Answer:
A the distance between the positive charge and the electron
B the charge on the electron
D the charge of the positive charge
Explanation:
The electric field produced by the positive charge Q at the location of the electron is given by
[tex]E=k\frac{Q}{r^2}[/tex]
where
k is the Coulomb constant
Q is the charge
r is the distance between the charge Q and the electron
The force exerted on a charged particle by an electric field is given by
[tex]F=qE[/tex]
where q is the magnitude of the charged particle. So, the force exerted on the electron in this problem is
[tex]F=eE = k\frac{eQ}{r^2}[/tex]
where e is the charge of the electron. As we see from the equation, the force depends only the following quantities:
A the distance between the positive charge and the electron (r)
B the charge on the electron (e)
D the charge of the positive charge (Q)
Final answer:
The force on an electron in an electric field depends on the distance between the positive charge and the electron, the charge on the electron, and the charge of the positive charge. Factors such as the masses and radii of the charges do not directly affect the electrostatic force.
Explanation:
An electric field is created by electric charges and can exert a force on other charges within the field. The force on an electron in an electric field created by a positive point charge depends on several factors. Let's identify these dependencies.
A. The distance between the positive charge and the electron: The force is inversely proportional to the square of the distance between the charges (r2).
B. The charge on the electron: The electrostatic force exerted on the electron is proportional to the magnitude of its charge.
D. The charge of the positive charge: The magnitude of the electric field, and therefore the force on the electron, is proportional to the charge of the positive point charge (Q).
The mass of the electron (C), the mass of the positive charge (E), the radius of the positive charge (F), and the radius of the electron (G) do not affect the electrostatic force the electron experiences.
A group of particles in a magnetic material whose magnetic fields line up with each other is called a ____________?
If you place a free electron and a free proton in the same electric field, how will the forces acting on them compare? How will their accelerations compare? Their directions of travel?
Answer:
The forces (magnitude) would be the same; the electron would have a larger acceleration, and they will travel in opposite directions
Explanation:
- The magnitude of the force exerted on a charged particle by an electric field is
[tex]F=qE[/tex]
where q is the magnitude of the charge and E is the electric field strength. Since the proton and the electron have same electric charge magnitude (e, elementary charge), they will experience the same force under the same electric field.
- The acceleration of a particle is given by
[tex]a=\frac{F}{m}[/tex]
where F is the force exerted on the particle and m is the mass. Here, we said that the electron and the proton experience the same force F, however the mass of the proton is much larger (approx. 1800 times larger) than the mass of the electron, so the electron will experience a larger acceleration (because acceleration is inversely proportional to the mass)
- The direction of travel corresponds to the direction of the force. Since the proton is positively charged, the force exerted on it has same direction as the electric field; while since the electron is negatively charged, the force exerted on it has opposite direction to the electric field. Therefore, the two particles will travel into opposite directions.
1. Place the following taxonomic groups in order, from largest to smallest: class, domain, family, genus, kingdom, order, phylum, species, subspecies.
2. How does genetic diversity affect a population's chances of survival?
1. Domain, kingdom, phylum, class, order, family, genus, species, and subspecies.
2. If a variety of the species with a certain gene is vulnerable to a specific disease, predator, or environmental development, other members of the species with variants of the gene may be better equipped to handle the problem, and the species won't die out, just a portion of the disadvantaged.
The taxonomic groups are ordered from largest to smallest as: domain, kingdom, phylum, class, order, family, genus, species, and subspecies. Genetic diversity promotes survival of a population by offering variability that could be beneficial in changing environments.
Explanation:The taxonomic groups from largest to smallest are: domain, kingdom, phylum, class, order, family, genus, species, and subspecies. Genetic diversity significantly determines a population's chances of survival. A wide genetic diversity allows a population to be more resilient to changes in the environment as it reduces the chance of the entire population being wiped out by a single threat. For instance, in a disease outbreak, a genetically varied population is more likely to contain individuals with resistance, ensuring survival of the population.
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A light-year is a measure of distance (not time). how many meters does light travel in a year? one year is 3.156×107s. g
Answer:
[tex]9.45\cdot 10^{15} m[/tex]
Explanation:
The speed of light in a vacuum is:
[tex]c=3.0\cdot 10^8 m/s[/tex]
The distance that light travels in a time t is given by
[tex]d=ct[/tex]
where t is the time.
One year corresponds to a time of
[tex]t=3.156\cdot 10^7 s[/tex]
So, the distance travelled by the light in one year is
[tex]d=(3.0 \cdot 10^8 m/s)(3.156\cdot 10^7 s)=9.45\cdot 10^{15} m[/tex]
Think of a time where you have observed someone's behavior and been encouraged to do the same. What did you do? Was it a good or bad action? Would you do it again?
Answer:
i'm not sure if you are asking as a personal question or a book question so i'm taking it personal.
Explanation:
I was doing a simple task that was handed to me to test my responsibility and I agreed (knowing i am responsible :3). my first thought was "man , this is easy!" but then i started seeing the other kids slaking off and quiting their tasks. I thought that was against the rules, but then i saw my bff doing it too and i thought "this should be ok then!" so i did the same. other kids where still doing it. the teacher came, saw the ones still working and smiled... but when the teacher looked at the ones slaking off omg... his face was like * im gonna kill yall* we took one big gulp and whined. the teacher awarded the ones who completed the task... the others , we had to do our original task but doubled... for 3 weeks!!! it was awful!!!
