Nuclear fission is the reaction in which the nucleus of a heavy atom, when bombarded with neutrons (or when capturing an incident neutron), becomes unstable and divides into two or more nuclei of lighter atoms, giving rise to a situation of greater stability. In this process that takes place in the atomic nucleus, neutrons, gamma rays and large amounts of energy are emitted.
In addition, several neutrons are produced that affect other fissile nuclei,and trigger more fission reactions that in turn generate more neutrons. Effect known as chain reaction.
Your eyes have three different types of cones with maximum absorption at 437 nm, 533 nm, and 564 nm.What photon energies correspond to these wavelengths? (answer in eV)
The energy [tex]E[/tex] of a photon is given by the following formula:
[tex]E=h.f[/tex] (1)
Where:
[tex]h=4.136(10)^{-15} eV.s[/tex] is the Planck constant
[tex]f[/tex] is the frequency in hertz [tex]Hz=s^{-1}[/tex]
Now, the frequency has an inverse relation with the wavelength [tex]\lambda[/tex]:
[tex]f=\frac{c}{\lambda}[/tex] (2)
Where [tex]c=3(10)^{8}m/s[/tex] is the speed of light in vacuum
Substituting (2) in (1):
[tex]E=\frac{hc}{\lambda}[/tex] (3)
Knowing this, let's begin with the answers:
437 nmFor [tex]\lambda=437nm=437(10)^{-9}m[/tex]
[tex]E=\frac{(4.136(10)^{-15} eV.s)(3(10)^{8}m/s)}{437(10)^{-9}m}[/tex]
[tex]E=\frac{1.24(10)^{-6}eV.m }{437(10)^{-9}m}[/tex]
[tex]E=2.837eV[/tex]
533 nmFor [tex]\lambda=533nm=533(10)^{-9}m[/tex]
[tex]E=\frac{1.24(10)^{-6}eV.m }{533(10)^{-9}m}[/tex]
[tex]E=2.327eV[/tex]
564 nmFor [tex]\lambda=564nm=564(10)^{-9}m[/tex]
[tex]E=\frac{1.24(10)^{-6}eV.m }{564(10)^{-9}m}[/tex]
[tex]E=2.2eV[/tex]
A deglaciated cirque often contains a basin in which a(n ________ can be found. a deglaciated cirque often contains a basin in which a(n ________ can be found. tarn erratic moraine arete knickpoint
Answer:
tarn
Explanation:
The deglaciated cirques very often contain tarn. The tarn can simply be explained as a lake formed from the melted ice, having a natural dam made by a moraine, glacial till, or the lip of the underlying bedrock. The tarn is a small lake, as the space is very limited. This small lake is marking the downstream limit of the glacial overdeepening. This lakes can last for either very short period of time, or be present for a long period of time, depending on the climate conditions.
if are spaced closely together on the map,there is a drastic temperature change over the distance
Answer:
isotherms
Explanation:
If are spaced closely together on the map,there is a drastic temperature change over the distance called isotherms.
What are isotherms?The isotherms on a map show the areas with the same temperature levels. Isotherms are the lines that join the points of the same temperature on a map.
In other words, an isotherm of a specific temperature level passes through areas that reflect the temperature identical to the temperature of the isotherm. The functioning of the isotherm lines is similar to that of contour lines. Isotherm lines prove beneficial in the determination of relative temperature variations and other meteorological applications.
An isothermal process has a constant temperature. As a result, the internal energy is constant and there has been no change in it at all. Since there are no intermolecular forces or particle interactions in an ideal gas by definition, a change in pressure at constant temperature does not affect on the internal energy.
Therefore, If are spaced closely together on the map,there is a drastic temperature change over the distance called isotherms.
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please help on this one?
Answer:
B) It is connected in parallel and measures potential differences.
Explanation:
A voltmeter measures electrical potential differences between two points in an electric circuit. It is also connected in parallel to measure a device's voltage, while an ammeter is connected in series to measure a device's current.
