Answer:
Odd and even
Explanation:
Odd and even numbers have no common elements
What is the energy density at the center of a circular loop of wire carrying a 23.0 a current if the radius of the loop is 28.0 cm?
The energy density at the center of a circular loop of wire carrying a 23.0 a current if the radius of the loop is 28.0 cm will be 1.06 * [tex]10^{-3}[/tex] J / [tex]m^{3}[/tex]
Energy density is defined as the amount of energy accumulated in a system per unit volume. In the case of electrical energy. Electrical energy density = permittivity* Electric field squared/2 mu0
When an electric current is passed through a current-carrying circular wire loop, the magnetic field lines are generated in a circular pattern around the arms of the coil while the magnetic field lines are straight at the center of the loop
The magnetic field strength at the center of a circular loop is given by
B=(muo*I)/2R (at center of loop),
Energy density = [tex]B^{2}[/tex] / 2 (mu0)
= [tex]\frac{1}{2 (muo)}[/tex] * [tex](\frac{muo * I}{2R})^{2}[/tex] = [tex]\frac{muo * I^{2} }{8 * R^{2} }[/tex]
= [tex]\frac{4*3.14*10^{-7}*(23)^{2} }{8 * (0.28)^{2} }[/tex]
= 1.06 * [tex]10^{-3}[/tex] J / [tex]m^{3}[/tex]
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What is the volume of a solution, in milliliters, that contains 1. 5 g lino3 and has a concentration of 0. 40 m?
The volume of a solution, in milliliters, that contains 1. 5 g lino3 and has a concentration of 0. 40 m will be 54.35 m L.
Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.
Molarity = n / V
where
n = number of moles
V = volume of solution in l
Molar mass of [tex]LiNO_{3}[/tex] = M of Li + M of N + 3 * M of O
= 7 + 14 + (3*16)
= 69 g/ mole
since , M = n / V
n = m / molar mass of [tex]LiNO_{3}[/tex]
substituting the value of n
Molarity = (m / molar mass of [tex]LiNO_{3}[/tex] ) / V
V = m / molar mass of [tex]LiNO_{3}[/tex] * Molarity
= 1.5 / 69 * 0.40
= 54.35 mL
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The component of the normal force on the object parallel to the plane balances the friction force on the object.True/False
True. The component of the normal force on the object parallel to the plane balances the friction force on the object at rest.
What is component of normal force parallel to the plane?
An object placed on an inclined plane is subject to three forces, namely;
Normal force acting downwardsComponent of the normal force acting parallel to the planeFrictional force, parallel to the planeNet force acting on the object at rest∑F = 0
mg sinθ - μFₙ cosθ = 0
mg sinθ = μFₙ cosθ
where;
mg sinθ is component of the normal force acting parallel to the planeμFₙ cosθ is frictional force, parallel to the planeThus, the component of the normal force on the object parallel to the plane balances the friction force on the object at rest.
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Light propagates from soda lime glass (n = 1.518) into pyrex glass (n = 1.473). determine the critical angle for this situation.
Light propogates from soda lime glass into pyrex glass of different refractive indices indicating a change in the medium which can be used to find out the critical angle.
The critical angle is the angle of incidence for which the angle of refraction comes out to be 90°. It is related to the refractive indices (Plural of refractive index) by the following relation:
Sini = 1/u, where u is the ratio of refractive index of medium 2 and medium 1
According to the question, Light propogates from soda lime glass (Medium 1, u1=1.518) into pyrex glass(Medium 2, u2=1.473), i.e. from a denser medium to rarer medium. So, the ratio of refractive index becomes u2/u1= 1.473/1.518=0.97
Putting the ratio in the above-mentioned formula,
∴ Sini = 1/0.97
i= 75.9°
Hence, the critical angle(i) for the given situation is 75.9°.
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With e in volts per meter and t in seconds. at t = 0, the field is upward. the plate area is 4. 3 × 10-2 m2. for t > 0, what is the magnitude of the displacement current between the plates?