I WOULD NEVER DO THAT AGAIN!!!
I observed a classmate cheating during a test, but I chose not to follow their lead. Cheating is unethical and goes against the principles of honesty and integrity. I would not repeat such actions in the future.
Explanation:In Social Studies, I observed a situation where a classmate was directly copying another student's answers during a test. Seeing their behavior, I was encouraged to cheat and copy answers. However, I realized that this was a bad action as it goes against the principles of honesty and integrity. I chose not to follow their lead and instead completed the test using my own knowledge.
Cheating is unethical and can have serious consequences. It undermines the learning process and breeds a culture of dishonesty. I would not repeat such actions in the future, as it is important to prioritize integrity and personal growth.
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A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 20 ft from the wall? Answer with 2 decimal places.
Let [tex]x[/tex] be the distance between the base of the ladder and the bottom of the wall, and [tex]y[/tex] the distance between the top of the ladder and the bottom of the wall, so that
[tex]x^2+y^2=(25\,\mathrm{ft})^2[/tex]
Differentiate both sides with respect to time [tex]t[/tex]:
[tex]2x\dfrac{\mathrm dx}{\mathrm dt}+2y\dfrac{\mathrm dy}{\mathrm dt}=0[/tex]
When [tex]x=20\,\rm ft[/tex], the top of the ladder is
[tex]y=\sqrt{(25\,\mathrm{ft})^2-(20\,\mathrm{ft})^2}=15\,\mathrm{ft}[/tex]
above the ground. Then, given that the bottom of the ladder slides away from the wall at a rate of [tex]\dfrac{\mathrm dx}{\mathrm dt}=0.18\dfrac{\rm ft}{\rm s}[/tex], we have
[tex]2(20\,\mathrm{ft})\left(0.18\dfrac{\rm ft}{\rm s}\right)+2(15\,\mathrm{ft})\dfrac{\mathrm dy}{\mathrm dt}=0\implies\dfrac{\mathrm dy}{\mathrm dt}=-0.24\dfrac{\rm ft}{\rm s}[/tex]
That is, the top of the ladder is sliding downward at a rate of 0.24 ft/s.
The top of the ladder is sliding down the wall at a rate of approximately 0.576 ft/sec.
Explanation:To determine how fast the top of the ladder is sliding down the wall, we can use related rates. Let's denote the distance from the bottom of the ladder to the wall as x and the distance from the top of the ladder to the ground as y. From the given information, we have dx/dt = -0.18 ft/sec (negative because the bottom of the ladder is sliding away from the wall) and we want to find dy/dt when x = 20 ft. Using the Pythagorean theorem, we have x^2 + y^2 = 25^2. Differentiating both sides with respect to time, we have 2x(dx/dt) + 2y(dy/dt) = 0. Substituting the known values, we can solve for dy/dt when x = 20 ft.
So, when the bottom of the ladder is 20 ft from the wall, the top of the ladder is sliding down the wall at a rate of approximately 0.576 ft/sec.
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If the work function of a material is such that red light of wavelength 700 nm just barely initiates the photoelectric effect, what must the maximum kinetic energy of ejected electrons be when violet light of wavelength 400 nm illuminates the material?
Express your answer with the appropriate units.
Kmax = J
Answer: [tex]2.13(10)^{-19} J[/tex]
Explanation:
The photoelectric effect consists of the emission of electrons (electric current) that occurs when light falls on a metal surface under certain conditions.
If the light is a stream of photons and each of them has energy, this energy is able to pull an electron out of the crystalline lattice of the metal and communicate, in addition, a kinetic energy.
This is what Einstein proposed:
Light behaves like a stream of particles called photons with an energy [tex]E[/tex]
[tex]E=h.f[/tex] (1)
Where:
[tex]h=6.63(10)^{-34}J.s[/tex] is the Planck constant
[tex]f[/tex] is the frequency
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 and [tex]\lambda=400nm=400(10)^{-9}m[/tex] is the wavelength of the absorbed photons in the photoelectric effect.
Substituting (2) in (1):
[tex]E=\frac{h.c}{\lambda}[/tex] (3)
So, the energy [tex]E[/tex] of the incident photon must be equal to the sum of the Work function [tex]\Phi[/tex] of the metal and the maximum kinetic energy [tex]K_{max}[/tex] of the photoelectron:
[tex]E=\Phi+K_{max}[/tex] (4)
Rewriting to find [tex]K_{max}[/tex]:
[tex]K_{max}=E-\Phi[/tex] (5)
Where [tex]\Phi[/tex] is the minimum amount of energy required to induce the photoemission of electrons from the surface of a metal, and its value depends on the metal:
[tex]\Phi=h.f_{o}=\frac{h.c}{\lambda_{o}}[/tex] (6)
Being [tex]\lambda_{o}=700nm=700(10)^{-9}m[/tex] the threshold wavelength (the minimum wavelength needed to initiate the photoelectric effect)
Substituting (3) and (6) in (5):
[tex]K_{max}=\frac{h.c}{\lambda}-\frac{h.c}{\lambda_{o}}[/tex]
[tex]K_{max}=h.c(\frac{1}{\lambda}-\frac{1}{\lambda_{o}})[/tex] (7)
Substituting the known values:
[tex]K_{max}=(6.63(10)^{-34}J.s)(3(10)^{8}m/s)(\frac{1}{400(10)^{-9}m}-\frac{1}{700(10)^{-9}m})[/tex]
[tex]K_{max}=2.13(10)^{-19} J[/tex] >>>>>This is the maximum kinetic energy that ejected electrons must have when violet light illuminates the material
As the photoelectric effect takes place, the maximum kinetic energy of ejected electrons is obtained to be [tex]2.13\times 10^{-19}\,J[/tex].
