False. The voltage reaches its maximum value 1/4 of a period after the current reaches its maximum value is false.
Bogus. In an air conditioner circuit, the voltage and current are out of stage with one another because of the presence of receptive components like capacitors or inductors. How much time shift between the voltage and current waveforms relies upon the recurrence of the air conditioner signal and the upsides of the circuit components. While the voltage waveform might lead or slack the ongoing waveform, the time contrast between their greatest qualities isn't really 1/4 of a period. It relies upon the particular circuit and the stage point between the voltage and current waveforms. Subsequently, the explanation that the voltage arrives at its most extreme worth 1/4 of a period after the ongoing arrives at its greatest worth isn't by and large obvious.
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bob is pushing a box across the floor at a constant speed of 1.1m/s m / s , applying a horizontal force whose magnitude is 55n n . alice is pushing an identical box across the floor at a constant speed of 2.2m/s m / s , applying a horizontal force. a) what is the magnitude of the force that alice is applying to the box?
The boxes are identical and they have the same mass. Also, since both boxes are moving at a constant speed, their acceleration is zero. Therefore, the force that Alice is applying to the box is also 55 N.
To find the magnitude of the force that Alice is applying to the box, we need to use the equation: force = mass x acceleration
Since both boxes are identical, they have the same mass. Also, since both boxes are moving at a constant speed, their acceleration is zero. Therefore, the force that Alice is applying to the box is also 55 N.
To find the magnitude of the force Alice is applying, we should first understand that the force applied is proportional to the velocity when the boxes are moving at a constant speed. Since Alice's box moves at 2.2 m/s and Bob's box moves at 1.1 m/s, Alice's box is moving twice as fast as Bob's box.
To maintain this constant speed, the force applied must also be doubled. Since Bob is applying a force of 55 N, Alice must apply a force of 2 times 55 N, which is equal to 110 N. Therefore, the magnitude of the force Alice is applying to the box is 110 N.
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order for our moon
When the moon first formed, it was only 14,000 above the Earth's surface outside f
Roche limit. It took only to 100
to form.
When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.
The distance between two celestial bodies which are held together with the force of gravity between them, is called the Roche limit or Roche radius.
The order for our moon is that,
When the moon first formed, it was only 14,000 miles above the Earth's surface outside the Roche limit.
It took only to 100 years to form.
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Question 50 Marks: 1 The amount of heat required to lower one pound of a product one degree Fahrenheit isChoose one answer. a. exothermal extraction b. the specific heat c. the coolant factor d. important to know
The correct answer is Specific heat.
The amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit at standard atmospheric pressure is called specific heat in BTU (British Thermal Unit) which is a unit of measurement for energy used as per the British system.
BTU is used for measuring the heating or cooling capacity of an appliance as per the FPS system. For example, the BTU rating of a furnace or air conditioner indicates how much heat or cooling it can produce in a given period of time.
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1) If we could see our own galaxy from 2 million light-years away, it would appear
A) as a flattened disk with a central bulge and spiral arms.
B) as a faintly glowing band of light stretching all the way around the sky.
C) to fill the sky with widely spaced stars.
D) like a single, dim star.
A) If we could see our own galaxy from 2 million light-years away, it would appear as a flattened disk with a central bulge and spiral arms.
This is because our galaxy, the Milky Way, has a spiral structure with a central bulge surrounded by a disk containing the spiral arms. The stars, gas, and dust within these arms emit light, making the galaxy visible as a flattened disk with a central bulge and spiral arms from a distance.From a distance of 2 million light years, it would appear as a flattened disk with a central bulge and spiral arms. This structure is visible from Earth, but from a distant perspective it would be difficult to see any individual stars.
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Question 12
The greatest exposure to human made ionizing radiation for most individuals is through:
a. Eating plants that contain radioactive elements
b. Medical x-rays
c. Nuclear power plant emissions
d. Building made of stone
The greatest exposure to human-made ionizing radiation for most individuals is through medical X-rays.
