The distance a waves covers in a certain length of time is known as its wave speed. The following equation relates wave speed to both wave frequency and wavelength: Wavelength x Frequency equals speed.
How does stress affect wave speed?The vertical density and tension v=FT can be used to determine the wave's speed. According to the formula v = FT, the stress would have to be raised by a ratio of 20 if the utilized was to grow by a number of the almost 20.
What makes up the tension force in a string?Tension is the force that is sent through a cable, string, or wire whenever two opposing forces pull on it. Along the full length of the wire, the tensile stress pulls energy equally only on the bodies at the ends.
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While looking at calcium (Ca) on the periodic table, a student needs to find an elRounded to the nearest whole number, how many electrons are in an atom of zirconium?
There are 40 electrons in Zr.
How many electrons are in Zr?The number of electrons in the element Zirconium (Zr) is 40. In the periodic table, Zr is located in period 4 and group 4 (also known as group IV), and it has an electron configuration of [Kr] 4d2 5s2. This means that it has two electrons in its 4d orbital and two electrons in its 5s orbital, giving it a total of 40 electrons.
We have to note that number of the protons in the nucleus would also be the number of the electrons that we can be able to find in the neutral atom.
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a rifle with a weight of 35 n fires a 5.1-g bullet with a speed of 240 m/s.(a) find the recoil speed of the rifle. m/s(b) if a 725-n man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. m/s
The recoil speed of the rifle is 0.3423 m/s.
The recoil speed of the rifle with the man is 0.0157 m/s
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction.
The mass of the rifle is = (35/9.8) kg = 3.57 kg
The mass of the man = (725/9.8) kg = 73.98 kg
Hence, the recoil speed of the rifle = 0.0051 × 240 /(3.57 + 0.0051) m/s
= 0.3423 m/s.
The recoil speed of the rifle with the man is
= 0.0051 × 240 /(3.57 +0.0051 + 73.98 ) m/s
= 0.0157 m/s
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khaled has a red toy that is painted with a special kind of paint. when he puts the toy under a desk lamp, it stays red. when he puts the toy under an infrared lamp, it turns blue. why does the infrared light cause the toy to turn blue when the light from the desk lamp does not?
Because infrared light extracts energy from the paint whereas desk lamp light does not.
What is the best explanation of energy?Energy's "ability to accomplish labor" refers to its ability to exert a force that moves an item. Despite the vagueness of the phrase, energy actually refers to the force which moves objects. The two types of energy are energy and potential energy.
How energy is made?Nearly majority of the world's energy is produced by steam turbines using carbon fuels, nuclear energy, biofuels, thermal, etc solar thermal energy. Solar photovoltaics, wind turbines, water turbines, gas turbines, and other important electricity generation technologies.
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a red car has an instantaneous acceleration of 16 m/s2 westwards while a blue car has an instantaneous acceleration of 8 m/s2 westwards. based on this information, what can be correctly stated about their motion?
The direction of the acceleration of both cars is westwards, which means that their velocity in the westward direction will increase over time.
Based on the information that a red car has an instantaneous acceleration of 16 m/s^2 westwards and
a blue car has an instantaneous acceleration of 8 m/s^2 westwards,
the following statements can be made about their motion:
The red car is accelerating at a faster rate than the blue car in the westward direction.
This means that the red car is increasing its velocity in the westward direction at a faster rate than the blue car.
The westward acceleration of the red car is double that of the blue car. This means that if both cars continue to accelerate at these rates,
the red car's velocity in the westward direction will increase at twice the rate of the blue car's velocity.
Statements are based solely on the acceleration values, and other factors such as initial velocity, distance traveled, or time elapsed could also affect the motion of the cars.
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you drive your car at a constant 60 km/h along the highway. you apply the brakes until the car slows to 40 km/h. if at that moment you suddenly release the brakes, the car tends to
The moment when we suddenly release the brakes, the car tends to continue moving at 40 kilometer per hour. Thus, the correct option is B.
What is the law of motion?Newton's laws of motion are the three basic laws of classical mechanics which describes the relationship between the motion of an object and the forces which are acting on it.
These Newton's laws of motion can be paraphrased as follows when an object remains at rest, or in the motion at a constant speed in a straight line path, which are unless acted upon by a force.
Newton's law of motion states that an object at rest will remain at rest and a body in motion will remain in motion unless and until an external force is applied.
Therefore, the correct option is B.
