The dielectric constant of the unknown material is 2.3.
What is dielectric constant?Dielectric constant is referred as a relative permittivity or amount of charge required to produce one unit of electric flux in a given medium.
Given the speed of light in vacuum c =3 x 10⁸ m/s and the speed of light through an unknown material v = 1.98 x 10⁸ m/s.
The dielectric constant is related to the velocity by the following relation,
v = c/√K
Rearranging for dielectric constant, we get
K = (c/v)²
Substitute the value into the expression ,we get
K =(3 x 10⁸ / 1.98 x 10⁸)²
K = 2.3
Thus, the dielectric constant of the unknown material is 2.3.
Learn more about dielectric constant.
https://brainly.com/question/13265076
#SPJ1
An athlete runs 9km due east, then 18km north and finally 5km west. What is the total distance run? What is the resulting displacement of the hiker from the starting point?
Answer:
Distance: 32 km
Displacement: 18 km
Explanation:
Distance is the total amount travelled. Displacement on the other hand is how far away an object is from its starting point.
Distance is a scalar quantity meaning it only has magnitude. Displacement is a vector quantity meaning it has magnitude and direction.
Distance is represented by "x" while displacement is represented as "Δx".
Note that "Δ" is the Greek letter "delta" which is used to represent a change in something.
Let's start by finding the distance.
Since distance is the total amount travelled, we can just add all of the values.
9km + 18km + 5km = 32 km
Then, we can find the displacement.
North and East are positive while South and West are negative.
If the athlete ran 9km East and 5km West, their displacement would be:
9km - 5km = 4km East
Now, we can set up a triangle to determine the displacement from the starting point.
18km North would be the longer leg, 4km East would be the shorter leg, and the displacement would be the hypotenuse.
Using Pythagorean's Theorem we find that:
[tex]a^2+b^2=c^2\\4^2+18^2=c^2\\16+324=c^2\\340=c^2\\c\approx18[/tex]
Note that "a" and "b" represent the legs of the triangle while "c" represents the hypotenuse of the triangle.
The displacement is approximately 18m.
a car is traveling at 20 m/s and speeds up to 35 m/s in 5 seconds. what is the cars acceleration?
This is a Uniformly Accelerated Rectilinear Motion exercise.
We obtain the following data:
Vo = 20 m/s, Vf = 35 m/s, t = 5, a = ¿?
To calculate the acceleration, subtract the final velocity minus the initial velocity, divided by the time.
a = Vf - Vo / t
a = 35 m/s - 20 m/s / 5 s = 3 m/s².Greetings
A positive charge is placed in the center of an uncharged metal spherical shell with some thickness as shown above.
1. Draw the electric field that exists inside the empty volume enclosed by the shell.
(Empty except for
the positive charge.) Explain your drawing either in words or through use of a
diagram, or both.
2. Draw the electric field that exists inside the metal shell. Explain your drawing
either in words or
through use of a diagram, or both.
3. Draw the electric field that exists outside of the metal shell. Explain your drawing
either in words or
through use of a diagram, or both.
The drawing of the positive charge showing the electrical fields inside the empty volume enclosed by the shell is attached accordingly. See explanation below.
What is the explanation of the drawing the positive charge inside the center of the uncharged spherical metal?The electrostatic potential at any location outside the shell, assuming the center of the shell is Z, equals Z/4π∈₁r, where r is the distance from O.
It's also worth noting that the spherical shell's outer surface is an equipotential shell, which means that the electric field at any place inside the shell except O is zero.
Because the shell is metallic, charge Z will induce uniformly on the inner surface and +Z will induce uniformly on the outer surface, with O as the charge center.
As a result, an electric field will exist both within and outside the shell, but the total charge will remain the same.
Learn more about Electric Fields at:
https://brainly.com/question/14372859
#SPJ1
Calculate the amount of current flowing through a circuit when the resistance is 2 ohms and the voltage supplied is 10 Volts.