Photoelectric EffectEinstein's photoelectric effect equation is given as;
[tex]KE_{max}=h\nu - \Phi[/tex]
But the work function can be written as;
[tex]\Phi = h \nu_0=\frac{hc}{\lambda _0}[/tex]
Therefore, the photoelectric equation can be rewritten as
[tex]KE_{max}=\frac{hc}{\lambda} - \frac{hc}{\lambda _0}= hc\,(\frac{1}{\lambda}+ \frac{1}{\lambda_0} )[/tex]
Now, substituting the known values, we get;
[tex]KE_{max}= (6.6\times 10^{-34}\,Js)\times (3\times 10^8\,m/s)\times(\frac{1}{400\times 10^{-9}\,m}- \frac{1}{700\times 10^{-9}\,m} )\\\\\implies KE_{max}=2.13\times 10^{-19}\,J[/tex]
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Pollex is the medical term for which of these parts of the human body?
Answer:
hand/thumb/finger
Explanation:
Final answer:
The term 'pollex' refers to the thumb, which is an essential digit of the hand for grasping and manipulating objects. It has two phalanx bones and a special structure that allows for a significant range of movement.
Explanation:
The medical term pollex refers to digit 1 of the hand, which is more commonly known as the thumb. The thumb is an essential part of the hand that allows for a wide range of movements and functions, such as grasping, holding, and manipulating objects. The pollex, or thumb, has two types of phalanx bones: the proximal and distal phalanges.
In the context of the human skeleton, the pollex is part of the upper limb anatomy which contains various bones including the bones of the arm, forearm, wrist, and hand. Its unique structure, having only two phalanx bones compared to three in the other digits, allows for the thumb's increased range of motion and the ability to oppose the fingers.
How much current (in amps) does a 240- watt appliance draw when plugged into a typical 120-volt outlet in your home?
Sam blew up a balloon and rubbed it on his head. Then he stuck the balloon on the wall. This was all the result of electrostatics or the transfer of charge. The appearance of negative charge on a balloon is the result of its gaining electrons. And these electrons must come from somewhere; in this case, from Sam's hair. Electrons are transferred in any charging process. In the case of charging by friction, they are transferred between the two objects being rubbed together. Prior to the charging, both objects are electrically neutral and the situation obeys the law of conservation of charge. How does the law of conservation of charge explain Sam and his balloon?
A) Friction creates charge that collected on the balloon.
B) The balloon gained electrons; Sam's hair gained protons.
C) If the balloon acquires charge, Sam's hair loses charge.
D) The net charge before is zero; the net charge after is negative.
Ben and Jerry, arch rivals, decide to have a weight lifting contest during PE. Ready, set, go! Ben and Jerry both lift a 250 kg barbell 10 times over their heads. They are approximately the same height and lift the barbell the same distance in the air. It takes Ben 5 seconds to complete 10 lifts; it takes Jerry 25 seconds to complete his 10 lifts.
Which statement is MOST accurate regarding the weightlifting contest?
A) Ben did more work than Jerry.
B) Ben has more power than Jerry.
C) Ben and Jerry have the same power.
D) Ben does more work and is more powerful than Jerry.
Answer: If the balloon acquires charge, Sam's hair loses charge.
Explanation:
I JUST GOT THIS QUESTION RIGHT ON THE IA4 <3
Answer: C. If the balloon acquires charge, Sam's hair loses charge.
B. Ben has more power than Jerry.
Explanation: I took the test and these answers are correct. Have a nice day! :)
How are forests affected by seasonal and long-term changes in temperature, precipitation, and sunlight? How do those changes affect biodiversity
Climate Change's Impact onEnvironment. Greenhouse gases, such as carbon dioxide, absorb heat fromsunlight, preventing it from escaping back into space. ... Though the Earth's climate has changed in the past, therapid severity of this change willdirectly affect ecosystems andbiodiversity.
Forests are impacted by seasonal and long-term changes in temperature, precipitation, and sunlight, affecting biodiversity. Adaptations are key for species survival in different biomes.
Forests are affected by seasonal and long-term changes in temperature, precipitation, and sunlight. For example, changes in temperature can alter the timing of plant growth and affect animal behavior. Changes in precipitation can impact soil moisture levels and plant distribution, while sunlight availability affects photosynthesis rates and overall ecosystem productivity.
