Answer:
the correct option is: "Its speed changes, but its velocity and acceleration remain the same."
Explanation:
5. In the equation for work, F is the ————
applied to the object and d is the —————-
through which the force is applied.
Answer:
F is the force applied to the object and d or "S" is the distance through which the force is applied
An uncharged conducting sphere of radius a is coated with a thick insulating shell (dielectric constant ϵr ) out to radius b. This object is now placed in an otherwise uniform electric field E0. Find the electric field in the insulator.
The electric field in the insulator is E0/εr.
When the conducting sphere is placed in the electric field E0, the charges in the sphere rearrange themselves such that the electric field inside the sphere is zero.
The electric field in the insulating shell is proportional to the electric field outside the sphere, which is E0. The dielectric constant εr of the insulator indicates how much the electric field is reduced inside the insulator compared to the external field.
Therefore, the electric field in the insulator is given by E0/εr. This means that the electric field in the insulator is reduced by a factor of εr compared to the external field.
For more such questions on electric, click on:
https://brainly.com/question/1100341
#SPJ11
PLS HELP 25 POINTS!
Match these items.
1 .
ecology
ancient plants and animals
2 .
fossil fuel
consumers
3 .
chlorophyll
water loss
4 .
animals
relationship of organisms to their environment
5 .
transpiration
nitrogen-fixing bacteria
6 .
groundwater
energy converting pigment
7 .
habitat
producer
8 .
respiration
use of energy in food
9 .
plants
where an organism lives
10 .
rhizobium
stored in porous rock
The correct matches are: 1. ecology - the relationship of organisms to their environment,2. fossil fuel - ancient plants and animals, 3. chlorophyll - energy-converting pigment, 4. animals - consumers, 5. transpiration - water loss, 6. groundwater - stored in porous rock,7. habitat - the location where an organism lives, 8. respiration - use of energy in food, 9. plants - producer, and 10. rhizobium - nitrogen-fixing bacteria.
Fossil fuels are energy sources that are formed from the remains of dead plants and animals that were buried and exposed to extreme heat and pressure over millions of years. These fuels include coal, oil, and natural gas and are non-renewable resources because they take so long to form. Fossil fuels are used extensively in many industries, including transportation, electricity generation, and manufacturing, but their use is also associated with environmental problems, such as air pollution and climate change.
Rhizobium is a type of nitrogen-fixing bacteria that is found in the root nodules of leguminous plants such as peas, beans, and clover. These bacteria form a symbiotic relationship with the plant, in which the bacteria convert atmospheric nitrogen into a form that the plant can use for growth and development.
The bacteria infect the root hairs of the plant and form nodules where they reside. Inside the nodules, the bacteria receive carbohydrates from the plant in exchange for fixing nitrogen gas from the air into ammonia. The plant then uses ammonia to make amino acids and other nitrogen-containing compounds that are essential for growth. This process is known as nitrogen fixation, and it helps to replenish the soil with nitrogen, which is necessary for the growth of plants. Without the help of nitrogen-fixing bacteria like Rhizobium, many plants would not be able to survive in nitrogen-poor soils.
Therefore, The correct answers are 1. ecology - the relationship of organisms to their environment,2. fossil fuel - ancient plants and animals, 3. chlorophyll - energy-converting pigment, 4. animals - consumers, 5. transpiration - water loss, 6. groundwater - stored in porous rock,7. habitat - the location where an organism lives, 8. respiration - use of energy in food, 9. plants - producer, and 10. rhizobium - nitrogen-fixing bacteria.
To learn more about habitat fragmentation click:
https://brainly.com/question/28815163
#SPJ1
why is the sky blue (on earth)? why is the sky blue (on earth)? no one knows; this is one of the great mysteries of science. because molecules scatter red light more effectively than blue light.
The sky appears due to blue from the earth because of the Rayleigh scattering.
When the light enters into the atmosphere of the earth it collides with the gas particle and then it scatters and travel in all the possible direction. As per the Rayleigh scattering, the blue light scatter more as it has smaller wavelength when compared with the red wavelength .
The red light is scattered less, allowing it to continue its path through the atmosphere and reach an observer at sunrise or sunset, giving the sky a reddish hue. So, the correct option is: because molecules scatter red light more effectively than blue light.
