Answer: Angular velocity of the front sprocket is half of the rear sprocket's angular velocity
Reason:
Angular velocity is the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes.
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what is the minimum energy required for the craft to leave the orbit and escape the moon’s gravitational field?
The correct answer is 202035.8 x 10⁵ J.
If M be mass of moon and m be mass of spacecraft
potential energy of moon -spacecraft system
= - G M m / R where R is radius of orbit of spacecraft
kinetic energy of spacecraft in the orbit
= 1/2 m v² = GMm / 2R
Total energy of spacecraft
= GMm / 2R - G M m / R
= - GMm / 2R
for spacecraft to leave the orbit, energy required
= GMm / 2R
= 6.67259 x 10⁻¹¹ x 7.36 x 10²² x 14800 / (2 x 1.79877 x 10⁶)
= 202035.8 x 10⁵ J .
Therefore, the minimum energy required to leave the orbit is 202035.8 x 10⁵ J.
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: When it orbited the Moon, the Apollo 11 spacecraft’s mass was 14800 kg, and its mean distance from the Moon’s center was 1.79877 × 106 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass 7.36 × 1022 kg. Given the gravitational constant G is 6.67259 × 10−11 N m2 /kg2 , what is the minimum energy required for the craft to leave the orbit and escape the Moon’s gravitational field?]
two particles are separated by a certain distance. the force of gravitational interaction between them is f0 . now the separation between the particles is tripled. find the new force of gravitational interaction f1 . express your answer in terms of f0 .
According to the given statement the force would be F0=9×F1.
What does the term "gravitational" mean?involving or pertaining to the attraction between two components: Ocean tides rise and fall due to the moon's gravitational pull. of or pertaining to a strong inclination or movement in the direction of something or someone: There has been a lot of research on why they gravitate toward harmful conduct.
What is gravitational force, for instance?The force that now the earth applies to a body is referred to as gravitational force. The downhill and upward motion with water in rivers and streams, as well as the upward motion of something like a ball when it's thrown, are examples of motion brought on by gravitational force.
Briefing:Isaac Einstein's universal law general gravitational is the formula that describes the attraction forces between two masses (m) that are separated from one another by a distance (r) (F=Gmm/r2).
Using the values listed in the question as a guide:
F0= Gm₁m₂÷r²
F1=Gm₁m₂÷(3r)²
We obtain by dividing F0 but also F1:
F0=9×F1
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Nuclear decay occurs according to first-order kinetics. A nuclide decays in 3. 40 days from 45. 0 g to 12. 1 g. What is the rate constant for the nuclide?.
The equilibrium law for the nuclide is 0.388 days per one, according to the announcement.
By nuclide, what do you mean?Because nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment, we can perform similar calculations using the half-lives of isotopes to estimate the ages of geological and archaeological artifacts.he fundamental difference between zero and first-order kinetics is their elimination rate compared to total plasma concentration. Zero-order kinetics undergo constant elimination regardless of the plasma concentration, following a linear elimination phase as the system becomes saturatedThe first-order radioactive decay law states that the rate of decay (number of disintegrations per second) is proportional to the number of radioactive atoms (N) present at that time t. N = No e-λt.The amount of protons, protons, and the activity state of nucleus determine the species of atom known as a nuclide, also known as a nuclear species. Thus, a nuclide is identified by its number of protons and mass number (A) (Z).A nuclide is similar to but distinct from an atom or a nucleus. It has several nucleons, which define it. Nuclide, to put it simply, is a type of atom or nucleus. We characterize it using the elements that make up its nucleus, as well as the quantity of protons, neutron, and energy.One-half of 24 grams is 12 grams, so 12 grams remained after the first 12 minutes.To learn more about Nuclide refer to:
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Suppose the camera shop in exercise 4 can obtain at most ten a76 batteries but can get at least 30 of each of the other types.