Hope this helps! :)
The number 3 next to hydrogen in NH3 is the ____.
A.coefficient
B.numerator
C.subscript
Answer:
C.subscript
Explanation:
The number 3 is a subscript on the hydrogen atom in ammonia NH₃.
Subscript is a lower notation on a reference atom. It states the number of hydrogen atom covalently bonding with the single N atom.
The superscript is located up. For example P², the 2 is a superscript.
The coefficient is the number before a compound or atom e.g 2C represents two atoms of Carbon.
The numerator is the upper value in a fraction. The denominator is the one beneath.
Answer:
Subscript.
Explanation:
Did it on USA test prep.. hope it helps :)
Read the scenario.
An acorn starts at a position of 0 m. A squirrel picks it up and moves it to a position of 4 m west. Then, a second squirrel steals it and brings it to a final position of 2 m west.
Which option represents a vector quantity from the scenario?
velocity = 6 m/s west
distance = 6 m
displacement = 2 m west
displacement = 6 m
Answer:
displacement = 2 m west
Explanation:
The displacement of an object is a vector connecting the final point of the motion of the object to the initial point, and its magnitude is equal to the length of the vector. So the magnitude of the displacement is basically the distance (measured in a straight line) between the final point and the starting point.
In this problem, we have:
- initial position of the acorn: 0 m
- final position of the acorn: 2 m west
So, the displacement has a magnitude of
d = 2 m - 0 m = 2 m
And the direction is west, since the final position is west compared to the initial position.
Which example best illustrates the transfer of energy between two waves?
A)A buoy rises in the water as a boat speeds past.B)A basketball rebounds from the backboard during a missed shot.C)An egg that rolls off the counter falls and breaks on the floor.D)A car that rear ends another car causes damage to both vehicles.
Answer:
A) A buoy rises in the water as a boat speeds past.
Explanation:
The passing boat transfers energy in the form of a wave. Other options illustrate other physics concepts like gravity (falling egg) or Newton's law (for every action, there is an equal and opposite reaction).
What is the average speed for a car driving a distance of 186 meters to the north in a time of 28 seconds?
a
6.64m/s
b
9.15m/s
c
3.64m/s
d
7.64m/s
e
9.64m/s
Answer:
6.642857143 or a . 6.64 m/s
Explanation:
186/28 = 6.642857143
In December, a city in the Southern Hemisphere has warm weather all month long. What causes this to happen?
Answer:
In the Southern Hemisphere, summer starts in December. This means that during this month the weather is warm.
This is because, in this period of time, the southern hemisphere is receiving more ray lights from the sun, which raises the temperature in the southern hemisphere.
You are driving in heavy traffic and it begins to rain. Explian a defensive driving technique that you could use to help make you and your passenger safer.
slow down, turn your windshield wipers and headlights on, create a bigger space between you and the car in front of you.
Answer:
As mentioned in the explanation.
Explanation:
If we are driving in heavy traffic and it begins to rain, then we use the defensive driving technique (for safe driving) which are the following.
(1). Slow down the speed of the car (vehicle).
(2). Turn your windshield wipers and headlight on.
(3). Create a bigger space between your car and the car in front of you.
As you move faster does the force of gravity increase or decrease?
Answer:
increase
Explanation:
think about it this way:
if you are falling from 2 different heights, 1- off a chair or 2- from a building
as you increase speed from the building you will have a harder impact, whereas when you fall of a chair your speed does not increase as much, even though itll still cause pain, ti wont be as much.
<3
Can someone help??? PLEEEASE!!! I really wanna finish this exit ticket (>_<)
**Wrong answers will be reported**
Answer:
Explanation:
A planet.
Stars produce energy through fusion, and galaxies are made of stars.
Asteroids do not have objects orbiting around them.
Find a numerical value for ρearth, the average density of the earth in kilograms per cubic meter. use 6378km for the radius of the earth, g=6.67×10−11m3/(kg⋅s2), and a value of g at the surface of 9.80m/s29.80m/s2.
