The flux from the side of each face is [tex]\frac{q}{6a}[/tex] where a is the permittivity of free space.
The amount of the electric field flowing through a specific area is known as the electric flux. The quantity of field lines travelling through a specific area can be used to calculate the electric flux. The charge contained in a surface can be used to compute the electric flux through that surface.
For, a close gaussian surface,
electric flux is equal to charge divided by permittivity of free space.
Now, in the part A, consider that a length of the sides of cube is L and for each of the face the electric flux emerging out of the cube will be divided into six parts.
The number of field lines traveling across a given area is known as the electric flux. The flux moving through any one of the cube's faces is equal to the cube's overall flux divided by six.
so flux is [tex]\frac{q}{6a}[/tex] where a is permittivity of free space.
and for part B now the length is different but as we have seen that flux depends upon length it just depend upon charge and permittivity of free space which remains same even if the length get changes.
So, flux remains same.
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The earth orbits around the sun once a year in a nearly circular orbit of radius 1.5x108km. Determine:
Angular speed of the earth? give your answer in rad/day.
The tangential speed of the earth? (km/day)
Distance traveled in one day (km)
Angular speed of the earth: 0.0172 rad/day
Tangential speed of the earth: 29.8 km/day
Distance traveled in one day: 247.5 km. This is because the circumference of the earth's orbit is 2πr, or 2π x 1.5 x 108, which equals 942 x 106 km. Dividing this by 365 gives 247.5 km.
A baseball bat hits a baseball and applies an external net force to the baseball. The initial momentum of the baseball is 5 kg·m/s, and the final momentum is -9 kg·m/s.
What is the change in momentum of the baseball?
The change in momentum of the baseball is -14 kg·m/s.
The change in momentum of an object can be calculated by subtracting the initial momentum from the final momentum.
Change in momentum = final momentum - initial momentum
Therefore, in this case:
Change in momentum = (-9 kg·m/s) - (5 kg·m/s) = -14 kg·m/s
The negative sign indicates that the final momentum is in the opposite direction of the initial momentum, which means the baseball has been reversed its direction.
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given the lorentz factor, does time pass for a photon? what about for a place where gravity is so strong that the escape velocity equals the speed of light
For photons, time does not pass. In a vacuum, photons move at the same speed as light and have no mass.
A photon is what?A photon is a microscopic particle of electromagnetic energy, which is similar to a light particle. The frequency of the photon (i.e., how quickly the electric field and magnetic field oscillate; "rapid electric field" and "wiggle" need better terminology) determines its energy.
What elements make up a photon?A photon is a microscopic particle made up of electromagnetic radiation waves. Photons are essentially electric fields traveling through space, as Maxwell showed. Photons have no charge and no rest mass, and they move at the speed of light.
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you see the light from a star that is 100,000 light years away. how long ago did the light leave the star?
The light left the star 100,000 years ago, if we are seeing a star which is 100,000 light years away.
There are different units to measure the length or distance, like: kilometers, meters are used to measure the distance of larger magnitude like length of the road, length of the cricket pitch. But astronomical distances are very large in length and they are measured by using a bigger unit, like: light year. A light year is a distance travelled by the light in a single year. it is equal to (3.0 × 10⁸ × 86400×365) ≈ 9.46 × 10¹⁵ meters. Hence we can say that light has left the star 100,000 years ago.
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1) In which of the situations listed below is energy being transferred as heat to the system in order for the system to do work? In which situation is work being done on the system in order for energy to be transferred from the system as heat?
a) Two sticks are rubbed together to start a fire.
b) A firecracker explodes.
c) A red-hot iron bar is set aside to cool.
Answer: Heat and work are two different forms of energy. Both of these forms are energy in transit. This means that an object does not have work or heat, but can only transfer its energy to its surroundings or other objects in the form of work or heat.
On the other hand, the internal energy is the energy that an object has due to its state. When work is done by/on the system or heat is added/removed to/from the system, the internal energy of the system is affected. These three quantities are related according to the first law of thermodynamics.
Two sticks are rubbed together to start a fire- In this situation, the bars are worked by rubbing against each other. This work is transferred from the system as heat, which eventually ignites the sticks.