The magnitude of the displacement current between the plates is [tex]2.1*10^{-8} A[/tex]
Given,
A=4.3*[tex]10^{-2} m^{2}[/tex]
[tex]E=(4.0*10^{5})-(6.0*10^{4}t)\\[/tex]
[tex]i_{d} =ϵ_{0} *\frac{dϕ_{E} }{dt } =ϵ_{0}A\frac{dE}{dt}[/tex]
[tex]i_{d}[/tex]=[tex]ϵ_{0}[/tex]*A*[tex]\frac{d}{dt}[/tex][tex](4.0*10^{5})-(6.0*10^{4}t)[/tex]=[tex]-ϵ_{0} *A*6.0*10^{4}[/tex]
= -[tex](8.85*10^{-12})(4.0×10*^{-2})(6.0×10^{4})[/tex]=[tex]-2.1*10^{-8} A[/tex]
CurrentAn electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. The capital letter I is frequently used as a symbol for current. Amperes are the common unit and are denoted by the letter A. A coulomb of electrical charge moves past a certain place in one second as one ampere of current does. Franklin current or conventional current are terms used by physicists to describe how current flows from relatively positive to comparatively negative sites. Negatively charged electrons are the most prevalent charge carriers. They move in a somewhat good direction from relatively negative points.
With e in volts per meter and t in seconds. at t = 0, the field is upward. the plate area is 4. 3 × 10-2 m2. for t > 0, what is the magnitude of the displacement current between the plates?
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An atomic nucleus has a charge of 40e. an electron is 10-9 m from the nucleus. what is the force on the electron?
The force on the electron is (F)= 9.2 nN.
How can we calculate the value of the force on the electron?To calculate the value of the force on the electron here we use the formula,
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Here we are given,
[tex]q_{1}[/tex]= The charge of an atomic nucleus= 40e = [tex]40 \times 1.6 \times 10^{-19}[/tex] C.
[tex]q_{2}[/tex]= The charge of an electron = [tex]1.6 \times 10^{-19}[/tex] C.
r= The distance between the nucleus and the electron = [tex]10^{-9}[/tex] m.
k= The Coulomb's constant = [tex]8.99 \times10^9 N m ^2 /C^ 2[/tex]
We have to find the value of the of the force on the electron = F
Now , we substitute the known values in the above equation, we can get
[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]
Or, [tex]F=8.99\times 10^{9} \frac{40\times 1.6\times 10^{-19} \times 1.6\times 10^{-19} }{(10^{-9})^{2} }[/tex]
Or,[tex]F=8.99\times 10^{9}\times {40\times (1.6\times 10^{-19} )^2\times (10^{9})^{2} }[/tex]
Or, [tex]F= 9.2 \times 10^{-9} N[/tex]
Or, F= 9.2nN
So, from the above calculation we can conclude that the amount of force applied on the electron is 9.2nN.
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Which mystery primate is a biped? list the characteristics you choose to justify your answer
Primate B mystery primate is a biped.
The characteristics are:
The vast majority of primates live in trees (Notable exceptions are humans and gorillas).The majority of primates have upright upper bodies and occasionally walk on two feet (Humans are erect and always exhibit bipedalism).All primates have smaller noses and matching olfactory brain regions (except Lemurs).Compared to other mammals, primates have enormous brains for their size. Stereoscopic vision, hand-eye coordination, and manual dexterity are all governed by the brain's enlarged regions.Considering the size of the animal, long gestationsPrimate sociality is rather high in general.The majority of primates are nocturnal.The highly enjoyable action of grooming is shared by all highly evolved primates, including humans.PrimateLemurs, lorises, tarsiers, monkeys, apes, and humans are all included in the biological order called primates. Class Mammalian of the phylum Vertebrate includes creatures with qualities that have evolved recently in the taxonomic classification of the animal kingdom. 19 subtaxa known as orders have been added to the Mammalia classification. Primates are one of such groups, which contains eutherian animals like monkeys and apes. As a result, during a period of 30 million years, new world and old world monkeys underwent different adaptive radiations and were reproductively isolated. The Oligocene epoch saw the evolution of prosimians. About 30 million years ago, all currently extant primates underwent evolution.
Which mystery primate is a biped? list the characteristics you choose to justify your answer
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Which wavelength of light is the best choice when attempting to quantitatively relate solution absorbance and concentration?.
310 nm
310 nm wavelength of light is the best choice when attempting to quantitatively relate solution absorbance and concentration.
What does beer lambert law state?The Beer-Lambert law states that "the quantity of light absorbed by a substance dissolved in a fully transmitting solvent is directly proportional to the concentration of the substance and the path length of the light through the solution."
