tension on string = m₂ x a₂
Tension = (m₂ x a₂) / 2
In conclusion, the tension is (m₂ x a₂) / 2.
Therefore the string tension is (m₂ x a₂) / 2
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A force of 6.0 Newton’s is applied to a block at rest on a horizontal frictionless surface over a 7.0 meter span. How much energy is gained by the block.
Answers
Answer:
42J
Explanation:
Given parameters:
Force applied = 6N
Distance moved = 7m
Unknown:
Amount of energy gained by the block = ?
Solution:
The amount of energy gained by the block is the same as the work done on the block.
The work done is the force applied to move the block through a distance;
Energy gained = force x distance = 6 x 7 = 42J
1. A 400 W power-rated resistive element is connected to a 120 VAC (rms) outlet. a) How much current is flowing through the element? b) What is the resistance of the element? c) What is the Peak volta
Answers
The current is 3.33A, the resistance is 36.03 Ohm, and the peak voltage is 169.68V.
Given information:
The power rating of the resistive element (P) = 400 W
Voltage supplied by the outlet (V) = 120 VAC (RMS)
a) To find the current flowing through the element, the formula:
Power (P) = Voltage (V) × Current (I)
Current (I) = Power (P) / Voltage (V)
Substituting the given values:
Current (I) = 400 W / 120 VAC
= 3.33 A
b) To find the resistance of the element, Ohm's Law can be used :
Resistance (R) = Voltage (V) / Current (I)
Resistance (R) = 120 VAC / 3.33A
= 36.03 Ohm
c) To find the peak voltage, it is required to convert the RMS voltage to peak voltage. For an AC voltage, the relationship between RMS voltage (\(V_{rms\)) and peak voltage (\(V_{peak\)) is given by:
\(V_{peak} = V_{rms} \times \sqrt2\)
Substituting the given RMS voltage:
Peak voltage = \(120 \times \sqrt2\)
= 169.68 V
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When this astronaut goes
back to Earth, what will
happen?
A. His weight will increase.
B. His mass will increase.
C. Both his mass and weight will decrease.
Answers
Answer: A
Explanation: The mass of a thing never changes but weight is the act of gravity on mass. This rules out B and C since mass can’t change. Leaving A as the only possible answer.
Seeds are often found on which part of a gymnosperm?
branch
leaf
cone
stem
Answers
You are sitting in a chair on an elavator. The elavator accelerates downward, you and the chair land on the cround with the chair landing first and then you on the chair.
Explain the Net Forces at 3 points for each object
The points are: Before the Elevator Accelerates Downward, In Freefall, At Impact
Analyze whether the Normal Force would need to increase, and where the direction of the net force is for each object.
Answers
Answer:
fdsbgdfshtrsnbfgsbnhgr
Explanation:
cdfrgresgtrshtrwhtrwhtwjhdgngdabfeahydrtgnb
uppose a spaceship heading straight towards the Earth at 0.75c can shoot a canister at 0.55c relative to the ship.
A) If the canister is shot directly at Earth, what is the ratio of its velocity, as measured on Earth, to the speed of light?
B) What about if it is shot directly away from the Earth (again, relative to c)?
Answers
The canister's velocity on Earth is 0.166 times slower than the speed of light.
Calculation-The special theory of relativity states that the following is the formula for adding two velocities, u and v:
w = (1 + uv/c2) / (u + v)
where the final velocity is denoted by w.
A) We may use the velocity addition formula to get the canister's velocity as measured on Earth if the spacecraft is travelling directly towards Earth at 0.75c and fires a canister at 0.55c with the ship:
u = 0.75c (spaceship velocity)
v = 0.55c (canister velocity relative to the spaceship)
c = speed of light
w = (0.75c + 0.55c) / (1 + (0.75c x 0.55c) / c^2)
w = 1.3c / (1 + 0.4125)
w = 0.945c
As a result, the canister's velocity on Earth is 0.945 times faster than the speed of light.
B) We can use the same velocity addition formula as previously but with a negative sign for the velocity v if the canister is launched directly away from the Earth (relative to c):
u = 0.75c (spaceship velocity)
v = -0.55c (canister velocity relative to the spaceship, directed away from the Earth)
c = speed of light
w = (0.75c - 0.55c) / (1 - (0.75c x -0.55c) / c^2)
w = 0.20c / (1 + 0.20625)
w = 0.166c
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when several meteors are observed to radiate in the night sky the event is called a meteor shower. this often occurs at predictable times throughout the year when
Answers
When several meteors are observed to radiate in the night sky, the event is called a meteor shower.
This often occurs at predictable times throughout the year when the Earth passes through the debris trail left by a comet or asteroid. As the debris enters Earth's atmosphere, it burns up, creating streaks of light in the sky that we call meteors. Some well-known meteor showers include the Perseids in August, the Leonids in November, and the Geminids in December.
