If the linerar density stays constant, which it does when the string length is 0.235 meters, the same frequency would be produced by the same string tension of 41.58 N on a smaller violin.
f1=196 Hz
l1=0.33 m
t1=82N
Now f1=1/2l1√T1/μ
μ=4.9*10⁻³ kg/m
f2=f1=196 Hz
196=1/2*L₂√T₂/μ
T₂=41.58 N
In physics, tension is defined as the pulling force transmitted axially by a string, rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object. Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements.A force known as tension is particularly effective on medium-length materials like rope and cord that are also flexible. A gravitational force still exists in tension. When the body is moving upward, the tension is denoted by the formula T = W + ma.
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a cylinder is fitted with a piston, beneath which is a spring, as in the drawing. the cylinder is open to the air at the top. friction is absent. the spring constant of the spring is 4200 n/m. the piston has a negligible mass and a radius of 0.023 m. (a) when the air beneath the piston is completely pumped out, how much does the atmospheric pressure cause the spring to compress? (b) how much work does the atmospheric pressure do in compressing the spring?
0.39 cm is the compression in the spring by atmospheric pressure. Work done by the atmospheric pressure is 0.031J in compressing the spring.
a) When the air beneath the piston is completely pumped out, then formula for the atmospheric pressure causing the spring to compress will be: p°A = kx
where, x= compression, A= area, p°= atmospheric pressure and k= spring constant
Now, p°A = kx
x = p°A/x
x = p° (πr²)/k
Putting the values: x= {(1.0 × 10⁵) × π × (0.023)²}/4200
x= 0.0039 meter
Thus, x= 0.39 cm is the compression in the spring.
b) work done by the atmospheric pressure to compress the spring will be: W=(1/2)kx²
where, w= work done, k= spring constant and x= compression
Now, W=(1/2)kx²
W= (1/2) × 4200 × (0.0039)²
W= 0.031 Joule
Thus, work done by the atmospheric pressure is 0.031J.
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A train travel 14 econd at a velocity of -50 m/ from an initial poition of 700m. What i the final poition?
The final position of the train with a velocity of -50 m/s is 0.
What is velocity?
Velocity refers to the speed of an object or the measure of the rate of an object which is expressed as the rate of change of the position with time. It is a vector quantity and also the rate of change of displacement. There are different types such as, uniform velocity, average velocity, instantaneous velocity, variable velocity etc. The velocity of any object cannot be greater than its speed.
The final position of the train with velocity of -50 m/s can be calculated as,
-50 m/s x 14 s = -700 m per 14 s.
Initial position = +700 m.
Final position = 700 m + (-700m) = 0
Therefore, the final position of the train with a velocity of -50 m/s is 0.
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28.5 g of iron shot is added to a graduated cylinder containing 45.50 ml of water. the water level rises to the 49.10ml mark, from the information, calculate the density of iron. socratic.org
The density of iron is 7.92g/ml when the water level rises to the 49.10ml mark.
What is density?The quantity of something per unit volume, unit area, or unit length: as. : the mass of a substance per unit volume. Density expressed in grams per cubic centimeter.
What is graduated cylinder?A tall narrow container with a volume scale used especially for measuring liquids.
How to calculate density?The formula for density is:
density = mass / volume
Here, volume of iron
49.10 mL− 45.50 mL = 3.60 mL
The volume of the iron shot = 3.60 mL
Density of iron:
density = 28.5 g / 3.60 mL
= 7.92 g/mL
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true or false-either a b757 or a large aircraft require 5 nm of radar separation behind a heavy jet at touchdown!
aircraft type means a particular model of aircraft as designated by the manufacturer of the aircraft.