A firecracker explodes-
In this situation, the heat in the rocket fuel does work on the rocket by increasing the kinetic energy and potential energy (increase in height) of the rocket.
Heating an iron bar into ore is a change. As it is heated to a higher temperature in this iron rod until it glows red, no new substance is formed in this change. After cooling, it turns back into an iron rod, so the physical change is reversible.
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About 0.1 eV is required to break a "hydrogen bond" in a protein molecule.
Part A
Calculate the minimum frequency of a photon that can accomplish this.
Express your answer to one significant figure and include the appropriate units.
Part B
Calculate the maximum wavelength of a photon that can accomplish this.
Express your answer to one significant figure and include the appropriate units.
The wavelength and frequency are 0.1240 nm and 2.41 x 10^14 Hz respectively.
What is wavelength?
Wavelength is a concept in physics that describes the distance between repeating units of a wave, such as the distance between two crests of a water wave or two peaks of a light wave. It is a fundamental property of waves and is typically denoted by the Greek letter lambda (λ). The wavelength of a wave is inversely proportional to its frequency.
Part A
The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is Planck's constant (h = 6.626 x 10^-34 J*s), and f is the frequency. To find the minimum frequency of a photon that can break a hydrogen bond, we can rearrange the equation to solve for f:
f = E / h
Given that 0.1 eV is required to break a hydrogen bond, we can convert this energy to joules by multiplying by the conversion factor 1 eV = 1.602 x 10^-19 J.
E = 0.1 eV * 1.602 x 10^-19 J/eV
E = 1.602 x 10^-20 J
Now we can substitute the value of E and h into the equation to find f:
f = 1.602 x 10^-20 J / (6.626 x 10^-34 J*s)
f = 2.41 x 10^14 Hz
So the minimum frequency of a photon that can accomplish this is 2.41 x 10^14 Hz.
Part B
The wavelength of a photon can be calculated using the equation c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength. To find the maximum wavelength of a photon that can accomplish this, we can rearrange the equation to solve for λ:
λ = c / f
Given that the minimum frequency of a photon that can accomplish this is 2.41 x 10^14 Hz and the speed of light is c = 3 x 10^8 m/s, we can substitute these values into the equation to find λ:
λ = 3 x 10^8 m/s / 2.41 x 10^14 Hz
λ = 0.1240 nm
So the maximum wavelength of a photon that can accomplish this is 0.1240 nm.
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What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth?A pendulum has a period of 1.53 s on Earth.
The period on Mars is calculated to be 2.51 s when the acceleration of gravity on Mars is given.
Given that,
Gravitational acceleration on Earth = 9.8 m/s²
Acceleration due to gravity on Mars = 0.37 g = 0.37 × 9.8 = 3.626 m/s²
Time period of pendulum on Earth = 1.53 s
We know the expression for time period as, T = 2π √(L/g)
Comparing the accelerations and time periods on both the planets, we have,
T e : T m = 2π √(L/g e) : 2π √(L/g m)
T e : T m = 1/√g e : 1/√g m
T e : T m = √g m : √g e
1.53 : T m = √0.37 g : √g
1.53 : T m = √0.37
T m = 1.53 : √0.37 = 1.53 : 0.61 = 2.51 s
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Cyclonic airflow is characterized by:
As said, cyclonic airflow is characterized by convergence at the surface and divergence above.
Why does cyclonic wind exist?In the Northern Hemisphere, surface winds of cyclones blow anticlockwise, whereas, in the Southern Hemisphere, they blow clockwise. Cyclones are named for the way their winds swirl in a circle around their obvious center eye. The Coriolis effect explains why the flow of blood is going in the opposite direction.
In terms of geography, what is cyclonic?Any significant wind storm that moves clockwise to the south of the equator and anticlockwise to the north and revolves around a low-pressure center is called a cyclone.
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You kick a ball off the ground with a ma of 2. 1 kg. The ball leave your foot with a peed of 30 m/. Calculate the magnitude of the energy you identified in part a
Answer: 945 J
Explanation- You just need to plug in those values into the kinetic energy equation and you will find your answer. KE = 1/2mv^2 = 1/2•2.1 kg•(30 m/s)^2 = 945 J.