A. How many ways can a total inventory of 30 batteries be distributed among the eight different types? B. Supposed that in addition to being able to obtain only ten A76 Batteries, the store can get only of type D303. How many ways can a total inventory of 30 batteries be distributed among the eight different types?
a) Total inventory of 30 batteries distributed among the eight different types is 1,02,95,472 ways.
b) total inventory of 30 batteries to be distributed among the eight different types in addition to being able to obtain only ten A76 Batteries is 8,88,030 ways.
Given that:
Camera shop stocks have 8 different types of batteries
one of which is A76
Assume that there are at least 30 batteries of each type.
a).
The camera shop stocks 8 different types of batteries and there are at least 30 batteries of each kind.
a) We want to select r = 30 batteries from the n = 8 kinds of batteries
The number of ways a total inventory of 30 batteries is distributed is :
[tex]\\= {}^{n+ r -1} C_r = {}^{30+ 8 -1} C_{30}\\\\= {}^{37} C_{30} = \frac{37!}{30! (37-30)!} \\\\=\frac{37!}{30! \;*\;7!} \\\\=\frac{37 \times 36 \times 35\times 34 \times 33 \times 32 \times 31 \times 30!}{30! \;*\;7 \times6 \times5 \times4 \times3 \times2 \times1} \\\\=\frac{37 \times 36 \times 35\times 34 \times 33 \times 32 \times 31 }{7 \times6 \times5 \times4 \times3 \times2 \times1} \\\\= 1,02,95,472 \;\;ways[/tex]
b).
Assuming that we first select 10 A76 batteries, we need to determine how many ways we can select the remaining [tex]r = 30 - 10 = 20[/tex] batteries from the n = 8 kinds of batteries.
[tex]\\= {}^{n+ r -1} C_r = {}^{20+ 8 -1} C_{20}\\\\= {}^{27} C_{20} = \frac{27!}{20! (27-20)!} \\\\=\frac{27!}{20! \;*\;7!} \\\\=\frac{27 \times 26 \times 25\times 24 \times 23 \times 22 \times 21 \times 20!}{20! \;*\;7 \times6 \times5 \times4 \times2 \times2 \times1} \\\\=\frac{27 \times 26 \times 25\times 24 \times 22 \times 22 \times 21 }{7 \times6 \times5 \times4 \times2 \times2 \times1} \\\\= 8,88,030 \;\;ways[/tex]
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1. Below is a V-T cooling curve for a good glass former that is cooled from the liquid state at a fixed cooling ramp of 10°C/min. The letters on the ordinate correspond to reference temperatures on the cooling curve. Tm is the melting (or liquidus) point. Volume A + B + Tm F C D Temperature a) Which segment (as defined by the reference temperature range) of the cooling curve (if any) is most likely at thermodynamic equilibrium and why? (Specify the letters that correspond to endpoints of the cooling curve. That is, if your team argues that the entire cooling curve corresponds to thermodynamic equilibrium then the answer is "A-F"). Which range corresponds to metastableequilibrium (if any) and why? Which range is not at equilibrium? b)Which temperature or temperature range corresponds to the glass transition point or range? c) Sketch a cooling curve for the case where the liquid is cooled ay a ramp of (i) 20°C/min and (ii) 5°C/min. Describe the qualitative differences with the base curve of 10°C/min. d) Sketch likely V-T curves upon reheating the glass from temperature A to F for two cases, at (i) 20°C/min and (ii) 5°C/min. Describe the differences between the two cases and why. e) What happens to the glass if the cooling ramp is interrupted at temperature D and held?
The thicker the glass, the slower the ramp speed. The temperature must increase or decrease slowly enough that the surface of the glass is not so.
Temperature is a bodily quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.
And it's by far one of the freshest locations in the world partly because its excessively steep valley partitions trap hot air within the valley floor instead of freeing it. because the sun reheats air hundreds, dying Valley's temperature will increase.
It's miles usually held that the maximum temperature at which humans can continue to exist is 108.14 degrees Fahrenheit or forty-two.3diploma Celsius. A better temperature may denature proteins and purpose irreparable harm to the mind. actually put, the human body can become a scrambled egg.