Here, the wavelength for absorption is 310 nm. We confirmed that the largest aggregation happens at this wavelength based on the preliminary experiments. Your spectrum measurements may be repeated at a very low concentration. From there, you may deduce the concentration and maximum absorbance at the relevant wavelength.Applications of Beer-Lambert law:Beer-law Lambert's is used to analyze a combination using spectrophotometry without the sample needing to go through a lot of pre-processing. The measurement of bilirubin in blood plasma samples is one example. Since the molar absorbance is known, the spectrum of pure bilirubin is also known.Limitations of Beer-Lambert law:light scattering as a result of sample-related particles. the sample's fluorescence or phosphorescence. refractive index modifications at high analyte concentrations. alterations in chemical equilibrium that occur as a result of concentration.To learn more about Beer-Lambert law visit:
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The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is:_________
The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is more than as compared to first case because the voltage across the inductor is proportional to the rate of change of current which is a maximum at the start when the current and the voltage across the resistor are zero.
As time progresses the current increases at a slower rate as does the voltage across the resistor but the voltage across the inductor decreases.
The voltage drop is proportional to the current, which is the rate-change of the charge. Inductors: V = L (DI/Dt). The voltage drop across the inductor is proportional to the rate-change of the current.
How do you calculate voltage drop in an inductor?The formula which calculates the inductor voltage is
V= Ldi/dt,
where,
V is the voltage across the inductor,
L is the inductance of the inductor,
di/dt is the derivative of the current flowing across the inductor.
Thus from the above conclusion we can say that The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is more than as compared to first case because the voltage across the inductor is proportional to the rate of change of current which is a maximum at the start when the current and the voltage across the resistor are zero.
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Metallic iron crystallizes in a body-centered cubic lattice, with one fe atom per lattice point. if the metallic radius of fe is 124 pm, what is the volume of the unit cell in pm3 and in cm3?
The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.
We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.
As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.
one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.Now, these lattice points will contain
1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.
[tex]d^2 = x^2+ x^2[/tex]
[tex]d^2=2x^2[/tex]
The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.
[tex]d= r+2r+r = 4r[/tex]
This means that we have,
[tex](4r)^2=2x^2[/tex]
[tex]16.r^2 = 2x^2 \\x=\sqrt{8r^2}[/tex]
This is equivalent to
[tex]x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm[/tex]
So, the edge length of the unit cell is equal to 350.7 pm.
The volume of a unit cell. As we know, the volume of a cube is given by the formula
V = [tex]l[/tex] × [tex]l[/tex] × [tex]l[/tex]
[tex]l[/tex] = the edge length of the cube
Volume = (350.7)³ pm³
= 4.3 × 10⁻¹⁰ pm³
= 4.3e-30 cm³
Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.
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The shoemaker-near spacecraft explored two asteroids, mathilde and eros. a big difference between them is that:________.
A big difference between Mathilde and Eros is that Mathilde represents a group of separate rocks whereas Eros is a solid rock.
What is an asteroid?An asteroid is a celestial body composed of different types of rocky materials (generally clay but also silicate) and also metals (especially Fe).
An asteroid may have different sizes and some of them can be huge as dwarf planets that travel across the universe.
In conclusion, a big difference between Mathilde and Eros is that Mathilde represents a group of rocks whereas Eros is a solid rock.
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What is the half-life of an isotope if 125 g of a 500 g sample of the isotope remains after 3.0 years?
Answer:
125 / 500 = 1/4 of the sample left after 3.0 yrs
1/2 * 1/2 = 1/4 sample has decayed thru 2 half-lives
2 * HL = 3
1 Half-Life = 1.5 yrs
What is the speed of light in crown glass if the index of refraction for crown glass is 1. 52? provide the solution: ___________ x 108 m/s
The speed of light in crown glass with the index of refraction is 1.97×10^8 m/s.
Given index of refraction= 1.52
speed of light in vaccum= 3×10^8 m/s
speed of light in medium=c/n= 3×10^8/1.52= 1.97×10^8 m/s
About index of refraction:
The ratio of the speed of light in a vacuum to that in a second medium with a higher density is used to compute the refractive index (also known as the index of refraction). In mathematical formulae and descriptive writing, the letter n or n' is most frequently used to represent the refractive index variable.
The index of refraction controls how much light is refracted or twisted when it enters a substance.
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Rx: hydrochloric acid 2 percent solution 500 ml. your stock solution of hydrochloric acid is 10 percent. how much of the stock solution is required to prepare the order?
100 ml
100 ml of the stock solution is required to prepare the order.
We know that C1V1 = C2V2
where C1= 2%
V1 = 500ml
C2= 10%
V2 = ?