What type of metal are conducting wires most often made of?
#16
Answer:
here
Explanation:
Copper is commonly used as an effective conductor in household appliances and in electrical equipment in general. Because of its low cost, most wires are copper-plated. You will often find electromagnet cores normally wrapped with copper wire
a truck is moving towards east with the velocity of 20 metre per second and another is moving toward the west with the velocity of 15 metre per second calculate the relative velocity If those trucks move at the same time from the same place calculate the distance between them after 2 minutes
(a) The relative velocity If those trucks move at the same time from the same place is 35 m/s.
(b) The distance between them after 2 minutes is 4,200 m.
Relative velocity of the two trucksThe relative velocity of the two truck is calculated as follows;
Vr = 20 m/s - (-15 m/s)
Vr = 20 m/s + 15 m/s
Vr = 35 m/s
Distance between the object after 2 minsd = Vr(t)
d = 35(2 x 60 s)
d = 4,200 m
Learn more about relative velocity here: https://brainly.com/question/17228388
#SPJ1
Compare the temperature changes in the stratosphere with those in the troposphere.
Answer:
the temperature in the troposphere decreases while the temperature in the stratosphere increases because of the density of air molecules.
Explanation:
sorry ima little late
Choose the force diagram (freebody diagram) that best represents the forces acting on the object.
The effects of air resistance are negligible. (5 points)
A plate that is at rest on the kitchen table:
Answer:
Diagram B because a plate resting on a table has gravity acting on it and normal/air resistance force working against the gravity with the same amount of force. Forces that are balanced don't move.
Explanation:
I hope this helps
Diagram B represents the forces acting on the plate that is at rest on the kitchen table.
What is normal force?Every day, we experience the normal force.
In this instance, when we lay a plate on a kitchen table, the normal response force prevents the plate from going through the table, even if gravity is pulling the plate downward. That implies that there is a force acting to push it upward. The word "normal force" refers to the force. Normal in this context refers to being perpendicular to the ground.
Hence, in diagram B, downwards arrow represents gravitational force acting on the plate for its weight and upwards arrow represents normal force acting on the plate by the table.
Learn more about normal force here:
https://brainly.com/question/18799790
#SPJ2
1. A material through which a wave travels
A.) Velocity
B.) Increases
C.) Decreases
D.) speed
E.) medium
Answer:
Medium
Explanation:
I took a test on this last semester.
I need help with this! Which one?
Answer:
I believe that it is the 1st one
What is the difference between heat capacity and specific heat?
don't spam -_++
Heat capacity is the amount of heat required to raise the temperature of an object by 1oC. The specific heat of a substance is the amount of energy required to raise the temperature of 1 gram of the substance by 1oC.
☆...hope this helps...☆
_♡_mashi_♡_
The blackbody curve for a star named Zeta is shown below. What is the peak wavelength for this star?
impossible to tell because the scale for intensity is missing
0 nm
860 nm
3,010 nm
We are asked for the x coordinate of vertex
Here vertex is present somehow at 850-870nm
The most applicible answer should be 860nm
Option C is correct
a) The velocity of a moving body is t2 - t metres per second after a time of t seconds. Find the displacement of the body at the end of 12 seconds if the initial velocity is 0 metres per second.
Explanation:
The integral of a velocity versus time function is a displacement versus time function
So we integrate,
[tex] {t}^{2} - t[/tex]
The integral of that is
[tex] \frac{1}{3} {t}^{3} - \frac{ {t}^{2} }{2} [/tex]
Plug in 12 for t,
[tex] \frac{1}{3} (12 {}^{3} ) - \frac{12 {}^{2} }{2} [/tex]
[tex]576 - 72 = 504[/tex]
So the displacement is 504 meters to the right.
vf = 12² - 12 = 132 m/s
a = vf' = 2t-1
at t =12 s,
a = 2(12)-1 = 23 m/s²
vf²=vi²+2ad (vi=initial velocity=0)
vf²=2ad
132² = 2 x 23 x d
d = 378.78 m
If temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?.