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when looking through the telescope of a particular instrument after focusing, an observer finds that if the eye is shifted slightly, the cross hairs appear to move with respect to the object being sighted. what is the cause of this effect and what should be done about it?
When the eye is slightly moved in any direction after concentrating, the crosshairs should appear to pass over the item observed. If they don't, parallax is present.
If accurate work is to be done, this effect must be removed by refocusing the objective lens, the eyepiece, or both.
The apparent displacement or difference in the apparent direction of an object as observed from two different positions other than those directly across from the object is known as parallax. the angle between two locations on the earth's orbit where a celestial body's orientation is measured.
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in which exoplanet system (or systems) would we receive light from the star with the largest doppler shift?
The star with the highest doppler shift would be the source of light for the System B extraterrestrial system (or systems).
To put it simply, what is an exoplanet?Any planet outside of our universe is an exoplanet. The majority of exoplanets circle other stars, while rogue planets—free-floating exoplanets that are unattached to any star—orbit the galactic center.
The Milky Way contains exoplanets:The majority of the exoplanets found so far are in the Milky Way, which is a rather tiny area of our galaxy. (Within hundreds of light years of the solar system, small means). Modern telescope have only been able to look that far.
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The complete question is-
In which exoplanet system (or systems) would we receive light from the star with the largest doppler shift?
Select one or more:
(A). System A
(B). System B
(C). System C
(D). System D
The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is?.
The amount of air drag on an 0. 8n flying squirrel dropping vertically at terminal velocity is 0.8 N.
What speed is terminal velocity?The speed that an object reaches when it freely falls through a gas or liquid is known as the terminal velocity. A parachutist who waits to open the chute will typically reach a terminal velocity of around 150 miles per hour (240 km/h). A mist of minute oil droplets settles with an incredibly low terminal velocity, whereas raindrops fall at a considerably lower terminal velocity. An object compelled to go faster than its terminal velocity will slow down to this constant velocity upon release; an object dropped from rest will increase its speed until it achieves terminal velocity.Therefore, an object reaches terminal velocity when its speed is no longer growing or decreasing and its acceleration (or deceleration) is zero.To learn more about velocity, refer to
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what are the luminosity class and spectral type of a star with an effective temperature of 5000 k and a luminosity of 100 lsun?
K type. A giant star is a star with a luminosity class + spectral type of 100 lsun and an absolute temperature of 5000 k.
What exactly is a star's luminosity?The total quantity of energy emitted by a star or other astronomical object each second is expressed as luminosity, or L. Therefore, this is how much power a star produces. The bolometric luminosity of a star is the total power production at all wavelengths.
What is an illustration of luminosity?Something's luminosity refers to its capacity to emit light or to reflect light. A big, sparkling diamond's brightness is its most distinguishing feature. You might use the word "luminosity" to describe a vivid and colorful oil painting or to praise the brilliance of a sunset.
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an outside loudspeaker (considered a small source) emits sound waves with a power output of 102 w. (a) find the intensity 12.4 m from the source.
The intensity 12.4 m from the source is 0.0527 W/m²
How to calculate the intensity 12.4 m from the source?According to physics, sound is a vibration that moves as an acoustic wave across a transmission medium like a gas, liquid, or solid. In terms of human physiology and psychology, sound is the brain's receipt of these waves and its perception of them.
The pattern of disruption caused by energy moving through a medium as it propagates away from the source of the sound is known as a sound wave. Sound waves are pressure waves that are created when an object vibrates, such as a ringing phone.
Given ,
I = P/A
= P/4πr²
=102w/4π(12.4)²
= 0.0527W/m²
Therefore the intensity 12.4 m from the source is 0.0527 W/m²
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a train is moving at a speed of 65 mph. the ticket collector is walking 2 mph toward the rear of the train. how fast, in mph is the ticket collector moving from the point of view of an observer on the side of the tracks?
On the side of the tracks, the ticket collector is traveling at a speed of 63 mph.