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Your question is incomplete, most probably the complete question is:
You drive your car at a constant 60 km/h along the highway. You apply the brakes until the car slows to 40 km/h. If at teh moment you suddenly release the brakes, the car tends to:
A) decreases in speed if no other forces act
B) continue moving at 40 km/h
C) momentarily regain its higher initial speed
a block of 20 kg is pushed by a force of 40n for 4 m across a frictionless surface. the block was initially at rest before the force was applied. what is the work done by gravity?
A block weighing 20 kg is propelled along a frictionless surface for 4 meters by a force of 40n. Before the force of 5m/s2 was applied, the blocks was initially at rest.
Given a force as well as the distance it is applied over, how can you determine the jobs done on an object?Work = Force Distance is the formula for calculating work. The joule (J), sometimes known as the Newton meter (N m), is the Si derived unit for work. When an object is moved across a distance of one meter with 1 N of force, one joule is equal to the amount of labor that is accomplished.
Examples of the second law of motionAccording to Newton ’s 2nd Law of Motion, when a force applies on an object, it accelerates (gains speed).A nice example of such a law of motion in action is when you are riding your bicycle. Your bicycle makes up the bulk. The force is generated by your leg muscles as they press against the bicycle's pedals.
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when this string vibrates at its fundamental frequency, it causes the air in a nearby stopped organ pipe to vibrate at that pipe's fundamental frequency. the speed of sound in the pipe is 344 m/s . what is the length of this pipe?
The speed of waves on this string of bass viol is 277.7m/s and the length of the second pipe is 1.04m.
Given the length of the bass viol is (L1) = 0.690m
The fundamental frequency of the bass viol is (f1) = 165Hz
Let the speed of waves on this string = v1
We know that frequency = speed/2 x length of pipe such that: f= v/2L
Then, v1 = f1 x 2 x L1 = 165 x 2 x 0.690 = 227.7m/s
Hence the speed of waves in string of bass viol is 227.7m/s
Given the speed of sound in second pipe (v2) = 344m/s
The frequency in second pipe = 165Hz
Let the length of second pipe = L2
The speed of sound in the pipe multiplied by the frequency of the string gives the length of the pipe:
f2 = v2/2L2
Then, L2 = v2/ 2 x f2
L2 = 344 / 2 x 165 = 1.04m
Hence the length of second pipe = 1.04m
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complete question: One of the strings of a bass viol is 0.690 m long and has a fundamental frequency of 165 Hz. What is the speed of waves on this string? When this string vibrates at its fundamental frequency, it causes the air in a nearby stopped organ pipe to vibrate at that pipe's fundamental frequency. The speed of sound in the pipe is 344 m/s. What is the length of this pipe?
if the internal wall is now made diathermal and the system is allowed to come to equilibrium, what are the internal energies of each of the individual systems?
What will be the internal energy of each separate system if the inner wall is now rendered diathermal and the unit is allowed to reach equilibrium
Describe smart energy.
With a focus on the design, analysis, planning, and modeling of smart energy systems, Smart Power is an international, multidisciplinary publication. The magazine wants to be a powerful platform and a reliable source of knowledge on how to reform energy demand and supply systems to be more environmentally friendly.
Energy Journal: What is it?
An international, interdisciplinary journal of electrical and electronic engineering and research is called Energy. The journal aspires to be a premier venue for peer review and a reliable source of data for analyses, reviews, and evaluations of energy-related topics. The journal publishes work in mechanical research. ... Reinhard Haas Benhard Sebastian Zwickl
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what would be the mass of a truck if it is accelerating at a rate of 5 m/s2 and hits a parked car with a force of 14,000 n?
The mass of the truck is 2800 kg if it is accelerating at a rate of 5 m/s² and hits a parked car with a force of 14,000 N.
What does second law of Newton state?The Second Law of Newton states that the acceleration of an object is directly proportional to the net force applied to it, and inversely proportional to its mass.
Where is the concept of second law of Newton used?The Second Law of Newton is used in many areas of physics and engineering to comprehend and predict the motion of objects under the influence of forces like Aerospace engineering, Robotics, Structural engineering, Mechanics, etc.
We can the mass by using:
F = m × a
where F is for force, m is for mass, and a denotes acceleration.
m = F / a
= 14,000 N / 5 m/s²
= 2800 kg
So the mass of the truck is 2800 kg if it is accelerating at a rate of 5 m/s² and hits a parked car with a force of 14,000 N.