If temperature is constant, the volume of a gas varies inversely as its pressure. The constant of proportionality for this variation is 3750.
What is temperature?Temperature is the degree of hotness or coldness of the object.
According to the ideal gas law, pV =nRT
where, p=pressure of gas, V =volume of gas, n=number of moles of element of gas, R=Universal Gas constant and T =temperature
When the temperature is constant,
PV =constant =k
k = 150x 25
k = 3750
Thus , the constant of proportionality is 3750.
Learn more about temperature.
https://brainly.com/question/11464844
#SPJ1
If a power source provides 54 watts of power to operate a machine that draws 4.5 amps of current when in use, what is the voltage used by the machine?
Answer:
.V=12v
Explanation:
P=VI
54W=V×4.5A
V=54W/4.5A
V=12V
Mr b Kayla and gabby are working out to get fit fr the summer Mr b is using a barbell that weighs 50kg and lifts it a distance of 4 meters. Kayla is using a barbell that weighs 45kg and lifts it a distance of 7 meters and gaby is using a barbell that weighs 47kg and lifts it a distance of 8m who is working the hardest
This question involves the concepts of potential energy and work.
"Mr. Gabby" is working the hardest.
Who is working the hardest?In this case, the work done by each person is equal to the potential energy produced by raising the barbell.
[tex]W = P.E=mgh[/tex]
where,
W = work done m = mass of barbellg = acceleration due to gravity = 9.81 m/s²h = height raisedFor Mr. bm = 50 kgh = 4 mTherefore,
[tex]W=(50\ kg)(9.81\ m/s^2)(4\ m)\\W=1962\ J[/tex]
For Mr. Kaylam = 45 kgh = 7 m
Therefore,
[tex]W=(45\ kg)(9.81\ m/s^2)(7\ m)\\W=3090.15\ J[/tex]
For Mr. Gabbym = 47 kgh = 8 mTherefore,
[tex]W=(47\ kg)(9.81\ m/s^2)(8\ m)\\W=3688.56\ J[/tex]
It is clear that most work is done by Mr. Gabby.
Learn more about potential energy here:
https://brainly.com/question/24284560
#SPJ1
You are using your phone to stream a movie. An hour into the movie, you notice that your phone is getting hot. What form of energy is the heat?
Answer:
Radio frequency energy. (Radiation)
Explanation:
the phone is getting hot due to large amount of used electricity. Geothermal energy is getting passed from the earth through the power lines from light and turns into electricity. this is what happens in a phone as well.
Explain how the motor takes advantages of electromagnetism to work?
When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it: Group of answer choices precession circumpolar motion retrograde motion ecliptic motion
I think you might be referring to this full question:
When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it:
precessioncircumpolar motionecliptic motionretrograde motionrudeWhen a planet temporarily moves westward in the sky over the course of several weeks or months we call it retrograde motion.
What is retrograde motion?Retrograde motion is a movement that occurs when a planet rotates at a slower speed compared to another celestial body.
This type of slow movement (retrograde motion) gives us the illusion that the planet is retrograding regarding the other celestial body.
In conclusion, when a planet temporarily moves westward in the sky we call it retrograde motion.
Learn more about retrograde motion here:
https://brainly.com/question/22921263
#SPJ4
A standing wave is a wave that remains in a constant position.
true or false
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer:
leaf margins
Explanation:
Scientists study ice cores and leaf margins to learn about the past climates.
Further explanation :
Leaf margins are an indicator of the temperature in which a tree lives or lived. Paleobotanists use the margins of fossil leaves to infer past temperatures.
Answer:
Snail shells
Explanation:
Yea surprising answer but like this is from the web -> "New research shows that snail shells retain their carbon and oxygen isotope signatures after being boiled and, through those proxies, likely still preserve an accurate record of past temperature, rainfall, and vegetation."
