In two hours, a bear travels ten kilometers west in quest of more fruit. Then, in an hour, she covers 3. 5 km to the east. The typical Average velocity is 3.25 km/hr .
The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. Based on the direction of the displacement, the average velocity might either be positive or negative.
The formula V = D/t is used to compute average velocity, where V stands for average velocity, D for total displacement, and t for total time. The displacement of an object over time is its average velocity. We divide the distance traveled by the amount of time to determine an object's average speed. We are aware that speed is a vector.
here d = 10 km
t = 2hours
distance at second time (z) = 3.5 km
Average velocity = ∆x/∆t
Average velocity = (10-3.5) / 2
Average velocity = 3.25 km/hr
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The current direction is shown for a current carrying wire in a magnetic field
What direction is the magnetic force?
A. __ Up the page
B. __ Down the page
C. __Right
D. __ Left
E. __ Into the page
F. __ Out of the page
G. __ None or imposible situation
H. __ Cannot be determined
Two solid spheres, both of radius 5cm, carry identical total charges of 2μC. Sphere A is a good conductor.Sphere B is an insulator, and its charge is distributed uniformly throughout its volume.How do the magnitudes of the electric fields they separately create at radius 4 cm compare?1. EA > EB = 0 2. EA > EB > 0 3. EA = EB > 04. 0 < EA < EB5. 0 = EA < EB
The magnitude of the electric field E created by a charged sphere at a distance r from its center is given by:
How is electric field created ?E = kQ/r^2
where k is Coulomb's constant, Q is the total charge on the sphere, and r is the distance from the center of the sphere.For sphere A, since it is a good conductor, the charge is distributed uniformly on its surface. So the total charge Q is given by:
Q = 2μC
The electric field E created by sphere A at a distance of 4 cm from its center is:
EA = kQ/r^2 = k(2μC)/(0.04m)^2
For sphere B, since its charge is distributed uniformly throughout its volume, the total charge Q is given by:
Q = (4/3)πr^3ρ
where ρ is the charge density, which is equal to Q/V, where V is the volume of the sphere. Since the charge is distributed uniformly, the charge density is constant. Thus,Q = (4/3)πr^3ρ = (4/3)π(0.05m)^3(2μC/((4/3)π(0.05m)^3)) = 2μC
The electric field E created by sphere B at a distance of 4 cm from its center is:EB = kQ/r^2 = k(2μC)/(0.04m)^2
Therefore, we can see that EA = EB, which means that option 3 is correct: EA = EB > 0.
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How many crankshaft revolutions in degrees is needed to complete 4-strokes? A. 180 B. 360 C. 90 D. 720.
For a full cycle, four-stroke engines revolve twice. This indicates that 720 crank degrees are required to complete a cycle.
How many crankshaft rotations, measured in degrees, are required to accomplish four 180-degree strokes?The four basic engine strokes—INTAKE, COMPRESSION, POWER, and EXHAUST—are presumably already familiar to you. Each stroke corresponds to 180 crank degrees, or half a crankshaft revolution. Two crankshaft revolutions, or 720°, are equal to 4 cycles times 180°.
How many cycles does a four-stroke engine have?Engines with a four-stroke cycle. An internal combustion engine with a four-stroke cycle uses the four distinct piston strokes of intake, compression, power, and exhaust to complete one operational cycle.
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2. A woman is pushing a door open. How does the magnitude of the force exerted on
the door by the woman compare to the magnitude of the force exerted on the
woman by the door?
The magnitude of the force exerted on the door by the woman is equal to the magnitude of the force exerted on the woman by the door.
What is Newton's third law of motion?Newton's third law of motion states that "For every action, there is an equal and opposite reaction." This means that when two objects interact, they apply equal and opposite forces on each other. The forces are proportional in magnitude and opposite in direction. This law helps to explain how objects react to forces and how forces result in motion
The door and the woman are interacting forces, and the magnitude of the force that each exerts on the other is equal. However, the direction of the forces is opposite. The woman is pushing the door in one direction, while the door is pushing back on the woman in the opposite direction.
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While listening to the weather channel update you hear the meteorologist say "High wind advisory! Wind expected to reach velocities upward of 30 miles per hour."
Explain why this statement is false. What information would the meteorologist need to include to accurately describe velocity? What did he describe instead of velocity?
Answer: The answer provided describes the difference between wind speed and wind velocity, and explains why a statement made by a meteorologist that only mentions wind speed is inaccurate.