A game of pocket billiards begins when the white ball, called the cue ball, is rolled toward a
set of 15 numbered balls arranged in a triangle. let the set of 16 balls in the game represent a
system, and let p equal the momentum of the cue ball. what is the momentum of the system
just after the cue ball strikes the numbered balls? assume that friction and other
nonconservative forces are negligible.
momentum sphere is a compact, psychological game used in stick sports like pool, snooker, and carom billiards. the quantity, kind, size, hue, and design of the balls.
Whereas if cue ball flies off the table, what happens?Every time a stroke causes the ball actually or just about any object ball to leap off the table in a game of pocket billiard, the stroke is indeed a foul. While all balls have stopped, all leapt object balls can be seen (apart from 8 and 9-Ball).
In a set, number of times cue balls are there?One white ball actually and fifteen colored, numbered balls make up a set of billiard balls. The balls with the numbers 1 through 8 and 9 through 15 are all solid colors.are white with such a colored band in the middle. The balls have a diameter of 52.5mm and are colored und numbered as follows: 1 and 9 in yellow.
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which region best matches a typical ir spectrum? 2000 to 200 cm-1 4000 to 400 cm-1 3000 to 300 cm-1 5000 to 500 cm-1 6000 to 600 cm-1
The region that best matches a typical IR spectrum is 4000 to 400 cm-1.
What is typical IR spectrum?The IR spectrum is a plot of transmitted (or absorbed) frequencies versus transmission intensity (or absorption).
The region that best matches a typical IR spectrum is typically considered to be 4000 to 400 cm-1 , also known as the "fingerprint region" as it contains the majority of the vibrational absorption bands for most organic compounds.
However, it's worth noting that different types of compounds or samples may exhibit different spectral features and may require different regions to be examined in order to obtain meaningful information.
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You and your friend grabbed some inner tubes to go sledding down a hill.
However, your friend needed a push to get him going. You gave your friend a
push of 5 meters on his inner tube with a force of 400 N to start him down the
snowy slope. How much work did you do?
Answer:2000jules
Explanation:
another friend With a force of 400 newtons and down the slope, and it applies this force Through a distance of five m. So they want to know what the work is. So the equation for work is force times distance, and usually we want to put with the cold sine of the angle between them if they are not aligned, but in this case they are aligned. So the call sign turns out to be one. So all we have to do is multiply force times distance 400 times five, and we get a value of And this is equal to 2000 jules. That's the answer to the problem.
19. a pair of in-phase stereo speakers are placed next to each other, 0.600 m apart. you stand directly in front of one of the speakers, 1.000 m from the speaker. what is the lowest frequency that will produce constructive interference at your location? the air temperature is 15.0 degrees celsius.19. a pair of in-phase stereo speakers are placed next to each other, 0.600 m apart. you stand directly in front of one of the speakers, 1.000 m from the speaker. what is the lowest frequency that will produce constructive interference at your location? the air temperature is 15.0 degrees celsius.19. a pair of in-phase stereo speakers are placed next to each other, 0.600 m apart. you stand directly in front of one of the speakers, 1.000 m from the speaker. what is the lowest frequency that will produce constructive interference at your location? the air temperature is 15.0 degrees celsius.
The lowest frequency that will produce constructive interference at your location is about 133.9 Hz.
How does the distance between the speakers affect the frequency of constructive interference?The distance between the speakers affects the frequency of constructive interference because it affects the phase difference between the waves emitted by the speakers. A smaller distance between the speakers results in a smaller phase difference, and a larger distance results in a larger phase difference. This means that at a certain distance, the waves emitted by the speakers will be in phase, resulting in constructive interference. The frequency at which this occurs is dependent on the wavelength of the waves and the distance between the speakers.
How do you calculate the lowest frequency that will produce constructive interference at your location?The lowest frequency that will produce constructive interference at your location can be found using the equation:
f = v / (2d)
Given,
d = 0.600 m (distance between speakers)
d' = 1.000 m (distance from speaker to listener)
v = 331.4 + 0.6T m/s (speed of sound in air, where T is the temperature in Celsius)
T = 15.0 °C (air temperature)
First, we need to calculate the speed of sound at 15 degrees celsius:
v = 331.4 + 0.6T
v = 331.4 + 0.6 x 15
v = 343.4 m/s
Now we can calculate the frequency of constructive interference:
f = v / (2 x (d + d'))
f = 343.4 / (2 x (0.6 + 1))
f = 343.4 / (2 x 1.6)
f = 343.4 / 2.56
f = 133.9 Hz
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when a guitar string plays the note "A" the string vibrates at 440 Hz.