To know more about Rayleigh scattering, visit,
https://brainly.com/question/30694232
#SPJ4
which units would not be appropriate for describing a rotational acceleration?multiple choicerad/s2rad/min2incorrectrev/s2m/s2rev/h2
The unit that would not be appropriate for describing rotational acceleration is: m/s².
This unit is used for linear acceleration, not rotational acceleration.
Rotational acceleration is typically described using units such as rad/s², rad/min², rev/s², or rev/h².
These units are specifically designed to measure the rotational movement of an object, which is quite different from the linear movement of an object.
The unit "m/s2" is used to measure linear acceleration, which is the rate of change of linear velocity, and is not suitable for measuring rotational acceleration.
Therefore, it is important to use the appropriate units when describing any physical quantity to avoid confusion and errors. In the case of rotational acceleration, the units should be either "rad/s²" or "rad/min²" to accurately convey the rate of change of the rotational velocity.
To know more about "Acceleration" refer here:
https://brainly.com/question/31479424#
#SPJ11
What is double-slit time diffraction at optical frequencies?
Double-slit time diffraction at optical frequencies is a phenomenon where light is passed through two narrow slits that are placed close together.
As the light waves pass through the slits, they interfere with each other and create an interference pattern on a screen placed behind the slits. This pattern is created due to the diffraction of light waves, which causes them to bend around the edges of the slits and interfere with each other.
This phenomenon is particularly important in optics, as it allows us to study the behavior of light waves and their interaction with matter.
Double-slit diffraction at optical frequencies refers to the interference pattern produced when light waves of optical frequencies pass through two closely spaced slits. The pattern results from the superposition of light waves, creating areas of constructive and destructive interference, which correspond to bright and dark bands respectively. This phenomenon demonstrates the wave nature of light and is a fundamental concept in the study of optics and wave physics.
To know more about Frequencies click here .
brainly.com/question/31189964
#SPJ11
An 950 kg sports car slows to 12 m/s to check out the scene of an accident. A 1800 kg truck moving at 20 m/s rear-ends the sports car. If the two automobiles lock bumpers, what will their combined velocity be after the collision?
Answer:
17.24 m/s
Explanation:
Let’s denote the combined velocity of the sports car and the truck after the collision as v. The initial momentum of the system is given by the sum of the momenta of the sports car and the truck: (950 kg) * (12 m/s) + (1800 kg) * (20 m/s). The final momentum of the system is given by the momentum of the combined mass of the sports car and the truck moving at velocity v: (950 kg + 1800 kg) * v.
By the principle of conservation of momentum, the initial and final momenta of the system must be equal. Therefore, we have:
(950 kg) * (12 m/s) + (1800 kg) * (20 m/s) = (950 kg + 1800 kg) * v
Solving for v, we find that:
v = [(950 kg) * (12 m/s) + (1800 kg) * (20 m/s)] / (950 kg + 1800 kg)
v ≈ 17.24 m/s
So the combined velocity of the sports car and the truck after the collision is approximately 17.24 m/s.
sensory stimuli that activate receptors generate action potentials that are sent into the cns.
True
False
The given statement "Sensory stimuli activate receptors, which generate action potentials that are sent into the Central Nervous System (CNS)." is true. These action potentials carry information from various sensory receptors to the CNS for processing and response.
Any event or thing that is perceived by the senses and causes a person to react is referred to as a sensory stimulus. The stimulus may take many different forms, including light, heat, sound, touch, and internal elements. We get sensory stimuli and information from the environment through sensory receptors located throughout our bodies. Our hands, feet, lips, mouth, tongue, eyes, ears, nose, and skin all have a significant number of these sensory receptors. Each of the seven senses has a different set of seven types of receptors.
More on Sensory stimuli: https://brainly.com/question/9008678
#SPJ11
watch the astronomy in action video about velocity, force, and acceleration, and answer the following question. if you have trouble loading the video or would like to open it in a new tab, please click here. in the video, the loaded car accelerated less than the unloaded car when the same force was applied. this was noticeable because the loaded car choose one or more: a. reached the end of the track faster. b. was traveling less quickly after a little time had passed. c. reached the end of the track more slowly. d. was traveling faster after a little time had passed.
When the same force is applied to two cars, one loaded and one unloaded, the car with the heavier load will have a larger mass. The correct answer is : b.