Explanation:
The statement made by the meteorologist is false because wind speed and wind velocity are not the same things. Wind speed refers to how fast the wind is moving, while wind velocity refers to both the speed and direction of the wind.
To accurately describe the wind's velocity, the meteorologist would need to include both the speed and direction of the wind.
For example, if the wind is moving at 30 miles per hour from the southeast, the meteorologist could say "High wind advisory! The wind is expected to reach a velocity of 30 miles per hour from the southeast.
In the original statement, the meteorologist only described the wind's speed, not its velocity. By only mentioning the wind speed, it is unclear whether the wind is moving in a specific direction and the statement becomes inaccurate.
You climb up a ladder, which was 3.4 m in height, and fell. If your mass is 65.8 kg, how fast would your velocity be right before you hit the ground upon falling?
Answer:
Below
Explanation:
Your mass is irrelevant....here is why:
All of your POTENTIAL energy (mgh)
will be converted to KINETIC energy ( 1/2 m v^2)
so
mgh = 1/2 m v^2 divide both sides by 'm' <====then 'm' is gone !
gh = 1/2 v^2 now multiply by 2
2 gh = v^2 sqrt both sides
v = sqrt (2gh) = sqrt [ 2 ( 9.81)(3.4)] = 8.2 m/s
Calculate the de Broglie wavelength of a bullet of mass 25g moving with a velocity of 100ms −1?
The deroglie wavelength is obtained by the formulas =ph=mvh==0. 0251006 and 6261034 for a bullet with a mass of 25 gm and a speed of 100 m/s, respectively. λ=ph=mvh=λ=0. 025×1006. 626×10−34=2.
What are the definitions of frequency and wavelength?While troughs have the same wavelength, the wavelength is the distance between two wave crests. The frequency is measured in cycles per second (Hz), which is the number of vibrations that pass over a certain location in a second (Hertz).
Can you infer velocity from wavelength?Their wavelength is defined as the distance between two comparable sites on adjacent waves. The quantity of waves crossing a specific location during a defined period of time is known as the wave frequency. The relationships between the three variables are illustrated by this equation: Speed is defined as Wavelength x Frequency.
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two point masses m and m are separated by a distance d. if the separation d remains fixed and the masses are increased to the values 3m and 3m respectively, how does the gravitational force between them change?
The force of gravitational attraction increases by 9 as the two point masses increase by 3.
Gravitational force of attraction, F is the force that pulls two point masses, m and M which are separated by a distance, d.
Mathematically,
Fg = GMm/r^2
Initially,
M1 = M1
M2 = M2
The remaining parameters are unchanged.
Fg1 = G * M1 * m1/(d/2)^2
Then,
M1 = 3M1
M2 = 3M2
Fg2 = G * 3M1 * 3M2/(d/2)^2
Making the constants G/(d/2)^2 the subject of formula and then comparing both equations,
= Fg1 = (M1 * M2); Fg2 = (9 * M1 * M2)
= Fg2 = 9 * Fg1
The force of gravitational attraction increases by 9 as the two point masses increase by 3.
What is gravitational force?
Newton's cannonball is a "thought experiment" he offered that supports the idea that gravity is a fundamental force that governs planetary motion.He pretended to be a cannon on the summit of a very high mountain peak in this thinking experiment. If the cannon is fired after being filled with gunpowder, the following situations could occur.To know more about gravitational force, click the link given below:
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How does the existence of atoms explain the conservation of matter? Why do we need to use moles when we try to determine amounts of reactants and products in a reaction?
The existence of atoms explain the conservation of matter that the reaction has to be balanced.
Using moles lets us use smaller numbers in calculations.
What is moles?
Moles, or Avogadro's number, is a unit of measurement used in chemistry. It is the number of atoms, molecules, ions, or other particles in a given amount of a substance. It is equal to 6.022 × 1023 particles per mole.
1) Matter cannot be created and cannot be destroyed. But it can be changed from one form to the another.
Each atom of particular element has constant weight. In a chemical reaction, weight of the all the reactant atoms must be equal to weight of the products. This indicates the atom changes its state from one form to other. So existence of an atom explains the law of conservation of matter.
2) In a chemical reaction to estimate the amount of reactants and products, we have to consider the number of moles and not the weight .