Therefore the answer is b. Medical x-rays.
Medical X-rays are a common source of ionizing radiation exposure for many people. X-rays use electromagnetic radiation to produce images of the inside of the body, and the radiation can potentially damage living tissue at high doses. While the dose from a single X-ray is usually small, frequent or unnecessary medical imaging can increase an individual's cumulative exposure. Eating plants that contain radioactive elements, living in a building made of stone, and exposure to nuclear power plant emissions can also result in ionizing radiation exposure, but these sources are generally less significant than medical X-rays for most individuals.
Therefore, the greatest exposure to human made ionizing radiation for most individuals is through medical X-rays. Hence the correct answer is option b.
The level of radiation exposure also depends on a variety of factors, such as the type of radiation, the duration of exposure, and the distance from the source. To minimize the risk of radiation exposure, it is important to use medical imaging only when necessary, follow appropriate safety procedures in radiation-related occupations, and limit exposure to other sources of ionizing radiation when possible.
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7. During the spin-dry cycle of a washing machine, the motor slows from 90 rad/s to 30 rad/s while the turning the drum through an angle of 180 radians. What is the magnitude of the angular acceleration of the motor?
A) 64 rad/s2
B) 32 rad/s2
C) 10 rad/s2
D) 20 rad/s2
E) 1.0 rad/s2
20 rad/s^2 is the magnitude of the angular acceleration of the motor.
To find the angular acceleration of the motor, we need to use the formula:
angular acceleration = (final angular velocity - initial angular velocity) / time
In this case, we are given the initial and final angular velocities, but we don't know the time it takes for the motor to slow down. However, we do know the angle through which the drum turns during this time.
We can use the formula:
angle = (1/2) * angular acceleration * time^2
Rearranging this formula to solve for time, we get:
time = sqrt(2 * angle / angular acceleration)
Substituting the given values, we get:
180 = (1/2) * angular acceleration * (sqrt(2 * 180 / angular acceleration))^2
Simplifying:
180 = angular acceleration * 2 * 180 / angular acceleration
180 = 360
This is not possible, so we made a mistake somewhere. Let's try another approach.
We can use the formula:
final angular velocity^2 = initial angular velocity^2 + 2 * angular acceleration * angle
Substituting the given values, we get:
30^2 = 90^2 + 2 * angular acceleration * 180
Simplifying:
900 - 8100 = 360 * angular acceleration
-7200 = 360 * angular acceleration
angular acceleration = -20 rad/s^2
This answer is negative, which means that the motor is decelerating. To get the magnitude of the angular acceleration, we need to take the absolute value:
magnitude of angular acceleration = |-20| = 20 rad/s^2
Therefore, the correct answer is D) 20 rad/s^2.
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An element becomes a positively charged ion when itloses protons.loses electrons.gains electrons.gains neutrons.
Answer:
An element becomes a positively charged ion when it losses electron.
Explanation:
Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. Neutral refers to an object that carries no net charge.
Electric charge is a conserved attribute, meaning that the net charge—that is, the sum of the positive and negative charges in an isolated system—cannot change. Subatomic particles carry an electric charge. In the nuclei of atoms, protons have positive charge and electrons carry negative charge in normal matter.
So, an element becomes a positively charged ion when it loses negative charge, that is, electron.
(240-3)(310-15(A)(16)What size conductor (75 degrees C) is required for a 70 ampere breaker that supplies a 70 ampere load?
A 4 AWG copper conductor would be suitable for this application.
The first step is to simplify the expression inside the parentheses:
(240-3)(310-15(A)(16)) = (237)(310-240A)
Then, we can use the formula I = P/V to determine the current (I) required for a 70 ampere load, given the power (P) and voltage (V). Assuming a standard voltage of 120V, we get:
I = P/V = 8400W/120V = 70A
Since the breaker and load are both 70A, we need a conductor that can handle at least 70A. To account for potential heat buildup, we will use the 75 degrees C ampacity rating for the conductor.
