Answer:
During an alpha decay
Explanation:
An alpha particle is a particle consisting of 2 protons and 2 neutrons - basically it is equivalent to a nucleus of helium.
Alpha particles are emitted during alpha decays, which are one of the three types of radioactive decays (the other two being beta decay and gamma decay) in which an unstable nucleus decays emitting an alpha particle:
[tex]X \rightarrow Y + \alpha[/tex]
In the process, the original nucleus X loses 2 protons and 2 neutrons, so:
- its atomic number decreases by 2 units: Z --> Z-2
- its mass number decreases by 4 units: A --> A-4
A bass guitar string is 89 cm long with a fundamental frequency of 30 Hz. What is the wave speed on this string?
Answer:
53.4 m/s
Explanation:
For a standing wave on a string, the fundamental frequency is given by
[tex]f=\frac{v}{2L}[/tex]
where
v is the wave speed
f is the frequency
L is the length of the string
For the wave on the guitar string in this problem, we have
[tex]f=30 Hz[/tex] is the fundamental frequency
L = 89 cm = 0.89 m is the length of the string
Solving the equation for v, we find the wave speed:
[tex]v=2Lf=2(0.89 m)(30 Hz)=53.4 m/s[/tex]
The wave speed on the 89 cm bass guitar string with a fundamental frequency of 30 Hz is 53.4 m/s.
Explanation:The subject in question pertains to wave speed on a string, specifically a bass guitar string. This is a physics problem related to the concept of wave motion. To calculate wave speed, we use the formula v = fλ, where v is wave speed, f is the fundamental frequency, and λ is the wavelength. Given that the length of the string equals half the wavelength (λ = 2L for a string fixed at both ends), the wavelength (λ) for the bass guitar string would be 2 × 89 cm = 178 cm or 1.78 m.
Substituting the known values (f = 30 Hz and λ = 1.78 m) into the formula, we obtain v = 30 Hz × 1.78 m = 53.4 m/s.
Therefore, the wave speed on this bass guitar string is 53.4 m/s.
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There is geologic evidence that the earth has experienced many episodes of mountain building and erosion. True or False
Answer:
True
Explanation:
There are several geologic evidences that points to the fact that the earth has undergone different episodes of erosion and mountain building.
These evidences are the key to James Hutton's proposition of the "law of Uniformitarianism". The law which states that " the present is the key to the past and geologic processes that are occurring today have occured in the times past".
Evidences of erosion can be found mostly in sedimentary rock layers. Some of them occur as time gaps/lapses within rock units and they are called unconformity surfaces. Sometimes we can see them as erosional features in sedimentary beds.
Evidences of mountain building can be found in different Orogenic cycles terranes have been placed into. The earth is a dynamic planet and the internal heat engine combines with surface forces to move rocks through different types. Some areas believed to have been raised continental platforms are now stable cratons and shields. Dating rocks from such terrane would reveal several episodes of deformation which corresponds to mountain building cycles..
Breathing is called _____. expiration inspiration circulation respiration
Breathing is called respiration.
Answer:
respiration
Explanation:
Simon draws a diagram to illustrate the law of reflection.
Which best explains how Simon can correct the error in his diagram?
Draw the incident ray so it is longer than the reflected ray.
Make the angle of reflection and the angle of incidence equal.
Switch the labels for incident ray and reflected ray.
Make the angle of incidence larger than the angle of reflection.
Answer:
Make the angle of reflection and the angle of incidence equal.
Explanation:
The law of reflection states that at the point of incidence on a smooth surface, the angle of incidence is equal to the angle of reflection, The incident ray, the normal and the reflected ray lie on the same plane.
Answer:
B. Make the angle of reflection and the angle of incidence equal
Explanation:
Two of the wavelengths emitted by a hydrogen atom are 97.26 nm and 1282 nm . Part A What is the m value for the wavelength 97.26 nm ? Express your answer as an integer. Part B What is the n value for the wavelength 97.26 nm ? Express your answer as an integer. Part C What is the m value for the wavelength 1282 nm ? Express your answer as an integer. Part D What is the n value for the wavelength 1282 nm ? Express your answer as an integer.Part E Part complete For the wavelength 97.26 nm , is the light infrared, visible, or ultraviolet? Part F Part complete For the wavelength 1282 nm , is the light infrared, visible, or ultraviolet?
A) m = 4
We can solve the problem by using Rydberg equation:
[tex]\frac{1}{\lambda}=R_H (\frac{1}{n^2}-\frac{1}{m^2})[/tex]
where
[tex]R_H = 1.097\cdot 10^7 m^{-1}[/tex] is the Rydberg constant for hydrogen
n is the principal quantum number of the upper energy level
m is the principal quantum number of the lower energy level
For the first wavelength, we have
[tex]\lambda=97.26 nm = 97.26\cdot 10^{-9} m[/tex]
Substituting into the equation, we find
[tex]\frac{1}{n^2}-\frac{1}{m^2}=\frac{1}{\lambda R_H}=\frac{1}{(97.26\cdot 10^{-9} m)(1.097\cdot 10^7 m^{-1})}=0.9373[/tex])
By setting n=1, we obtain the Lyman series which goes from 121.6 nm (for m=2) to 91.18 nm (for [tex]m=\infty[/tex]). So our line of 97.26 nm must be in this series.