V2 = C1V1 / C2
= 500 * 2% / 10%
=100
V2 = 100 ml
What is meant by stock solution?A stock solution is a sizable amount of a typical reagent in a standardized concentration, like sodium hydroxide or hydrochloric acid. This phrase is frequently used in analytical chemistry while doing operations like titrations where it's crucial to employ precise solution concentrations.What distinguishes a standard solution from a stock solution?The main distinction between stock solution and standard solution is that the former is a highly concentrated solution while the later is a solution whose concentration is precisely known. Because standard solutions frequently arrive as stock solutions, the phrases "stock solution" and "standard solution" are connected.To learn more about stock solution preparation visit:
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A ________ is a collection of related data, equivalent to an electronic file cabinet.
Answer:
database
Explanation:
A database is a collection of related data, equivalent to an electronic file cabinet. The correct option is B.
What is a database?A database is a structured collection of data that is stored and accessed electronically in computing. Small databases can be kept on a file system, whereas large databases are kept on computer clusters or in the cloud.
A database is a well-organized gathering of information or data that is customarily entered into the system in a computer system. A database management system is usually in charge of such a database (DBMS).
A database system retail locations critical business data: the data, when analyzed, becomes valuable information about a company and aids in decision-making.
Database structure is the components of a database. This is actually a new way between entities.
Thus, the correct option is B.
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A)gallery
B)database
C)spreadsheet
D)presentation
The diagram below shows a wire carrying a current between the poles of a large horseshoe magnet.
In which direction does the magnetic force act on the wire?
A
towards 1
B
towards 2
C
towards 3
D
towards 4
The magnetic force is acting towards 2.
It is given that the diagram below shows a wire carrying a current between the poles of a large horseshoe magnet.
We need to determine in which direction does the magnetic force act on the wire.
We will use Fleming's left hand rule here.
It states that
If we arrange our thumb, forefinger and middle finger of the left-hand perpendicular to each other, then the thumb points towards the direction of the force experienced by the conductor, the forefinger points towards the direction of the magnetic field and the middle finger points.
According to this, the magnetic force is acting towards 2.
Option B is correct.
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The magnetic force is acting towards 2 direction. the correct answer is option(b).
An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field. Given that the illustration below depicts a wire conducting a current between the poles of a sizable horseshoe magnet, it is assumed. We must ascertain the direction in which the magnetic force acts on the wire.
Here, the Fleming left-hand rule will be applied. The thumb, forefinger, and middle finger of the left hand are arranged perpendicular to one another, with the thumb pointing in the direction of the force experienced by the conductor and the forefinger and middle finger pointing in the direction of the magnetic field. This indicates that the magnetic force is pulling in the direction of 2.
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If the resistance in a circuit connected to a constant current is halved, how is the voltage in the circuit affected?.
Answer:
The voltage remains constant.
Answer:
The voltage in the circuit remains same. However the current drawn by the circuit will increase.
Explanation:
According to Ohm's Law:
V=IR
If we halved the resistance let:
R'=R/2
then
I'=2I in order to kept the Voltage same. Also the resistance is the opposition to the current. So, if resistance will halved then obviously current will double
So when we put these value in to Ohm's Law the results is:
V'=I'R'
V'=2I(R/2)
V'=IR which is equal to first voltage. Hence,
V'=V
How would a small bar magnet be oriented when placed at position X?
Based on the document attached, the small bar magnet will be oriented when placed at position X is option d:
What is the magnet position about?The orientation of the magnets is known to be one that do affect its magnetic force. Atoms atoms, such as iron, are known to often gives a stronger magnetic force when compared to other atoms.
These atoms can be seen as tiny magnets, that has the north and south of each pole. If the poles is known to be oriented in all directions, the material will not bring about a net magnetic force.
Therefore, Based on the document attached, the small bar magnet will be oriented when placed at position X is option d because the shapes of the magnetic field lines in regards to the bar magnet are said to be closed.
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The resistivity of the material of a wire is 1. 76 × 10-8 ωm. if the diameter of the wire is 2 × 10-3 m and its length is 2 m, what is its resistance?
The resistivity of the material of a wire is 1. 76 × 10-8 ωm. if the diameter of the wire is 2 × 10-3 m and its length is 2 m, then its resistance is 0.0112Ω
The resistance of a wire is solely determined by its length, cross-section area, and resistivity. So we calculate the resistance of a wire by knowing its diameter, length, and resistivity (which varies depending on the material). The resistance provided by a unit length of conductor with a unit area of cross-section is defined as resistivity. Its SI unit is the ohm-meter.