Answer:
5501 kg/m^3
Explanation:
The value of g at the Earth's surface is
[tex]g=\frac{GM}{R^2}=9.70 m/s^2[/tex]
where G is the gravitational constant
M is the Earth's mass
[tex]R=6378km = 6.378 \cdot 10^6 m[/tex] is the Earth's radius
Solving the formula for M, we find the value of the Earth's mass:
[tex]M=\frac{gR^2}{G}=\frac{(9.81 m/s^2)(6.378\cdot 10^6 m)^2}{6.67\cdot 10^{-11}}=5.98\cdot 10^{24}kg[/tex]
The Earth's volume is (approximating the Earth to a perfect sphere)
[tex]V=\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (6.378\cdot 10^6 m)^3=1.087\cdot 10^{21} m^3[/tex]
So, the average density of the Earth is
[tex]\rho = \frac{M}{V}=\frac{5.98\cdot 10^{24} kg}{1.087\cdot 10^{21} m^3}=5501 kg/m^3[/tex]
The average density of the earth is about 5.50 × 10³ kg/m³
[tex]\texttt{ }[/tex]
Further explanationLet's recall the Gravitational Force formula:
[tex]\boxed {F = G\ \frac{m_1 m_2}{R^2}}[/tex]
where:
F = Gravitational Force ( N )
G = Gravitational Constant ( = 6.67 × 10⁻¹¹ Nm²/kg² )
m = mass of object ( kg )
R = distance between object ( m )
Let us now tackle the problem!
[tex]\texttt{ }[/tex]
Given:
Radius of The Earth = R = 6378 km = 6378000 m
Gravitational Constant = G = 6.67 × 10⁻¹¹ Nm²/kg²
Gravitational Acceleration = g = 9.90 m/s²
Asked:
Average Density of the Earth = ρ = ?
Solution:
Firstly , we will calculate the mass of the Earth as follows:
[tex]g = G \frac{M}{R^2}[/tex]
[tex]\boxed {M = \frac{g R^2}{G} }[/tex] → Equation 1
[tex]\texttt{ }[/tex]
Next , we could calculate the average density of the Earth as follows:
[tex]\rho = M \div V[/tex]
[tex]\rho = (\frac{g R^2}{G}) \div ( \frac{4}{3} \pi R^3 )[/tex] ← Equation 1
[tex]\rho = \frac{3gR^2}{4 \pi G R^3}[/tex]
[tex]\rho = \frac{3g}{4 \pi G R}[/tex]
[tex]\rho = \frac{3 \times 9.80}{ 4 \pi \times 6.67 \times 10^{-11} \times 6378000 }[/tex]
[tex]\boxed {\rho \approx 5.50 \times 10^3 \texttt{ kg/m}^3}[/tex]
[tex]\texttt{ }[/tex]
Learn moreUnit of G : https://brainly.com/question/1724648Velocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302[tex]\texttt{ }[/tex]
Answer detailsGrade: High School
Subject: Mathematics
Chapter: Gravitational Force
Electromagnetic induction is the production of a voltage across a conductor when it is exposed to a varying magnetic field. This process is essential in which of these technologies? A)Laser technolgy. B)electric motors. C) Automobile manufacturing. D) Electric power distribution.
Answer:
D) Electric power distribution.
Explanation:
Electric power distribution requires high voltages to efficiently transmit electric power. This requires use of a transformer which uses electromagnetic induction.
Answer:
D) Electric power distribution.
Explanation:
As we know that the Faraday's law of electromagnetic induction says that rate of change in magnetic flux linked with a closed conducting loop will induce EMF in the loop.
This induced EMF is used for power production so here when we use it for the production of voltage across conductor.
it is used in AC generator when a coil is rotated at high speed between strong magnetic field of magnets.
This is induced EMF is given by
[tex]EMF = NBA\omega sin(\omega t + \phi)[/tex]
so here correct answer will be
D) Electric power distribution.