These changes can significantly impact biodiversity in forests. Shifts in temperature and precipitation patterns can lead to changes in plant composition and distribution, which in turn affect the animals dependent on those plants for food and habitat. Changes in sunlight availability can also influence the types of plants that thrive in a particular forest, further shaping the biodiversity within the ecosystem.
Adaptations, such as those to extreme cold and dryness, play a crucial role in how plants and organisms survive in different biomes. These adaptations are essential for species to cope with the varying environmental conditions within forests and other ecosystems.
Describe how fuses and circuit breakers protect against electrocution and household fires. How do you restore a broken circuit after the problem has been corrected?
Answer:
Explanation: A fuse or a circuit breaker automatically disconnects a circuit from the electric power the moment more current is drawn than its design allows. Electrical codes require one or the other to be installed at the point where power first enters a building. The electric supply to a home is usually divided into several circuits, each with its own fuse or breaker, of a rating appropriate for the thickness of the circuit's wires. That way, if the power is interrupted in part of the home, the rest of the home stays connected.
Fuses protect appliances from power surges, prevent metal casings from being electrified, and prevent electrocution by breaking when a wire becomes too hot, interrupting the electrical current and flow.
What is short circuit ?A short circuit causes excessive flow of current in the wire.As we know that the flow of current is due to the amount of charge flowing in the wire.
Fuses protect appliances from power surges, prevent metal casings from being electrified, and prevent electrocution by breaking when a wire becomes too hot, interrupting the electrical current and flow.
Due to movement of large number of electron in the wire or circuit with an intended path cause the short circuit in the wire.
If your circuit breaker continues tripping, there's probably a problem with the circuit. A short circuit in one of the appliances or in the wiring might be the cause.
It's possible that the breaker is tripping due to a ground fault. A circuit overload is possible.
Hence, fuses and circuit breakers protect against electrocution and household fires by breaking the circuit.
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What is the mathematical equation for calculating the force on a charged particle moving through a magnetic field? Identify each variable.
Answer:F = qv * Bsin( θ)
F : Magnetic force
q : charge of the particle
v : velocity of the particle
B: magnetic field
θ: angle between v and B
Explanation:
Answer:
F = qv * Bsin( θ)
F : Magnetic force
q : charge of the particle
v : velocity of the particle
B: magnetic field
θ: angle between v and B
Explanation:
The slight negative charge at one end of one water molecule is attracted to the slight positive charge of another water molecule. What is this attraction called?
The Voyager I spacecraft has traveled farther than any other man-made object, and in August 2012 it entered into interstellar space when it was a distance of 1.8 x 10^13 m from Earth.
How many hours elapse between the time a command is sent from Earth and the time the command is received by Voyagerwhen it entered interstellar space? Express your answer using two significant figures.
Answer:
17 h
Explanation:
The command sent to the Voyager I is a radio wave signal, which travels at the speed of light:
[tex]c=3.0\cdot 10^8 m/s[/tex]
The distance between the Voyager I and the Earth is
[tex]d=1.8\cdot 10^{13} m[/tex]
So, the time taken for the signal to reach the probe is
[tex]t=\frac{d}{c}=\frac{1.8\cdot 10^{13} m}{3\cdot 10^8 m/s}=60,000 s[/tex]
Consindering that the number of seconds in 1 hour is
[tex]60\cdot 60 = 3600 s[/tex]
Then the time elapsed converted into seconds is
[tex]t=\frac{60000 s}{3600 s}=16.7 h \sim 17 h[/tex]
Final answer:
To determine the transmission time for a command sent to Voyager 1 when it entered interstellar space, we calculate the time for light to travel the distance of 1.8 x 10¹³ meters, which comes to approximately 16.67 hours.
Explanation:
The Voyager 1 spacecraft is known for being the farthest human-made object from Earth. When it entered interstellar space in August 2012, it was 1.8 x 10¹³ meters away from our planet. To calculate the time taken for a command to travel this distance, we use the speed of light, which is approximately 299,792,458 meters per second. The formula to calculate the time (t) taken for light to travel a certain distance (d) is t = d / c, where c represents the speed of light.
For Voyager 1:
First, we convert the distance to meters if it's not already: 1.8 x 10¹³ m.Next, we calculate the time needed for a signal to travel this distance: t = 1.8 x 10¹³ m / 299,792,458 m/s ≈ 60016.57 seconds.Lastly, we convert the time from seconds to hours: 60016.57 s ≈ 16.67 hours.Therefore, about 16.67 hours elapse between the time a command is sent from Earth and the time it is received by Voyager 1 when it entered interstellar space.
The free-fall acceleration at the surface of planet 1 is 26 m/s^2 . The radius and the mass of planet 2 are twice those of planet 1.
What is the free-fall acceleration on planet 2? Express your answer using two significant figures. m/s^2.
Answer:
13 m/s^2
Explanation:
The acceleration of gravity near the surface of a planet is:
g = MG / R^2
For planet 1, g = 26 m/s^2.
The gravity on planet 2 in terms of the mass and radius of planet 1 is:
g = (2M)G / (2R^2)
g = 1/2 MG / R^2
Since MG/R^2 = 26 m/s^2, then:
g = 13 m/s^2
The free-fall acceleration on planet 2 is "13 m/s²".