According to Newton's second law of motion, F = ma.
Since the mass of the loaded car is greater than the mass of the unloaded car, it will have a smaller acceleration for the same net force. This means that the loaded car will take a longer time to reach the same speed or cover the same distance as the unloaded car. Therefore, the loaded car will exhibit slower acceleration compared to the unloaded car, so the correct option is: b.
To know more about Newton's second law, here
brainly.com/question/13447525
#SPJ4
--The complete Question is, Which of the following were likely noticeable when comparing the acceleration of a loaded car to an unloaded car when the same force was applied?
a) Slower initial speed
b) Slower acceleration
c) Longer stopping distance
d) Louder engine noise --
you successfully focused your microscope on your specimen with the 10x and 40x objective lenses and you've now added a drop of immersion oil and spun the 100x objective lens into place to look at your slide at the highest magnification. what should you do next?
After adding immersion oil and spinning the 100x objective lens into place, the next step is to adjust the focus and position of the slide using the fine adjustment knob.
It is important to be gentle and precise when using the fine adjustment knob, as even a small movement can cause the specimen to go out of focus.
Also, it is important to note that immersion oil should only be used with the 100x objective lens, as it has a very short working distance and requires the oil to prevent loss of resolution due to refraction of light.
After use, the immersion oil should be cleaned off the lens carefully using lens cleaning solution and lens paper.
To learn more about microscope here:
https://brainly.com/question/18661784
#SPJ11
a object is located at 2 m from a converging lens. if the image distance is 4 m, what is the power of the lens?
The power of the converging lens is 0.25 diopters.
We will use the lens formula and the definition of power:
1. Lens formula: 1/f = 1/u + 1/v
2. Power of a lens: P = 1/f
Given:
Object distance (u) = -2 m (negative sign indicates the object is on the left side of the lens)
Image distance (v) = 4 m (positive sign indicates the image is on the right side of the lens)
Apply the lens formula to find the focal length (f).
1/f = 1/(-2) + 1/4
Calculate the common denominator.
1/f = (-1 + 2) / 4
Simplify the equation.
1/f = 1/4
Find the focal length (f).
f = 4 m.
Calculate the power of the lens (P) using the power formula.
P = 1/f
Plug in the focal length (f) into the power formula.
P = 1/4.
Convert the power to diopters.
P = 0.25 diopters.
For similar question on converging.
https://brainly.com/question/30114464
#SPJ11
if the resistance of a circuit remains constant while the voltage across the circuit decreases to half its former value, what change occurs in the current?
The current in the circuit would also decrease to half its former value.
According to Ohm's Law, the current flowing through a circuit is directly proportional to the voltage across the circuit, and inversely proportional to the resistance of the circuit. This can be expressed as I = V/R, where I is the current, V is the voltage, and R is the resistance.
In this scenario, the resistance of the circuit remains constant. If the voltage across the circuit decreases to half its former value, then the current in the circuit must also decrease in order to maintain the same resistance value. This can be mathematically expressed as:
I = V/R
I (new) = (V/2) / R
I (new) = V/2R
Therefore, the current in the circuit would decrease to half its former value. This is because as the voltage decreases, there is less energy available to push the electrons through the circuit, resulting in a lower current flow.
To know more about resistance, visit here :
brainly.com/question/30799966
#SPJ11
from your reading of the james kasting 2019 review article for homework 3, what is the main criteria for defining the habitable zone around a star?
The main criteria for defining the habitable zone around a star is the range of distances where liquid water can exist on a planet's surface.
The range of distances at which liquid water may exist on the surface of a planet serves as the primary criterion for establishing the habitable zone around a star. The brightness, temperature, and spectral type of the star, as well as the planet's atmosphere, surface albedo, and the greenhouse effect, all contribute to determining this distance.
The range of distances from a star where a planet with a sufficient atmosphere may keep liquid water on its surface, which is thought to be a need for the existence of life as we know it, is commonly referred to as the habitable zone.
Learn more about the star:
https://brainly.com/question/25115985
#SPJ4
suppose the changes in state are reversible processes. can you conclude anything about the work done by the system upon going from state 1 to state 2 as compared to that upon going from state 2 back to state 1 ?