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Cities can reduce earthquake damage by
atleast 3 examples
Cities can reduce earthquake damage by identifying hazards, building safer structures, and providing education on earthquake safety.
What is earthquake?A abrupt release of energy in the Earth's lithosphere that results in seismic waves causes an earthquake, which is the shaking of the planet's surface.
Earthquakes can range in strength from those that are so small that no one can feel them to those that are powerful enough to throw things and people into the air, destroy vital infrastructure, and devastate entire cities. The number, kind, and size of earthquakes that occur in a region over a specific time period is known as its seismic activity.
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two twins make a round-trip journey from earth to a star that is 12 light-years distant. alice travels at a speed of 0.6c. bob departs 10 years after alice and travels at a speed of 0.8c. (a) show that the two twins arrive back on earth at the same time. (b) which twin is the younger when they return?
A)To show that the two twins arrive back on earth at the same time, we can use the time dilation formula: t' = t / sqrt(1 - v^2/c^2).
B) Alice is older than Bob when they return to Earth.
Let's use Earth as the observer at rest, and assume that the journey takes 24 years (12 years to the star and 12 years back). Then, Alice travels at a speed of 0.6c for the entire journey, so her time is dilated by a factor of:
t'_Alice = t / sqrt(1 - 0.6^2)
t'_Alice = 24 / sqrt(1 - 0.6^2)
t'_Alice = 40 years
Bob departs 10 years after Alice, so his journey takes 22 years (10 years to the star and 12 years back). He travels at a speed of 0.8c for the entire journey, so his time is dilated by a factor of:
t'_Bob = t / sqrt(1 - 0.8^2)
t'_Bob = 22 / sqrt(1 - 0.8^2)
t'_Bob = 40 years
Let's use Earth as the observer at rest again. For Alice, we have:
t_Alice = t'_Alice * sqrt(1 - 0.6^2)
t_Alice = 40 * sqrt(1 - 0.6^2)
t_Alice = 32 years
For Bob, we have:
t_Bob = t'_Bob * sqrt(1 - 0.8^2)
t_Bob = 40 * sqrt(1 - 0.8^2)
t_Bob = 15 years
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Does REM sleep happen every 90 minutes?
Your sleep cycles between REM & NREM sleep around every 90 minutes throughout an average night. Approximately 25% of sleep time is spent in the REM period.
Does REM sleep begin every 90 minutes?In most cases, you need to be asleep for roughly 90 minutes before you enter a Melatonin production state. REM periods lengthen during the night, but notably in the second half. The initial stage of REM sleep may only last a few minutes, while later stages might endure for up to an hour.
What does the 90-minute sleeping guideline entail?The goal is to set your bedtime to coincide with your 90-minute sleep cycles so that you awaken feeling more rested after having experienced REM sleep, which is when we have organized dreams.
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Why do we find it more difficult to recognize inverted faces than other inverted objects?
Because The FFA responds to upright faces more than inverted faces, indicating that inverted faces are not perceived in the same way that upright faces are.
Are people better at Recognising upright or inverted faces?According to the face(UI) effect, perception and recognition are better for upright (U) faces than for inverted ones (I). According to the face/object(UI) effect, inversion inhibits face processing more than nonfacial object processing (e.g., buildings or cars).The fusiform face area (FFA) is a brain region situated in the fusiform gyrus with an unknown function. Some experts suggest that the FFA evolved to aid with face perception. Others believe the FFA can distinguish between any familiar stimuli.
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a block released from rest at position a slides with negligible friction down an inclined track, around a vertical loop, and then along a horizontal portion of the track, as shown above. the block never leaves the track. the gravitational potential energy and the kinetic energy of the block are most nearly equal at which position? (consider the potential energy to be zero at position b.)
The block's gravitational potential energy and kinetic energy are approximately identical at location C.
The block has maximum potential energy at position A since it has been freed from rest, but no kinetic energy. The block's potential energy is converted to kinetic energy when it slides down the inclined track. The block has transformed all of its potential energy into kinetic energy by the time it reaches position C. At this stage, the block's gravitational potential energy and kinetic energy are approximately equal.
The block then loops around the vertical loop, gaining potential energy once more. It will lose some potential energy as it travels along the horizontal part of the rail, but the gravitational potential energy and kinetic energy of the block will not be equal again until the block reaches position B.
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Josif is a pharmacy technician who is having a professional conversation with another staff member of the hospital. Who might Josif be interacting with? Select all that apply.
could a material exist that has a coefficient of zero for thermal expansion? describe the requirements for such a material at an atomic level.