In physics, what is the speed?The rate at which the position of an object changes in any direction. Speed is defined as the relationship between a distance and the time it takes to travel that distance. Speed is a scalar quantity because it only has a direction and no magnitude.
The speed of an object can be determined by calculating the distance it covers in a given amount of time. For instance, if a car travels 70 miles in an hour, it is doing so at a speed of 70 miles per hour.
Vt,g = Vt,T + `VT, g
Vt,T = -2mph VT, g = 65mph
Vt,g = -2 mph + 65mph = 63 mph.
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suppose you were to find all of the angles 8 at which two very narrow slits separated by a/2 would produce minimum. how would this set of angles be different from the set of angles given by your equation in part iii above?
The set of angles given by the equation in Part III is the set of angles at which the maximum intensity of light is produced.
What is intensity?
In physics, the power transmitted per unit area is known as the intensity as well as flux of radiant energy, where the area has been measured on a plane parallel to the direction of the energy's propagation. Kw per square metre (W/m2) and kilogrammes per square metre (kg/s3) are the units used in the SI system. With waves like acoustic waves (sound) as well as electromagnetic waves like light or radio waves, intensity is most frequently used to describe the average power transfer above one period of the wave. Other situations where energy is transmitted can also be described in terms of intensity.
The set of angles at which two very narrow slits separated by a/2 would produce minimum would be different. This set of angles would be the angles at which destructive interference occurs, which is 180° apart from the angles at which constructive interference occurs.
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draw the process and control scheme for this system if a constraint controller is used, such that when the smaller of two parallel control valves reached 100%, then the controller output is routed
Method controllers hold the output of manner variables inclusive of temperature, stress, float, or degree inside a pre-set range.
Manner controllers keep the output of gadget variables at the side of temperature, pressure, drift, or diploma internal a pre-set range. They use comments from sensors to pick out any deviation from a setpoint and robotically modify output until.
Parameters are lower back within range.
The task of a constraint manipulate scheme is to push a goal variable as far as possible in the preferred course. With distinct phrases, The intention variable shall attain is relying at the purpose maximum or minimum price with out violating some different obstacles.
Constraints are used to restriction the kind of facts that could go proper right into a table. This guarantees the accuracy and reliability of the records within the table. If there can be any violation among the constraint and the information movement, the movement is aborted. Constraints may be column stage or table stage.
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suspended matter that floats in the air, such as ash, soot, mold spores, and road dust, is known as particulates. t/f
Yes, it is true that suspended matter that floats in the air, such as ash, soot, mold, spores ane road dust, is known as particulates.
Particulate can be defined as a particle which is extremely small in size and his suspended in the atmosphere.
The particles of dust, ash, soot, mold, spore and road dust are some of the particle which are very small in size and comes into the category of particulate.
This particulate matters adds up to the air pollution of the atmosphere.
This is why we can conclude that the statement given to us is completely true.
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the names of several eras that are used to descried the history of the universe. Rank the eras from left to right in the order in which they occurred from first to last.
1. era of nucleosynthesis - fusion created helium nuclei
2. particle era - protons, neutrons both common
3. era of nuclei - H, He nuclei and electrons existed, but no neutral atoms
4. era of atoms - neutral atoms existed, but not stars
5. era of galaxies - stars and galaxies common
6. Planck era - all 4 forces operated as one
7.electroweak era - 3 forces operated: gravity, strong, electroweak
8. GUT era - strong, electroweak forces unite as GUT force
From first to last: Planck era, GUT era, electroweak era, particle era, era of nucleosynthesis, era of nuclei, era of atoms, era of galaxies
These are the rank of eras that are used to describe the history of the universe according to cosmology, from first to last:
Planck eraGUT eraElectroweak eraParticle eraEra of nucleosynthesisEra of nucleiEra of atomsEra of galaxiesHow does the history of the universe according to Hubble’s law?The universe is expanding and becoming more complex than its beginning. Using Hubble’s law, we can trace the earliest moments of the universe as far back as 10^-43 s after the Big Bang.