What is the period of vibration
Yes, that is accurate. The frequency of the note "A" that is used to set the guitar's other strings) is 440 Hz.
What does "corresponds" mean?to be comparable to, equal to, or match something: closely or directly relate to/with anything Their decrease in in-store sales is directly correlated with their rise in internet sales.
What are some sentences that use correspond?In some nations, the president and prime minister have the same responsibilities. horse joints that are comparable to human knees Each number represents a specific spot on the map. The timetable will be updated to reflect the academic calendar.
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q3. a mass of 10 kg is traveling with a velocity of 30 m/s in the positive y-axis. the mass undergoes a collision with another object of mass 40 g moving along the negative y-axis at a speed of 50 m/s. calculate the final velocity.
calculating the starting kinetic energy and contrasting it with the ending kinetic energy. A collision is elastic if indeed the kinetic energy was equal in both directions.
Are you referring to kinetic energy?Kinetic energy is a type of power that a thing or particle has because of its movement. Through being subjected to the a net force, an object transfers energy through work, accelerating and gaining kinetic energy in the process.
In everyday life, what is kinetic energy?Everything in the home that moves is a manifestation of kinetic energy. Examples of this include a cue things moving on a pool table, a glass breaking right on the floor after falling from the counter, or a fan air blowing on such a hot day. Both people moving about the house or electrical appliances that are on use kinetic energy.
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consider a planet where the pressure of the atmosphere at sea level is 2500 mmhg. does water behave in a way that can sustain life on the planet?
Water is the most significant and prevalent liquid on planet. There is no life without water. The region of the earth where liquid water is present is where life is found. Water exists as solid ice on other planets with pressures of 2500mmHg.
What are an example and the environment?The light you feel on your face, the wind that blows through your schoolyard and waves the flag, and even the clouds you see in the sky are all effects of the atmosphere of Earth. The atmosphere of Earth extends from the surface of the planet.
Which types of atmospheres are there?The four atmospheric layers that make up the Earth's atmosphere are called the troposphere, stratosphere, mesosphere, and thermosphere.
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in a series circuit, the voltage across any load is inversely proportional to the value of the resistance of that load.
When a current flows through a series circuit, it must pass through each load in turn.
What is current flows?Current flow is a fundamental physical phenomenon in which electric charge is transferred through a medium, such as a conductor or semiconductor. The flow of charge is usually referred to as an electric current, and is measured in amperes.
This means that the amount of current that passes through each load is the same. Since voltage is equal to current multiplied by resistance, the voltage across each load is inversely proportional to its resistance – as the resistance increases, the voltage across it decreases. This is because the same amount of current is split between the higher resistance load and the other loads in the series, meaning that the load with the higher resistance will have a smaller voltage drop across it.
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A flywheel (i = 100. 0 kg-m2) rotating at 500. 0 rev/ min is brought to rest by friction in 2. 0 min. What is the frictional torque on the flywheel?
The steering wheel's moment of inertia, K = - 2.69 105 J, is equal to the moment of apathy of a disc with just a shaft running through its center.
What is the purpose of steering?One of the most crucial components of a car or any vehicle, steering is utilized to move the vehicle. The steering system changes the steering wheel's revolution into a short-distance swiveling movement of the wheels, turning the steering wheel rim a considerable distance.
Calculation
I = ½ M R²
I = ½ 301 0.612²
I= 56.37 kg m²
b) Work is equal to the change in kinetic energy
W = ΔK = ½ I w² - ½ I w₀
As part of the rest the initial angular velocity is zero
W = ½ I w²
Let's reduce the angular velocity to SI units
w = 1060 rev / in (2π rad / 1rev) (1min / 60s) = 111 rad / s
W = ½ 56.37 111²
W = 3.47 10⁵ J
c) Dissipated energy is equal to work
W = ΔK
W = ½ I ² - ½ I w₀²For this case
w₀ = 111 rad / s
= 502 rav / min (2pirad / 1rev) (1min / 60s) = 52,569 rad / s
ΔK = ½ 56.37 (52,569² - 111²)
ΔK = - 2.69 10⁵ J
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30 J of work are done in 15 seconds to push a bowl of fruit horizontally. What was the power delivered completing this task?