If the changes in state are reversible processes, then the work done by the system upon going from state 1 to state 2 is equal in magnitude but opposite in sign to the work done by the system upon going from state 2 back to state 1.
This is because a reversible process is one that can be reversed without any net entropy production. In other words, if we reverse the process, the system will follow the same path back to its original state, and the work done in the reverse process will be equal in magnitude but opposite in sign to the work done in the forward process.
Therefore, we can conclude that the work done by the system upon going from state 1 to state 2 is equal in magnitude but opposite in sign to the work done by the system upon going from state 2 back to state 1, provided that the changes in state are reversible processes.
For more question on work click on
https://brainly.com/question/8119756
#SPJ11
I need the answer for this physics question.
Answer:
Trough
Explanation:
Amplitude is how high/low the waves go from the center line
Nodes are the intersection between the wave and the center line
Crests are the top/peaks of each wave
Troughs are the bottom of each wave. Pretty much the opposite of crests
what is the equation for finding the net torque on a dipole? Why does the dipole exhibit a torque?
The equation for finding the net torque on a dipole is given by τ = p × E, where τ represents the torque, p is the dipole moment, and E is the electric field.
A dipole exhibits a torque because it consists of two opposite charges separated by a distance, and when placed in an electric field, these charges experience forces in opposite directions, causing a rotational effect or torque. The torque tends to align the dipole moment with the direction of the electric field, and the strength of the torque depends on the magnitude of the dipole moment and the electric field, as well as the angle between them.
To learn more about torque https://brainly.com/question/20691242
#SPJ11
bob is coming toward you at a speed of 75 km/hr. you throw a baseball in his direction at 75 km/hr. what does he see the ball doing? bob is coming toward you at a speed of 75 km/hr. you throw a baseball in his direction at 75 km/hr. what does he see the ball doing? he sees the ball going away from him at 75 km/hr. he sees the ball coming at him at 75 km/hr. he sees the ball going away from him at 150 km/hr. he sees the ball coming at him at 150 km/hr. he sees the ball remaining stationary.
According to the principle of relativity, the motion of an object is always relative to the observer. In this case, Bob is moving towards you at a speed of 75 km/hr, while you throw a baseball towards him at the same speed of 75 km/hr.
From Bob's perspective, he would observe the ball coming towards him at a speed of 75 km/hr, but he would also observe that the ball is moving in the same direction as him, so the relative speed between him and the ball would be the difference between their speeds, which is 0 km/hr. Therefore, Bob would see the ball remaining stationary relative to him.
To know more about principle of relativity, here
brainly.com/question/14757986
#SPJ4
what would the resultant force have been at the instant of release, if a 350 g mass were suspended from your spring, pulled down 3 cm and released? 2. what would have been the instantaneous acceleration at the moment of release? 3. why wasn't just one cycle used to measure the period in step 7? explain. 3
1. Since the force is in the opposite direction to the displacement, the negative sign indicates that the force is a restoring force. Therefore, the resultant force at the instant of release is 0 N.
2. Since the resultant force at the instant of release is 0 N, the acceleration of the mass is also 0 m/s^2.
3. More than one cycle is used to measure the period in step 7 to improve the accuracy of the measurement.
1. The resultant force at the instant of release can be calculated using Hooke's law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position. The equation for Hooke's law is:
F = -kx
where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.
Assuming the spring has a spring constant of 10 N/m, the force exerted by the spring when the mass is pulled down 3 cm is:
F = -kx = -(10 N/m)(0.03 m) = -0.3 N
2. The instantaneous acceleration at the moment of release can be calculated using Newton's second law, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the object's mass. The equation for Newton's second law is:
a = F/m
where a is the acceleration of the object, F is the net force acting on the object, and m is the mass of the object.
3. A single cycle may not be representative of the actual period, as there may be small variations in the period from cycle to cycle. By measuring the period over multiple cycles and taking an average, the effects of these variations can be minimized, resulting in a more accurate measurement of the period.
For more question on force click on
https://brainly.com/question/12970081
#SPJ11
Which of the assumptions of the kinetic-molecular theory best explains the observation that a balloon collapses when exposed to liquid nitrogen (which is much colder than a cold winter day)?
A
Gas molecules move at random with no attractive forces between them.
B
The velocity of gas molecules is proportional to their kelvin temperature.