Yes, it is possible for a material to have a thermal expansion coefficient of zero.
The individual atoms that make up a material must expand and contract in a perfectly symmetrical manner when subjected to thermal energy in order for the material to have a coefficient of zero for thermal expansion. For the atoms to expand and contract by the same amount in response to the same amount of thermal energy, they must have precisely symmetrical bonding connections. In addition, despite the temperature fluctuation, the material's lattice structure must hold steady.
Thermal expansion: The process by which an object enlarges as its temperature rises is known as thermal expansion. It is a typical occurrence that happens in a variety of substances, including liquids, gases, ceramics, metals, and plastics. When a material's temperature rises, the molecules inside it obtain kinetic energy and begin to move farther apart, which leads to thermal expansion. The volume and size of the substance expand as a result of the wider spacing between the molecules.
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If an object is accelerating toward a point, then it must be getting closer and closer to that point.A) TrueB) False
This statement is False, It is not true for every object to come closer to appoint if it is accelerating towards a point.
For example acceleration due to gravity acts on every object but it doesn't take the object closer to Earth as time goes.
In mechanics, acceleration is the rate of change of the rate of an item with admire to time. Accelerations are vector quantities (in that they have significance and path). The orientation of an item's acceleration is given by the orientation of the net pressure performing on that object. The magnitude of an item's acceleration, as described through Newton's 2d law, is the blended impact of two causes:
The internet balance of all external forces performing onto that item — importance is at once proportional to this net resulting force;
That object's mass, relying at the substances out of which it's miles made — magnitude is inversely proportional to the item's mass.
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select all attractive forces that contribute to creating a solution of kbr in h2o?
a. Ion-dipole
b. London dispersion
c. H-bonding
d. Dipole-Dipole
The two attractive forces (a) Ion-dipole and (d) Dipole-dipole are all involved in the formation of a solution of kbr in water.
What is H2O full form?Water is most frequently used for drinking purposes. Two moles of hydrogen and one mole of oxygen make up dihydrogen monoxide, which is what it is. The object is liquid and is at room temperature. Water's chemical formula is H2O, which means that each of its molecules consists of two hydrogen atoms and one oxygen atom.
Can humans breathe H2O?Because of the limited surface area of our lungs and the fact that the lining of our lungs is designed to handle air rather than water, humans are unable to breathe underwater. There are people (Bajau Laut, sea nomads) that can hold their breath underwater for longer periods of time (up to a few minutes). Biologically speaking, it is not possible to adapt (or devolve) to living underwater in a short amount of time.
Ion-dipole interaction: This is the association of a polar solvent molecule with a solution ion (K+ or Br-) (H2O). An ion-dipole interaction occurs when an ion's positive or negative charge attracts the solvent molecule's partial positive or negative charge.
The polar solvent molecules (H2O) in the solution engage in a dipole-dipole interaction. A dipole-dipole interaction occurs when one solvent molecule's partial positive charge is drawn to another solvent molecule's partial negative charge.
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what is energy? choose the best answer.question 6 options:anything that radiates light or heat.anything that travels in the form of a wave.any object in motion.anything that makes matter move or change.
The best answer for what energy is is: "anything that makes matter move or change."
Energy can be defined as the ability to do work or the capacity to cause change. Energy can take many forms, including heat, light, mechanical, electrical, and chemical energy. It can cause matter to move, change its state, or undergo other transformations. Energy is a crucial concept in physics and is fundamental to many natural and technological processes.
In physics, energy is a scalar quantity and is measured in units of joules (J) in the SI system. Energy is an important factor in the behavior of matter and in many natural and technological processes. For example, the energy stored in the bonds between atoms and molecules drives chemical reactions, the energy of light drives photosynthesis in plants, and the sun's energy drives the Earth's climate system.
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the value of radio and infrared astronomy is partly based on the fact that light at these wavelengths can travel through cosmic clouds of gas and dust without being absorbed. that means astronomers can observe phenomena in our galaxy and in other galaxies that otherwise would be hidden from view at optical and shorter wavelengths. radio emission at centimeter-to-meter wavelengths can be effectively observed from the ground. what are other unique characteristics of radio astronomy within this wavelength range?
Radio astronomy can detect faint sources of radiation that optical astronomy cannot detect. Radio astronomy can measure the rotational velocities of stars and galaxies.