Consulting a wire ampacity chart, we find that a 4 AWG copper conductor has an ampacity of 85A at 75 degrees C, which is more than enough for the 70A load. Therefore, a 4 AWG copper conductor would be suitable for this application.
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For the Rockwell Hardness tester, what is the minor load that is usually applied to the indenter?
The minor load that is usually applied to the indenter in the Rockwell Hardness test is 10 kgf (kilogram-force).
The Rockwell Hardness test is a popular method used to measure the hardness of metals and other materials. It measures the depth of indentation made by an indenter under a specific load, and is expressed as a hardness number.
The Rockwell test uses two loads: a minor load and a major load. The minor load is applied first to set the position of the indenter, and is usually 10 kgf. The major load is then applied to make the indentation, and can vary depending on the hardness of the material being tested.
After the major load is removed, the depth of the indentation is measured using a dial gauge or other instrument, and the Rockwell hardness number is determined based on the difference between the depth of the indentation with the major load and the depth of the indentation with the minor load.
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The magnetic field at the center of a circular coil of wire with N0 turns and radius R0 and carrying current I0 can be doubled by:
The magnetic field at the center of a circular coil can be doubled by either doubling the number of turns (No) to 2No or doubling the current ([tex]I_{0}[/tex]) to 2[tex]I_{0}[/tex].
The magnetic field at the center of a circular coil is given by the formula B = (μ0 * No * [tex]I_{0}[/tex]) / (2 * [tex]R_{0}[/tex]), where μ0 is the permeability of free space. To double the magnetic field, we need to increase the numerator of the formula by a factor of 2. This can be achieved by either increasing the number of turns No or the current [tex]I_{0}[/tex]. Alternatively, we can decrease the radius [tex]R_{0}[/tex] by a factor of √2, since the magnetic field is inversely proportional to the radius. Therefore, the magnetic field at the center of a circular coil can be doubled by increasing the number of turns or the current, or by decreasing the radius by a factor of √2.
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Which stars are the most common?
A) Stars with a larger mass and a larger radius than the Sun's are the most common.
B) Stars with a smaller mass and a smaller radius than the Sun's are the most common.
C) Stars with a larger mass and a smaller radius than the Sun's are the most common.
D) Stars with a smaller mass and a larger radius than the Sun's are the most common.
E) All of the above are equally common.
Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. The correct answer about stars is B
Stars are the most widely recognized astronomical objects, and represent the most fundamental building blocks of galaxies. The age, distribution, and composition of the stars in a galaxy trace the history, dynamics, and evolution of that galaxy. Moreover, stars are responsible for the manufacture and distribution of heavy elements such as carbon, nitrogen, and oxygen, and their characteristics are intimately tied to the characteristics of the planetary systems that may coalesce about them. Consequently, the study of the birth, life, and death of stars is central to the field of astronomy. The most common stars in the universe are those with a smaller mass and a smaller radius than the Sun's. Therefore, the correct answer is B) Stars with a smaller mass and a smaller radius than the Sun's are the most common. These stars are known as red dwarfs and they make up about 70-80% of all stars in the universe. Stars with a larger mass and radius than the Sun's, such as blue giants or super giants, are much less common.
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As a roller coaster travels down a hill, it accelerates at a rate of 7 m/s. If its speed at the top of the hill is 3 m/s what is its speed after 4 seconds
The speed of the roller coaster after 4 seconds will be 31[tex]\sf{ms^{-1}}[/tex]
We know that,
[tex]\larger{\bf{\boxed{\boxed{v = u + at}}}}[/tex]
where,
v = final velocity u = initial velocity = 3 [tex]\sf{ms^{-1}}[/tex]a = acceleration = 7 [tex]\sf{ms^{-2}}[/tex]t = time = 4 seconsAfter putting all values
[tex]\implies{\sf{v = 3 + (7 \times 4)}} \\ \implies{\sf{v = 3 + 28}} \\ \bf{\implies{v = 31 \ ms^{-1}}}[/tex]
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https://brainly.com/question/14344386https://brainly.com/question/24905073A particle of mass 5kg is supported by two strings which makes angles 60° and 30° with the horizontal. Determine the tension of each string [take acceleration due to gravity to be 10m/s^2]
Answer: the tension in the first string is 25N and the tension in the second string is 43.3N.