To find acceleration, you first _______, then divide by time *
Determine distance
Determine time
Determine velocity
Determine acceleration
Answer:
the answer is d
Explanation:
Yeah answer is d bro
If the torque on an object adds up to zero
A) the forces on it also add up to zero.
B) the object is at rest.
C) the object could be rotating and its center of mass could be accelerating linearly
D) the object could not be rotating and its center of mass could be accelerating linearly
E) None of the above.
If the net torque acting on the system is zero, the net force may or may not be zero.
The net torque on the Object is zero implies that the Object cannot have an angular acceleration
but it will have an angular velocity.
Thus, the object will rotate.
The center of mass of the object
will have the linear acceleration since because there will be a net force.
Thus, the correct option
is the object could be both turning and accelerating linearly.
the object could be rotating and its center of mass could be accelerating linearly.
Answer :C
If an object's torque increases to zero, the object could be rotating and its center of mass could be accelerating linearly.
What is torque?Torque is a measure of the force which helps an object to rotate about an axis. It is also known as the rotational equivalent of linear force.What happens if the torque on an object adds up to zero?If the net torque acting on the system is zero, the net force may or may not be zero. The net torque on the object is zero implying that the object can't have an angular acceleration but it will have an angular velocity and therefore, the object will rotate. Thus, the object's center of mass will have linear acceleration because there will be a net force.Hence option (C) 'the object could be rotating and its center of mass could be accelerating linearly' is correct.
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Will our Sun ever undergo a white dwarf supernova explosion? Why or why not?
A) No, because it is not orbited by another star.
B) No, because the Sunʹs core will never be hot enough to fuse carbon and other heavierelements into iron.
C) Yes, about a million years after it becomes a white dwarf.
D) Yes, right at the end of its double-shell burning stage of life.
Answer:
(A)
Explanation:
No, because it is not orbited by another star
Hope this help :)
Which does not increase the strength of an electromagnet?
A. more current in the solenoid
B. using a “soft iron” core
C. fewer turns in the coil
D. more turns in the coil
C is the answer. Decreasing the number of coils would in turn, decrease the current induced and therefore will not increase the strength of the electromagnet.
Answer: The correct answer is "fewer turns in the coil".
Explanation:
Electromagnet: It is not a permanent magnet. When the current passes through iron core wounded by the coils then it will get magnetized.
The domains of the electromagnet gets aligned.
It will loose its magnetism easily when the current is not flowing in it. It is a temporary magnet.
In the electromagnet, the strength of the magnetism can be increased or decreased by increasing the number of turns in the coil or by using a soft iron core and by increasing the current.
Therefore, the correct option is (C).
In the military, night vision goggles are used to pull off secret missions into areas that are very dangerous. For this reason, the soldiers try to infiltrate at night so they can't be seen. Thermal-imaging devices are often used as well to locate people on these highly secretive missions. What type of electromagnetic radiation is being utilized?
Answer:
infrared waves
Explanation:
im not sure, but i chose it as an answer and i got it right, so....
What is total internal reflection? When does it occur?
Total internal reflection is the phenomenon that occurs when a ray of light travels from a medium of high refractive index to a lower refractive index medium.
In this sense, the ray is refracted in such a way that it is not able to cross the surface between both media, being completely reflected.
This is the physical principle used in optical fiber to conduct light through the fiber without energy loss.
It is important to note, that this phenomenon occurs at a limit angle [tex]\theta_{c}[/tex], which is calculated from Snell's law, substituting the angle of the second medium by [tex]\theta_{2}=90\º[/tex]:
[tex]n_{1}sin\theta_{c}=n_{2}sin(90\º)[/tex]
Where [tex]n_{1}[/tex] and [tex]n_{2}[/tex] are the refractive indexes of both media.
The principal quantum number indicates what property of an electron?
The main quantum number, identified by n, gives information about the orbital energy level of the electron.
To understand it better:
According to the current model of the atom, it has a central nucleus with electrons orbiting around. These orbits are located at different energy levels that are related to the distance from the electron to the nucleus.