These are a little overview of each era that hypothetically happened in our universe:
Planck era. Four basics of nature (gravity, strong and weak nuclear force, electromagnetic) were unified into a single super force.GUT era. Gravity freezes out and was distinct.Electroweak era. Strong nuclear force was distinct.Particle era. Particles started to form.The era of nucleosynthesis. Helium was created by nuclear fusions.The era of nuclei. The electrons were not yet bound to be nuclei.The era of atoms. The first star was born after electrons form neutral atoms.The era of galaxies. The formation of galaxies started.A further explanation is can be seen in the attached picture.
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bronco the skydiver falls toward earth. the attraction of earth on bronco pulls him down. the reaction to this force is
Answer: Bronco pulling up on Earth.
Explanation:
Determine the energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state.
The energy of the least energetic photon that can be absorbed by these atoms when initially in their ground state is numerically equal to energy of the electron at that orbit.
What are energy levels of electron in an atom?An electron shell, also known as a primary energy level, is the orbit of one or more electrons around the nucleus of an atom in chemistry and atomic physics. The "1 shell" (also known as the "K shell") is the shell that is closest to the nucleus.
The "2 shell" (also known as the "L shell"), "3 shell" (also known as the "M shell"), and so forth are the shells that are further and more away from the nucleus. The shells are either labelled alphabetically with X-ray notation letters or with the primary quantum numbers (n = 1, 2, 3, 4...) (K, L, M, N...).
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. a car travels 15 miles east at a constant speed of 20 mi/h, then continues east for 20 miles at a constant 30 mi/h. what can be concluded about the magnitude of the average velocity?
The average velocity of the journey is 24.65miles/s
What is average velocity?Average velocity is the ratio of the total displacement to the total time taken for a journey. It is measured In m/s and it is a vector.
Therefore average velocity = Total displacement / total time taken
from velocity = distance/time
The time taken for the first journey(t1) = distance/velocity
t(1) = 15/20 = 0.75s
the time taken for the second journey (t2)= 20/30= 0.67s
The total time taken = 0.67s+ 0.75s = 1.42s
Therefore, average velocity = (15+20)/1.42
= 35/1.42 = 24.65miles/s
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if the ac current applied to the primary coil is 4.1 4.1 a, what current is present in its secondary coil? $$
The current present in secondary coil is 75.19A.
Transformers are used in a wide range of electrical and electronic applications, performing a variety of tasks including isolation, stepping up or down voltage and current, noise rejection, signal measurement, regulation, and a host of other tasks specific to a given application.
Turns ratio testing is one of the most popular tests used to determine whether a transformer will perform according to its design specifications.
The fundamental theory of turns ratio will be briefly reviewed in this technical note, after which we'll discuss some new concerns that should be taken into account when testing this crucial transformer property.
The induced voltage effect in any coil caused by a shifting magnetic flux surrounding the coil is described by Faraday's law of induction, which was discovered in 1831.
Mathematics-
[tex]i=2\pi\alpha I/\sqrt{2}[/tex]
i=current through secondary coil
I= current through primary coil
α= standard energy gap
Calculations-
=2 x 3.13 x 4.13 x 4.1/1.414
=75.19A
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the diagram shows a cube of marble. each side of the cube is 2cm in length calculatee the volume of the cube in cm3
Answer:
8cm^3
Explanation:
2^3=8, so therefore we've got our answer of 8cm^3.
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in your drawings for the field of the bar magnet, where are the field lines closest together? where are they farthest apart? what is the significance of a concentration of field lines?
The magnetic field is the strongest at the poles of a magnet, so the lines are closer to each other at poles, and farthest at the center outside the magma.
Magnetic lines being close together mean a strong magnetic field and lines far apart from each other mean a weak magnetic field.
Magnetic field lines are like streamlines in fluid flow, they represent something continuous, and a different resolution would show more or fewer lines. Various phenomena have the effect of displaying magnetic field lines as though the field lines were physical phenomena.