Explanation:
T1
/\
/ \
/ \
/60° \
/ \
/ \
/_________\
O 5kg T2
30°
The present discussion considers the tensions T1 and T2 acting upon two strings, with a particle denoted as "O" possessing a mass of 5kg under scrutiny.
One may employ Newton's second law to calculate the magnitudes of the tensions present in a system, as it states that the overall force acting upon an object is proportional to the product of its mass and acceleration. In this instance, the particle remains at rest as the net force acting upon it is equal to zero. Henceforth, it follows that the equilibrium of tension in every string is contingent upon the equivocation of the weight of the particle along the corresponding string direction.
By means of trigonometry, it is feasible to ascertain the constituents of the particle's weight with respect to each directional axis.
weight = m * g = 5kg * 10m/s^2 = 50N
weight_x = weight * sin(30°) = 25N
weight_y = weight * sin(60°) = 43.3N
a coil is placed next to a straight wire. the current in the wire is as shown in the diagram below. the coil and wire lie in the same plane with the z axis perpendicular to the plane of the coil. (a) as the current in the wire increases, find the direction of the induced current in the coil by answering the following questions. (i) what is the direction of the magnetic field due to the current carrying wire in the center of the coil? ---select--- (ii) as the current in the wire increases, how will the magnetic flux in the coil change? ---select--- (iii) what is the direction of the induced magnetic flux in the coil? ---select--- (iv) what is the direction of the induced current in the coil? ---select---
The magnetic field produced by the current-carrying wire at the coil's centre is directed into or away from the coil and perpendicular to its plane.
The magnetic flux through the coil grows as the wire's current increases. The magnetic field produced by the coil's induced magnetic flux opposes the change that caused it, counteracting the wire's growing magnetic field.
Thus, in accordance with Lenz's law, the induced current in the coil moves in a direction that opposes the rise in the magnetic field of the wire in an effort to keep the system in balance.
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Air flows at along a flat surface when it encounters a jet of air issuing from the horizontal wall at point as in Fig. The jet volume flow is per unit depth into the paper. If the jet is approximated as an inviscid line source, ( ) locate the stagnation point on the wall. ( ) How far vertically will the jet flow extend into the stream?
(a) If the jet is approximated as an inviscid line source, locate at 0.05308m stagnation point on the wall.(b) 0.1067m vertically will the jet flow extend into the stream.
The sink strength is related the volume flow to the depth into the flat surface,
m= θ/2πb
θ = jet volume flow
b = depth into paper
m= 0.4/2×3.14×1
m= 0.0637m²/s
(a) The stagnation point from the wall,
v₀ = velocity of water along the axis.
a = m/v₀
a= 0.0637/1.7
a = 0.05308m
(b)The jet flow vertically exert into the stream
L= 2a
L = 2 ×0.05308
L = 0.1067m
Therefore, If the jet would be approximated as an inviscid line source, locate at 0.05308m stagnation point on the wall. 0.1067m vertically would be the jet flow extend into the stream.
The complete question is,
air flows at 1.2 m/s along a flat surface when it encounters a jet of air issuing from the horizontal wall at point a, as in fio p8.16. the jet volume flow is 0.4 m/s per unit depth into the paper. if the jet is approximated as an inviscid line source, (a) locate the stagnation point s on the wall. (b) how far vertically will the jet flow extend into the stream?
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identify the methods below that are used to measure temperature. multiple select question. calculating the temperature based on thermoelectric responses the expansion and contraction of mercury in a glass tube counting the number of atoms using a powerful microscope measuring the wavelengths of electromagnetic energy given off by an object
The area that the flashbulb is focused towards is then illuminated using the light and heat that are produced. As the chemical energy is transformed into both light and heat, creating a powerful and bright light source, this energy transformation is a very effective process.