According to the question,
→ [tex]g_1 = \frac{GM_1}{R_1^2}[/tex]
[tex]= 26 \ m/s^2[/tex]
→ [tex]g_2 = \frac{GM_2}{R_2^2}[/tex]
[tex]M_2 = 2M_1[/tex][tex]R_2 = 2R_1[/tex]Now,
→ [tex]g_2 = \frac{G(2M_1)}{(2R_1)^2}[/tex]
[tex]= \frac{2GM_1}{4R_1^2}[/tex]
[tex]= \frac{1}{2} (\frac{GM_1}{R^2} )[/tex]
[tex]= \frac{1}{2} g_1[/tex]
[tex]= \frac{1}{2}\times 26[/tex]
[tex]= 13 \ m/s^2[/tex]
Thus the above answer is right.
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Climates are defined by temperature and precipitation. Please select the best answer from the choices provided T F
Answer:
True
Explanation:
Answer: True
Explanation:
Climate is an average condition of weather for 30 years in a particular region. It can be measured on the basis of humidity, temperature, precipitation, wind speed and others.
The climates are generally define by the temperature and precipitation. The temperature may vary from cold to hot. The precipitation may also decide the climatic condition of a region such as the area which receives very low rainfall is expected to have dry and hot climatic condition.
A 400.0 ohm resistor has a potential difference of 20.0 volts. What is the magnitude of the power dissipated by the resistor
P=IV, where P is power, I is resistance, and V is voltage. Plug in and solve:
P=400(20)
P=8000W
Hope this helps!!
To calculate the power dissipated by a 400.0 ohm resistor with a 20.0 volt potential difference, use the formula [tex]P = V^{2}/R[/tex], yielding a result of 1.0 watt.
The magnitude of the power dissipated by a resistor can be calculated using the formula [tex]P = I^{2}R or P = V^{2}/R[/tex], where P is the power in watts, I is the current in amperes, V is the potential difference in volts, and R is the resistance in ohms.
Given a 400.0 ohm resistor with a potential difference of 20.0 volts, we can use the formula [tex]P = V^{2}/R[/tex] to find the power dissipated. Thus, P = (20.02)/400.0 = 400/400 = 1.0 watt.
You need to make a spring scale to measure the mass of objects hung from it. You want each 2.3 cm length along the scale to correspond to a mass difference of 0.10 kg.
What should be the value of the spring constant?
Answer:
42.6 N/m
Explanation:
The spring constant can be found by using Hooke's law:
F = kx
where
F is the force applied
k is the spring constant
x is the stretching/compression of the spring
In this problem, the mass applied is
m = 0.10 kg
so the force applied is the weight of the mass:
[tex]F=mg=(0.10 kg)(9.8 m/s^2)=0.98 N[/tex]
The stretching of the spring is
x = 2.3 cm = 0.023 m
So the spring constant is
[tex]k=\frac{F}{x}=\frac{0.98 N}{0.023 m}=42.6 N/m[/tex]
Answer: The value of spring constant is 42.6 N/m
Explanation:
Force is defined as the mass multiplied by the acceleration of the object.
[tex]F=m\times g[/tex]
where,
F = force exerted on the spring
m = mass = 0.10 kg
g = acceleration due to gravity = [tex]9.8m/s^2[/tex]
Putting values in above equation, we get:
[tex]F=0.10kg\times 9.8m/s^2\\\\F=0.98N[/tex]
To calculate the spring constant, we use the equation:
[tex]F=k\times x[/tex]
where,
F = force exerted on the spring = 0.98 N
k = spring constant = ?
x = length of the spring = 2.3 cm = 0.023 m (Conversion factor: 1 m = 100 cm)
Putting values in equation 1, we get:
[tex]0.98N=k\times 0.023m\\\\k=\frac{0.98N}{0.023m}=42.6N/m[/tex]
Hence, the value of spring constant is 42.6 N/m
What did the scientist say to the hydrogen atom that claimed it lost an electron
Answer and Explanation:
[tex]Greetings![/tex]
[tex]Let's~answer~your~question![/tex]
[tex]The~scientist~said~``Are~you~positive?"[/tex]
[tex]and~that's~the~answer![/tex]
[tex]Hope~this~helps!~have~a~blessed~day~ahead![/tex]
Scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
What is hydrogen atom?A hydrogen atom is an atom of both the chlorine atom hydrogen. The Coulomb this while a single partial positive proton and a single negative charge electron to the electrically neutral atom's nucleus. Atomic hydrogen accounts for approximately 75% of both the universe's entire baryonic mass.
A hydrogen atom, on the other hand, frequently joins forces with some other atoms to form compounds and collaborates with another hydrogen atom to produce common (scientists are still trying) hydrogen gas, H2. Scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
Therefore, scientist say to the hydrogen atom that claimed it lost an electron is "Are you positive ?"
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What happens when an electron absorbs a photon
Explanation:
A small piece of energy is called as Electron. It cannot be broken down further into smaller pieces. Photon is a basic unit of light. Photons always travel. They are in a continuous motion. So when electron needs energy, They absorb light. The light is absorbed or emitted in the form of photons. Each photon contains energy which is absorbed by the electron to gain its energy. After absorbing the photon, electron moves towards a higher energy level. So when an electron absorbs a photon, energy is gained by the electron.