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Radiation transfers energy by moving matter. (will give brainliest)
A) True
B) False
Answers
Radiation transfers energy by moving matter is false.
What is the name for the transmission of energy?It should be noted that, in contrast to conduction or convection, heat transmission via radiation does not require the assistance of any substance.The process of transfers energy from one form to another is called energy transformation or energy conversion.heat is the energy that moves from one body to another when temperatures are different. Heat passes from the hotter to the colder body when two bodies with differing temperatures are brought together.The movement of thermal energy from one item to another is referred to as heat. Thermal energy can be transferred by conduction, convection, or radiation. More energy can be stored in some materials than others.To learn more about transfers energy refer to:
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HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
Outline the cell cycle
Answers
Answer:
The cell cycle has four stages: during the first three, the cell is in interphase, and in the last one, the cell is dividing itself. Also, there is a resting stage when the cell is not preparing itself for the division.
G0: the cell is not in the cell cycle. It is resting and not preparing itself for the division.
G1: the cell grows and synthesizes proteins and other elements that the cell will need for the next stage.
S: In this phase, which is called Synthesis, the cell synthesizes the DNA.
G2: the cell continues to grow. It synthesizes more proteins, RNA, and other elements that it will need for mitosis.
Mitosis: the division of the cell takes place, and as a result, there are two daughter cells. This phase has four stages, prophase, metaphase, anaphase, and telophase.
Explanation:
The cell cycle has four stages. Each of them has a role in the division of the cell. The first one is Gap 1 or G1, then the Synthesis or S phase follows, after S, Gap 2 takes place, and finally, Mitosis.
We can divide the cell cycle into two big groups: interphase, which includes G1, S, and G2, and the changes that the cell suffer can not be appreciated. The other group is the One where the cell division happens, and it includes Mitosis.
G0 is not part of the cell cycle. It is a state where the cell doe not prepares itself for the division. It is resting.
Explain the difference between velocity and acceleration.
Answers
Answer:
velocity has direction and acceleration doesn't
A progressive wave equation is represented by y=Asin2π(0. 15t-0. 1x). Find the
period,
amplitude,
frequency,
wavelength,
velocity
Answers
Given that the progressive wave equation is represented by y=Asin2π(0.15t-0.1x). Let's find the period, amplitude, frequency, wavelength, and velocity.
The wave equation is represented by y=Asin2π(0.15t-0.1x). The standard wave equation can be written asy = Asin(kx-ωt + Φ)Where,k = wave numberω = angular frequencyΦ = phase angle for the given equation, k = 0.1 and ω = 0.15.Amplitude:
Amplitude = A = maximum displacement from the mean position.A = 1Frequency: Frequency is the number of complete oscillations made by a point on the wave in one second. It is denoted by f.f = ω/2πFrequency, f = 0.15/2π = 0.0238 HzPeriod: Period is the time taken by one complete oscillation.
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What is the impulse experienced by a 24kg dog as he speeds up from 2m/s to 6m/s
Answers
Given
m = 24kg
vi = 2 m/s
vf = 6 m/s
Procedure
Impulse = Change in momentum
\(\begin{gathered} I=m\Delta v \\ I=m(v_f-v_i) \\ I=24\cdot(6-2) \\ I=96\operatorname{kg}m/s \end{gathered}\)The answer would be I = 96 kg*m/s
An object is moving east with a constant speed of 30 m/s for 5 seconds. What is the object's acceleration
Answers
Answer:
The answer is 6 m/s²Explanation:
The acceleration of an object given it's velocity and time taken can be found by using the formula
\(a = \frac{v}{t} \\ \)
where
v is the velocity
t is the time
We have
\(a = \frac{30}{5} \\ \)
We have the final answer as
6 m/s²Hope this helps you
What is Flexibility ?
Answers
=> Flexibility is the ability of a joint or series of joints to move through an unrestricted, pain free range of motion.
Earth, has a bigger mass than the Moon .
if you'll be able to go to the moon,
what happens to your weight?
Answers
HELP ME ASAP PLEASE!!Which natural phenomenon can trigger a landslide?
O intense rain or an earthquake
O light breezes or a flowing stream
O heavy snow or continuous sunlight
O icy conditions or ground surface melting
Answers
Answer:
O Intense rain or an earthquake
Explanation:
Landslides can be initiated in slopes already on the verge of movement by rainfall, snowmelt, changes in water level, stream erosion, changes in ground water, earthquakes, volcanic activity, disturbance by human activities, or any combination of these factors.
Intense rain or an earthquake can trigger a landslide.
Landslide is a natural phenomenon in which a mass of rock and/or earth moves down a slope. An earthquake is a major geologic hazard that shakes the Earth and thus can induce a landslide.Intense rain can also induce a landslide because humidity on the ground also leads to disturbances in the natural stability of the slope.In conclusion, intense rain or an earthquake can trigger a landslide.
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