The methods used to measure temperature from the options you provided are:
1. Calculating the temperature based on thermoelectric responses.
2. The expansion and contraction of mercury in a glass tube.
3. Measuring the wavelengths of electromagnetic energy given off by an object.
A flashbulb's energy transformation entails the translation of chemical energy into electromagnetic energy as well as heat energy in chemical energy.
The flashbulb stores chemical energy, which is then released when the bulb is activated. Then, this energy is transformed into thermal energy, which is the heat produced by the lightbulb, as well as electromagnetic energy, which is the light that the lightbulb emits.
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What do you think could happen if your epiglottis malfunctions?
The epiglottis acts as a small, moveable "lid" that lies close to the throat & stops liquids and food against entering the windpipe. Epiglottis edoema might totally restrict the airway. This can result in difficulty breathing or failure of respiration.
What leads to the covering of the throat to fail?Epiglottitis usually occurs by a bacterial infection of H. influenzae type b (Hib). Hib can induce a variety of dangerous diseases, including pneumonia and meningitis, in addition to epiglottitis.
Is it possible to injure the epiglottis?Any epiglottis injury can impair an individual's capacity to eat, communicate, and possibly breath effectively. The epiglottis can be damaged for a variety of reasons, including malignancy, injury, and infection. In such circumstances, surgical reconstruction can be used to repair the epiglottis.
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how fast in seconds can the 149 a current through a 0.350 h inductor be shut off if the induced emf cannot exceed 74.0 v?
The 149 A current through the 0.350 H inductor can be shut off in about 0.704 seconds without exceeding the induced emf limit of 74.0 V.
We can use the formula:
ε = -L (dI/dt)
where ε is the induced emf, L is the inductance, and dI/dt is the rate of change of current. The negative sign indicates that the induced emf opposes the change in current.
We want to find the maximum rate at which the current can be shut off without exceeding the induced emf limit of 74.0 V.
Rearranging the formula and solving for dI/dt, we get:
dI/dt = -ε / L
Substituting the given values, we get:
dI/dt = -74.0 V / 0.350 H = -211.4 A/s
This means that the current through the inductor can be decreased at a maximum rate of 211.4 A/s without exceeding the induced emf limit of 74.0 V.
To find the time it takes to shut off the current completely, we can use the formula:
t = ΔI / (dI/dt)
where ΔI is the change in current. In this case, ΔI = 149 A (the initial current) - 0 A (the final current) = 149 A. Substituting the values, we get:
t = 149 A / 211.4 A/s = 0.704 s
Therefore, the 149 A current through the 0.350 H inductor can be shut off in about 0.704 seconds without exceeding the induced emf limit of 74.0 V.
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What happens when winds in cities hit other buildings or the ground?
When winds in cities hit other buildings or the ground, they can create a phenomenon known as wind turbulence. This can cause the wind to become unpredictable and potentially dangerous, particularly in areas where buildings are close together or where there are many tall structures.
The wind may change direction suddenly or even create gusts that can cause damage to buildings or other structures. To mitigate the effects of wind turbulence, architects and engineers design buildings to be more aerodynamic and use materials that can withstand strong winds. Additionally, cities may implement measures such as planting trees and other vegetation to help reduce the impact of wind on buildings and other structures.
When winds in cities hit other buildings or the ground, it causes a phenomenon called the urban heat island effect. This happens because the buildings and ground absorb and re-emit heat, leading to higher temperatures in urban areas compared to rural ones. Additionally, winds can be channeled between buildings, creating stronger gusts and potentially affecting the stability of structures or causing discomfort for pedestrians.
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20. A 0.254-m diameter circular saw blade rotates at a constant angular speed of 117 rad/s. What is the tangential speed of the tip of a saw tooth at the edge of the blade?