So, the first energy level, is considered the lowest, because it is the smallest and the one that is in average closer to the nucleus, and as n increases, the farther away from the nucleus is the orbital and therefore more energy the electron has.
It should be noted that the values of n will always be positive integer numbers, for example: 1, 2, 3, 4, 5, 6,7. Although theoretically its value oscillates between 1 and infinity, until now only atoms whose maximum energetic level is 8 are known.
The principal quantum number is a crucial quantum number that designates the energy level or shell of an electron in an atom. It helps outline the general area where an electron is most likely found. It also offers understanding about the behavior and positions of electrons in atomic orbitals.
Explanation:The principal quantum number, denoted as n, is one of the four quantum numbers used to characterize an electron within an atom. This quantum number indicates the energy level, or shell, that the electron occupies in an atom. Specifically, it defines the general region in which an electron is most probable to reside, based on probabilistic solutions of the Schrödinger equation and the quantum mechanical model.
An electron in an atom’s quantum state is determined by its quantum numbers (n, l, m₁, ms), with the mixed values of n ranging from 1, 2, 3, etc. Defining n also limits the values of the following quantum numbers. For instance, once n is known, the angular momentum quantum number l can only have the following values: l = 0, 1, 2, ..., n − 1.
Further, in accordance to the Pauli exclusion principle, no two electrons in an atom can possess the same set of the four quantum numbers. Hence, the principal quantum number, in conjunction with other quantum numbers, helps us to understand the behavior and positions of electrons within specific atomic orbitals. The understanding of how these quantum numbers work provides a fundamental basis for comprehending the quantum mechanical model of an atom.
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The tendency of an object to resist a change in motion is called _______
The answer is inertia
Answer: INERTIA
Explanation:
From newton first law, A body will continue to be in a state of constant motion unless being acted upon by an external force. Example passengers in a moving vehicle will tend to resist motion during stoppage of the car due to a tendency to want to continue in motion.
which of the following affect(s) the half-life of a radiocative substance?
A. The addition of a catalyst.
B. The temperature of the substance.
C. The mass of the substance.
D. The type of isotope.
check all that apply.
help fast!!!!!
Answer:
option (D)
Explanation:
The half life of a radio active substance is defined as he time in which the activity of radioactive substance becomes half. For example let the halflife of a radioactive substance is T, it means its activity becomes half in time T.
The relation between halflife T and decay constant K is
T = 0.6931 / K
The half life of a radioactive substance is independent to the mass of substance, temperature of substance and the addition of catalyst.
It is different for different isotopes.
Answer:
d, the type of isotope
Explanation:
ap ex verified
BEST ANSWER WILL BE BRANLIEST!! 70 POINTS!!
13. The speed of light in a material is calculated by dividing the speed of light in a vacuum by the index of refraction in the material.
Calculate the speed of light in water which has a refraction rate of 1.33. Showing your work is not necessary.
14. The speed of light in a material is calculated by dividing the speed of light in a vacuum by the index of refraction in the material.
Calculate the speed of light in glass which has a refraction rate of 1.50
Showing your work is not necessary.
Answer:
Explanation:
The speed of light in a vacuum is approximately 3×10⁸ m/s.
In water with η=1.33:
v = (3×10⁸ m/s) / 1.33
v = 2.26×10⁸ m/s
In glass with η=1.50:
v = (3×10⁸ m/s) / 1.50
v = 2.00×10⁸ m/s
The speed of light in water with a refraction rate of 1.33 is approximately 2.26 x 10^8 m/s, while the speed of light in glass with a refraction rate of 1.50 is approximately 2.00 x 10^8 m/s.