By setting n=1, we find m:
[tex]\frac{1}{m^2}=\frac{1}{n^2}-0.9373=\frac{1}{1^2}-0.9373=0.0627\\m=\frac{1}{\sqrt{0.0627}}=4[/tex]
B) n = 1
n can be found by thinking about the limit of the different series.
Larger n corresponds to larger wavelengths; for each n, m goes from (n+1) to [tex]\infty[/tex], and the shortest wavelength of each series is the one corresponding to [tex]m=\infty[/tex].
If we put n = 2, and [tex]m=\infty[/tex], we find the shortest wavelength of the n=2 series:
[tex]\frac{1}{\lambda}=R_H (\frac{1}{n^2}-\frac{1}{m^2})=(1.097\cdot 10^7 m^{-1})(\frac{1}{2^2}-\frac{1}{\infty})=\frac{1.097\cdot 10^7 m^{-1}}{4}=2.74\cdot 10^6 m^{-1}\\\lambda=\frac{1}{2.74\cdot 10^6 m^{-1}}=3.64\cdot 10^{-7} m = 364 nm[/tex]
which is longer than our line at 97.26 nm, so n must be smaller than 2, which means n=1.
C) m = 5
Similarly to what we did in part A), here we have a wavelength of
[tex]\lambda=1282 nm = 1282\cdot 10^{-9} m[/tex]
Substituting into the Rydberg equation, we find
[tex]\frac{1}{n^2}-\frac{1}{m^2}=\frac{1}{\lambda R_H}=\frac{1}{(1282\cdot 10^{-9} m)(1.097\cdot 10^7 m^{-1})}=0.0711[/tex])
By setting n=3, we obtain the Paschen series which goes from 1875 nm (for m=4) to 820.4 nm (for [tex]m=\infty[/tex]). So our line of 1282 nm must be in this series.
By setting n=3, we find m:
[tex]\frac{1}{m^2}=\frac{1}{n^2}-0.0711=\frac{1}{3^2}-0.0711=0.04001\\m=\frac{1}{\sqrt{0.04001}}=5[/tex]
D) n = 3
Similarly to what we did in part B), if we put n = 4, and [tex]m=\infty[/tex], we find the shortest wavelength of the n=4 series:
[tex]\frac{1}{\lambda}=R_H (\frac{1}{n^2}-\frac{1}{m^2})=(1.097\cdot 10^7 m^{-1})(\frac{1}{4^2}-\frac{1}{\infty})=\frac{1.097\cdot 10^7 m^{-1}}{16}=6.856\cdot 10^5 m^{-1}\\\lambda=\frac{1}{6.856\cdot 10^5 m^{-1}}=1.458\cdot 10^{-6} m = 1458 nm[/tex]
which is longer than our line at 1282 nm, so n must be smaller than 4. Indeed, if we try with n=3, we find:
[tex]\frac{1}{\lambda}=R_H (\frac{1}{n^2}-\frac{1}{m^2})=(1.097\cdot 10^7 m^{-1})(\frac{1}{3^2}-\frac{1}{\infty})=\frac{1.097\cdot 10^7 m^{-1}}{9}=1.219\cdot 10^6 m^{-1}\\\lambda=\frac{1}{1.219\cdot 10^6 m^{-1}}=8.204\cdot 10^{-7} m = 820.4 nm[/tex]
So, our line is contained in the n=3 series.
E) Ultraviolet
We can answer this question by looking at the different wavelengths of the electromagnetic spectrum. In fact, we have:
Ultraviolet: 380 nm - 1 nm
Visible: 750 nm - 380 nm
Infrared: 1 mm - 750 nm
Our wavelength here is
97.26 nm
So, we see it is included in the ultraviolet part of the spectrum. In fact, all lines in the Lyman series (n=1) lie in the ultraviolet ragion.
F) Infrared
Again, the electromagnetic spectrum is:
Ultraviolet: 380 nm - 1 nm
Visible: 750 nm - 380 nm
Infrared: 1 mm - 750 nm
Our wavelength here is
1282 nm
So, we see it is included in the infrared part of the spectrum. In fact, all lines in the Paschen series (n=3) lie in the infrared band.
The wavelength 97.26 nm represents ultraviolet light, with m=1 and n=2, while the wavelength 1282 nm represents infrared light, with m=3 and n=4. These conclusions are derived from the Balmer-Rydberg equation where m and n are quantum states.