A) 29.7 m/s
B) 14.9 m/s
C) 9.46 m/s
D) 7.45 m/s
E) 2.17 m/s
The tangential speed of the tip of a saw tooth at the edge of the blade is 14.9 m/s.
To find the tangential speed of the tip of a saw tooth at the edge of the blade, we can use the following formula:
tangential speed = radius x angular speed
The radius of the circular saw blade is half of its diameter, which is 0.254/2 = 0.127 m. The angular speed is given as 117 rad/s. Thus, we can calculate the tangential speed as:
tangential speed = 0.127 m x 117 rad/s = 14.859 m/s
Rounding to two significant figures, we get the answer as 14.9 m/s, which is option B. Therefore, the tangential speed of the tip of a saw tooth at the edge of the blade is 14.9 m/s.
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(330-116) The metallic sheath of metal-clad cable shall be continuous and _____.
(330-116) The metallic sheath of metal-clad cable shall be continuous and bonded or grounded.
In interlocking or corrugated sheath Type MC cable, the requirement for a minimum bend radius of 10 times the external diameter of the metallic sheath is a crucial safety feature that works to avoid damage to the cable's insulation and lower the possibility of electrical failure. Electricians and electrical contractors can make sure that their electrical systems are secure and operate at their best by adhering to this criterion.
The National Electric Code (NEC) mandates that bends in interlocking or corrugated sheath Type MC cable have radii that are at least ten times larger than the metallic sheath's exterior diameter. This condition was put in place to prevent the cable's insulation from being damaged, which could result in a reduction in electrical performance or perhaps a dangerous situation.
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A 110 kg football player runs at 8 m/s and plows into an 80 kg referee that is standing still on the football field. The referee moves forward at 5 m/s.
a. What is the momentum of the football player before the collision?
b. What is the momentum of the referee before the collision?
c. What is the total momentum before the collision? (Hint: add a and b)
d. What is the momentum of the referee after the collision?
e. What must be the momentum of the football player after the collision?
f. Find the football players speed after the collision.
Answer:
See below
Explanation:
(a) Momentum can be solved with the formula: p = mv, where m and v are mass and velocity, respectively. So, p = (110kg) * (8m/s) = 880 kg* m/s
(b) Since v = 0 m/s, p = 0 kg * m/s
(c) The total momentum is 880 + 0 = 880 kg * m/s
(d) pi = pf
880 = 190 *vf -----> vf = 4.631 m/s
p = mv = (80kg) * (4.631 m/s) = 370.53 kg * m/s
(e) p = mv = (110kg) * (4.631 m/s) = 509.47 kg * m/a
(e) 4.631 m/s (as solved in part (d) )
A ray of light is travels through air (n = 1.00) and into a Lucite block. Its velocity slows to 2.14 x 10^8 m/s. What is the index of refraction for Lucite?
A ray of light is travels through air (n = 1.00) and into a Lucite block. Its velocity slows to 2.14 x 10⁸ m/s. The index of refraction for Lucite is 1.40.
What is index of refraction?An optical media's refractive index, also known as refraction index, is a dimensionless number that indicates how well the medium bends light.With wavelength, the refractive index may change. When refracted, this allows white light to separate into its component hues. It's known as dispersion. In prisms, rainbows, and as chromatic aberration in lenses, this phenomenon can be seen. A refractive index with a complex value can be used to describe how light moves through absorbent materials. The attenuation is then taken care of by the imaginary part, while refraction is handled by the real part. For the majority of materials, the refractive index varies by several percent with wavelength over the visible spectrum.
The index of refraction for Lucite can be calculated by using the equation,
n = [tex]\frac{c}{v}[/tex], where c is the speed of light in a vacuum and v is the speed of light though Lucite.
So, in this case,
n =[tex]\frac{3 * 10^8}{2.14*10^8}[/tex] = 1.40
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If the air temperature remains constant, evaporating water into the air will ________ the dew point and ________ the relative humidity.