C
The amount of space occupied by a gas is much greater than the space occupied by the actual gas molecules.
D
Collisions with the walls of the container or with other molecules are elastic.
The assumption of the kinetic-molecular theory that best explains the observation that a balloon collapses when exposed to liquid nitrogen is option B - the velocity of gas molecules is proportional to their Kelvin temperature.
What if the balloon is exposed to liquid nitrogen?When a balloon is exposed to liquid nitrogen, the temperature of the gas inside the balloon decreases drastically.
According to the kinetic-molecular theory, the velocity of gas molecules is directly proportional to their temperature in Kelvin. As the temperature decreases, the velocity of the gas molecules also decreases.
This results in lower kinetic energy and reduced collisions with the walls of the balloon, causing it to collapse.
This demonstrates the relationship between temperature and the behavior of gas molecules in accordance with the kinetic-molecular theory.
So, the answer for this question is B.
Learn more about kinetic theory at
https://brainly.com/question/11067389
#SPJ11
Why do elastic balls bounce so well?They permanently deform, storing energy.They are all filled with a special energy-absorbent liquid.They are always thrown well.They store energy through compression, like a spring.
Elastic balls bounce so well primarily due to their ability to store energy through compression, much like a spring. When the ball hits a surface, its material deforms and compresses, temporarily storing the energy from the impact. As the ball returns to its original shape, it releases the stored energy, causing it to bounce back into the air.
Elastic balls are typically made of materials with high elasticity, which allows them to deform and recover efficiently. This property helps minimize energy loss during the deformation and compression process. Although some elastic balls may permanently deform over time, this generally does not contribute to their bouncing ability.
It is important to note that the bouncing performance of an elastic ball is not solely determined by the presence of a special energy-absorbent liquid or how well it is thrown. Rather, the key factor in a ball's ability to bounce is the efficient storage and release of energy through compression and deformation.
In summary, elastic balls bounce well because they can store energy through compression and efficiently release that energy when returning to their original shape. The materials used in these balls have high elasticity, which plays a crucial role in their impressive bouncing capabilities.
To know more about Elastic balls click here:
https://brainly.com/question/17879061
#SPJ11
you place your light soure 50 cm away from a converging lens an image is produced on a screen 100 behind the lens what is the focal length of the lens
The focal length of the converging lens is 33.3 cm.
In order to determine the focal length of the converging lens, we can use the lens equation:
1/f = 1/do + 1/di
where f is the focal length of the lens, do is the distance between the object (the light source) and the lens, and di is the distance between the image and the lens.
In this problem, we have do = 50 cm and di = 100 cm. Substituting these values into the lens equation, we get:
1/f = 1/50 cm + 1/100 cm
Simplifying this expression, we get:
1/f = 0.03[tex]cm^_-1[/tex]
Multiplying both sides by f, we get:
f = 33.3 cm
Therefore, the focal length of the converging lens is 33.3 cm.
This result means that the lens is designed to focus parallel light rays onto a point located 33.3 cm away from the lens. The distance between the object and the lens affects the position and size of the image formed by the lens, while the focal length determines the degree of convergence of the light rays passing through the lens.
It is worth noting that the lens equation assumes that the lens is thin, meaning that its thickness is negligible compared to its radius of curvature. In addition, the lens equation assumes that the light rays passing through the lens are close to the optical axis and that the lens is made of a homogeneous material with a constant refractive index.
To learn more about focal length, refer:
https://brainly.com/question/31502901
#SPJ4
The complete answer is:
You place your light source 50.0 cm away from a converging lens; an image is produced on a screen 100.0 cm behind the lens. What is the focal length of the lens? What is the magnification of the image?
(1 points) a paraglider has airspeed of 16 km/h moving due east with respect to air. due to wind, it is moving due north relative to the ground, and it has a ground speed of 12 km/h. what is the speed and direction of the wind?
The speed and direction of the wind are found to be 28km/h and south respectively.
Let's call the speed of the wind "v" and its direction relative to due east "θ". The velocity of the paraglider has to be resolved into two vector components.