Explanation:The wavelengths emitted by a hydrogen atom are determined by the energy difference between quantum states, which are indicated by the values of m and n. For hydrogen, the series corresponding to an m value of 1 is in the ultraviolet spectrum, while the series corresponding to an m value of 3 is in the infrared spectrum.
Part A and B: The wavelength 97.26 nm belongs to the Lyman series (where m=1) and in it, the n value is 2 for this wavelength. Therefore by the Balmer-Rydberg equation, this presents ultraviolet light since it falls into 10nm to 400nm range which represents the ultraviolet spectrum.
Part C and D: The wavelength 1282 nm corresponds to the Paschen series (where m=3) and the n value is 4, thus resulting in an infrared light since it falls over 700 nm which represents the infrared spectrum.
Part E and F: Summarily, The 97.26 nm wavelength represents ultraviolet light while the 1282 nm wavelength represents infrared light.
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Which of the following statements about iron filings placed upon glass resting on top of a bar magnet is false?
A. The direction of the flux in the portion of a magnetic field outlined by the filings will be from the north pole of the magnet to the south pole.
B. The filings will sit on the glass on curved paths between the north and south poles.
C. The density of the filings will match the intensity of the magnetic field.
D. The filings will be clustered more densely where the field is weakest.
Statements A, B, and C are true.
Statement D is false.
The false statement is that iron filings will be clustered more densely where the magnetic field is weakest. In reality, the filings align more closely where the field is strongest. So the correct option is D.
Explanation:The false statement about iron filings placed upon glass resting on top of a bar magnet is that the filings will be clustered more densely where the field is weakest. To address the given statements:
A. True - The direction of the magnetic flux in the portion of a magnetic field outlined by the filings will be from the north pole of the magnet to the south pole.B. True - The filings will sit on the glass on curved paths between the north and south poles. This shows the pattern of the magnetic field.C. True - The density of the filings will match the intensity of the magnetic field; where lines are closer together, the field is stronger.D. False - The filings will be clustered more densely where the field is strongest, not weakest.Learn more about Magnetic Field Patterns here:https://brainly.com/question/34164423
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What protein are bones primarily made up of?
Collagen is the protein that holds together the different structures of the body, including skin and bones. This is because the collagen molecule has the ability to mix with many types of substances and minerals, and in the case of bone tissue, the combination of collagen with calcium crystals allows the formation of the hard and rigid structure necessary for healthy bones.
Note that this component is the most abundant in mammals, especially in their skin, and in the specific case of humans, corresponds to approximately [tex]25%[/tex] of the total mass of proteins in our body.
Which of the following statements best describes the characteristic of the restoring force in the spring-mass system described in the introduction?The restoring force is constant.The restoring force is directly proportional to the displacement of the block.The restoring force is proportional to the mass of the block.The restoring force is maximum when the block is in the equilibrium position.
Answer:
The restoring force is directly proportional to the displacement of the block.
Explanation:
For a spring-mass system, the restoring force is given by Hooke's Law:
F = -kx
where
F is the restoring force
k is the spring constant
x is the displacement of the block, attached to the end of the spring
As we see from the equation, the restoring force is directly proportional to the displacement of the block. So, the correct answer is
The restoring force is directly proportional to the displacement of the block.
The correct statement for the answer to the question is The style of recovery is directly proportional to the displacement of the block.
Further explanationRestoring force is a force whose magnitude is proportional to the deviation and is always in the opposite direction to the deviation. Restoring force that causes objects to move in simple harmonics. Simple Harmonic Motion is a movement back and forth around the balance point.
Terms of an object said harmonic include the following:
Its movements are periodic (back and forth).His movements always cross the balance position.The acceleration or force acting on an object is proportional to the position/deviation of the object.The direction of acceleration or force acting on an object always leads to a position of balanceHooke's law states that if the tensile force does not exceed the elastic limit of the spring, then the length of the spring is proportional to the tensile force. If a spring is disturbed so the spring is stretched (the spring is pulled) or docked (the spring is pressed), then the spring will work the restoring force whose direction is always toward the origin.
The force that arises in the spring to return its position to a state of equilibrium is called the recovery force on a spring. A large restoration force on the spring is proportional to the disturbance or deviation experienced by the spring.