Answer:
Explanation:
The power delivered completing this task can be calculated using the formula Power = Work/Time. In this case, the power is equal to 30 J/15 s, which simplifies to 2 J/s. This can also be expressed as 2 Watts (W).
Important Formulas:
[tex]p=\dfrac{w}{t}[/tex]
power(measured in watts) = work(measured in joules) / time(measured in seconds)
__________________________________________________________
Given:
[tex]w=30J[/tex]
[tex]t=15s[/tex]
[tex]p=?[/tex]
__________________________________________________________
Finding power:
[tex]p=\dfrac{w}{t}[/tex]
[tex]p=\dfrac{30}{15}[/tex]
__________________________________________________________
[tex]\fbox{p = 2 watts}[/tex]
julie carries an 8.0-kg suitcase as she walks 18 m along a horizontal walkway to her hotel room at a constant speed of 1.5 m/s. how much work does julie do in carrying her suitcase?
Work done by julie do in carrying her suitcase is W = 365.7J.
When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.
The product of a force and its displacement in the direction of the force is what is known as the definition of work done.
We might thus conclude that the force that Julie applied was equal to the weight of her suitcase.
Thus, F = mg F = (8 x 9.81) F = 78.48N will be the result.
Now that we are aware, H = Lsine is used to calculate the overall height to which the luggage is raised.
H = 18sin15 H = 4.66m; the task completed is now indicated by W = F.d W = 78.48. (4.66)
W = 365.7J
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Complete question -
Julie carries an 8.0-kg suitcase as she walks 18 m along an inclined walkway to her hotel room at a constant speed of 1.5 m/s. The walkway is inclined 15 degrees above the horizontal. How much work does Julie do in carrying her suitcase?
3,
what societal, ecological, or technical constraints should resource managers consider
before proposing solutions?
4. describe the design solution engineers and scientists developed to prevent
contamination of cleveland drinking water. why did their solution need to address bo
sub-problems equally?
5. propose two additional solutions to address the ecological phenomena causing the
water contamination in lake erie.
Resource managers should consider constraints such as cost, feasibility, public acceptance and potential impacts on the environment and human health. One solution is storage reservoirs to store and divert stormwater and sewage overflow away from Lake Erie.
Societal, ecological, and technical constraints that resource managers should consider before proposing solutions include factors such as cost, feasibility, public acceptance, and potential impacts on the environment and human health.
One design solution that engineers and scientists developed to prevent contamination of Cleveland's drinking water is the construction of a series of underground tunnels and storage reservoirs to store and divert stormwater and sewage overflow away from Lake Erie.
This solution needed to address both sub-problems equally because it addressed both the problem of sewage overflow and the problem of excessive stormwater runoff, which were contributing to the contamination of the lake.
Additional solutions that could be implemented to address the ecological phenomena causing water contamination in Lake Erie include:
Implementing a nutrient management plan that regulates the amount of fertilizers and other nutrients that can be applied to agricultural lands in the watershed, in order to reduce the amount of nutrient runoff that contributes to harmful algal blooms.Developing green infrastructure, such as rain gardens, green roofs, and permeable pavement, to reduce stormwater runoff and improve water quality.To learn more about Lake Erie visit: https://brainly.com/question/2640486
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Which of the following best sums up current scientific thinking about the nature of dark energy?
(a) Most dark matter probably consists of weakly interacting particles of a type that we have not yet identified.
(b) Dark matter consists of 90% of neutrinos and 10% of WIMPs.
(c) There is no longer any doubt that dark matter is made mostly of WIMPs.
(d) Dark matter probably does not really exist, and rather indicates a fundamental problem in our understanding of gravity.
The correct answer is (e): Dark energy is a mysterious energy that is causing the accelerating expansion of the universe.