-increase, decrease
-decrease, increase
-decrease, decrease
-not change, increase
-increase, increase
If the air temperature remains constant, evaporating water into the air will increase the dew point and decrease the relative humidity. The dew point is the temperature at which the air becomes saturated with water vapor and condensation begins to form.
Relative humidity is the ratio of the amount of water vapor in the air to the maximum amount of water vapor the air can hold at a given temperature and pressure.
When water evaporates into the air, it increases the amount of water vapor in the air. This increase in water vapor content causes the dew point to increase since more water vapor is required to saturate the air. In other words, the air can hold more water vapor before reaching saturation.
At the same time, the increase in water vapor content from evaporation can cause the relative humidity to decrease, since the amount of water vapor in the air is increasing without an increase in the maximum capacity for water vapor at that temperature. This means that the air is becoming less saturated since the ratio of water vapor in the air to the maximum amount it can hold is decreasing.
Overall, the increase in dew point and decrease in relative humidity from evaporating water into the air can have important effects on weather patterns and human comfort and are important factors to consider in a variety of fields, from meteorology to agriculture to building design.
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Question 100
Leaching from a garbage dump has been found to pollute wells
a. 2000 feet away
b. 1400 feet away
c. 100 feet away
d. 50 feet away
Leaching from a garbage dump can cause groundwater pollution, which can contaminate wells and threaten human health. In this case, the answer is (c) 100 feet away,
The distance at which wells can be affected by pollution depends on various factors, such as the type and amount of waste, the permeability of soil and the depth of the groundwater table. In this case, the answer is (c) 100 feet away, which means that the contamination has spread relatively close to the dump site. This highlights the importance of proper waste management practices to prevent groundwater pollution and protect public health.
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21.15 the 20-lb disk rolls on the horizontal surface. its radius is the spring constant is at the spring is unstretched and the disk has a clockwise angular velocity of 2 rad/s. what is the amplitude of the resulting vibrations of the center of the disk?
The angular velocity of the disk remains constant as it rolls on the horizontal surface. However, the spring will introduce vibrations to the system.
The amplitude of these vibrations will depend on the spring constant and the radius of the disk. Without knowing these values, it is impossible to determine the amplitude of the resulting vibrations of the center of the disk.
To find the amplitude of the resulting vibrations of the center of the disk, we need to consider the system's properties: constant, velocity, and vibrations. Given the disk has a constant clockwise angular velocity of 2 rad/s,
we can calculate the linear velocity (v) of the disk using the formula v = rω, where r is the radius of the disk, and ω is the angular velocity. However, the radius is not provided in the question. Once we have the linear velocity, we can examine the spring and its spring constant (k).
Unfortunately, the spring constant value is also missing in the question. With both the linear velocity and the spring constant, we can then use the equations of motion for a simple harmonic oscillator to determine the amplitude (A) of the resulting vibrations.
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A 50 kg sprinter, starting from rest, runs 50m in 7.0s at constant acceleration.a. What is the magnitude of the horizontal force acting on the sprinter?b. What is the sprinter’s power output at 2.0 s, 4.0 s, and 6.0s?
The magnitude of the horizontal force acting on the sprinter is 56 N, the sprinter's power output at 2.0 s is 125.44 W, at 4.0 s is 251.68 W, and at 6.0 s is 376.32 W.
a. To find the magnitude of the horizontal force acting on the sprinter, we can use the following kinematic equation:
[tex]d = 0.5 * a * t^2[/tex]
where d is the distance traveled (50m), t is the time taken (7.0s), and a is the acceleration of the sprinter.
Solving for a, we get:
[tex]a = 2 * d / t^2[/tex]
[tex]= 2 * 50m / (7.0s)^2[/tex]
[tex]= 1.12 m/s^2[/tex]
Next, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration:
F_net = m * a
Substituting the values, we get:
[tex]F_net =[/tex][tex]50kg * 1.12 m/s^2[/tex]
= 56 N
Therefore, the magnitude of the horizontal force acting on the sprinter is 56 N.
b. The power output of the sprinter can be calculated using the following formula:
P = F * v
where P is the power, F is the force, and v is the velocity.
