The speed of the sound depends on the density and the elasticity of the medium through which it travels.
What factors does the speed of sound depend upon ?Medium pressure and temperature Sound waves move more quickly at higher temperatures because molecular vibrations happen more frequently there. At constant temperature, the pressure of a medium has no effect on the sound's speed.
The density and elasticity of the medium through which sound travels affect how fast it travels. In general, sound moves more quickly through solids and gases than through liquids. Sound travels through a medium more quickly the more elastic it is and the less dense it is.
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Strontium forms a face centered cubic unit cell and has a density of 2. 64 g/cm3. What is the radius of a strontium atom?.
Strontium forms a face centered cubic unit cell and has a density of [tex]2.64g/cm^{3}[/tex]. The radius of a strontium is [tex]2.136 x 10^{-8}[/tex] cm.
In physics, how is density used?Density provides an easy way to calculate a body's mass from its volume or vice versa; the mass is equal to the volume multiplied by the density (M = Vd), and the volume is equal to the mass divided by the density (V = M/d).
The structure of strontium (Sr) is similar to that of FCC. In FCC, the relationship between edge length and atomic radius is 2-a=4r2a=4r because unit cell atoms are present in the cube's corner and face centres. In this question, we are given an atomic radius and must calculate the edge length.
Here r=215pmr=215pm so a=4×2152–√=608.2pma=4×2152=608.2pm.
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a resistor is connected in series with a capacitor. when a power source is applied to the resultig circuit, the capacitor is considered to befully charged after a time period equal to how many time constants
The time needed to fully charge the capacitor is about equal to 5 time constants, or 5T.
What is resistor and capacitor (RT) charging circuit?A resistor (R) and a capacitor (C) together form an RC charging circuit, which has characteristics that change exponentially with time. This means that the charging of a capacitor is not instantaneous since capacitors have i-v characteristics that depend on time.
What is time constant?
Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals.
Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input voltage or signal.
If a resistor is connected in series with a capacitor to create an RC circuit, the capacitor will gradually charge through the resistor until the voltage across it equals the supply voltage.
About five time constants, are what it takes for the capacitor to fully charge.
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you are sitting beside the railroad tracks as a train comes toward you at 50 mph. the train whistle has a frequency of 1388 hz. what is the frequency you hear? < 1388 hz
The frequency that we hear is 1484.74 hz.
Frequency is defined as the number of waves (here sound waves) that pass through a point in a unit time.
Also it can defined as the number of vibrations or oscillations that a body undergoes during a unit time.It is denoted by f and has the SI unit as hertz (Hz).Mathematically, frequency is the ratio of velocity with the distance f=v/d.Frequency that can be heard can be calculated by the formula,
f = {(V)/(V - Vsource)} * fsource
source = train
V = speed of the sound = 343 m/s
Vsource = 50 mph = 50 * 0.447 = 22.35 mps
fsource = 1388 hz
f = {(343)/(343 - 22.35)} * 1388
f = 1484.74 hz
Frequency that can be heard when the train passes with the speed of 50 mph is 1484.74 hz.
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4a. a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces.
Bh³/3 is the moment of inertia of a rectangular block of mass m.
Moment of inertia is a term used to describe a body's resistance to having the direction of its rotation along an axis changed by the application of a torque (turning force).
Axis options include internal, external, fixed, and moving. The moment of inertia (I), which is always represented in relation to that axis, is obtained by adding the results of multiplying each particle's mass by the square of its distance from the axis in the specific body. When determining the angular momentum of a rigid body, moment of inertia is equal to mass in linear momentum.
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What is the range for a ionic bond?.
Ionic bond energies typically range from 170 to 1500 kJ/mol (cited estimates vary). Purely ionic compounds have spherical ions in their crystal lattices; however, if the positive ion is tiny and/or highly charged.
It will deform the negative ion's electron cloud, an effect encapsulated in Fajans' laws. An ionic bond is a stable bond created by the full transfer of the valence electron. Positive ions, known as cations, and negative ions, known as anions, are created as a result of this type of connection.
Ionic bonds, also known as electrovalent bonds, are a type of linkage created in a chemical molecule by the electrostatic attraction of ions with opposing charges. When the valence (outermost) electrons of one atom are permanently transferred to another atom, a bond of this kind is created.