Hooke's law can be stated in the following formula equation:
Fp = -k. Δy
(Note : The negative sign (-) in the formula is an indication that the direction of the recovery force always goes towards the point of balance that is opposite to the direction of the force of the cause)
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Details
Class: High School
Subject: Physics
Keyword: recovery force on a spring.
any help is appreciated please
Answer:
C. It speeds up, and the angle increases
Explanation:
We can answer by using the Snell's law:
[tex]n_i sin \theta_i = n_r sin \theta_r[/tex]
where
[tex]n_i, n_r[/tex] are the refractive index of the first and second medium
[tex]\theta_i[/tex] is the angle of incidence (measured between the incident ray and the normal to the surface)
[tex]\theta_r[/tex] is the angle of refraction (measured between the refracted ray and the normal to the surface)
In this problem, light moves into a medium that has lower index of refraction, so
[tex]n_r < n_i[/tex]
We can rewrite Snell's law as
[tex]sin \theta_r =\frac{n_i}{n_r}sin \theta_i[/tex]
and since
[tex]\frac{n_i}{n_r}>1[/tex]
this means that
[tex]sin \theta_r > sin \theta_i[/tex]
which implies
[tex]\theta_r > \theta_i[/tex]
so, the angle increases.
Also, the speed of light in a medium is given by
[tex]v=\frac{c}{n}[/tex]
where c is the speed of light and v the refractive index: we see that the speed is inversely proportional to n, therefore the lower the index of refraction, the higher the speed. So, in this problem, the light will speed up, since it moves into a medium with lower index of refraction.
In this lab you will use a simulation to explore the process of radioactive decay. You will examine how long it takes for an isotope to decay. In the space below, write a scientific question that you will answer by doing this experiment.
Answer:
Sample Response: How does the number of radioactive atoms change over time?
Explanation:
In a lab experiment on radioactive decay, a fitting scientific question could be 'What is the half-life of the given radioactive isotope?' This can be determined through the simulation by measuring the time it takes for half of the simulated atoms to decay.
Explanation:In this lab experiment revolving around the concept of radioactive decay, an appropriate scientific question could be: 'What is the half-life of the given radioactive isotope?' This question seeks to learn the amount of time it takes for half of an isotope's atoms to decay. During your radioactive decay simulation, you'll be able to measure this by observing how long it takes for half of your simulated atoms to decay.
Using the simulation, one can record the time at regular intervals and count the remaining isotopes. By plotting this data on a graph with time on the x-axis and the number of remaining isotopes on the y-axis, we can see a decay curve form due to the nature of radioactive decay. The half-life is found at the point where half of the isotopes remain.
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explain how forces of attraction and repulsion exist within an atom
Answer:
Oppositely charged particles attract each other, while like particles repel one another. Electrons are kept in the orbit around the nucleus by the electromagnetic force, because the nucleus in the center of the atom is positively charged and attracts the negatively charged electrons.
Explanation:
Answer:
There are three kinds of forces within the atom:
i) Electromagnetic force of attraction between the electrons and protons
ii) Electromagnetic force of repulsion between the protons or weak nuclear force
iii) Strong nuclear force between the electrons and protons
Explanation:
Electromagnetic force of attraction:
Electrons revolve in the orbits outside the nucleus. There exists an electromagnetic force of attraction between the electrons and protons. That’s why, electrons do not leave the atom.
Weak nuclear force:
It is an electromagnetic force of repulsion between the protons in the nucleus of the atoms.
Strong nuclear force:
This force is strongest from all the fundamentals forces and exists between the protons and neutrons in the nucleus of atom. This force overcomes the weak nuclear force and does not allow protons to stray away.
The energy transferred between samples of matter because of a difference in their temperatures is called
Heat is energy in transit, that is, transfer of (thermal) energy from one body or system to another.
In other words, when you have two bodies with different temperatures and thermal energy is transferred from one body to another, implying a high speed and kinetic energy in the particles involved, we are talking about heat.
When both bodies or the complete system reaches the thermal equilibrium (they are at the same temperature) the process is over and there is no heat.
6–23 an automobile engine consumes fuel at a rate of 22 l/h and delivers 55 kw of power to the wheels. if the fuel has a heating value of 44,000 kj/kg and a density of 0.8 g/cm3, determine the efficiency of this engine. answer: 25.6 percent
The question is about calculating the efficiency of an automobile engine given its fuel consumption rate, power output, fuel heating value, and fuel density. The efficiency of the engine was determined to be roughly 25.5 percent through a step-by-step calculation involving several unit conversions.
Explanation:The efficiency of an engine can be calculated using the formula: Eff = W/Qh, where W signifies the work output and Qh indicates the heat input to the engine. To calculate the efficiency of the automobile engine given in the problem, we first need to convert the power from kw to kj/s, fuel rate from l/h to kg/s and then find the heat input using the heating value of the fuel.
Convert Power to Joules: 55 kw = 55,000 J/s Convert Fuel Consumption to kg: 22 L/h * 0.8 g/cm3 = 17.6 kg/h = 4.89 g/s Calculate Heat Input: 44,000 kJ/kg * 4.89 g/s = 215,160 J/s Calculating Efficiency: Eff = 55,000 / 215,160 = 0.255 = 25.5%
Thus, the efficiency of this engine is approximately 25.5 percent.
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The efficiency of the engine, calculated as the output power divided by the input power, is 25.6%.