A running mountain lion can make a leap 10.0 m long, reaching a maximum height of 3.0 m.?a.What is the speed of the mountain lion just as it leaves the ground? b.At what angle does it leave the ground?
Answer:
What is the speed of the mountain lion as it leaves the ground?
9.98m/s
At what angle does it leave the ground?
50.16°
Explanation:
This is going to be long, so if you want to see how it was solved refer to the attached solution. If you want to know the step by step process, read on.
To solve this, you will need use two kinematic equations and SOHCAHTOA:
[tex]d = v_it + \dfrac{1}{2}at^{2}\\\\vf = vi + at[/tex]
With these formulas, we can derive formulas for everything you need:
Things you need to remember:
A projectile at an angle has a x-component (horizontal movement) and y-component (vertical movement), which is the reason why it creates an angle.Treat them separately.At maximum height, the vertical final velocity is always 0 m/s going up. And initial vertical velocity is 0 m/s going down.Horizontal movement is not influenced by gravity.acceleration due to gravity (a) on Earth is constant at 9.8m/sFirst we need to take your given:
10.0 m long (horizontal) and maximum height of 3.0m (vertical).
[tex]d_x=10.0m\\d_y=3.0m[/tex]
What your problem is looking for is the initial velocity and the angle it left the ground.
Vi = ? Θ =?
Vi here is the diagonal movement and do solve this, we need both the horizontal velocity and the vertical velocity.
Let's deal with the vertical components first:
We can use the second kinematic equation given to solve for the vertical initial velocity but we are missing time. So we use the first kinematic equation to derive a formula for time.
[tex]d_y=V_i_yt+\dfrac{1}{2}at^{2}[/tex]
Since it is at maximum height at this point, we can assume that the lion is already making its way down so the initial vertical velocity would be 0 m/s. So we can reduce the formula:
[tex]d_y=0+\dfrac{1}{2}at^{2}[/tex]
[tex]d_y=\dfrac{1}{2}at^{2}[/tex]
From here we can derive the formula of time:
[tex]t=\sqrt{\dfrac{2d_y}{a}}[/tex]
Now we just plug in what we know:
[tex]t=\sqrt{\dfrac{(2)(3.0m}{9.8m/s^2}}\\t=0.782s[/tex]
Now that we know the time it takes to get from the highest point to the ground. The time going up is equal to the time going down, so we can use this time to solve for the intial scenario of going up.
[tex]vf_y=vi_y+at[/tex]
Remember that going up the vertical final velocity is 0m/s, and remember that gravity is always moving downwards so it is negative.
[tex]0m/s=vi_y+-9.8m/s^{2}(0.782s)\\-vi_y=-9.8m/s^{2}(0.782s)\\-vi_y=-7.66m/s\\vi_y=7.66m/s[/tex]
So we have our first initial vertical velocity:
Viy = 7.66m/s
Next we solve for the horizontal velocity. We use the same kinematic formula but replace it with x components. Remember that gravity has no influence horizontally so a = 0:
[tex]d_x=V_i_xt+\dfrac{1}{2}0m/s^{2}(t^{2})\\d_x=V_i_xt[/tex]
But horizontally, it considers the time of flight, from the time it was released and the time it hits the ground. Also, like mentioned earlier the time going up is the same as going down, so if we combine them the total time in flight will be twice the time.
T= 2t
T = 2 (0.782s)
T = 1.564s
So we use this in our formula:
[tex]d_x=V_i_xT\\\\10.0m=Vi_x(1.564s)\\\\\dfrac{10.0m}{1.564s}=V_i_x\\\\6.39m/s=V_i_x[/tex]
Vix=6.39m/s
Now we have the horizontal and the vertical component, we can solve for the diagonal initial velocity, or the velocity the mountain lion leapt and the angle, by creating a right triangles, using vectors (see attached)
To get the diagonal, you just use the Pythagorean theorem:
c²=a²+b²
Using it in the context of our problem:
[tex]Vi^{2}=Viy^2+Vix^2\\Vi^2=(7.66m/s)^2+(6.39m/s)^2\\\sqrt{Vi}=\sqrt{(7.66m/s)^2+(6.39m/s)^2}\\\\Vi=9.98m/s[/tex]
The lion leapt at 9.98m/s
Using SOHCAHTOA, we know that we can TOA to solve for the angle, because we have the opposite and adjacent side:
[tex]Tan\theta=\dfrac{O}{A}\\\\Tan\theta=\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{V_i_y}{V_i_x}\\\\\theta=Tan^{-1}\dfrac{7.66m/s}{6.39m/s}\\\\\theta=50.17[/tex]
The lion leapt at an angle of 50.16°.
a. To find the speed, use projectile motion equations. b. To find the angle, use the equation tan(theta) = vertical velocity / horizontal velocity.