Eastward component:
12 km/h = (16 km/h)cos(θ) + v cos(θ)
Northward component:
0 km/h = (16 km/h)sin(θ) + v sin(θ)
Simplifying the equations:
cos(θ)(16 km/h + v) = 12 km/h
sin(θ)(16 km/h + v) = 0 km/h
But if θ were 0°, then the wind would be blowing due east, which would mean that the paraglider would have no northward component of velocity relative to the ground.
Substituting into the first equation,
cos(180°)(16 km/h + v) = 12 km/h
-1(16 km/h + v) = 12 km/h
v = -28 km/h
So, the wind speed is 28km/h in the south direction.
To know more about vector components, visit,
https://brainly.com/question/3214758
#SPJ4
35 a 35 percent-efficient coal-fired power plant with effective height of 100 m emits so2 at a the rate of 0.6 lb/106 btu into the plant. if winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 m, how large could the plant be (mw) without having the ground level so2 exceed 365 mg/m3?
The coal-fired power plant can be of maximum 1226 MW without having the ground level SO₂ exceed 365 mg/m³.
Efficiency of the power plant, η = 35% = 0.35
Effective height of the stack, H = 100 m
SO₂ emission rate into the plant, E = 0.6 lb/10⁶ Btu
Wind speed at stack height, U₁ = 4 m/s
Wind speed at 10 m height, U₂ = 3 m/s
Maximum permissible ground level SO₂ concentration, C = 365 mg/m³
First, we need to find the effective stack height, Heff which is given by the following equation:
Heff = H + 0.8 * (D/2)^2 / H
where D is the diameter of the stack. Since the diameter of the stack is not given, we assume it to be 5 meters.
Heff = 100 + 0.8 * (5/2)² / 100
Heff = 101 m
Next, we need to find the ground level SO₂ concentration, Cground which is given by the following equation:
Cground = (3.9 * E * Q / U₁ * Heff * η)^0.8
where Q is the flow rate of the exhaust gases.
Q = P / (T * R)
where P is the power output of the power plant and T is the absolute temperature of the exhaust gases.
We assume the exhaust gases to be at a temperature of 400°C.
T = (400 + 273) K
T = 673 K
Now, we can find the power output of the power plant, P.
P = E / η * Q * 10⁶
Substituting the given values, we get:
Q = P / (T * R)
Q = (E / η * 10⁶) / (T * R)
Q = (0.6 / 0.35 * 10⁶) / (673 * 8.314)
Q = 101.4 kg/s
P = E / η * Q * 10⁶
P = 0.6 / 0.35 * 101.4 * 10⁶
P = 1772 MW
However, we need to find the maximum permissible power output, Pmax. Rearranging the equation for Cground, we get:
Pmax = (Cground * U₁ * Heff * η / (3.9 * E))^1.25
Substituting the given values, we get:
Cground = 365 * 10⁻³ kg/m³
U₁ = 4 m/s
Heff = 101 m
η = 0.35
E = 0.6 lb/10⁶ Btu
Pmax = (365 * 10⁻³ * 4 * 101 * 0.35 / (3.9 * 0.6))^1.25
Pmax ≈ 1226 MW
Therefore, the coal-fired power plant can be of maximum 1226 MW without having the ground level SO₂ exceed 365 mg/m³.
To know more about coal-fired power plant refer here:
https://brainly.com/question/30622290#
#SPJ11
The siemens, the SI derived unit of electric conductance and admittance (the reciprocal of resistance in ohms), is also known by what three-letter "semordnilap"?
The three-letter "semordnilap" for the siemens, the SI derived unit of electric conductance and admittance, is MES.
a star is found to have absolute magnitude 4 and apparent magnitude 24. how far away is it?
The star is 100,000 light-years away from us.
The star is extremely far away, and its distance can be calculated using the distance modulus formula. This formula relates the star's absolute magnitude and apparent magnitude to its distance, and can be used to determine the distance of stars that are too far away to measure directly. To determine the distance of the star, we can use the distance modulus formula, which relates the apparent magnitude (m) and absolute magnitude (M) to the distance (d) of the star:
m - M = 5log(d/10)
Substituting the given values, we get:
24 - 4 = 5log(d/10)
20 = 5log(d/10)
4 = log(d/10)
d/10 = 10^4
d = 10^5
Therefore, the distance of the star is 100,000 light-years away.
To know more about star, visit:
https://brainly.com/question/31258649
#SPJ11
what is the density of platinum if it crystallizes in a face-centered cubic unit cell with an edge length of 393 pm?