Magnetic field Magnetic field strength is one of two ways that the intensity of a magnetic field can be expressed. Technically, a distinction is made between magnetic field strength H, measured in amperes per meter (A/m), and magnetic flux density B, measured in Newton-meters per ampere (Nm/A), also called teslas (T).
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a 1300-n crate rests on the floor. how much work is required to move it at constant speed (a) 4.0m along the
Moving the container 4.0 meters and along floor at a constant speed while battling 230 Newton of friction requires 920 Joules of work.
What is the straightforward meaning of work?Force applied across a distance is called work. Illustrations of work include dragging down any captive helium balloon, driving fast up a hill, and lifting an object it against gravitational attraction of the Earth. Energy manifests mechanically as work.
Briefing :
Given ,Weight = 1300 Newton
Distance = 4 meters.
Friction force = 230 Newton.
To determine the amount of work that is required to move it at constant speed, 4.0 meters along the floor against a friction force of 230 Newton:
According to Newton's Second Law of Motion, the net force of the crate would be equal to zero since it is moving at a constant speed. Thus, the only force acting on the crate is a force of friction in a horizontal direction.
Mathematically, the work done above is given by this formula:
[tex]W = F_{f} dcos[/tex]∅
W = 230 4.0 x cos∅
W = 230 x 4.0 x 1
Work = 920 joules
Therefore , work done is 920 joules
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a 7 kg sample of mercury is completely solidified and liberates 81.06 kj of energy. what is the original temperature of the mercury? (the melting point of mercury is 234 k, the heat of fusion of mercury is 11.3 kj/kg, and the specific heat of mercury is 140 j/kg∙k.)
The original temperature of the mercury was 236k
What is called temperature?Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. Temperature indicates the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).
Total energy needed to crystallize mercury = F = heat of fusion = 11.3 kJ/kg ×7 kg = 79.1 KJ.
Let Q = Total Heat released - F = 81.06 kJ - 79.1 kJ = 1.96 kj.
Then, Q=ФMC
Ф =Q/MC
Ф =1.96kJ/(7kg*0.14kJ/ kgK)
Ф=2K.
2K of temperature change
As a result, the initial temperature was 234 + 2 = 236 K
(M = Mass, C = Special heat, and Ф= Change in temperature).
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a driver should not try to pass a large vehicle when that vehicle is making a turn because the driver will not be visible to the driver of the large truck. a) on the left b) on the right c) at all d) all of the above
When a large truck is turning, a driver shouldn't attempt to pass it on the right since the large truck's driver won't be able to see them.
What makes it a driver?The term "driver" has a history dating back to the 15th century and is used to describe a person who drives working animals, particularly pack or draft horses.
What exactly does a driver do?Transporting goods or people safely from one place to another is the primary duty of a driver. They must adhere to traffic regulations and plan their route properly, and they must always get enough fuel in the tank to get where they're going.
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can the person standing on the edge of the pool be prevented from seeing the light by total internal reflection at the water-air surface?
No, the individual perched on the brink. 18.110 57% 43% The light emits countless numbers of light beams. While most of the rays won't, some of them will be completely reflected into the water. 8
What is a ray PQ's angle of incidence?A beam PQ strikes the prism's face AB at I and travels along QR at r. Angles of incidence (through glass to air) and refraction or emergence (from air to the second face) are Y and I respectively.
What does a ray diagram for a reflecting telescope look like?The graphic depicts a reflecting type telescope's ray diagram. Since the reflecting telescope's objective is a mirror, there is no chromatic aberration in the resulting image.
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uppose a binary star system consists of two stars of equal mass. they are separated by 360 million km and take 5.0 earth years to orbit about a point midway between them. what is the mass of each?
When two stars in a binary star system are separated by 360 million kilometers and orbit one another in earth years, their masses are equivalent (5.56×10²⁵kg. kilograms apiece).
What is binary star system?A binary system is simply one in which two stars are gravitationally connected to one another and circle around a shared center of mass. In reality, most stars are a part of binary systems. Others stars may be in binary systems up to 85% of the time, and some may even be in triple or higher multiple systems. A pair of stars that are gravitationally bound to one another and are orbiting one another is known as a binary star. Visual binaries are astronomical pairings of stars that, to the unaided eye, appear to be one object but, when observed through with a telescopes, appear to just be two stars.