Radio astronomy can measure the magnetic fields in stars and galaxies. It can detect the expansion of the universe. Also can measure the temperature of interstellar gas clouds and the composition of interstellar clouds. Radio astronomy can detect high-energy particles, such as cosmic rays. Beyond the red end of the visible spectrum, near-infrared and mid-infrared wavelengths are detected by the James Webb Space Telescope. The electromagnetic energy spectrum is depicted in this infographic, with a focus on the regions that NASA's Hubble, Spitzer, and Webb space observatories have been able to see.
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If the radius of the circular path is doubled, what happens to the velocity of the object?
The object's centripetal acceleration will be halved if the size of the ring route is doubled while maintaining a constant radial velocity.
How does velocity get its name?Thus, velocity is measured in metres per second, or m/s. The metric speed unit is the metre per s (m/s). A different way to describe velocity magnitude is in centimeters per second (cm/s).
Does velocity correspond to speed?Velocity is the pace and orientation of an item's movement, whereas pace is the forecasting which a thing is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.
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you want to make sure your incubator is operating at correct temperature of 37* c, so you place a thermometer inside the incubator and check it every hour for five hours. you record readings of 36.9, 37.1, 37 and 37,1. is this an accurate, precise, or both......
Placing a thermostat within the incubator and checking it every hour after five hours will ensure that it is working at the proper temperature of 37 C.
The incubator is set to 37 degrees; why?Incubators are essential in clinical laboratories because temperature is a crucial physicochemical component that impacts the bacterial habitat. Temperatures between 35 and 37 degrees Celsius are ideal for human diseases to proliferate.
At 37 degrees, do eggs hatch?Eggs may hatch if the temperature is between 35 and 40.5°C (84.5 and 104.9°F). The ideal temperature (for hen) was 37.5 °C (99.5 °F), and temperatures above this point result in a reduced hatch and a rise in the number or crippled and malformed chicks. No eggs will survive temperatures over 40.5 °C (104.9 °F).
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the electric motor of a model train accelerates the train from rest to 0.540 m/s in 17.0 ms. the total mass of the train is 540 g. find the average power delivered to the train during its acceleration.
The average power delivered to the train during its acceleration is 8.741 W.
The average power delivered to the train can be calculated using the equation:
P = (delta_KE) / delta_t
Where delta_KE is the change in kinetic energy of the train and delta_t is the time interval over which the acceleration occurs.
The change in kinetic energy can be calculated using the equation:
delta_KE = 0.5 * m * v^2
Where m is the mass of the train (540 g) and v is the final velocity (0.540 m/s).
Plugging in the values, we get:
delta_KE = 0.5 * 0.540 kg * 0.540 m/s^2 = 0.148 J
And the average power can be calculated as:
P = delta_KE / (17.0 * 10^-3 s) = 8.741 W
So the average power delivered to the train during its acceleration is 8.741 W.
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Explain how static electricity works in at least three complete sentences. Remember to use proper
grammar and mechanics when writing your sentences.
When two objects are rubbed on their surfaces, one gets negatively charged. This polarization causes, the flow of electrons to the positive pole of another object is called the static electricity.
What is static electricity ?Static electricity is the flow of electrons that occurs due to the temporary polarization of two bodies. When a conducting surface rub on other surface, they gets electrons by frictional force.
These free flow of electrons make them negatively charged. When this negatively charged body comes in contact with a non conducting surface they latter gets polarized by the electrons of negatively charged body.
The positive charges of the nonconducting surface gets attracted to the negative body and the electrons flow from the negatively charged body to the partially polarized positive body. This is called static electricity.
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the purpose of the focusing cup is to a. produce thermionic emission from the filament b. prevent thermionic emission from the filament c. allow the electrons to spread out d. keep the electrons together
The purpose of the focusing cup in an electron gun is to D: keep the electrons together.
The focusing cup is an electrode that is positioned near the filament and is negatively charged. It creates an electric field that converges the electrons emitted from the filament, directing them into a tight beam. This helps to maintain the electrons' energy and direction, which is important for applications such as electron microscopy, where a focused beam of electrons is required to produce high-resolution images.
By keeping the electrons together, the focusing cup helps to improve the quality of the electron beam, making it more useful for various applications.
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which stone spends more time in the air? (neglect air resistance.)view available hint(s)for part awhich stone spends more time in the air? (neglect air resistance.)the stone thrown upward spends more time in the air.the stone thrown downward spends more time in the air.both stones spend the same amount of time in the air.