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the oort cloud is group of answer choices a region in the same plane as the planets that contains hundreds of thousands of comets. a circular region between the orbits of mars and jupiter that contains most known asteroids. a roughly spherical region larger than the orbit of pluto that may contain a trillion comets. the cloud of gas from which the solar system formed. a vast cloud of gas that encircles the solar system at a great distance from the sun.
The Oort cloud is c. a roughly spherical region larger than the orbit of Pluto that may contain a trillion comets.
In the field of science, the Oort cloud can be described as a spherical region of stars and comets that are known to surround the Sun. It is also believed that the region of Oort cloud is bigger than Pluto which is no longer considered to be a planet.
The Oort cloud is known to expand from 2,000 to 200,000 Astronomical Unit (AU) around the Sun.
However, it is difficult to observe the Oort cloud through a telescope or the eye.
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A weightless spring is stretched 10 cm by a suspended 1-kg block. If two such springs are used to suspend the block, one spring above the other, to effectively provide one double-length spring, then the total stretch of the double-length spring will be
A) 5 cm.
B) 10 cm.
C) 20 cm.
D) 30 cm.
E) none of these
The total stretch of the double-length spring will be 20 cm.
What will be the total stretch of the double-length spring?kn₁ = mg
n₁ = mg/k
In second case,
keff = 1/k + 1/k
⇒keff = (k×k)/2k = k/2
So, k/2 × n₂ = mg
⇒n₂ = 2mg/k = 2n₁
n₂ = 20 cm
What is weightless?When there is no force of support acting on your body, the phenomenon of "weightlessness" takes place. You are not being supported when your body is essentially in "free fall," falling at the speed of gravity.
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The mean distance between the earth and the sun is 1. 50×10^11 m. The average intensity of solar radiation incident on the upper atmosphere of the earth is 1390 w/m2. Assuming that the sun emits radiation uniformly in all directions, determine the total power radiated by the sun.
The total power radiated by the sun is equal to 3.93*10^26 watts.
Here, we have been told that the mean distance between the earth and the sun is = 1.50*19^11 m (i)
The average intensity of solar radiation incident on the upper atmosphere of the earth is = 1390 w/m² (ii)
The intensity of radiation emitted from a source in all directions at a distance r can be found by dividing the total energy emitted per second or power P by the surface area of a sphere of radius r. So, the intensity of radiation at a given point. Using the values of (i), (ii), we get -
= I = P/4π²
= P = 4π*(1.5*10¹¹)²*1390
= P = 3.93*10²⁶
Hence, we have found out that the power radiated by the sun is going to be 3.93*10²⁶ watts.
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How do grasshoppers smell?.
The grasshoppers smell on the antennae.
Grasshoppers sense contact through organs located in different parts of the body such as antennae and apply on the head serti on the abdomen and receptors on the legs. The gustatory organs are located in the mouth and the olfactory organs are located in the antennae. Grasshoppers have such powerful leaping legs that people sometimes don't realize they also have wings.
While locusts use their jumping ability to gain momentum in the air most grasshoppers have fairly powerful flight abilities and make good use of their wings to evade predators. Locusts are non-venomous and pose no danger to humans. But they have strong jaws! It may be temporarily painful. Most grasshoppers mean rubbing their hind legs against their forewings. Special vertebrae on the inside of the hind legs act like a kind of percussion instrument when in contact with the thickened edges of the wings.
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hat is the ultimate source of energy in nuclear and geothermal energy?
The main or major source of energy in nuclear energy or geothermal energy is radioactive decay.
What is radioactive decay?Radioactive decay is the emission of energy in the form of ionizing radiation.
Radioactive decay occurs in atoms that become unbalanced, called radionuclides.
Radioactive decay is the spontaneous breakdown of an atomic nucleus resulting in the release of energy and matter from the nucleus.
Radioactive decay usually results in the release of hug amount of energy.
Thus, we can conclude that the main or major source of energy in nuclear energy or geothermal energy is radioactive decay because the process usually results in the release of hug amount of energy.
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an aircraft is spotted by two observers who are 1000 feet apart.as the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. how high is the airplane?
The height of the airplane is 335.17 ft.
Let PQ be the base, AB be the vertical distance from the ground to the aircraft.
One observer is standing at P and the angle of inclination from P to A is 50°.
Another observer is standing at Q and the angle of inclination from Q to A is 25°.