Sorry if wrong and hope it helps! :)
1. What is the energy of a photon of light with a wavelength (a) of 450 nm?
Answer:
2.76 eV
Explanation:
The Quanta of Light For example, a photon of blue light of wavelength 450 nm will always have 2.76 eV of energy.
When a certain constant force acts upon an object with mass 4kg, the acceleration of the object is 13. If the same force acts upon another object whose mass is 26, what is this object's acceleration
If the same force acts upon another object whose mass is 26, the object's acceleration is 2 m/s².
What is Newton's second law of motion?It states that the force F is directly proportional to the acceleration a of the body and its mass.
The law is represented as
F =ma
Given is the mass of object m =4 kg and the acceleration a = 13 m/s², then the force will be
F = 4x13 = 52 N
The same force is acted upon the object of mass 26kg, then new acceleration will be
52N = 26 kg x a'
a' = 2 m/s²
Thus, the object's acceleration is 2 m/s²
Learn more about Newton's second law of motion.
https://brainly.com/question/13447525
#SPJ1
Can someone please answer this, ill give you brainliest Would be very appreciated.
Solution: Expansion
Explanation:
When we put a glass bottle in the freezer, the volume of water is supposed to expand causing high surface tension leading to the glass to crack. As the volume of water increases, there is less space for the water to fit in.
Answer:
Expansion
Explanation:
According to boyles law
P is indirectly proportional to VAccording to gay lussac's law
P is directly proportional to TIn freezer
T decreases so P decreasesHence V increases
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer: A Because that is local I mean it is confined to a city at least i think so
Answer:
Option 3
Explanation:
All of the mentioned options are mitigation solutions. But, the question has clearly asked for local solutions, which means it has the possibility or feasibility to take place in every neighborhood no matter where you are.
The option which correctly gives this is :
An individual elects to walk or bike to work dailyYou are talking to your grandmother—who grew up in the 1960s—about climate change. She asks you a lot of questions about the issue, and in the end, isn’t sure she believes it to be a problem. Upon reflection, what belief about climate that was popular in the 1960s might have influenced your grandmother’s conclusion that she isn’t sure climate change is a problem?
A.
Climate only consisted of temperature, rather than the modern belief that climate includes other aspects.
B.
The Earth had four climate stages, and we are not due for a fifth for 10,000 years.
C.
Climate change happened over hundreds and thousands of years, not quickly.
D.
The little ice age was still happening, so our temperatures should be going down.
When scientists talk about climate, they usually mention averages of rainfall, temperature, humidity, sunshine, wind, and other climatic influences that occur over a long period of time in a particular location.Thus option A is correct.
What climate only consisted of temperature?High latitude polar and arctic air masses (60° N and S and higher) regulate climate. These climates are distinguished by low temperatures, frequent precipitation, and an unexpectedly wide variety of subtypes.
A climatic data element, such as precipitation, temperature, wind speed, or humidity, is a measured characteristic that aids in describing the climate of a particular place or region.
Therefore, Climate only consisted of temperature, rather than the modern belief that climate includes other aspects.
Learn more about Climate here:
https://brainly.com/question/8916210
#SPJ2
Where does energy go after it hits gas?
In gasoline-powered vehicles, most of the fuel's energy is lost in the engine, primarily as heat. Smaller amounts of energy are lost through engine friction, pumping air into and out of the engine, and combustion inefficiency.
How long will it take a runner, starting from rest and accelerating uniformly at 1.5 m/s2, to travel 3.0 m
A flashlight is shined against the mirror at the angle of incident of 27 degrees * At what angle from the normal would you be able to see this light?
Answer:mirror
Explanation:
at an angle of 42° from the surface of the mirror. What angle does the reflected ray make with the normal Ans. 42° 2. A ray of light hits a mirror at 27° from the normal.
How much of the electromagnetic spectrum can be seen with the human eye?.