Both stones spend the same amount of time in the air if air resistance is neglected. The time spent in the air is determined by the vertical motion of the stone, which is governed by the acceleration due to gravity (g).
Vertical motion refers to the movement of an object along the vertical axis, either upwards or downwards. It can be described by using the variables of height, velocity, and acceleration. Height refers to the distance between the object and the reference point, such as the ground. Velocity is the rate of change of height and acceleration is the rate of change of velocity.
Vertical motion is an important concept in physics and is widely used in various fields such as ballistics, space travel, and amusement park rides. Understanding vertical motion allows us to predict the motion of objects and make calculations related to height, velocity and acceleration.
There are different types of vertical motion such as projectile motion, where an object is thrown or fired at an angle and falls back to the ground under the influence of gravity. Another type of vertical motion is free-fall, where an object is dropped or falls vertically without any external forces acting on it.
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Is the acceleration due to gravity on the moon is 1.62 m s2?
Yes, the acceleration due to gravity on the moon is approximately 1.62 m/s^2. This is significantly lower than the acceleration due to gravity on Earth, which is approximately 9.8 m/s^2.
Why moon has lower acceleration due to gravity than the earth?The moon has lower acceleration due to gravity than Earth because it has a smaller mass and lower density. Since the moon is smaller and less dense than Earth, it has a weaker gravitational pull and therefore a lower acceleration due to gravity.
Can we walk on the moon?Yes, it is conceivable that we can walk on the moon. The moon has a very weak gravitational pull, which is approximately one-sixth of the Earth's gravity. This means that a person weighs about one-sixth of their weight on Earth on the moon.
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the winding in a generator where voltage is induced is called the ? . select one: a. armature b. commutator c. exciter d. slip ring clear my choice
The correct option is A, The winding in a generator where voltage is induced is called the armature.
Armature refers to the component of an electrical machine that carries the current that generates the magnetic field. It is a cylindrical component made up of wire coils, placed around a magnetic core, which rotates within a stationary magnetic field to produce electrical power. In electric motors, the armature rotates as a result of the interaction between the magnetic field generated by the armature and the magnetic field generated by the permanent magnets or windings in the stator.
In generators, the armature rotates in response to an external force, such as wind, steam or water, and the magnetic field interaction with the wire coils induces a current flow. The armature is one of the most critical components of an electric machine, as it determines the output power, efficiency and reliability of the machine. In summary, the armature is an essential component that converts mechanical energy into electrical energy or vice versa in electrical machines.
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a wire carrying a 28.0 a current passes between the poles of a strong magnet such that the wire is perpendicular to the magnet's field, and there is a 2.35 n force on the 2.00 cm of wire in the field. what is the average field strength (in t) between the poles of the magnet?
The average field strength between the poles of the magnet is 5.56 T.
To find the average field strength between the poles of the magnet, we can use the formula for magnetic force:
F = BIL
Where F is the magnetic force, B is the magnetic field strength, I is the current, and L is the length of the wire in the field.
We know the force (2.35 N), current (28.0 A), and length of the wire in the field (2.00 cm), so we can rearrange the formula to find the magnetic field strength:
B = F / IL
B = 2.35 N / (28.0 A * 0.02 m)
B = 5.56 T
So the average field strength between the poles of the magnet is 5.56 T.
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what is the sound intensity level at a distance of 15.8 m from the lion? assume that intensity obeys the inverse-square law.
The intensity level at 15.8 m from the lion is 0.456 DB.
The decibel, dB, is commonly used to quantify sound levels, although it is not a unit of sound, but a unit of pressure. The decibel is a logarithmic unit that indicates the ratio if a physical quantity to a reference level.
The intensity in decibels is inversely proportional to the square of the distance.
[tex]\dfrac{I_2}{I_1} = \dfrac{D_1^2}{D_2^2}[/tex]
At 1.00 meter the sound intensity level is, 114 dB.
Using [tex]D_2 = 15.8\ m[/tex], 1.00 m for [tex]D_1[/tex], 114 dB for [tex]I_1[/tex], the intensity level, [tex]I_2[/tex] at 15.8 m is,
[tex]\dfrac{I_2}{114} = \dfrac{1^2}{15.8^2}[/tex]
The intensity level at 15.8 m is 0.456 DB.
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--The complete question is, A lion can produce a roar with a sound intensity level of 114 dB at a distance of 1.00 m. What is the sound intensity level at a distance of 15.8 m from the lion? Assume that intensity obeys the inverse-square law.--