Example
H2 + Cl2 -------------> 2HCl
In this reaction one H2 molecule reacts with one Cl2 molecule and we cannot say that one gram of H2 reacts with one gram of Cl2 molecule. Why because mass of one H2 molecule is 2grams and mass of one Cl2 molecule is 71 grams. So we can't say that 1 gm of H2 reacts with 1 gm of Cl2. Here 2 gm of H2 molecules reacts with 71 gms of Cl2 molecules. To avoid this confusion number of moles is preferable in the estimation of reactants and products.
Therefore, in conservation of matter the reaction has to be balanced and Using moles lets us use smaller numbers in calculations.
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What are the basic units of capacitance?
The unit of electrical capacitance is the farad (abbreviated F), named after the English physicist and chemist Michael Faraday.
Electrical capacitance is a property of a circuit that describes its ability to store electrical charge. It is defined as the ratio of the magnitude of electric charge stored on a conductor to the potential difference (voltage) across the conductor. Capacitance is measured in farads (F), which is a very large unit, so capacitors are typically rated in smaller units such as microfarads (µF) or picofarads (pF).
Capacitors are electronic components that are designed to provide capacitance and are commonly used in electronic circuits for a variety of applications, such as filtering, timing, and energy storage. Capacitance is determined by the geometry of the conductors, the distance between them, and the dielectric constant of the material between them. A capacitor consists of two conductors separated by a dielectric material, which can be air, paper, ceramic, or some other non-conductive material.
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what is density of water in kg m3?
The density of water at standard temperature and pressure (STP), which is defined as 0 °C (273.15 K) and 1 atm (101.325 kPa), is approximately 1000 kilograms per cubic meter (kg/m³).
This value is commonly used as a reference value for the density of liquids and is often abbreviated as 1 g/cm³ or 1 g/mL.
Temperature is a measure of the degree of hotness or coldness of an object, substance, or environment. It is a physical quantity that quantifies the average kinetic energy of the molecules in a substance or object. The unit of measurement for temperature is degrees Celsius (°C) or Fahrenheit (°F), and the international standard unit is Kelvin (K).
Temperature is an essential factor in determining the physical, chemical, and biological properties of a substance or object. It affects the rate of chemical reactions, the conductivity of materials, and the behavior of living organisms. Temperature can be measured using thermometers, which are devices that detect changes in the thermal energy of a substance or object.
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Two spheres, 1.00 kg each, whose centers are 2.00m apart, would have what gravatational force between them? (gravitational constant = 6.67×10⁻¹¹ m³ kg⁻¹ s⁻²)
The gravitational force between the two spheres of mass 1 kg will be 1.6675 × 10⁻¹¹ Newtons.
What is Gravitational force?The gravitational force could be described as a force of attraction or the attractive force which attracts all the physical forms which are having some mass. Gravitational force is by far the weakest recognized natural force on this planet.
F = Gm₁m₂/ r²
F = Gravitational force,
G = Gravitational constant,
m₁ and m₂ are the masses of the two objects,
r is the distance between the two objects.
F = Gm₁m₂/ r²
F = 6.67 × 10⁻¹¹ × 1 × 1/ (2)²
F = 6.67 × 10⁻¹¹/ 4
F = 1.6675 × 10⁻¹¹ N
Therefore, the gravitational force will be 1.6675 × 10⁻¹¹ Newtons.
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An electron moving through an electric field of 400 N/C and a magnetic field of .15 T experiences no net force. The two fields and the direction if motion are all mutually perpendicular. Calculate the speed of the electron.
Answer:
Explanation:
The force on an electron moving through an electric field is given by:
F = qE
where q is the charge of the electron, and E is the electric field.
The force on an electron moving through a magnetic field is given by:
F = qvB
where v is the speed of the electron, and B is the magnetic field.
Since the electron is experiencing no net force, the electric force must be balanced by the magnetic force. Thus:
qE = qvB
Solving for v, we get:
v = E/B
Substituting the given values, we get:
v = 400 N/C / 0.15 T
v = 2666.67 m/s
Therefore, the speed of the electron is 2666.67 m/s.
How cold does it have to be to throw water in the air and have it freeze?
Does everyone see the same side of the Moon?
No, everyone does not see the same side of the Moon. The Moon is tidally locked with the Earth, which means that it rotates on its axis at the same rate that it orbits around the Earth.
The Moon is Earth's only natural satellite, a celestial body that orbits our planet. It is the fifth-largest moon in the solar system, with a diameter of 3,474 km, about a quarter the size of Earth. The Moon's surface is covered in craters, mountains, and flat plains called maria. The Moon's gravity is about one-sixth of Earth's gravity, which allows astronauts to jump much higher and walk much more easily on its surface.