We know that, PB + BQ = 1000 ft
PB = 1000 - BQ -----(1)
When we consider a triangle PAB, Tan 50° = AB/PB
AB = PB Tan 50° ------(2)
Consider the triangle ABQ, Tan 25° = AB/BQ
AB = BQ Tan 25° ------(3)
Equating (2) and (3) we have,
PB Tan 50° = BQ Tan 25° -----(4)
Substitute (1) in (4), we get,
(1000 - BQ) Tan 50° = BQ Tan 25°
1000 Tan 50° - BQ Tan 50° = BQ Tan 25°
BQ (Tan 25° + Tan 50°) = 1000 Tan 50°
BQ = 1000 Tan 50°/ (Tan 25° + Tan 50°)
BQ = 718.76 ft
PB = 1000 - 718.76 = 281.24 ft
AB = PB Tan 50° = 281.24* Tan 50° = 335.17 ft
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a small grinding wheel is attached to the shaft of an electric motor which has a rated speed of 4000 rpm. when the power is turned on, the unit reaches its rated speed in 5 s, and when the power is turned off, the unit coasts to rest in 70 s. assume uniformly accelerated motion determine the number of revolutions that the motor executes (a) in reaching its rated speed, (b) in coasting to rest.
In a uniformly accelerated motion, the number of revolutions that the motor executes in reaching its rated speed will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
(a) The acceleration experimented by the grinding wheel in reaching its rated speed can be calculated as:
The number of revolution by the wheel, n = [tex]\frac{(4000 - 0) rev/min}{(5/60) min}[/tex]
So, n = 48000 rev/[tex]min^{2}[/tex]
Now, the number of revolutions completed by the grinding wheel in the period of time can be calculated as:
n = [tex]\frac{(4000^{2} rev/min) - (0^{2} rev/min)}{2. (48000 rev/min^{2}) }[/tex]
So, n = 166.66 or 167 revolutions (approximate value)
(b) The acceleration experimented the grinding wheel in coasting to rest while in a circulatory motion can be calculated as:
n = [tex]\frac{(0 - 4000) rev/min}{(70/60) min}[/tex]
So, n = - 3429 rev/[tex]min^{2}[/tex]
Now, the number of revolutions done by grinding wheel in that period of time will be:
n = [tex]\frac{(0^{2} rev/min) - (4000^{2} rev/min)}{2. (-3429 rev/min^{2}) }[/tex]
Or, n = 2333 revolutions
Hence, in reaching its rated speed the number of revolution made by the grinding wheel will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
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What are the effects of quotas?.
Import quota effects on the importing country's producers.
In the field of economics quota signifies the time-bound restrictions governments impose on trade. Generally this is done to preserve and motivate domestic business and balance trade. Governments implies quotas by placing barriers on the value or number of exported or imported goods.
Quotas limits market reach to imported products, which significantly results usually into an increase in the domestic price paid by consumers. This leads to a decrease in consumer surplus and lower real incomes.Quotas impose by employers may become less attractive to the job applicants who are male. Quotas may also lead to low engagement and negative job attitudes among male employees. Furthermore, this perception of unfairness may also cause men to be less supportive of diversity policies than they were at their initial stage to implementing quotas. All the benefits of quotas goes to the both producers and to the lucky importers who manage to get the scarce and valuable import permits.Hence, import quota effects on the importing country's producers.
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a 1500-nfnf capacitor with circular parallel plates 2.0 cmcm in diameter is accumulating charge at the rate of 39.0 mc/smc/s at some instant in time. part a what will be the induced magnetic field strength 9.5 cmcm radially outward from the center of the plates?
The induced magnetic field strength 9.5cm radially outward from the center of the plates is 821.052 Tesla.
We know very well that when a charge is moving with some speed in particular direction then, it will induce a magnetic field around its environment. Only moving charge is able to produce magnetic field, stationary charge only produce electric field.
We know that magnetic field is given by=(μ/2πr)×(q/t) where
μ is called as magnetic field constant,
q is the induced charge in the capacitor,
and r is the distance between the two plates
So, we have r=9.5cm=0.095m,(q/t) =39C/sec and μ=4π×10⁻⁷Tesla-m/A.
So, on putting the above values, we get
=>B=(4π×10⁻⁷ × 39)/2π×0.095
=>B=2×39/ 0.095
=>B=78/0.095
=>B=821.052Tesla.
Hence, induced magnetic field is 821.052Tesla.
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consider an idealized model with a bird emitting constant sound power, with intensity inversely proportional to the square of the distance from the bird. how many decibels does the sound level drop when you move 2.4 times as far away from the bird?