What is energy?Energy is the capacity to do work or produce heat. It exists in many forms, including kinetic energy (energy of motion), potential energy (stored energy of position), thermal energy (energy of heat), electrical energy, chemical energy, and nuclear energy. All forms of energy can be converted into one another, and can be used to power machines or to generate electricity. Energy is essential for powering the world's economies and for sustaining life on Earth.
Dark energy is believed to be a form of energy that is causing the universe to expand faster and faster. Scientists do not yet fully understand the nature of dark energy, but they have identified several potential candidates, including the cosmological constant and quintessence. Recent research suggests that dark energy may account for 68% of the universe's total energy content, making it the dominant form of energy in the cosmos.
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A body moving with a uniform acceleration had velocitie of 20m/ and 30m/ when paing the point P and Q of it path. Find the velocity midway between P and Q (in m/)
The velocity midway between P and Q is 25 m. Based on the direction of the displacement, the average velocity might either be positive or negative.
What is uniform acceleration?We say an object has uniform acceleration if its speed (velocity) is growing at a constant pace. Acceleration happens at a steady rate. A car's acceleration is not uniform if it accelerates quickly, then slows down, and then accelerates again.
What is velocity, exactly?In terms of time, an object or particle's movement is expressed vectorially as velocity. The recognized measurement of velocity magnitude is the meter per second (m/s) (also known as speed). A different way to indicate velocity is in centimeters per second (cm/s).
The velocity midway between P and Q can be found using the average velocity formula. Average velocity is given by:
Average velocity = (Initial velocity + Final velocity) / 2
In this case, the initial velocity is 20 m/s and the final velocity is 30 m/s. Therefore, the average velocity is:
Average velocity = (20 m/s + 30 m/s) / 2 = 25 m/s
So the velocity midway between P and Q is 25 m/s.
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PLSS IM DESPERATE
The muon is unstable and has a mean lifetime of about 2.2 microseconds. A muon is an elementary particle similar to the electron with an electric charge of -1 e, but with a much greater mass. The mass of a muon is 0.1135u, where the atomic mass unit u = 1.66 x 10^-27 kg. It decays into an electron and two neutrinos. What is the energy release this decay (in MeV)? Recall 1 eV = 1.6 x 10^-19 J).
According to the question, the energy release this decay (in MeV) is 105.66 MeV.
What is energy?
Energy is the capacity to do work. It is the ability to cause change, the capacity to act, or the ability to produce an effect. It is found in many forms such as kinetic energy, potential energy, electrical energy, chemical energy, thermal energy, gravitational energy, and nuclear energy. Energy can neither be created nor destroyed but can be transformed from one form to another. It is a fundamental property of matter and all forms of energy are related to each other.
The energy release from the decay of a muon is 105.66 MeV.
Energy = (mass of muon in J) x (speed of light squared)
Energy = (0.1135u x 1.66 x 10^-27 kg) x (3 x 10^8 m/s)^2
Energy = (1.89 x 10^-28 kg) x (9 x 10^16 m^2/s^2)
Energy = 1.7 x 10^-11 J
Energy = 1.7 x 10^-11 J x (6.24 x 10^18 eV/J)
Energy = 105.66 MeV
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aluminum has a density of 2.70 g cm-3. if a sheet of aluminum foil measuring 17.7 centimeters in length and 21.2 centimeters in width has a mass of 2.925 kilograms, what is the thickness of the foil in millimeters?
That aluminum has a mass of 2.70 g.
What is Density?
The density of a material substance is its mass in relation to its volume.
A common unit of measurement for density is grammes per cubic centimetre. In kilogrammes per cubic metre, density can also be expressed (in metre-kilogram-second or SI units). For example, the weight of air is 1.2 pounds per cubic metre. The usual solids, liquids, and gases' densities are listed in textbooks and manuals. Density is a simple tool for determining the relationship between mass and volume; for instance, the mass of a body is equal to its volume multiplied by the density
The density of a substance tells you the mass of exactly one unit of volume of said substance.
In your case, aluminium is said to have a density of
density Al=2.70 g.cm−3
This tells you that every 1 mL of aluminum has a mass of 2.70 g.