Explanation:The formula to calculate the speed of light in a material is v = c/n, where v is the speed of light in the material, c is the speed of light in a vacuum, and n is the index of refraction of the material. In the first question, the index of refraction for water is given as 1.33. Plugging this value into the formula, we can calculate the speed of light in water by dividing the speed of light in a vacuum (approximately 3.00 x 10^8 m/s) by 1.33, which gives us a speed of light in water of approximately 2.26 x 10^8 m/s. In the second question, the index of refraction for glass is given as 1.50. Following the same calculation, we obtain a speed of light in glass of approximately 2.00 x 10^8 m/s.
Microwave ovens emit microwave energy with a wavelength of 12.1 cm. What is the energy of exactly one photon of this microwave radiation?
Answer:
[tex]1.64\cdot 10^{-24}J[/tex]
Explanation:
The energy of a photon is given by:
[tex]E=\frac{hc}{\lambda}[/tex]
where
[tex]h=6.63\cdot 10^{-34} Js[/tex] is the Planck constant
[tex]c=3\cdot 10^8 m/s[/tex] is the speed of light
[tex]\lambda[/tex] is the wavelenght of the photon
For the microwave photons in this problem,
[tex]\lambda=12.1 cm=0.121 m[/tex]
so their energy is
[tex]E=\frac{(6.63\cdot 10^{-34}Js)(3\cdot 10^8 m/s)}{0.121 m}=1.64\cdot 10^{-24}J[/tex]
The energy of a microwave photon can be calculated using the Planck-Einstein relation, with the microwave's frequency derived from its given wavelength. Microwaves are electromagnetic radiation with wavelengths longer than infrared but shorter than radio waves, used in applications such as microwave ovens.
Explanation:To determine the energy of a microwave photon, we need to use the Planck-Einstein relation, which states that the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This relation is given by the equation E=hv where E is the energy, h is Planck's constant and v is frequency.
The frequency v can be determined from the given microwave wavelength 12.1cm using the equation v=c/λ, where c is the speed of light and λ is the wavelength. Since the speed of light and Planck's constant are known quantities, by substituting these values into the Planck-Einstein relation, we can find the energy of a single photon.
It's crucial to note that microwaves, a form of electromagnetic radiation, have longer wavelengths compared to infrared but shorter than radio waves. The energy level they possess makes them suitable for applications such as microwave ovens, where they cause water molecules to rotate faster, resulting in food heating up.
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Electrons are made to flow in a wire when there is
A) an imbalance of charges in the wire.
B) more potential energy at one end of the wire than the other.
C) a potential difference across its ends.
Answer:
C) a potential difference across its ends.
Explanation:
We know , according to Ohm's law, at a constant temperature, current flows through a circuit is directly proportional to the voltage applied.
[tex]V=I\times R[/tex] Here R is resistance provide by circuit.
[tex]I=\dfrac{V}{R}.[/tex]
Also, currents flows in the opposite direction of electrons. If current flows then only electron flows.
From Ohm's law , current flows only when their is a potential difference.
Therefore, same goes with electrons as they flow only when current flows electrons.
C) Option is correct.
Electrons will flow in a wire when there is a potential difference (voltage) across its ends (C) or an imbalance of charges in the wire (A). This flow creates a current. Similar to water in a pipe, electrons move from areas of high potential energy to areas of low potential energy.
Explanation:Electrons flow in a wire when there is a potential difference across its ends. This potential difference, commonly known as voltage, it is kind of like the 'push' that gets the electrons moving. It's like sending a sled down a hill, the top of the hill has more potential energy, the 'push', than the bottom of the hill. It's similar with electrons and voltage. If there's more voltage at one end of the wire than the other - hence, a potential difference - the electrons will 'slide' down this 'hill', creating a current.
Another way to think about it is water in a pipe. The water (electrons) will flow from a place of high potential energy to a place of low potential energy. So, if there's a higher potential (voltage) at one end of the wire than the other, the electrons will flow to equalize the energy.
An imbalance of charges in the wire can also lead to electron flow, as electrons move from areas of high concentration (negatively charged) to areas of lower concentration.