The Moon is thought to have formed around 4.5 billion years ago, shortly after the formation of the solar system. It is believed to have been created when a Mars-sized body collided with the early Earth, and the debris from the collision eventually coalesced to form the Moon. The Moon's phases are caused by its orbit around Earth, which takes about 27.3 days to complete.
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Select all the characteristics that apply to an atomic orbital.
A. Identified by a unique combination of four quantum numbers.
B. Defined by the square of the wave function (ψ2).
C. Identified by a unique combination of three quantum numbers.
D. Defined by the wave function (ψ).
E. A shell in an atom containing the valence electrons.
F. A region around the nucleus of an atom where the probability of finding an electron is high.
The characteristics that apply to atomic orbitals is, defined by the square of the wave function (ψ2), defined by the wave function (ψ), a region around the nucleus of an atom where the probability of finding an electron is high. Correct options are B, D, F.
An atomic orbital is a region around the nucleus of an atom where the probability of finding an electron is high. It is defined by the wave function (ψ) and the square of the wave function (ψ2). An orbital is identified by a unique combination of three quantum numbers, and in the case of many-electron atoms, four quantum numbers.
An orbital is not a shell in an atom containing the valence electrons, which is a different concept. Therefore, the characteristics that apply to an atomic orbital are: B, D, and F.
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the primary mirror of telescope a has a diameter of 20 cm, and telescope b has a diameter of 100 cm. how do the light gathering powers of these two telescopes compare?
The light gathering power of telescope b is 25 times that of telescope a
The light gathering power of a telescope is determined by its collecting area, which is proportional to the square of the diameter of the primary mirror.
Assuming both telescopes have the same quality of optics and are used under similar conditions, the ratio of their light gathering powers is,
(telescope b collecting area) / (telescope a collecting area)
= (telescope b diameter)^2 / (telescope a diameter)^2
= (100 cm)^2 / (20 cm)^2
= 25^2 / 5^2
= 25
Therefore, the light gathering power of telescope b is 25 times that of telescope a.
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what is product kab cosmetics mini tinted lip oil in good vibrations?
A faint splash of colour and hydration and nourishment are both provided by the "Good Vibrations" Kab Cosmetics Mini Tinted Lip Oil.
Product Kab Cosmetics Mini Tinted Lip Oil in "Good Vibrations" is a lip product that provides a sheer wash of color while also hydrating and nourishing the lips. The lip oil is formulated with a blend of natural oils, including jojoba oil, coconut oil, and vitamin E, which work together to moisturize and protect the delicate skin of the lips.
The product comes in a mini size that is convenient for on-the-go touch-ups, and the shade "Good Vibrations" is a coral-pink hue that adds a natural-looking pop of color to the lips.
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What is the specific heat of a 3.78 kg object that absorbs 678 J as the temperature increases by 4.25 K?
Answer:
Below
Explanation:
Specific heat has units of J / (kg C)
( a degree of C is the same as one K)
Sub in the values
678 J / (3.78 kg * 4.25 C) = spec heat = 42.2 J/(kg-K)
Bob is demonstrating the gravitational force on falling objects to his class. He drops an 1. 0 lb. Bag of feathers from the top of the science building. Determine velocity of the bag after falling for 3. 5 seconds assuming it has reach free fall and given the gravitational acceleration of 9. 8 m/sec2.
The velocity of the bag of feathers after falling for 3.5 seconds
is 34.3m/s.
The velocity of a falling object can be calculated using the following formula:
v = v_0 + g * t
where v_0 is the initial velocity (assumed to be zero for an object in free fall), g is the acceleration due to gravity (9.8 m/s^2), and t is the time elapsed.
The mass of the bag of feathers is not necessary for this calculation as the acceleration due to gravity is the same for all objects.
For the given case, after 3.5 seconds, the velocity of the bag of feathers can be calculated as follows:
v = 0 + 9.8 m/s^2 * 3.5 s
v = 34.3 m/s
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how does a compass use magnetism to show direction?
The magnetic field is a zone where the force is active along imaginary lines. From the south magnetic pole to the north magnetic pole, this force has an effect on all magnetized objects, such as the needle of a compass. Under the effect of Earth's magnetic field, the needle always points toward the north magnetic pole.