All you have to do now is use the density of aluminium as a conversion factor to go from cubic centimeters of aluminium to grams
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The density of a 2-cubic meter block of mass of 1000 kg is a. 200 kg/m3. b. 1000 kg/m3. c. none of the above d. 500 kg/m
e. 100 kg/m3
The density of a 2-cubic meter block of mass of 1000 kg is 500 kg/[tex]m^{3}[/tex].
We use the word "density" to indicate how much space (or "volume") an object or substance occupies in relation to the amount of matter contained therein (its mass). Density can also be defined as the quantity of mass per unit of volume. A dense object is one that is both hefty and small. Density is a crucial concept because it allows us to predict which compounds will float and sink in liquids. The density of an object needs to be lower than the density of the liquid in order for it to float.
Density= [tex]\frac{Mass}{Volume}[/tex]
= [tex]\frac{1000 kg}{2 cubic meter}[/tex]
= 500 kg/[tex]m^{3}[/tex]
So, The density of a 2-cubic meter block of mass 1000 kg is 500 kg/[tex]m^{3}[/tex].
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An electron at point A in the figure has a speed of 1.42×10^6 m/s.(a) Find the direction of the magnetic field that will cause the electron to follow the semicircular path from A to B .(b) Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B .(c) Find the time required for the electron to move from A to B.(d) Find the direction of the magnetic field, that would be needed if the particle were a proton instead of an electron?(e) Find the magnitude of the magnetic field, that would be needed if the particle were a proton instead of an electron?
Answer:
The objective was to find a campground before dark, but Maria and I were too enchanted with the forest to retain any sense of urgency. We were surrounded by Douglas Firs, which we'd learned could survive for hundreds of years. They shot up into the sky, their foliage blotting out the sunlight. Their massive red-brown trunks were wider than Maria and I when we stood side-by-side. We'd actually found one especially large Fir that had blown down over the winter. The hole left by its roots was about the size of a one-car garage.
I was whistling a tune, my eyes on the trees, when Maria pointed out a scrap of white paper. She picked it up. It was a candy bar wrapper.
"Litter bugs," I said, shaking my head. I couldn't understand how a fellow camper could be so careless.
Further down the trail, Maria spotted another wrapper: This time it was a package of rice, torn-open. Beyond that was a half-empty package of trail mix, upturned in the dirt. A trail of rice and nuts led into the woods.
"Let's pick this stuff up," Maria said. "That'll be our good deed for the day."
Maria spent the remainder of the hike picking up various half-eaten foods and trash. Meanwhile, I took photos of the trees. Eventually we came to a treacherous bridge overlooking a waterfall. The campground, I knew, would be on the other side of the bridge. This was a good thing: It was already dusk, and setting up the tent in total dark would have been difficult.
We arrived at the campground, ready to lecture the litter bugs that we imagined would have arrived before us. We were surprised to find the whole place uninhabited. Near the river bank, we found a flat area sheltered by trees. I was unfurling the tent when I heard a noise. I turned to Maria to ask her if she'd heard the noise, but the look on her face told me she had. Her eyes were wide with fright. She pointed at a spot in the bushes, and it was then that I saw the bear. It was foraging in the trees, and it had something in its mouth.
To my relief, it scampered off and disappeared. But not before it dropped the thing that it'd had in its mouth. It was an empty package of peanuts.
8
What is the best summary of the passage?
A.
Out in a forest, Maria and the narrator admire the Douglas Firs that are supposed to survive for hundreds of years. They search for a place where they can camp, and on the way they find a lot of trash. Maria picks up the trash, while the narrator takes pictures of the trees, and soon, they arrive at an uninhabited campground. While fixing the tent, they spot a bear in the bushes.
B.
Maria and the narrator are hiking in the forest and looking for a place to camp. They spot some Douglas Firs and are so enchanted by their beauty that they forget about their campground. After picking up trash from the forest and taking pictures, they come to a treacherous-looking bridge, and on the other side, they find a campground which is uninhabited.
C.
While looking for a campground, Maria and the narrator admire the Douglas Firs in the forest. On their way, they find a trail of half-eaten food, and Maria picks up the trash while the narrator takes pictures of the trees. Finally, they arrive at an uninhabited campground, and when they spot a bear near the bushes, it drops an empty package of peanuts and scampers away.