Explanation:To calculate the efficiency of the engine, we first have to determine the energy input and output.
The output is given directly as 55 kW.
For the input, we use the heat content and flow rate of the fuel.
The fuel consumption is 22 l/h, with a density of 0.8 g/cm³, which equals 17600 g/h.
The energy input, therefore, is 44,000 kJ/kg x 17.6 kg/h = 774400 kJ/h = 215 kWh.
Efficiency is defined as the output divided by the input, so in this case, the engine efficiency is
55 kW / 215 kW = 0.256, or 25.6% when expressed as a percentage.
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How does the average speed of light in glass compare with its speed in a vacuum?
Answer:
the speed of light in glass is 1.52 times smaller than in a vacuum
Explanation:
The speed of light in a medium is given by:
[tex]v=\frac{c}{n}[/tex]
where
c is the speed of light in a vacuum
n is the refractive index of the medium, which is a number always greater than 1.0
From the formula, we see therefore that when light enters a medium, its speed decreases.
In particular, for glass the index of refraction is
n = 1.52
Therefore, this means that the speed of light in glass is 1.52 times smaller than in a vacuum.
The surface temperature of the star Rigel is 12,000 K, its radius is 5.43 ✕ 10^10 m, and its emissivity is 0.955. Determine the total energy radiated by this star each second (in W). W
Answer: [tex]4.1602(10)^{21} W[/tex]
Explanation:
The Stefan-Boltzmann law establishes that a black body (an ideal body that absorbs or emits all the radiation that incides on it) "emits thermal radiation with a total hemispheric emissive power proportional to the fourth power of its temperature":
[tex]P=\sigma A T^{4}[/tex] (1)
Where:
[tex]P[/tex] is the energy radiated by a blackbody radiator per second, per unit area (in Watts). Knowing [tex]1W=\frac{1Joule}{second}=1\frac{J}{s}[/tex]
[tex]\sigma=5.6703(10)^{-18}\frac{W}{m^{2} K^{4}}[/tex] is the Stefan-Boltzmann's constant.
[tex]A[/tex] is the Surface of the body
[tex]T=12000K[/tex] is the effective temperature of the body (its surface absolute temperature) in Kelvin .
However, there is no ideal black body (ideal radiator) although the radiation of stars like our Sun is quite close.
Therefore, for the case of the star Rigel, we will use the Stefan-Boltzmann law for real radiator bodies:
[tex]P=\sigma A \epsilon T^{4}[/tex] (2)
Where [tex]\epsilon=0.955[/tex] is the star's emissivity
Now, firstly we need to find [tex]A[/tex], in the case of Rigel, its surface area can be approximated to a sphere, so:
[tex]A_{Rigel}=4 \pi r^{2}[/tex] (3)
[tex]A_{Rigel}=4 \pi (5.43(10)^{10}m)^{2}[/tex]
[tex]A_{Rigel}=3.705(10)^{22}m^{2}[/tex] (4)
Knowing this value, let's substitute it in (2):
[tex]P=(5.6703(10)^{-18}\frac{W}{m^{2} K^{4}})(3.705(10)^{22}m^{2})(0.955)(12000K)^{4}[/tex] (5)
[tex]P=4.1602(10)^{21}W[/tex] (6) This is the total energy radiated by Rigel each second.
To determine the total energy radiated by the star Rigel each second, we can use the Stefan-Boltzmann law. Given the temperature, radius, and emissivity of Rigel, we can calculate the surface area and use it to find the power radiated by the star.
Explanation:To determine the total energy radiated by the star Rigel each second, we can use the Stefan-Boltzmann law, which states that the power radiated by a black body is proportional to the fourth power of its temperature. The equation is given by:
Power = εσAT⁴
Where ε is the emissivity, σ is the Stefan-Boltzmann constant, A is the surface area of the star, and T is the temperature in Kelvin.
For Rigel, given its temperature (12,000 K), radius (5.43 × 10¹⁰ m), and emissivity (0.955), we can calculate the surface area:
A = 4πr²
A = 4π(5.43 × 10¹⁰)²
The power radiated by Rigel each second is:
Power = (0.955)(5.67 × 10⁻⁸)(4π(5.43 × 10¹⁰)²)(12,000⁴)
Calculate the power to get the answer.
Which of the following quantities would be acceptable representations of weight? Check all that apply.
12.0 lb
0.34 g
120 kg
1600 kN
0.34 m
411 cm
Only 12 lb and 1600 kN .
How does the number of neutrinos passing through your body at night compare with the number passing through your body during the day?
Answer:
c)While the amount of neutrinos passing through the Earth does not change much, there is something that changes to you at night. You stop moving and sleep for several hours.
Think of Neutrinos like rain. During the day you can avoid rain, and run from one dry spot to another(like from a car to a house). At night, however, your asleep, so the rain will hit you for eight hours(if your sleeping outside with no tent for some reason).