At 2.0 s:
The sprinter's velocity can be found using the following kinematic equation:
v = a * t
where a is the acceleration found earlier [tex](1.12 m/s^2)[/tex], and t is the time taken (2.0 s).
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 2.0 s= 2.24 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 2.24 m/s= 125.44 W[/tex]
Therefore, the sprinter's power output at 2.0 s is 125.44 W.
At 4.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 4.0 s= 4.48 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 4.48 m/s= 251.68 W[/tex]
Therefore, the sprinter's power output at 4.0 s is 251.68 W.
At 6.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 6.0 s= 6.72 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 6.72 m/s= 376.32 W[/tex]
Therefore, the sprinter's power output at 6.0 s is 376.32 W.
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the speed of sound increases by about 0.4 m/s for each degree celsius when the air temperature rises. for a given sound, as the temperature increases, what happens to the wavelength?
As the temperature of the air increases, the speed of sound also increases.
This is because warmer air molecules move faster and collide with each other more frequently, which makes sound waves travel faster through the medium.
According to the given information, the speed of sound increases by about 0.4 m/s for each degree Celsius of temperature rise.
The wavelength of a sound wave is directly proportional to the speed of sound in the medium. This means that as the speed of sound increases, the wavelength of the sound wave also increases.
The relationship between the two is described by the formula:
wavelength = speed of sound / frequency
Since the frequency of the sound wave remains constant, an increase in the speed of sound due to a rise in temperature will result in an increase in the wavelength of the sound wave.
Therefore, as the air temperature increases, the wavelength of the sound wave also increases.
It is worth noting that the effect of temperature on sound waves is more significant for high-frequency sounds, such as those produced by musical instruments or human speech.
This is because high-frequency sounds have shorter wavelengths and are more strongly influenced by changes in the speed of sound. In summary, as the air temperature rises, the speed of sound increases, resulting in an increase in the wavelength of the sound wave.
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The wavelength of a particular sound decreases as air temperature increases.
This is due to the fact that while the frequency of sound fluctuates with temperature, the speed does not. Since speed equals frequency times wavelength, the equation must hold if speed increases while the frequency remains constant. In other words, since the speed has increased, the same number of waves will pass a location in less time, hence the wavelength must be smaller to make up for it. In disciplines like acoustics and meteorology, this phenomenon—known as the dependence of the speed of sound on temperature—must be taken into account.
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Question 42 Marks: 1 Beta particles can be stopped by a few millimeters of aluminum.Choose one answer. a. True b. False
a. True. Beta particles are high-energy electrons or positrons that can be stopped by thin layers of materials such as aluminum, which can block them after a few millimeters.
Beta particles, which are high-energy electrons emitted from some radioactive elements, can be blocked by a few millimeters of aluminum. Aluminum is an effective shield because of its high atomic number and because it is a good conductor of electricity. The aluminum absorbs the beta particle, preventing it from traveling any further. In addition, because aluminum is a good conductor of electricity, it helps to dissipate the energy of the beta particle, diminishing its power.
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What is the minimal force needed to overcome static friction in the first experiment?
The force that opposes an object's motion while it is stationary or not moving in relation to another object or surface is called static friction. The amount of static friction is influenced by a number of variables, such as the coefficient of friction between the materials, the normal force, and the roughness of the surfaces in contact.
You would need to give more specifics, such as the materials used, the surfaces in contact, the angle of the surfaces, and any other pertinent information, in order to establish the minimal force required to overcome static friction in a specific experiment.
Normally, observations or calculations based on the particular conditions and characteristics of the experiment are required to ascertain the minimal force required to overcome static friction in a given experiment. This may entail the use of tools like force gauges or friction testers, as well as the consideration of elements like the contact area, the weight of the involved items, and the properties of the materials in contact.
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