It does not alter as the wire length increases, but resistance increases fourfold when the wire is stretched to double its original length. Resistivity is defined as the electrical resistance per unit length and cross-sectional area of a conductor.
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Assume earth is approximately a uniform, solid sphere that has a mass of 5.98×1024 kg and a radius of 6.38×106 m. calculate the angular momentum ????z of earth as it spins on its central axis once each day.
The angular momentum of earth is
7×10^33 kgm^2/sec
Given:
mass of earth = 5.98×1024 kg
radius of earth = 6.38×10^6 m
To Find:
angular momentum
Solution:
For earth we have moment of inertia as
I = 2/5mR^2
and angular velocity as ω = 2π/T
Thus angular momentum is given as
L= 2/5mR^2*2π/T
L = 2/5*5.98×10^24*(6.38×10^6)^2*2*3.14/86400s
L = 7 × 10^33 kg/m^2/sec
So, angular momentum of earth is
So, angular momentum of earth is 7×10^33 kgm^2/sec
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examples of different types of energy that are PE
[tex]\quad \quad\quad \huge \underline{\tt{ANSWER᭄}}[/tex]
[tex] \quad\quad\quad\quad[/tex]
[tex] \blue{ \star}[/tex]Magnetic Energy :
Compass Hard disk drives[tex] \blue{ \star}[/tex]Gravitational Energy :
Writing with pen on paperRipe fruit before it falls[tex] \blue{ \star}[/tex]Nuclear Energy :
ElectricityNuclear Weapons[tex] \blue{ \star}[/tex]Thermal energy :
Baking in an ovenA cup of hot chocolateThe density of silver is 10. 5 g/cm 3. a piece of silver with a mass of 61. 3 g would occupy a volume of __________ cm 3
_______________
ρ=10,5 g/cm³
m=61,3 g
_______________
V - ?
_______________
[tex]\displaystyle \boldsymbol{V}=\frac{m}{\rho} =\frac{61,3 \; g}{10,5\; \frac{g}{cm^3} } \approx \boldsymbol{5,84 \; cm^3}[/tex]
A light bulb operating at 110 v draws 1. 40 a of current. what is its resistance?
the resistance of the circuit containing 110V and 1.42A current will be 78.57 ohm.
To find the answer, we need to know more about the Ohm's law.
How to find the resistance of the circuit?Ohm's law states that, the potential difference across the ends of the conductor is proportional to the current through the conductors.[tex]V[/tex]∝ [tex]I[/tex]
[tex]V=IR[/tex]
where, R is the proportionality constant called resistance of the circuit.
Given that, voltage is 110V, and current is 1.40A, then the resistance will be,[tex]R=\frac{V}{I} =\frac{110}{1.40}=78.57Ohm[/tex]
Thus, we can conclude that, the resistance of the circuit containing 110V and 1.42A current will be 78.57 ohm.
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What is the avergae percent increase in the count rate over the voltage range of the geiger tube plateau?
The average percent increase in the count rate over the voltage range of the Geiger tube plateau is less than 10 percent per 100 volts.
Geiger tubes are the sensing elements of Geiger counters, which are used to measure ionizing radiation. This tube is made of a thin-walled stainless steel and is filled with a mixture of Neon and Halogen gases at low-pressure
The Geiger–Müller tube is filled with an inert gas such as helium, neon, or argon at low pressure, to which a high voltage is applied. The tube briefly conducts electrical charge when a particle or photon of incident radiation makes the gas conductive by ionization.
After the quick rise, the counting rate levels off. This range of voltages is termed the ”plateau” region. Eventually, the voltage becomes too high and we have continuous discharge. The threshold voltage is the voltage where the plateau region begins.
For a good G-M tube, the plateau region should rise at a rate less than 10 percent per 100 volts. That is, for a change of 100 volts, should be less than 0.1.
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A person of weight 600 n is standing with one foot on each of two bathroom scales. The scales readings are?
The scales readings are 300 N for each of the scale.
What is weight?The weight of an object is the force acting on the object due to gravity.
Weight is a vector quantity because it varies from place to place due to difference in acceleration due to gravity and it is measured in Newton (N).
Reading of each scaleThe total weight of the person is supported by the two legs and if the person stand on a level ground, the weight will be evenly distributed and each scale will carry half of the person's weight.