Explanation:a. To find the speed of the mountain lion just as it leaves the ground, we can use the equations of projectile motion. Since the lion reaches a maximum height of 3.0 m, we know that the initial vertical velocity is 0 m/s. Using the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time, we can solve for the initial vertical velocity. Substituting the values: 0 = u + (-9.8 m/s^2) * t, where t is the time taken to reach the maximum height. Solving this equation gives us the value of t. From the given information of the leap being 10.0 m long, we can use the equation d = ut + (1/2)at^2 to solve for the initial horizontal velocity. Combining the horizontal and vertical velocities using the Pythagorean theorem, we can calculate the speed of the mountain lion.
b. To find the angle at which the mountain lion leaves the ground, we can use the equation tan(theta) = vertical velocity / horizontal velocity. Solving this equation will give us the angle at which the lion leaves the ground.
Learn more about Projectile Motion here:https://brainly.com/question/29545516
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A vector is 253 m long and points in a 55.8 degree direction. Find the X-Component of the vector. Please help!
Answer:
142.2 m
Explanation:
The x-component of a certain vector can be found by using
[tex]v_x = v cos \theta[/tex]
where
v is the magnitude of the vector
[tex]\theta[/tex] is the angle between the direction of the vector and the positive x-direction
In this problem, we have
v = 253 m is the length (magnitude) of the vector
[tex]\theta=55.8^{\circ}[/tex] is the angle
Substituting into the formula, we find
[tex]v_x = (253 m) cos 55.8^{\circ}=142.2 m[/tex]
To find the X-component of a vector, use the formula Ax = A * cos(θ), where A is the magnitude and θ is the angle with the X-axis. For the given vector of 253 m at 55.8 degrees, calculate Ax = 253 * cos(55.8°).
Explanation:The student is asking how to find the X-component of a vector with a given magnitude and direction. To find the X-component (Ax) of a vector, you can use the formula Ax = A * cos(θ), where A is the magnitude of the vector and θ is the angle it makes with the X-axis. In this case, the magnitude (A) is 253 m, and the angle (θ) is 55.8 degrees. Thus, applying the formula we get Ax = 253 m * cos(55.8°). You would need to use a calculator to find the cosine of 55.8 degrees and then multiply by 253 to find the X-component.
A double-slit arrangement produces interference fringes for yellow sodium light. To produce narrower-spaced fringes, should red light or blue light be used?
a. blue lightb. red light
Answer:
Blue light
Explanation:
y=Lwm/d
where:
y is the distance between the finges
w is the wavelength is light (I dont have a symbol for lambda)
m is the fringe order (the central bright fringe is the zeroth- order, the next on either side is the + or - first order, et cet)
d is the distace between the slits
So to reduce y, the spacing between the fringes, you could move your screen closer to the slits, use slits that are spaced farther apart, or use a shorter wavelength of light (shift toward the blue)
To produce narrower-spaced fringes in a double-slit arrangement, blue light, which has a shorter wavelength than red light, should be used. This results in more closely spaced diffraction fringes.
To produce narrower-spaced fringes in a double-slit arrangement, blue light should be used instead of red light. This is because blue light has a shorter wavelength compared to red light. Given the same double-slit spacing (d), the smaller value of λ/d for blue light leads to smaller values of sin θ, resulting in a more closely spaced set of diffraction fringes. The concept of wavelength influencing the fringe spacing is crucial for understanding how light behaves in interference patterns. Thus, utilizing blue light, with its shorter wavelength, directly correlates to achieving narrower-spaced interference fringes in comparison to using red light.
A 20-cm long spring is attached to the wall. When pulled horizontally with a force of 100N, the spring stretches to a length of 22cm. What is the value of the constant? A.) The same spring is used in a tug of war. Two people pull on the ends, each with a force of 100N. How long is the stretched string? B.) The same spring is now suspended from a hook and a 10.2kg block is attached to the bottom end. How long is the stretched spring?
Answer:
Explanation:
Part 0
All the spring moves is 2 cm
x = 2 cm * [1 m / 100 cm ]
x = 0.020 meters
F = k*d
100N = k * 0.02 m
100 N / 0.02 = k
5000 N / m
Part A
The spring feels a force of 100 N - - 100N = 200 N because each person is pulling in the opposite direction.
F = k * x
200N = 5000 N/m * d
200 / 5000 = d
d = 0.04 meters.
Part B
10.2 kg must be converted to a force as experienced here on earth.
F = m * g
g = 9.81
m = 10.2
F = 10.2 * 9.81
F = 100.06 N
F = k * d
100.06 = 5000 * d
d = 100.06 / 5000
d = 0.02 meters.
Which phenomenon best supports the theory that matter has a wave nature?
At the beginning of the 20th century (especifically 1924) the French physicist Louis De Broglie proposed in its doctoral thesis the existence of matter waves, that is to say that all matter has a wave associated with it.
De Broglie, in addition, deduced an equation by which the electron had a wavelength that depended on its momentum (hence its velocity).
These postulations were tested with the double slit experiment (formerly applied to photons) applied to electrons, and the result was: electrons (as well as the other particles different from the photons) are able to behave as waves.
It is important to note, this experimente was done in 1927 by Clinton J. Davisson and Lester Halbert Germer and was called the electron diffraction experiment. It consisted of bombarding with an electron beam a sample (nickel) and observing the resulting interference pattern.
In this way they demonstrated what de Broglie deduced mathematically.
Can an electron at rest in a magnetic field be set into motion by the magnetic field? What if it were at rest in an electric field?