Answer:
Volume of FCC unit cell = (edge length)^3 * 4/3 * pi / 8
where pi is approximately 3.14.
Substituting the given values, we get:
Volume of FCC unit cell = (393 pm)^3 * 4/3 * pi / 8
= 6.273 x 10^-23 m^3
Next, we need to find the mass of one unit cell of platinum. To do this, we need to know the atomic weight of platinum, which is 195.084 g/mol. One mole of platinum contains Avogadro's number of atoms (6.022 x 10^23 atoms/mol), and since one unit cell contains four atoms in an FCC structure, we can calculate the mass of one unit cell as:
Mass of one unit cell = Atomic weight / Avogadro's number * 4
Substituting the given values, we get:
Mass of one unit cell = 195.084 g/mol / 6.022 x 10^23 atoms/mol * 4
= 1.280 x 10^-20 g
Finally, we can calculate the density of platinum as:
Density = Mass / Volume
= 1.280 x 10^-20 g / 6.273 x 10^-23 m^3
= 20.40 g/cm^3
Therefore, the density of platinum is approximately 20.40 g/cm^3.
Explanation:
The density of platinum if it crystallizes in an FCC unit cell with an edge length of 393 pm is approximately [tex]21.0 g/cm^3[/tex].
To find the density of platinum (Pt) in a face-centered cubic (FCC) unit cell, we need to first calculate the volume of the unit cell.
In an FCC unit cell, there are 4 atoms located at the corners of the cube and 1 atom located at the center of each face of the cube. This gives us a total of 4 atoms x (1/8) + 6 faces x (1/2) = 4 x (1/8) + 3 = 4 atoms in the unit cell.
The edge length of the unit cell is given as 393 pm. We need to convert this to meters to get a consistent unit for volume:
[tex]1 pm = 1 * 10^{-12} m[/tex]
[tex]393 pm = 393 * 10^{-12} m = 3.93 * 10^{-10} m[/tex]
The volume of the unit cell can be calculated as:
[tex]V = a^3[/tex], where a is the edge length of the cube
[tex]V = (3.93 * 10^{-10} m)^3 = 6.14 * 10^{-29} m^3[/tex]
Since there are 4 Pt atoms in the unit cell, we need to find the mass of 4 Pt atoms and divide by the volume of the unit cell to obtain the density. The molar mass of Pt is 195.08 g/mol.
The mass of 4 Pt atoms is:
[tex]4 atoms x (195.08 g/mol) / (6.022 * 10^{23} atoms/mol) = 1.28 * 10^{-21} g[/tex]
Now we can calculate the density of Pt:
Density = mass / volume
Density = [tex]1.28 * 10^{-21} g / 6.14 * 10^{-29} m^3[/tex]
Density = [tex]21.0 g/cm^3[/tex]
For more question on density click on
https://brainly.com/question/952755
#SPJ11
an opaque surface with the prescribed spectral, hemispherical reflectivity distribution is subjected to the spectral irradiation shown. (a) sketch the spectral, hemispherical absorptivity distribution. (b) determine the total irradiation on the surface. (c) determine the radiant flux that is absorbed by the surface. (d) what is the total, hemispherical absorptivity of this surface?
(a) Spectral, hemispherical absorptivity distribution cannot be determined without additional information.
(b) Total irradiation on the surface is 4.5 W/m².
(c) Radiant flux absorbed by the surface is 3.5 W/m².
(d) Total, hemispherical absorptivity of this surface is 0.78.
To answer the question, we will consider the following terms: opaque surface, prescribed spectral hemispherical reflectivity distribution, spectral irradiation, spectral hemispherical absorptivity distribution, total irradiation, radiant flux, and total hemispherical absorptivity.
(a) To sketch the spectral, hemispherical absorptivity distribution, we need to first find the absorptivity values for each wavelength in the given spectral irradiation.
Since the surface is opaque, we know that absorptivity (α) + reflectivity (ρ) = 1. Therefore, for each wavelength, we can calculate the absorptivity by subtracting the given reflectivity values from 1. Then, plot the absorptivity values against the wavelengths to create the distribution.
(b) To determine the total irradiation on the surface, you need to integrate the given spectral irradiation function over the entire wavelength range. This will give you the total irradiation incident on the surface in Watts per square meter (W/m²).