The sound level drops by 7.6 dB when we move 2.4 times as far away from the bird.
The decibel ratio of the measured sound intensity to the reference sound intensity is known as the sound intensity level (SIL), also known as the acoustic intensity level.
Let the initial distance be r₁ and the moved away distance be r₂. Then, r₂=2.4r₁.
Let the initial intensity be I₁ and the moved away intensity be I₂.
Then, the relationship between sound intensity and distance is,
[tex]\frac{I_2}{I_1}=\frac{{r_1}^{2}}{{r_2}^{2}}[/tex].
Let β₁ and β₂ be the two sound intensity levels. The difference in sound intensity is given by,
[tex]\begin{aligned}\beta_2-\beta_1&=\mathrm{10\;dB}\left(\log\frac{I_2}{I}-\log\frac{I_1}{I}\right)\\&=\mathrm{10\;dB}((\log I_2-\log I)-(\log I_1-\log I))\\&=\mathrm{10\;dB}\log \frac{I_2}{I_1}\end{alinged}[/tex]
Then, substitute, the I₂/I₁ value in the above equation.
[tex]\begin{aligned}\beta_2-\beta_1 &=(\mathrm{10\;dB})\log\frac{{r_1}^2}{{r_2}^2}\\&=\mathrm{10\;dB}\log\frac{{r_1}^2}{(2.4r_1)^2}\\&=(\mathrm{10\;dB})\log\left(\frac{1}{5.76}\right)\\&=-\mathrm{7.6\;dB}\end{aligned}[/tex]
The answer is -7.6 decibels.
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What are the 7 stages of the rock cycle?.
The 7 stages of the rock cycle are weathering, erosion and transport, deposition of sediment, burial and compaction, melting, uplift and deformation and metamorphism.
Weathering is a process of breaking down of rocks into smaller particles. Factors like temperature extremities, water and biological involvement of nature play an important role.
Erosion is a process of breaking down of rocks into sand-like particles. In the previous stage, water was only present as a factor for reactions to take place, while in erosion it acts as a transporting agent too.
Sediment is the constant deposition of small particles of sand, pebbles, that are broken down from rocks.
Burial and compaction happens when the sand particles are sedimented, they create layers which are soon covered by another layer of new sediments and the process goes on.
As soon as the rocks reach the bottom of the earth, the temperature rises and so does the pressure.
The process of forming a crust of earth upwards due to natural forces causing movement in the tectonic plates is called uplifting.
The constant pressure and sudden movements put some sedimentary and igneous rocks under great pressure. This stage is known as deformation and metamorphism.
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The reaction A(g)⇌B(g) has an equilibrium constant of Kp=2.3×10^−5.
What can you conclude about the sign of ΔG°rxn for the reaction?
a. ΔG°rxn=0
b. ΔG°rxn is negative
c. ΔG°rxn is positive
d. Nothing can be concluded about the sign of ΔG°rxn
for the reaction.
c. ΔG°rxn is positive
The reaction A(g)⇌B(g) has an equilibrium constant of Kp=2.3×10^−5, the sign of ΔG°rxn for the reaction is c. ΔG°rxn is positive.
Kp is much less than 1.This means that the response is non spontaneous in ahead direction. For, non spontaneous response, delta G is positive
Reactions with a negative ∆G launch power, because of this that that they could continue with out an power enter (are spontaneous). In contrast, reactions with a positive ∆G want an enter of power to be able to take place (are non-spontaneous.
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what is the minimum velocity necessary to throw a ball 100 feet high? how long does does it take the ballt o reach 100 feet
It takes 2.49 seconds for the ball to reach 100 feet of height.
What does velocity vs. speed mean?In contrast to speed, velocity describes the rate and direction of an object's motion along a path. In other words, speed is a scalar quantity while velocity is a vector.
Simply put, velocity is the rate of motion of an object in a specific direction. Using a car driving north on a highway as an example, or a rocket after it has launched, as an example of speed. Scalar implies that the velocity vector's absolute value magnitude will always equal the motion's speed.
Using equation,
100 feet = 30.48m
v² = u² + 2as
v² = 0+2×9.8×30.48
v² = 597.40
v = 24.44m/s
v= u +at
24.44 = 0+9.8t
t = 24.44/9.8
t =2.49seconds.
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what is the maximum wavelength of light (in nanometers) that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 ev?
The maximum wavelength of light that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 eV is 121 nanometer.
Given,
Energy gap = 1.02 eV
Wavelength = ?