What is aircraft type?Aviation provides the only rapid worldwide transportation network, which makes it essential for global business. It generates economic growth, creates jobs, and facilitates international trade and tourism.Civil aircraft. All nonmilitary planes are civil aircraft. These include private and business planes and commercial airliners. Private aircraft are personal planes used for pleasure flying, often single-engine monoplanes with nonretractable landing gear.An aircraft is any machine that can fly. Airplanes, hot air balloons, helicopters, or even flying platforms are considered aircraft! An airplane is a specific type of aircraft that has fixed wings and is heavier than air that is capable of sustained, powered, and controlled flight.The main sections of an airplane include the fuselage, wings, cockpit, engine, propeller, tail assembly, and landing gear. Understanding the basic functions of how these parts interact is the first step to understanding the principles of aerodynamics.The objective of safety management in the aviation industry is to prevent human injury or loss of life, and to avoid damage to the environment and to property.I think it's false
A) 0.005
B) 0.001
C)0.0495
Step-by-step explanation:
Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;
P(A) = Probability that an aircraft is present
P(A') = Probability that an aircraft is not present
P(B) = Probability that the radar generates an alarm
P(B') = Probability that the radar doesn't generate an alarm
Thus from what we are given, we have;
P(A) = 0.05
P(A') = 0.95
P(B) = 0.99
P(B') = 0.01
P(B|A') = 0.1
A) Probability of a false alarm will be;
P(A' ∩ B) = P(A) × P(B|A')
P(A' ∩ B) = 0.05 × 0.1 = 0.005
B) probability of missed detection is;
0.1 × (1 - 0.99) = 0.001
C) probability that an aircraft is present given that the radar registers a presence will be;
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.05 × 0.99
P(A ∩ B) = 0.0495
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What is the order of frequency from lowest to highest?.
The order of frequency from lowest to highest will be Gamma rays X-rays , ultraviolet radiation , visible light , infrared radiation and radio waves
Order of frequency from lowest to highest from lowest to highest of EM spectrum will be :
Gamma rays
X-rays
ultraviolet radiation
visible light
infrared radiation
and radio waves
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at what distance from a 27 mw point source of electromagnetic waves is the electric field amplitude 0.090 v/m ?
The distance from the point source is 8,100m
What is distance?
Distance is a measurement of the distance apart two objects or points are, either numerically or occasionally qualitatively. Distance can be a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (including such statistical distance between probabilistic or edit distance between strings of text). This is because spatial cognition is indeed a rich source of conceptual metaphors in human thought. he concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.
The electric field intensity at a distance from a point source depends on the inverse square of the distance from the source. Therefore, the distance from the point source can be calculated using the following equation:
Distance (d) = (1/ (E/E0))2 x 27m
Where E is the electric field intensity (0.090 V/m) and E0 is the electric field intensity at a distance of 27m (27mW).
Therefore, the distance from the point source is:
d = (1/ (0.090/27))2 x 27m = 8,100m
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which type of balance involves mirroring a design across a central axis? a.asymmetrical b.informal c.radial d.symmetrical
symmetrical type of balance involves mirroring a design across a central axis.
What is a balance force?
Forces acting on a target without changing either its uniform motion or its state of rest are said to be balanced forces. Unbalanced force: When two opposing forces interact, an object is driven into motion. These competing forces are out of equilibrium.
What is symmentry balance?
When a design has two similar sides and a center point of axis, it is said to be symmetrical; as a result, the left and right sides of the design are mirror images of one another.
Therefore, the option(a) is correct- symmetrical.
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Please help
Hearing loss is often due to...
loss of hair cells.
deterioration of the ear canal.
puncturing of the eardrum.
connective muscles wearing thin.
Answer: loss of hair cells
Explanation:
The hair cells in the ear canal create the essential vibrations needed for both the ear and brain to process the sound, without them, vibrations cannot be fully developed.