The reading of each scale due to the weight of the person is calculated as follows;
Reading of each scale = total weight / 2
Reading of each scale = 600 N/2
Reading of each scale = 300 N
Thus, the scales readings are 300 N for each of the scale.
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What constant acceleration is required to increase the speed of a car from 27 mi/h to 53 mi/h in 3 s? (round your answer to two decimal places. ) ft/s2
The constant acceleration is required to increase the speed of a car from 27 mi/h to 53 mi/h in 3 s will be 0.01 ft /[tex]s^{2}[/tex]
Velocity defines the direction of the movement of the body or the object. Speed is primarily a scalar quantity. Velocity is essentially a vector quantity. It is the rate of change of distance. It is the rate of change of displacement.
Acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down.
initial velocity = 27 m/h = 0.0075 m/s
final velocity = 53 m/h = 0.0147 m/s
acceleration = ( final velocity - initial velocity ) / time
= (0.0147 - 0.0075) / 3
= 0.0024 m/[tex]s^{2}[/tex]
= 0.01 ft /[tex]s^{2}[/tex]
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Picking up sound waves is the stage of listening that most people refer to as what?
A. hearing
B. perceiving
C. understanding
D. evaluating
A. Picking up sound waves is the stage of listening that most people refer to as hearing.
What is hearing?
Hearing, or auditory perception, is the ability to perceive sounds through an organ, such as an ear, by detecting vibrations as periodic changes in the pressure of a surrounding medium.
During learning process, when someone picks up the sound waves directed to him/her, it is known as the act of hearing,
Thus, picking up sound waves is the stage of listening that most people refer to as hearing.
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A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s. What is the terminal speed of the marble in m/s?.
The terminal speed of the marble is 0.588 m/s.
Calculation:We know that,
F = mg ......(1)
where,
F = force
m = mass
g = acceleration due to gravity
Also,
v = F/k ......(2)
where,
v = terminal speed
k = proportionality constant
Substituting the value of F from equation (1) in equation (2)
v = mg/k .......(3)
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
To find,
v =?
Put the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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0.588 m/s
0.588 m/s is the terminal speed of the marble.
Calculation:We know that,
F = mg ----> eq(1)
where,
F = force
m = mass
g = acceleration due to gravity
We also know,
v = F/k ----> eq(2)
where,
v = terminal speed
k = proportionality constant
On substituting the value of F from eq(1) in eq(2)
v = mg/k
Given,
m = 30 g = 0.030 kg
k = 0.500 kg/s
g = 9.8 m/s²
we need to find,
v =?
substitute the values in equation (3)
v = mg/k
v = 0.03(9.8)/ 0.500
= 0.294/0.500
= 0.588 m/s
Hence, the terminal speed of the marble is 0.588 m/s.
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What are the factors that cause land and water to heat and cool differently? choose all that apply.
The differential heating of Land and water depends on amount of solar energy reaching earth.
Land is a better conductor of heat than water, heating up and cooling down faster than water.
In summer, amount of solar radiation is highest hence difference of water and land temperature is highest. Air over land heats up and expands hence the air rises above. This rising air is replaced with the surrounding air rich in moisture content from over ocean surface. The degree of differential heating depends on amount of solar energy reaching earth's surface.
This results in Sea Breeze which is from a large body of water towards landmass due to difference in pressure created.
Land Breeze blows towards sea from land at night. It is due to difference in rate of cooling of land and ocean.
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You measure an angle of 21. 1 when the light passes through a grating with 610 lines per mm. what is the wavelength of the light?
The wavelength of the light is 590nm
wavelength of the light=λ
Given,
The equation for a diffraction grating to use here is dsinθ = mλ
d=1/610 lines per mm=1.639*[tex]10^{-6}[/tex], m=1, θ=21.[tex]1^{0}[/tex]
λ=1.639*[tex]10^{-6}[/tex] * sin21.[tex]1^{0}[/tex]/1 =590nm
WavelengthThe wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighbouring crests, troughs, or zero crossings, and it is a feature of both travelling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. The Greek letter lambda, or "wavelength," is frequently used to represent it. Additionally, sinusoidal wave envelopes, modulated waves, and waves created by the interference of several sinusoids are also commonly referred to as having a wavelength.
You measure an angle of 21. 1 when the light passes through a grating with 610 lines per mm. what is the wavelength of the light?
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