What type of electron is available to form bonds
Answer:
The electrons that are available to form bonds are known as valence electrons.
Explanation:
Which of the following is true of semiconductors? A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal. B. A material is classified as a semiconductor if its resistance to the flow of electric current is too low to permit it to be called a conductor. C. Neither free electrons nor holes are considered charge carriers in a semiconductor. D. Gold and silver are important semiconductors
Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal is true of semiconductors. Correct option is A.
This statement is true. Semiconductors are materials with electrical conductivity that is between that of conductors (such as metals) and insulators (such as rubber or wood). When a semiconductor crystal is exposed to heat or light, it can release or promote electrons from the valence band to the conduction band, creating charge carriers (free electrons and holes). These charge carriers are essential for the operation of semiconductor devices like diodes and transistors, which form the basis of modern electronics.
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A water pump with a power of 3.4 × 102 watts lifts water at the rate of 7.5 × 10-2 meters/second from a water tank. What is the force exerted by the pump on the water?
A.
1.5 × 103 newtons
B.
2.2 × 103 newtons
C.
4.5 × 103 newtons
D.
5.4 × 103 newtons
The answer is:
The correct option is:
C. [tex]4.5x10^{3}N[/tex]
Why?To calculate the force exerted by the pump, we must remember the formula to calculate power, also, we must remember that power means work done in a determined period of time.
We have that power can be calculated by the following equation:
[tex]Power(W)=F*V=N.\frac{m}{s}=\frac{N.m}{s}=1Watt[/tex]
So, we are given the following information:
[tex]Power=3.4x10^{2}W=340W=340\frac{N.m}{s}\\\\V=\frac{7.5x^{-2}m }{s}=\frac{0.075m}{s}[/tex]
Now, substituting and calculating we have:
[tex]Power(W)=F*V[/tex]
[tex]340\frac{N.m}{s}=F*\frac{0.075m}{s}[/tex]
[tex]F=\frac{340\frac{N.m}{s}}{\frac{0.075m}{s}}=4,533N=4.5x10^{3}N[/tex]
Hence, the correct option is:
C. [tex]4.5x10^{3}N[/tex]
Have a nice day!
Answer:
C. 4.5 × 103 newtons on Plato
How are meteors and meteorites different?
A meteor is the flash of light that we see in the night sky when a small chunk of interplanetary debris burns up as it passes through our atmosphere. "Meteor" refers to the flash of light caused by the debris, not the debris itself.
If any part of a meteoroid survives the fall through the atmosphere and lands on Earth, it is called a meteorite.
When meteoroids enter Earth's atmosphere at high speed and burn up, or “shooting stars” are known as meteors. When a meteoroid survives a through the atmosphere and hits the ground, it's known as a meteorite.
What are Meteorite and meteor?Two asteroids collide with each other, and their pieces from asteroids after the collision is called a meteorite.
When a meteorite hits the earth’s atmosphere at a high velocity, which makes a fireball. Therefore, shooting stars are meteors and are different types of meteors, according to their sizes and brightness.
Earth grazer's meteors streak close to the horizon. Fireballs are bright and more long-lasting than earth grazers. Meteors do not land while meteorites land on the surface of the earth.
Meteoroids break down in the atmosphere as a flash of light known as meteors. Meteorites can be described as broken meteoroids that land on the earth.
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Suppose we could shrink the Earth without changing its mass. At what fraction of its current radius would the free-fall acceleration at the surface be three times its present value?
Answer:
[tex]R' = \frac{1}{\sqrt{3}}R[/tex]
Explanation:
The acceleration due to gravity on the surface of the Earth is given by:
[tex]g=\frac{GM}{R^2}[/tex]
where
G is the gravitational constant
M is the mass of the Earth
R is the radius of the Earth
Here we want to find the new Earth radius R' for which the gravitational acceleration at the surface, g', would be 3 times the current value of g:
[tex]g' = 3g[/tex]
So we would have
[tex]\frac{GM}{R'^2}=3(\frac{GM}{R^2})[/tex]
Solving the equation for R', we find
[tex]R'^2 = \frac{1}{3}R^2\\R' = \frac{1}{\sqrt{3}}R[/tex]
The fraction of the Earth's current radius at which the free-fall acceleration at the surface would be three times its present value is √3/3.
Explanation:To find the fraction of its current radius at which the free-fall acceleration at the surface of the Earth would be three times its present value, we need to understand the relationship between the radius and gravitational force. The gravitational force is inversely proportional to the square of the radius. Therefore, if we shrink the Earth's radius to a fraction x, the gravitational force would increase by a factor of (1/x^2).
Let's set up an equation using this relationship:
3 * present acceleration = (1/x^2) * present acceleration
Simplifying the equation, we get:
x^2 = 1/3
Taking the square root of both sides, we find:
x = √(1/3) = 1/√3 = 1/√3 * √3/√3 = √3/3
Therefore, the fraction of the Earth's current radius at which the free-fall acceleration at the surface would be three times its present value is √3/3.