Answer: Loss of hair cells
Explanation: I got it right on the quiz
Which of the following best describes an example of normative social influence? a. Carrie is studying with a group of friends. When comparing answers on the practice test, she discovers that they all answered the question differently than she had. Instead of speaking up and telling them she thinks the answer is something else, she agrees with their answer because she figures they must be right. b. Samantha is supposed to bring a bottle of wine to a dinner party she is attending. She doesn't drink wine herself but figures she can just ask the store clerk for advice on what kind to buy c. Miranda is out to lunch with her boss and coworkers. Her boss tells a joke that makes fun of a certain ethnic group, and everyone else laughs. Miranda doesn't think the joke is funny but laughs anyway. d. Charlotte is flying on an airplane for the first time. She is worried when she hears the engine make a strange noise but feels better after she looks at the flight attendants and sees that they are not alarmed.
The flight attendants are a good example of normative social influence because they are people who are experts in the situation and Charlotte trusts them to know what is going on. She sees that they are not alarmed by the noise, so she assumes that it is not a big deal and relaxes.
d. Charlotte is flying on an airplane for the first time. She is worried when she hears the engine make a strange noise but feels better after she looks at the flight attendants and sees that they are not alarmed.The Power of Normative Social InfluenceWhen it comes to social influence, there is a lot of power in conformity. We often conform to the norms of our social groups in order to fit in and feel like we belong. In some cases, this can lead to us going along with things that we don't actually believe in or agree with.
However, there are also times when conformity can be a good thing. For example, if you are in a new situation and you are not sure what to do, it can be helpful to look to the people around you to see how they are behaving. This can give you a good idea of what the social norms are and help you to avoid doing anything that would be considered inappropriate.
In conclusion, normative social influence is a powerful force that can lead us to both good and bad decisions. It is important to be aware of its influence so that we can make sure that we are making the choices that are right for us.
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an 91-g arrow is fired from a bow whose string exerts an average force of 115 n on the arrow over a distance of 74 cm .
According to given question the speed of the arrow as it leaves the bow is 41.32m/sec.
What does force, in brief, mean?The definition of force in physics is: This push or draw on a massed object changes its velocity. An unseen factor is an agency that has the power to alter the resting or movement condition of a body. It has both a trajectory and a size.
What are examples of force?There are several instances of energies in daily life, including: heft and drive (i.e. the weight of something) is force a swing applies to a ball. the pressure that a hair applies to hairs when stroking it. the pressure your foot applies to the pedal whenever you're riding your bike.
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which of the following risk factors is contributed by the roadway and environment? (a) blurred vision (c) bald tires (b) bright sun (d) broken headlight 2. six areas of space around a vehicle that are the width of a lane and
The person having blurred vision then that person is more prone to the roadways risk.
What is roadways?
Roadway risk is the term for dangers or damage that could result in traffic collisions.
The type of road and the driving circumstances are included in these roadway risks.
It includes bad weather and lighting, both of which cause the driver to be distracted.
What is the difference between road and roadway?
A road includes the whole thing, from shoulder to shoulder, including parts that can't be driven on (parking spaces, bike lanes).
A "roadway" is only that portion of a road intended for normal vehicular traffic.
Therefore, if a person having blurred vision then that person is more prone to the roadways risk.
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child of mass 20 kg is located 2.5 m from the fulcrum or pivot point of a seesaw. where must a child of mass 30 kg sit on the seesaw in order to provide balance?
The little one needs to be seated 1.8 meters away from the pivot point in order to stay balanced.
What is meant by mass?The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we see have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy. An object's mass, or how much matter it contains, can be measured as an indicator of its inertial property. The force of gravity or the force necessary to support an object is measured by its weight. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force.Let the first child be A.
Let the second child be B.
Given the following data:
Mass of A = 20.0 kg
Mass of B = 30.0 kg
Distance = 3.00 m
We'd take a moment to think about a pivot to figure out how far the young child needs to be from the pivot point in order to keep their balance:
Let n be the distance to the pivot.
The child's separation from the pivot is equal to 3 - n.
Counterclockwise moment equals clockwise moment
30(3 - n) = 20 n
90 - 30 n = 20 n
90 = 20 + 30 n
90 = 50 n
n = 90/ 50
n = 1.8 meters
Therefore, The little one needs to be seated 1.8 meters away from the pivot point in order to stay balanced.