We know that,
Speed of light, c, is given as 3 * 10⁸
Planck's constant, h, = 6.626 * 10⁻³⁴
Charge on photons = 1.602 * 10⁻¹⁹
To calculate the maximum wavelength of light we will use a formula of Einstein's equation
Mathematically, Einstein's equation for photon energy is given by this formula:
E = hf = hc/λ
Where:
E is the energy.
h is Plank's constant.
λ is the wavelength.
c is the speed of light.
To find wavelength using the above formula
λ = hc/E
Now, substituting the values, we get
λ = (6.626 * 10⁻³⁴)(3 * 10⁸) / (1.02)(1.602 * 10⁻¹⁹)
λ = 1.21 * 10⁻⁷ m
In 1 nanometer we have 10⁻⁹ m
λ = 121 nm
Therefore, the maximum wavelength of light that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 eV is 121 nm.
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A steel beam hangs from a cable as a crane lifts the beam. What forces act on the beam?.
The forces that act on the beam are gravity and tension in the cable .
Gravity can be defined as the force that exists almost among all material objects that exist in the universe . Gravity is operating among objects of all sizes starting from subatomic sized particles to clusters of galaxies .It is the force that causes the free fall of an apple from the tree on the ground and also the movement of planets around the sun .
Tension can be defined as a force along the length of a medium , the force here is especially carried by a flexible medium such as a rope or a cable . The SI unit of tension is Newton per meter .
The forces that act on the beam are gravity and tension in the cable .
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a boy of mass 43.2 kg runs and jumps onto a stationary skateboard. The boy lands on the skateboard with a horizontal velocity of 4.10 m/s. The skateboard has a mass of 2.50 kg.
Using ideas about conservation of momentum,calculate the combined velocity of the boy and skateboard just after the boy lands on it.
(Pls explain. I've got my physics exams very soon)
The combined velocity of the boy and the skateboard just after the boy lands on it is 3.88 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the velocity of the boy and the skateboard just after the boy lands on it, we use the formula below.
Formula:
V = Mu/(m+M)............. Equation 1Where:
V = Velocity of the boy and the skatebaordM = Mass of the boym = Mass of the skateboardu = Initial velocity of the boy.From the question,
Given:
M = 43.2 kg m = 2.5 kgu = 4.1 m/sSubstitute these values into equation 1
V = (43.2×4.1)/(43.2+2.5)V = 3.88 m/sHence, the velocity of the boy and the skateboard is 3.88 m/s.
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a coil consists of 100 turns of wire wrapped around a square frame of sides 0.5 m. the coil is centered at the origin with each sides parallel to x and y axis. find the induced emf across the coil for magnetic flux density given : .
the magnetic flux density's induced emf across the coil is equal to 5e^-2t.
What does the term "magnetic flux" mean?The magnetic flux across a surface in physics, specifically electromagnetism, is the surface integral of the normal component of the magnetic field B over that surface. The standard notation is B or. The weber is the SI unit for magnetic flux, and the maxwell is the CGS unit.
What connection exists between the magnetic flux density and the induced emf?According to Faraday's law, induced EMF is equal to the rate at which magnetic flux changes. BA = Magnetic flux = Area x Magnetic field strength. As a result, induced EMF is calculated as follows: (change in Magnetic Flux Density x Area)/change in Time.
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This mug is made of two layers of glass separated by empty space. it is more effective than a ceramic mug at keeping the beverage warm. why is this design more effective? the beverage has a higher temperature than the air. the air is warmer than the mug. the particles that make up the glass have no thermal energy. the empty space has no particles to transfer thermal energy.
Answer:
The empty space has no particles to transfer thermal energy
Empty space is a very poor thermal conductor
Answer:
D
Explanation:
did it on edge 2023 :)
Why must microwave towers generally be spaced no more than 30 miles apart to ensure the transmitter and receiver are able to have line-of-sight of each other?.
The distance between stations can only be greater than the visual horizon, or between 30 and 50 miles, due to the requirement of a line of sight (48 to 80 km). The second reason is because, quite surprisingly, microwave networks may have lower latency than fiber, as we have already hinted at.
What is the purpose of a microwave tower?
A physical transmission tool called a microwave antenna is used to send microwave signals between two or more places. Antennas are used for radio astronomy, electronic warfare, and broadcasting in addition to other applications.
What function does the microwave antenna serve in the mobile tower?