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17. Alyssa just bought a new set of string lights for her bedroom. She decided to use the lights to outline her mirror. The lights are on a series circuit. If Alyssa were to buy more lights so that they can go all around her bedroom, what will happen to following quantities?:
a. The resistance of the entire circuit will (increase/decrease).
b. The current through each bulb will (increase/decrease).
c. The voltage available to each bulb will (increase/decrease).
a. The resistance will increase
b. The current will decrease
c. The voltage through each bulb will
Explanation:
a. For a series of resistors, the equivalent resistance is given by
[tex]R=R_1+R_2+...+R_n[/tex]
so, we see that adding more resistors in series, will increase the total resistance.
b. In a series circuit, the current through each bulb is the same for each bulb, and it is equal to the current flowing in the circuit, which is given by Ohm's law
[tex]I=\frac{V}{R}[/tex]
where V is the voltage supplied by the battery and R the total resistance of the circuit. Since the voltage provided by the battery, V, does not change, while the total resistance R increases, the current I will increase.
c. The voltage through each bulb is given by
[tex]V=R_i I[/tex]
where R_i is the resistance of the individual resistor and I is the current. Since the value of R_i does not change, while I (the current) has decreased, the voltage available to each bulb, V, will decrease.
Blood pressure is the force exerted against the
Blood pressure is the force that blood exerts when circulating through our body (if it is considered as a fluid) on the internal walls of veins, blood vessels and especially the arteries.
In this sense, arteries are the "conduits" that carry blood from the heart to various parts of the body, analogous to the water flow in the pipes of a house. So, each time a person's heart beats, it pumps blood to the arteries and from there it is distributed throughout the body.
Now, this blood pressure is divided into two terms:
Systolic pressure: When the heart is pumping blood and the force exerted on the arteries is high.
Diastolic pressure: When the heart is at rest (between heartbeats) and the pressure in the arterial walls is low.
Another important factor in blood pressure is the extent to which the arteries exert resistance to the circulation of the blood flow, depending on how narrow or wide they are and the amount of blood that passes through them.
In other words, this pressure is determined by two main aspects:
-The amount of blood pumped and the force it exerts on the arteries.
-The size and flexibility of these arteries.
Finally, it is important to note this process is a basic part of life and is one of the main vital signs when testing the health status of a person.
How do comets, asteroids, and meteorites influence life on Earth?
Answer: More than 48 tons of debris falls into Earth’s atmosphere every day and asteroid impacts have literally shaped Earth resulting craters from large objects crashing into the crust. Upon impact, vaporized dirt and rock would fill the atmosphere, blocking sunlight and causing winter like conditions
Explanation:
Final answer:
Comets, asteroids, and meteorites influence life on Earth through global catastrophes, the formation of essential elements, and the shielding effect of large outer planets.
Explanation:
Comets, asteroids, and meteorites influence life on Earth in several ways. Firstly, the impacts of comets and asteroids can cause global catastrophes, leading to the extinction of species and significant changes in the evolution of life on the planet. These impacts release large amounts of energy, change the climate, and create widespread destruction.
Additionally, the debris from comets and asteroids, such as dust and organic compounds, can contribute to the formation of life on Earth by providing essential elements like water and organic materials. Moreover, the gravitational fields of large outer planets in our solar system can help shield Earth from more frequent and larger impacts. Therefore, comets, asteroids, and meteorites play a crucial role in shaping and influencing life on Earth.
A 2.0-kg ball moving eastward at 3.0 m/s suddenly collides with and sticks to a 4.0-kg ball moving northward at 2.0 m/s. What is the magnitude of the momentum of this system just after the collision?
Answer:
10 kg m/s
Explanation:
According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision. So, we can simply calculate the total momentum before the collision.
The two balls are moving in perpendicular directions - one eastward and one northward. If we take eastward as positive x-direction and northward as positive y-direction, this means that we can find the magnitude of the total momentum by simply using Pythagorean theorem.
The magnitude of the momentum of the ball travelling eastward is:
[tex]p_1 = m_1 v_1 = (2.0 kg)(3.0 m/s)=6.0 kg m/s[/tex]
The magnitude of the momentum of the ball travelling northward is:
[tex]p_2 = m_2 v_2 = (4.0 kg)(2.0 m/s)=8.0 kg m/s[/tex]
So the magnitude of the total momentum is:
[tex]p=\sqrt{p_1^2 +p_2^2}=\sqrt{(6.0)^2+(8.0)^2}=10kg m/s[/tex]
A particle with a charge of 3.00 elementary charges moves through a potential difference of 4.50 volts. What is the change in electrical potential energy of the particle?