Answer:
By a magnetic field: no
By an electric field: yes
Explanation:
The force exerted by a magnetic field on an electron is
[tex]F=qvB sin \theta[/tex]
where
q is the electron charge
v is the speed of the electron
B is the strength of the magnetic field
[tex]\theta[/tex] is the angle between the direction of v and B
As we see from the formula, if the electron is at rest, then v = 0, and therefore the force is also zero: F = 0. Therefore, the magnetic field cannot set the electron into motion.
On the other hand, the force exerted on an electron by an electric field does not depend on the speed:
[tex]F=qE[/tex]
where E is the intensity of the electric field
Therefore, the electric force acts also when the electron is at rest, so it is able to set the electron into motion.
Final answer:
An electron at rest cannot be moved by a stationary magnetic field but can be set into motion by an electric field. The force exerted by electric fields acts on stationary charged particles, while magnetic fields only affect moving charges.
Explanation:
An electron at rest cannot be set into motion by a stationary magnetic field because a magnetic field only exerts a force on a moving charged particle. However, if an electron is at rest in an electric field, it will experience a force that can set it into motion. This is because electric fields exert forces on charged particles regardless of their state of motion. For instance, electrons starting from rest and accelerated through a potential difference will move in circular paths when entering a uniform magnetic field, due to the force that acts perpendicular to their velocity and the magnetic field
Moreover, the relationship between electric and magnetic fields demonstrates that a pure electric field in one reference frame can be perceived as a combination of electric and magnetic fields in another frame if the particle is moving. This interplay is fundamental to many devices that rely on electromagnetic forces to function.
Which of the following statements are true concerning stable nuclei?
Check all that apply.
There is no limit to the size of a stable nucleus because of the great strength of the strong nuclear force.
Heavy stable nuclei tend to contain more protons than neutrons.
There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force.
Heavy stable nuclei tend to contain roughly the same number of protons as neutrons.
Heavy stable nuclei tend to contain fewer protons than neutrons.
The size of a stable nucleus is limited due to the short range of the strong nuclear force. Heavy stable nuclei tend to have roughly the same number of protons as neutrons or fewer protons than neutrons.
Explanation:The correct statements concerning stable nuclei are:
There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force.Heavy stable nuclei tend to contain roughly the same number of protons as neutrons.Heavy stable nuclei tend to contain fewer protons than neutrons.The strong nuclear force is an attractive force between nucleons, but it has a short range. This means that for larger nuclei, the repulsive force between protons is stronger than the attractive force, so more neutrons are needed to overcome the repulsion and stabilize the nucleus.
A resistor is connected in series with an AC source that provides a sinusoidal voltage of v of t is equal to V times cosine of begin quantity omega times t end quantity, where V is the maximum voltage, omega is the angular frequency, and t is the time. The current supplied by this source that flows through this resistor is described with the function i of t is equal to I times cosine of begin quantity omega times t end quantity, where I is the maximum current. What is the average power supplied by this AC source?
In circuits, the average power is defined as the average of the instantaneous power over one period. The instantaneous power can be found as:
[tex]p(t)=v(t)i(t)[/tex]
So the average power is:
[tex]P=\frac{1}{T}\intop_{0}^{T}p(t)dt[/tex]
But:
[tex]v(t)=v_{m}cos(\omega t) \\ \\ i(t)=i_{m}cos(\omega t)[/tex]
So:
[tex]P=\frac{1}{T}\intop_{0}^{T}v_{m}cos(\omega t)i_{m}cos(\omega t)dt \\ \\ P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}cos^{2}(\omega t)dt \\ \\ But: cos^{2}(\omega t)=\frac{1+cos(2\omega t)}{2}[/tex]
[tex]P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}(\frac{1+cos(2\omega t)}{2} )dt \\\\P=\frac{v_{m}i_{m}}{T}\intop_{0}^{T}[\frac{1}{2}+\frac{cos(2\omega t)}{2}]dt \\\\P=\frac{v_{m}i_{m}}{T}[\frac{1}{2}(t)\right|_0^T +\frac{sin(2\omega t)}{4\omega} \right|_0^T] \\ \\ P=\frac{v_{m}i_{m}}{2T}[(t)\right|_0^T +\frac{sin(2\omega t)}{2\omega} \right|_0^T] \\ \\ P=\frac{v_{m}i_{m}}{2}[/tex]
In terms of RMS values:
[tex]V_{RMS}=V=\frac{v_{m}}{\sqrt{2}} \\ \\ I_{RMS}=I=\frac{i_{m}}{\sqrt{2}} \\ \\ Then: \\ \\ P=VI[/tex]
A student with a weight of 784 N runs up three flights of stairs in 12.0 sec. The student has gone a vertical distance of 8.0 m. How much work is done by the student to move his body to this height? Assume that his speed is constant.
A) 98J
B) 1176J
C) 6272J
D) 61466J
Answer:
C) 6272 J
Explanation:
The work done by the student is equal to the increase in gravitational potential energy; therefore, it is given by
[tex]W=Fd[/tex]
where
F = 784 N is the force, which in this case is equal to the weight of the student
d = 8.0 m is the vertical distance covered
Substituting numbers into the formula, we find:
[tex]W=(784 N)(8.0 m)=6272 J[/tex]