(c) To determine the radiant flux that is absorbed by the surface, multiply the spectral irradiation by the spectral absorptivity for each wavelength. Then, integrate this product over the entire wavelength range. This will give you the absorbed radiant flux in Watts (W).
(d) To find the total, hemispherical absorptivity of this surface, divide the absorbed radiant flux (from step c) by the total irradiation on the surface (from step b). This will give you a dimensionless number that represents the total, hemispherical absorptivity of the surface.
To know more about "Wavelength" refer here:
https://brainly.com/question/12832020#
#SPJ11
if N is 300moles , pressure is 11.7atm, temperature is 100K, what is volume?
If N is 300 moles, the gas has a volume of roughly 2029.27 liters at 11.7 atm of pressure and 100 K of temperature.
How is the volume determined?The following formula must be used to determine a gas's volume using the Ideal Gas Law equation:
PV = nRT
Where:
Pressure is P. (in atm)
Volume is V. (in liters)
n = the substance's quantity (in moles)
R = 0.0821 L atm/mol K, or the gas constant.
Temperature is T. (in Kelvin)
Using the supplied parameters as a starting point, we obtain: (11.7 atm) × V = (300 moles) × (0.0821 L-atm/mol-K) × (100 K)
After simplifying and finding V, we arrive at the following equation: V = (300 moles) × (0.0821 L atm/mol K) × (100 K) / (11.7 atm)
V = 2029.27 liters.
To learn more about Ideal Gas Law visit:
brainly.com/question/28257995
#SPJ1
kylie leans a 30-foot ladder against a wall so that it forms an angle of 74 ∘ ∘ with the ground. what’s the horizontal distance between the base of the ladder and the wall? round your answer to the nearest hundredth of a foot if necessary.
To find the horizontal distance between the base of the ladder and the wall, we need to use trigonometry. The horizontal distance is the adjacent side of the triangle formed by the ladder, the wall, and the ground. The ladder is the hypotenuse of the triangle, and the angle formed between the ladder and the ground is 74 degrees.
We can use the cosine function to find the adjacent side:
cos(74) = adjacent / 30
adjacent ≈ 8.27 feet
Therefore, the horizontal distance between the base of the ladder and the wall is approximately feet. Rounded to the nearest hundredth of a foot, the answer is 8.27 feet.
To find the horizontal distance between the base of the ladder and the wall, we can use the trigonometric function cosine. Given that Kylie leans a 30-foot ladder against a wall, forming an angle of 74° with the ground, we can apply the cosine function as follows:
Step 1: Identify the known values:
- Adjacent side (the horizontal distance) = x
- Hypotenuse (the ladder) = 30 feet
- Angle between the ground and the ladder = 74°
Step 2: Apply the cosine function:
cos(74°) = adjacent side (x) / hypotenuse (30 feet)
Step 3: Solve for x:
x = 30 feet * cos(74°)
Step 4: Calculate the value of x:
x ≈ 30 * 0.2756 ≈ 8.27 feet (rounded to the nearest hundredth of a foot)
So, the horizontal distance between the base of the ladder and the wall is approximately 8.27 feet.
To know more about horizontal distance visit:
https://brainly.com/question/10093142
#SPJ11
if the proton travels in a straight line through region 2, what is the magnitude and direction of the electric field?
To determine the magnitude and direction of the electric field in region 2 when a proton travels in a straight line through it, we need to know the potential difference and distance across the region.
Electric field is a physical quantity used to describe the electric forces and interactions between charged particles. It is defined as the force per unit charge acting on a charged particle in the field. The electric field is a vector field, meaning that it has both magnitude and direction, and is typically represented by electric field lines.
The electric field is generated by charged particles, such as electrons and protons, and is responsible for the attractive and repulsive forces between these charged particles. The strength of the electric field is dependent on the distance from the source charge and the magnitude of the charge itself. Electric fields can be measured and quantified using various techniques, including Coulomb's law and Gauss's law. They play a crucial role in many areas of science and engineering, including electronics, telecommunications, and medical imaging. Electric fields also have practical applications in technologies such as capacitors, electric motors, and generators.
To learn more about Electric field visit here:
brainly.com/question/8971780
#SPJ4