The change in electrical potential energy can be calculated using the equation EPE = q x ΔV, where q is the charge of the particle and ΔV is the potential difference. Plugging in the given values, we find that the change in electrical potential energy is 13.50 elementary charge volts.
Explanation:The change in electrical potential energy of a particle can be calculated using the equation:
EPE = q × ΔV
Where:
EPE is the change in electrical potential energy q is the charge of the particle ΔV is the potential difference
Plugging in the given values: q = 3.00 elementary charges and ΔV = 4.50 volts, we can calculate the change in electrical potential energy.
EPE = 3.00 × 4.50 = 13.50 elementary charge volts
Suppose you have to move a heavy crate of weight 875 N by sliding it along a horizontal concrete floor. You push the crate to the right with a horizontal force of magnitude 300 N, but friction prevents the crate from sliding. What is the magnitude Fp of the minimum force you need to exert on the crate to make it start sliding along the floor? Let the coefficient of static friction ?s between the crate and the floor be 0.56 and that of kinetic friction, ?k, be 0.47.
Answer:
490 NExplanation:
1) Data:
a) W = 875 N
b) Fx = 300 N (right direction = positive)
c) Fp = ?
d) μs = 0.56
e) μk = 0.47
2) Physical principles and formulae:
a) For sliding, Fp ≥ μs × N, where Fp = μs × N is the magnitud of the minimum force need to exert on the crate to make it start sliding
3) Solution:
a) Free body diagram
The balance of the vertical forces implies that the normal force (N) equals the weight (W) of the crate:
N = W = 875 Nb) Fp = μs × N = 0.56 × 875 N = 490 N ← answer
Remarks:
Since the minimum force to make the crate start sliding along the floor is 490 N, when you push the crate to the right with a horizontal force (Fx) of magnitude 300N, the crate will not move.You use the coefficient of static friction, μs, to determine the amount of force needed to make the crate start sliding. The coefficient of kinetic friction, μk, is used once the object is in motion, not before.To calculate the minimum force required to make the crate slide, we multiply the coefficient of static friction by the normal force, yielding about 490 N as the minimum required force required to overcome friction and start moving the crate.
Explanation:The subject of this question is the concept of friction in physics. Specifically, we're looking at how much force is required to overcome static friction and start the motion of a crate on a concrete floor. The static friction force can be determined by multiplying the coefficient of static friction (0.56) with the normal force, which in this case is the weight of the crate (875 N). Therefore, the static friction force would be 0.56 * 875 N = 490 N. This is the force that must be overcome to start sliding the crate. Since the applied force of 300 N is not enough to overcome this friction, the minimum force you need to exert on the crate to start it sliding is about 490 N.
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A 2.50-g sample of powdered zinc is added to 100.0 mL of a 2.00-M aqueous solution of hydrobromic acid in a calorimeter. The total heat capacity of the calorimeter and solution is 448 J/K. The observed increase in temperature is 21.1 K at a constant pressure of one bar. Using these data, calculate the standard enthalpy of reaction.Zn(s) + 2HBr(aq) --> ZnBr2(aq) + H2(g)
Answer:
247 kJ/mol
Explanation:
Zn(s) + 2HBr(aq) → ZnBr₂(aq) + H₂(g)
First, we need to find the limiting reactant. And to do that, we need to find the amount of moles of each reactant.
2.50 g Zn * (1 mol / 65.38 g) = 0.03824 mol Zn
0.1000 L * 2.00 mol/L = 0.200 mol HBr
Since 1 mol of Zn reacts with 2 mol of HBr, it is clear that Zn is the limiting reactant.
The amount of heat can be calculated as:
q = (448 J/K) * (21.1 K)
q = 9452.8 J
So the standard enthalpy of reaction is:
ΔH = (9452.8 J) / (0.03824 mol Zn)
ΔH = 247 kJ/mol
A voltmeter is a device that measures _____. The type of charge on a resistor. The current through a resistor. The voltage across a resistor. The total current of the circuit.
A voltmeter is an instrument used to measure the voltage across a component in an electric circuit, and it must be connected in parallel with the component. It operates on the principles of Ohm's law and contains a high-value internal resistor to measure the voltage accurately without significantly influencing the current in the circuit.
A voltmeter is a device specifically designed to measure the voltage across a resistor or any two points in a circuit. When using a voltmeter, it's important to connect it in parallel with the component whose voltage you want to measure. This is to ensure that it measures the full voltage and that its high internal resistance does not significantly alter the current in the circuit. Voltmeters can come in analog form, where a needle moves across a scale, or as a digital voltmeter, which provides a numeric display.
The internal workings of a voltmeter involve it being similar to an ammeter, but with an additional high-value resistor. According to Ohm's law, the current through a resistor is directly proportional to the voltage across it. Hence, the voltmeter can be calibrated to measure volts based on the known value of the internal resistor.