D.
While looking for a campground in the forest, Maria and the narrator spot a lot of trash, including candy wrappers and rice packets. They begin to collect the trash, and later when they spot some Douglas Firs, they become so enchanted by their beauty that they forget about their campground. Finally, they reach a place where they spot a bear.
Explanation:
Which of the following statements correctly describe the various applications listed above?a. None of these technologies use radio waves.
b. None of these technologies use lower-frequency microwaves.
c. None of these technologies use higher-frequency microwaves.
d. None of these technologies use infrared waves.
e. The radiation emitted by some wireless local area networks has the shortest wavelength of all the technologies listed above.
f. All these technologies emit waves with a wavelength in the range 0.10 to 10.0 cm.
g. All the technologies emit waves with a wavelength in the range 0.01 to 10.0 km.
The following statements correctly describe the various technologies listed are c, d, e, and g.
What is an infrared wave?A segment of the electromagnetic radiation spectrum with different wavelengths from roughly 700 nanometers (nm) to one millimetre is known as infrared radiation (IR), or simply infrared (mm). Despite shorter than radio waves, infrared waves are greater than visible light waves.
What microwave radiation frequency has the highest amplitude?Electromagnetic wavelengths range from 30 to 0.03 cm at frequencies between 109 Hz (1 GHz) and 1000 GHz. There are various communication systems applications in this spectral domain that are essential in both the military and civilian fields.
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17. / a small glass bead has been charged to +20 nc. what are the
ini magnitude and direction of the acceleration of (a) a proton and (b) an electron that is 1.0 cm from the center of the head?
For a proton: The magnitude of the acceleration will be 20 N/C in the direction of the center of the bead. This is due to the fact that the proton is positively charged and will be attracted to the bead's positive charge.
What is acceleration?Acceleration is the rate of change of velocity. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the rate at which an object's velocity changes over time, and can be calculated by dividing the change in velocity (delta v) by the time interval (delta t). Acceleration can be caused by a variety of different factors, such as a change in direction, a change in speed, or the application of a force.
For an electron:
The magnitude of the acceleration will be 20 N/C in the direction away from the center of the bead. This is due to the fact that the electron is negatively charged and will be repelled away from the bead's positive charge.
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For a proton: The magnitude of the acceleration will be 20 N/C in the direction of the center of the bead. This is due to the fact that the proton is positively charged and will be attracted to the bead's positive charge.
a. Acceleration of proton: 1.72 x 10¹⁴ m/s² away from bead
b. an electron that is 1.0 cm from the center of the head: 3.16 x 10¹⁷ m/s²
What is acceleration?Acceleration is the rate of change of velocity. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the rate at which an object's velocity changes over time, and can be calculated by dividing the change in velocity (Δv) by the time interval (Δt). Acceleration can be caused by a variety of different factors, such as a change in direction, a change in speed, or the application of a force.
electric field due to charge is given by:
E = kq/r²
E = (9x10⁹)(20x10⁻⁹)/(10⁻²)²
E = 1.8x10⁶ N/C
Force on both electron and proton:
F = qE = 1.6x10⁻¹⁹( 1.8x10⁶ )
F = 2.88x10⁻¹³ N
Acceleration of electron = F/m
Ae = 2.88x10⁻¹³/(9.11x10⁻³¹)
Ae = 3.16x10¹⁷ m/s² towards the bead
Acceleration of proton= 2.88x10⁻³/(1.67x10⁻²⁷)
Ap = 1.72x10¹⁴ m/s² away from bead
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a 800 kg elevator starts from rest. it moves upward for 5.00 s with constant acceleration until it reaches its cruising speed, 1.75 m/s. (a) what is the average power of the elevator motor during this period?
The average power will be 7103 Watt.
The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
800 kg, t = 5 s, Vi = 0, Vf = 1.75 m/s.
V = Vi + a * t
a = V / t
a= 0.35
F = m * a
F = 800 * ( 9.81 + 0.35) = 8128 N
The distance the elevator travels in 5 seconds is D =a * t^2 / 2 =
0.35 * 5^2 / 2 = 4.37 m
P = F * D / t = 7103 W
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