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A 525 kg satellite is in a circular orbit at an altitude of 575 km above the Earth's surface. Because of air friction, the satellite eventually falls to the Earth's surface, where it hits the ground with a speed of 1.90 km/s. How much energy was transformed into internal energy by means of air friction? 14457750000 Incorrect: Your answer is incorrect.%20orbit%20at%20an%20altitude%20of%20575%20km%20above%20the%20Earth's%20surface.%20Because%20of%20air%20friction%2C%20the%20satellite%20eventually%20falls%20to%20the%20Earth's%20surface%2C%20where%20it%20hits%20the%20ground%20with%20a%20speed%20of%201.90%20km%2Fs.%20How%20much%20energy%20was%20transformed%20into%20internal%20energy%20by%20means%20of%20air%20friction%3F%20%20%20%20J/study?trackid=ae7684c4b7d0&strackid=e93f14d66685&event=enter_submit#p=1
Answer:
[tex]1.69\cdot 10^{10}J[/tex]
Explanation:
The total energy of the satellite when it is still in orbit is given by the formula
[tex]E=-G\frac{mM}{2r}[/tex]
where
G is the gravitational constant
m = 525 kg is the mass of the satellite
[tex]M=5.98\cdot 10^{24}kg[/tex] is the Earth's mass
r is the distance of the satellite from the Earth's center, so it is the sum of the Earth's radius and the altitude of the satellite:
[tex]r=R+h=6370 km +575 km=6945 km=6.95\cdot 10^6 m[/tex]
So the initial total energy is
[tex]E_i=-(6.67\cdot 10^{-11})\frac{(525 kg)(5.98\cdot 10^{24} kg)}{2(6.95\cdot 10^6 m)}=-1.51\cdot 10^{10}J[/tex]
When the satellite hits the ground, it is now on Earth's surface, so
[tex]r=R=6370 km=6.37\cdot 10^6 m[/tex]
so its gravitational potential energy is
[tex]U = -G\frac{mM}{r}=-(6.67\cdot 10^{-11})\frac{(525 kg)(5.98\cdot 10^{24}kg)}{6.37\cdot 10^6 m}=-3.29\cdot 10^{10} J[/tex]
And since it hits the ground with speed
[tex]v=1.90 km/s = 1900 m/s[/tex]
it also has kinetic energy:
[tex]K=\frac{1}{2}mv^2=\frac{1}{2}(525 kg)(1900 m/s)^2=9.48\cdot 10^8 J[/tex]
So the total energy when the satellite hits the ground is
[tex]E_f = U+K=-3.29\cdot 10^{10}J+9.48\cdot 10^8 J=-3.20\cdot 10^{10} J[/tex]
So the energy transformed into internal energy due to air friction is the difference between the total initial energy and the total final energy of the satellite:
[tex]\Delta E=E_i-E_f=-1.51\cdot 10^{10} J-(-3.20\cdot 10^{10} J)=1.69\cdot 10^{10}J[/tex]
"One step in the manufacture of silicon wafers used in the microelectronics industry is the melt crystallization of silicon into a crystalline silicon ingot. This processis carried out within a special furnace. When the newly solidified ingot is removed from the furnace, it is assumed to have a uniform initial temperature of 1600 K, which is below the crystallization temperature. At this temperature, the thermal conductivity of silicon is 22 W/(m•K), the density is 2300 kg/m3, and the heat capacity is 1000 J/(kg•K). The hot solid silicon ingot is allowed to cool in air maintained at a constant ambient temperature of 30°C. The diameter of the silicon rod is 15 cm. End effects are considered negligible. The convective heat transfer coefficient is 147 W/(m2•K). What temperature will exist 1.5 cm from the surface of the ingot after a cooling time of 583 sec (9.72 min)?" Consider the rod as acylinder placed vertically.
Answer:
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In a particular experiment to study the photoelectric effect, the frequency of the incident light and the temperature of the metal are held constant. Assuming that the light incident on the metal surface causes electrons to be ejected from the metal, what happens if the intensity of the incident light is increased? Check all that apply. The choices are:
a. The work function of the metal decreases.
b. The number of electrons emitted from the metal per second increases.
c. The maximum speed of the emitted electrons increases. The stopping potential increases.