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On an essentially frictionless, horizontal ice rink, a skater moving at 6.0 m/s encounters a rough patch that reduces her speed by 48 % due to a friction force that is 25 % of her weight.
Part A. Use the work-energy theorem to find the length of this rough patch. Express your answer using two significant figures.
The length of this rough patch is 4.9 m.
The work-energy theorem, in simple words, expresses that the change in the kinetic energy in an object is equal to the work done on the object by non-conservative forces, like frictional ones.
In the question, we know that the skater is moving at a given speed, and due to the effects of friction, her speed is reduced to 40%.
Added to this, we are told that the friction force is equal to 22% of her weight so we can write the following:
Ff = 0.22 m. g.
Now the work done by this force is equal to the product of the force times the distance during which the force acted, i.e, the distance that we are looking for.
So, we can write the following in a brief:
ΔK = Wf ⇒ 1/2 m (vf² - v₀²) = -Ff . x
(The negative sign explains that the friction force always opposes the relative movement between the two surfaces in contact).
Replacing the values, and solving for x, we get:
1/2 ( 2² - 5²) = -0.22. 9.8. x ⇒ x = 4.9 m
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a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground. how tall is the building? [neglect friction.]
If a baseball dropped from the roof of a tall building takes 3.1 seconds to hit the ground, the height of the building would be 47.1 m.
According to Newton's second law of motion,
[tex]s=ut+\frac{1}{2}at^{2}[/tex]
Where, s is the distance covered by the body, u is its initial velocity, t is the time taken by the body, and a is the acceleration of the body.
Here, the distance covered will be equal to the height of the building.
Since the ball was dropped, its initial velocity will be zero.
Also, the acceleration of the ball is the acceleration due to gravity, [tex]g=9.8 m/s^{2}[/tex].
Substituting the values,
[tex]h=0+\frac{1}{2} gt^{2}[/tex]
[tex]h=\frac{1}{2} \times9.8\times3.1^{2}[/tex]
[tex]h=47.1m[/tex]
Therefore, the height of the building would be 47.1 m.
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how much work is required to move it at constant speed 5.0 m along the floor against a friction force of 270 n .
Work required to move it at constant speed 5.0 m along the floor against a friction force of 270 N is 1350 Joule.
An object placed on rough surface will have friction force. There's 2 friction force which is static friction force and dynamic friction force. In this case, the object is moving, the friction force happened in the system is dynamic friction force.
The information we got on the question, the object has 270 N friction force. And the object moved at constant speed with 5.0 m in distance. While the work are determined by multiplying force with distance, in this case the force is dynamic friction force. Then, work can be calculated by:
W = f x s
Where,
W = Work, J
f = friction force, N
s = distance, m
W = 270 x 5.0
W = 1350 J
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the principle of superposition can be used to determine the combined loading stress state as long as the system that you are analyzing remains linear.
It is true that the principle of superposition can be used to determine combined loading stress state as long as the system that you are analyzing remains linear.
What is the principle of superposition?The superposition principle is also known as superposition property. It states that, for all linear systems, net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually.
We can also say that the superposition principle states that when two or more waves overlap in space, then the resultant disturbance is equal to the algebraic sum of the individual disturbances.
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If the density of an object is 8 g/cm3 and the mass is 200 g. What is the volume of the object.
The volume of the object will be [tex]25 cm^{-3}[/tex]. Volume is calculated by dividing, the given mass by an object's density.
What is Density?
It is the mass per cubic centimetre of volume, which is represented by either rho (ρ) or d.
What is Mass?
It shows the measurement of matter in a body. Units used in its calculation are in grams [tex](g)[/tex] or kilograms [tex](kg)[/tex].
What is Volume?
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
How to Calculate Volume?