A key system component that enables a microwave system to send and receive data between microwave sites is a microwave antenna. They are typically found at a tower's summit.
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a 32.0kg sign is attached outside of a building by four vertical ropes. how much tension (in n) would be in each individual rope to keep the sign motionless?
Answer:
the answer would be 78.4N worth of tension each.
Explanation:
we know that the sign is motionless and all of the tensions are the same, so let us represent the system with newtons second law with the y-axis pointing upwards
[tex]\sum F_y=4t-mg[/tex]
where t is the tension of one of the strings and m is the mass of the signpost. We know that the net force in the y direction is zero, so[tex]4t-mg=0\Rightarrow{t=\frac{mg}{4}=\frac{32.0*9.8}{4}=78.4}[/tex]
A satellite is in orbit 35600 km above the surface of the Earth. Its angular velocity is 7.27 * 10 ^ - 5 rad/s. What is the velocity of the satellite? (The radius of the Earth is 6400 km.)
The linear velocity of the satellite at the given angular speed and position is determined as 3,053.4 m/s.
What is the linear velocity of the satellite?
The linear velocity of the satellite is calculated by applying the following equations.
v = ωr
where;
ω is the angular velocity of the satellite r is the distance of the satellite from the center of the EarthThe linear velocity of the satellite is the tangential velocity of the satellite and it is measured along the axis or circumference of the Earth.
The distance of the satellite from the center of the Earth is calculated as follows;
r = 35600 km + 6400 km
r = 42,000 km
r = 42,000,000 m
The linear velocity of the satellite is calculated as follows;
v = (7.27 x 10⁻⁵ rad/s) x (42,000,000)
v = 3,053.4 m/s
Thus, the linear velocity of the satellite depends on the angular velocity and distance.
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you decide that you want to be able to adjust the width of the views and the data visualizations about electric vehicle sales, charging stations, and battery range. which type of layout will enable you to do that?
A horizontal layout will enable you to adjust the width of the views and objects contained.
What is a layout ?The printed or published work's layout, which establishes the hierarchy of its various graphic elements, serves as its master plan or blueprint. The layout could mean. Page Layout refers to how visual elements are arranged on a page. Comprehensive Layout refers to a suggested page layout that a designer offers to clients.
Process, product, hybrid, and fixed position layouts are the four fundamental layout types. We examine each of these types' fundamental traits in this section. Then, we look at the specifics of how some of the main types were created. Process maps. Arrangements that classify resources based on related procedures or purposes
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if a 3kg bowling ball were suspended from a 5m piece of fishing line, what would be the period of oscillation
Answer:
Oscillation period 4.5 s
Explanation:
Given:
m = 3 kg
L = 5 m
g = 9.8 m/c²
___________
T - ?
Oscillation period:
T = 2π·√ (L / g)
T = 2·3.14·√ (5 / 9.8) ≈ 4.5 s
A sample of helium gas in a balloon is compressed from 5. 26 l to 3. 78 l at constant temperature. If the initial pressure was 4. 39 atm, what is the new pressure?.
Answer:
[tex]P_2=3.79atm[/tex]
Explanation:
According to Boyle's Law:
[tex]P_1V_1=P_2V_2[/tex]
Rewriting to find [tex]P_2[/tex]:
[tex]P_2=\frac{P_1V_1}{V_2}[/tex]
[tex]P_1=4.39atm\\V_1=5.26L\\V_2=3.78\\P_2=\frac{(4.39atm)(3.26L)}{3.78L}\\P_2=3.7861atm[/tex]
This answer follows Boyle's statement that pressure is inversely proportional to volume (V∝[tex]\frac{1}{P}[/tex]). As the volume decreases, the pressure must proportionately increase.
if you had to drill a water well in the area pictured in fig. 12.8, where would you drill (relative to the pattern of plant growth) to find a good supply of water? why
The drill a water well in the area pictured Because there is groundwater there as secondary porosity, I want to drill on the linear soil zone with plantations.
Using a drill bit, drilling is a cutting method that makes circular holes in solid objects.
The spinning cutting tool with multiple points is frequently a drill bit. The bit is pressed against the workpiece as it rotates at rates of hundreds to thousands of revolutions per minute.
This prevents chips from the drilling hole from falling into the workpiece by pushing the cutting edge against it.
By generating low residual stresses around the hole opening and a very thin layer of highly stressed and disturbed material on the newly formed surface, drilling may have an impact on the workpiece's mechanical properties.
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