Part B: In another experiment, the intensity of the incident light and the temperature of the metal are held constant. Assuming that the initial light incident on the metal surface causes electrons to be ejected from the metal, what happens if the frequency of the incident light is increased?
1. b. The number of electrons emitted from the metal per second increases.
In the photoelectric effect, when light is shone on a metallic surface, the photons of the light give energy to the electrons in the metal. Electrons can then be emitted by the surface if they receive enough energy, according to the equation:
[tex]hf=\phi + K[/tex] (1)
where
(hf) is the energy given by the photon, with h being the Planck constant and f the frequency of the photon
[tex]\phi[/tex] is the work function of the metal, which is the minimum energy required to extract an electron from the metal
K is the maximum kinetic energy of the electron
Keep in mind that in the photoelectric effect, 1 photon hits 1 electron only. Now let's analyze the 3 statements:
a. The work function of the metal decreases. --> FALSE. In fact, the work function of the metal depends only on the properties of the metal itself, so it is not affected by the intensity of the incident light.
b. The number of electrons emitted from the metal per second increases. --> TRUE. When the light intensity is increased, more photons are shone on the metal, so more photons hit more electrons, and so more electrons in the metal are emitted.
c. The maximum speed of the emitted electrons increases. The stopping potential increases. --> FALSE. As we see from the equation (1), the maximum kinetic energy of the electrons depends only on the frequency of the incident photon (f), not on the number of photons: therefore, the maximum speed is also not affected by the intensity of the light, and the stopping potential is not affected neither (the stopping potential is equal to the minimum potential necessary to prevent the photoelectrons from escaping the metal)
2) c. The maximum speed of the emitted electrons increases. The stopping potential increases.
In this case, the frequency of the incident light is increased: this means that the incident photons have more energy, therefore they give more energy to the electrons, therefore the electrons will be emitted with larger maximum speed. As a consequence, the stopping potential will also be larger, since a larger potential will be needed to stop the photoelectrons. So the only correct statement is c.
The other 2 statements are wrong because:
a. The work function of the metal decreases. --> FALSE. In fact, the work function of the metal depends only on the properties of the metal itself, so it is not affected by the intensity of the incident light.
b. The number of electrons emitted from the metal per second increases. --> FALSE. This depends only on the intensity of the light (number of photons emitted), which in this case does not change.
When the intensity of the incident light is increased, the number of electrons emitted from the metal per second increases.
What is photoelectric effect?The term potoelectric effect refers to the fact that electrons are emitted from the surface of a metal when irraditaed with light of appropriate frequency.
We know that when the frequency of the incident light is increased, the kinetic energy of the emitted electrons is increased. Again,When the intensity of the incident light is increased, the number of electrons emitted from the metal per second increases.
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The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). if an object fell 64 ft in 8 seconds, how far will it have fallen by the end of 9 seconds
If the distance is proportional to the square of the time, then the distance in 9 seconds will be (9/8)² as long as the distance in 8 seconds.
(9/8)² = 1.265625
(64 ft) · (1.265625) = 81 ft.
The distance that a free falling object falls is directly proportional to the square of the time it falls (before it hits the ground). if an object fell 64 ft in 8 seconds, It will it have fallen by the end of 9 seconds at 81 feet.
What is distance?
The distance covered by a body is equal to the sum of total path covered. It is equal to the total path traveled by an object during its entire journey. This quantity is always positive. It can't be 0 or a negative number. It is defined as a scalar quantity.
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that distance, d varies directly with square of the time t, if we introduce a constant of proportionality, k, the expression becomes
d = kt²
If d = 64 when t = 8, then
64 = k × 8² = 64k
k = 64/64
k = 1
The equation becomes,
d = 1t²
Therefore, when t = 9 seconds, then
d = 1 × 9² = 81 ft
Thus, the distance can be calculated as 81 feet.
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