What is magnetism ?When magnets attract or repel one another, they exert a force known as magnetism. The movement of electric charges is what generates magnetism. Atoms are little building blocks that make up all substances. There are electrons in every atom, which are charged particles.
The main purpose of a compasses is to find direction on the ground during navigation. This functions because the Earth's magnetic field resembles that of a bar magnet. North and south are indicated by the compass needle pointing in the direction of the Earth's magnetic field.
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The following angles are given in degrees and fractions of degrees. Rewrite them in degrees, arcminutes, and arcseconds.
A. 24.2 degrees?
B. 1.56 degrees?
C. 0.1 degrees?
D. 0.01 degrees?
E. 0.001 degrees?
60 arcseconds makes 1 arcminute and 60 arcminutes makes 1 degree. This can be converted by multiplying the decimal points by 60.
24.2 degrees = 24 degrees + 0.2× 60 arcminutes= 24 degrees and 12 arcminutes1.56 degrees = 1 degree + 0.56×60 arcminutes = 1 degree + 33.2 arcminutes = 1 degree + 33 arcminutes + 12 arcseconds.0.1 = 0.1×60 = 6 arcminutes0.01 = 0.01×60 = 0.6 arcminutes = 36 arcseconds0.001 degrees = 0.001× 60 arcminutes =0.06 arcminutes = 0.06×60 = 3.6 arcsecondsSo 24.2 degrees = 24 degrees and 12 arcminutes
1.56 degrees = 1 degree 33 arcminutes and 12 arcseconds
0.1 degrees is 6 arcminutes
0.01 degrees = 36 arcseconds
0.001 degrees = 3.6 arcseconds
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A change in the average kinetic energy of the molecules of an object may best be detected by measuring a change in the object's.
Temperature. The average kinetic energy of the molecules of an object is related to its temperature.
What is kinetic energy?Kinetic energy is the energy of an object in motion. It is the energy associated with the movement of an object or particle, and it is equal to the work done by a force on an object to put it into motion. Kinetic energy is often referred to as the energy of motion and can be found in many forms, from the energy stored in objects such as a car or truck to the energy stored in the movement of electrons within an atom.
As the average kinetic energy of the molecules increases, the temperature of the object increases. Thus, a change in the average kinetic energy of the molecules of an object can be detected by measuring a change in the object's temperature.
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4. What is found in the C horizon of a soil profile?
A. Partially weathered rock
B.the subsoil layer
C. topsoil
D. Mostly humus and litter
Rock that has partially weathered can be found in a soil profile's C horizon.
What exactly do soil horizons mean?horizon: an unique layer of soil that is roughly parallel to the land surface and whose characteristics are the result of the interactions between living things and percolating water. The topsoil, for instance, is referred to as the A horizon, while the subsoil B horizons are the name given to horizons.
What is horizon level?"Eye level" and "horizon line" are frequently used interchangeably. The term "horizon line" or "eye level" refers to a physical/visual line dividing sky from land or sea. Whether viewing an object, an interior scene, or an external scene, it refers to the real height of the viewer's eyes.
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The potential (relative to infinity) at the midpoint of a square is 3. 0 v when a point charge of +q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +q?.
12V is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +q
What constitutes a potential difference?
Potential difference that might exist between any two points is the amount of work required to move a unit positive charge along any path from one point to another without accelerating in an electric field.
V = kq /r
Due to the fact that each charge in the square has the same charge and is located at an equal distance from the point, they will all result in the same potential (the distance from a corner to the center of a square is the same for every corner). Therefore, all four charges must create a potential of 3.0 V if only one charge does. In other words, the supplied potential must be multiplied by four to represent the total potential.
Required potential will be 4*3 i.e. 12V
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What were used to raise and lower boats along canals?
Answer:
Locks
Explanation:
Locks were used to raise and lower boats. They pump water in and/or out of "locked" chambers to get boats to the same level as the water.
Which of the following spectral series of hydrogen atoms is lying in a visible range of electromagnetic waves?
(A) Paschen series
(B) Pfund series
(C) Lyman series
(D) Balmer series
The spectral series of hydrogen atoms, lying in a visible range of electromagnetic waves is Balmer series. The correct answer is (D).
A series of wavelengths organised sequentially that describe light or other electromagnetic radiation emitted by energised atoms is known as a spectral series.
The Balmer series of hydrogen atoms is the spectral series that lies in the visible range of electromagnetic waves. This series corresponds to the electron transitions from higher energy levels (n>2) to the second energy level (n=2).