Do we live in a binary star system and which star is a binary star system?Our Sun is a peculiar star since it is a single star existing by itself. However, there is evidence to suggest that it formerly had a binary twin. According to recent findings, the majority of stars—if not all—have twins when they are born. (We already understood how bizarre the Solar System is.
Alpha Centauri, the nearest star system to Earth, contains the binary stars Alpha Centauri A and Alpha Centauri B.
Briefing:Kepler's third law of planetary motion,
F(c)=F(g)
F(c)=m4π⁴ r 1/2 T²
F(g)=G (m₁ m₂)/r²
Since, F(c) = F(g), then
m4π² r 1/2 T²=G (m₁m₂)/r²
4π²r 1/2 T²=G m²/r²
m2=4π² 1/2 r²/(T² G)
put the values in the formula,
m=4π² ((1.8×10¹¹)(3.6×10¹¹ )²)/((1.5768×10⁸ )² (6.67×10⁻¹¹ )
m= 4π^2 (2.333×10³⁴)/(1.658×10⁶ )
m = 5.56×10²⁵kg
Therefore, mass of the each binary-stars separated by 360 million km is 5.56×10²⁵kg.
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what is the greatest distance, measured from the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope?
The greatest distance that is measured from the the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m
How to solve for the greatest distance
We would have to solve for the tensile strength first.
The tensile strength is given as: T /A
The radius = diameter / 2
= 7 / 2
= 3.5
area = πr²
=We would have to solve for the maximum force from here
6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1
Next we would have to solve for the greatest distance
The net torque is given as 0
F(max) x L = m*g*x
2309.1*3.5 = 600*9.8*x
8081.85 = 5880x
divide through to get the value of x
x = 8081.85 / 5880
= 1.37m
Therefore, the greatest distance measured is 1.37 m.
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It takes a car 1. 75 h to go from mile marker 10 to mile marker 115. What is the average speed of the car? responses 1. 6 mph 1. 6 mph 60 mph 60 mph 65 mph 65 mph 183 mph.
The car travels at an average speed of 60 mph the entire way.
The parameters are as follows:
t = 1.75 hours for the car's motion;
[tex]x_{1}[/tex] = 10 miles for its initial position, and
[tex]x_{2}[/tex] = 115 miles for its final position.
The following formula is used to determine the car's overall mileage:
Distance traveled =[tex]x_{2} -x_{1}[/tex] = 115 miles - 10 miles = 105 miles
Thus, the distance traveled is 105 miles.
The following formula is used to determine the vehicle's average speed during the entire journey:
Average Speed = Distance traveled/Time Taken
Average Speed = 105 miles/ 1.75 hours = 60 miles per hour
As a result, the car travels at an average speed of 60 miles per hour.
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a) at what relative velocity is ? b) at what relative velocity is ? express your answers as percentages of the speed of light.
When compared to another observer, an object's relative velocity is its speed.
What is relative velocity used for?When compared to another observer, an object's relative velocity is its speed. It is the pace at which the relative position of one thing in relation to another object changes over time.
What are relative velocity and its measure?It is a measurement of how quickly two items are moving in relation to one another. Calculating relative velocity requires taking into account the velocity of object A in relation to object B. Meter per second (m/s) is the SI unit for relative velocity. Relative velocity has a dimension of M0L1T-1.
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what is the magnetic field created by a solenoid of length 0.5 m and with 2000 turns, if the current through it is 1.5 amps?
A 0.5 m long, 2000 turn solenoid will produce a magnetic field of 7.53*10-3 t if 1.5 amps of current flow through it. The vector field that describes the magnetic influence is called a magnetic field.
on electric currents, electric charges, and magnetic materials in motion. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow.
B = 4*PI*10^-7*2000*1.5/0.5
B = 7.53*10^-3 t
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