The visible range of electromagnetic waves includes wavelengths between 400 and 700 nm, and the Balmer series includes wavelengths within this range.
The other spectral series of hydrogen atoms, including the Paschen series (infrared), Pfund series (infrared), and Lyman series (ultraviolet), lie outside of the visible range of electromagnetic waves.
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What ocean contains the spot where 0° longitude meets 0° latitude?
The spot where 0° longitude meets 0° latitude is located in the Atlantic Ocean. This point is known as the Prime Meridian.
What is a Prime Meridian?
The Prime Meridian is an imaginary line that runs from the North Pole to the South Pole and is defined as 0° longitude. It is used as a reference line from which longitudes are measured, with longitudes to the east being positive and longitudes to the west being negative. The Prime Meridian is important because it helps to establish a global coordinate system that can be used to accurately describe the location of places on the Earth's surface. The Prime Meridian was first established by the British in 1851 and is now recognized as the standard by which the world measures longitude. It is also known as the Greenwich Meridian because it passes through the Royal Observatory in Greenwich, London, England. The Prime Meridian and the International Date Line (located at 180° longitude) divide the Earth into the Eastern Hemisphere and the Western Hemisphere.
The Prime Meridian is now widely recognized as the standard for measuring longitude, and is used by geographers, navigators, and cartographers around the world. It is also the reference point for the Greenwich Mean Time (GMT), which is the time standard used by many countries around the world, including the United Kingdom.
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The african cicada is the world's loudest insect, producing a sound intensity level of 107 db at a distance of 0. 50 m.
The sound intensity level (SIL) of the African cicada is given as 107 dB at a distance of 0.50 m.
What is sound intensity level ?To determine the sound intensity I at the distance r, we can apply the following formula:SIL equals 10 log(I/I0)
where I0, which is designated as 10(-12) W/m2, is the reference sound intensity.If we rearrange this formula to account for I, we obtain:
I equals I0 x 10(SIL/10).
Inputting the values provided yields:I = 2.00 x 10-2 W/m2 x 10(107/10) x (10-12 W/m2)
Therefore, at a distance of 0.50 m, the African cicada's sound intensity is roughly 2.00 x 10–2 W/m2.
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The sound intensity level (SIL) of the African cicada is given as 107 dB at a distance of 0.50 m.
What is sound intensity level ?To determine the sound intensity I at the distance r, we can apply the following formula:
SIL equals 10 log(I/I0)
where I0, which is designated as 10(-12) W/m2, is the reference sound intensity.
If we rearrange this formula to account for I, we obtain:
I = I0 x 10(SIL/10)
Inputting the values provided yields:
[tex]I = 2.00 \times 10^{-2} W/m^2 \times 10(107/10) \times (10^{-12} W/m^2)[/tex]
Therefore, at a distance of 0.50 m, the African cicada's sound intensity is roughly [tex]2.00 \times 10^{-2} W/m^2[/tex].
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A pressure gage and a manometer are connected to a compressed air tank to measure its pressure. If the reading on the pressure gage is 11 kPa, determine the distance h between the two fluid levels of the water filled manometer. Assume the density of water is 1000 kg/m^3 and the atmospheric pressure is 101 kPa.
Distance between the two fluid levels in the manometer is 0.00916 meters or 9.16 millimeters.
A manometer is a device used to measure pressure by comparing it to the pressure of a fluid in a column. In this case, the manometer is filled with water, and is connected to the compressed air tank alongside a pressure gauge. The pressure gauge indicates that the pressure inside the tank is 11 kPa, but the manometer measures the difference between the pressure inside the tank and the atmospheric pressure. To calculate the distance h between the two fluid levels in the manometer, we need to use the following formula:
ΔP = ρgh
where ΔP is the pressure difference, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two fluid levels.
First, we need to calculate the pressure difference between the air inside the tank and the atmospheric pressure:
ΔP = [tex]P_t - P_a[/tex] = 11 kPa - 101 kPa = -90 kPa
The negative sign indicates that the pressure inside the tank is lower than the atmospheric pressure. Next, we can plug in the values of ρ and g, which are [tex]1000 kg/m^3[/tex] and [tex]9.81 m/s^2[/tex], respectively:
[tex]-90 kPa = 1000 kg/m^3 * 9.81 m/s^2 * h[/tex]
Solving for h, we get:
h = [tex]-90 kPa / (1000 kg/m^3 * 9.81 m/s^2)[/tex] = -0.00916 m
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