According to the formula of density (d), [tex]M[/tex][tex]=[/tex] Mass of the object, [tex]200 g[/tex], and [tex]V=[/tex] Volume of the object, [tex]8 gcm^{-3}[/tex]:-
[tex]d= M/V\\8 g cm^{-3} = 200 g/V\\\\V=200g/8g cm^{-3} \\V= 25 cm^{-3}[/tex]
The volume of the object is [tex]25 cm^{-3}[/tex].
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Does Bhutan have any artificial satellites? If any, write a brief report on it.
The first nanosatellite from Bhutan to be launched into space was named BHUTAN-1. The satellite was created as part of the Birds-2 program at the Kyushu Institute of Technology. The Birds program aids nations in launching their initial satellite. On June 29, 2018, BHUTAN-1 was put into orbit by the SpaceX CRS-15 mission. On August 10, 2018, it was released from the International Space Station's (ISS) Kib module. The Earth was captured by the satellite's cameras.
Has Bhutan ever had satellite?The BHUTAN-1 (Bhutan), UiTMSAT-1 (Malaysia), and Maya-1 satellites were created as part of the Birds-2 program (Philippines). Graduate students from Bhutan who were attending Kyutech to complete their master's degrees created BHUTAN-1 (Kyushu Institute of Technology).
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if a rock is dropped from a height of 178 178 ft, its poistion t t seconds after it is dropped until it hits the ground is given by the function s(t)=-16t^2 + 178. Round values below to 3 decimal places. a. How long does it take the rock to the hit the ground? b. find the avarage velocity of the rock from when it is released until when it hits the gorund. c, what time after rock is thrown will its instantaneous velocity be equal to its avarage velocity?
If a rock is dropped from a height of 178 ft, its position is given by the function s(t) = -16t² + 178.
a. It takes 3.34 s to reach for the rock to hit the ground.
b. The average velocity of the rock from when it is released until it hits the ground is 53.3 ft/s.
c. At 1.66 s, its instantaneous velocity will be equal to average velocity.
a. The given function is s(t) = -16t² + 178
To find t, we have to equate the distance to zero.
0 = -16t² + 178
16t² = 178
t² = 11.125
t = 3.34 s
b. The rock is said to be dropped from a height of 178 ft. Its average velocity is calculated by dividing the displacement of the rock upon total time taken to reach the ground.
v = 178/ 3.34 = 53.3 ft/s
c. The instantaneous velocity is calculated by differentiating s(t) with respect to t. And then equate it with the average velocity of the rock.
-32 t = 53.3
t = 1.66 s
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how does aggregate size influence the coefficient of permeability of concrete? list other factors that determine the permeability of concrete in a structure.
The use of high-quality aggregates reduces permeability. Concrete has a higher degree of permeability if more porous aggregates are employed. The permeability of concrete is also increased by using larger aggregate.
As a result, mixes with larger nominal maximum aggregate sizes have a greater potential for high permeability than mixes with smaller nominal maximum aggregate sizes at the same air void level. Values of critical densities for various nominal maximum aggregate sizes.
The Permeability's Function-
The rate of moisture penetration is governed by permeability. Lower durability is associated with higher permeability. Additionally, a high permeability will result in a reduction in watertightness.The use of high-quality aggregates reduces permeability.To know more about permeability
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a uniform-density wheel of mass 11 kg and radius 0.41 m rotates on a low-friction axle. starting from rest, a string wrapped around the edge exerts a constant force of 15 n for 0.84 s. (a) What is the final angular speed?(a) ωf = radians/s(b) What was the average angular speed?ωaverage = radians/s(c) Through how big an angle did the wheel turn?θ = radians(d) How much string came off the wheel?d = m
The final angular speed of wheel is 5.586 rad/s, average angular speed is 3.325 rad/s with an angle of 2.793 degrees with 1.15 m of the string coming off.
(a) Mass of wheel = m = 11 Kg
Radius of wheel = 0.41 m
Constant force = f = 15 N
Time period = t = 0.84 s
Moment of Inertia = I =
= I = (1/2) mr²
= I =(1/2) X 11 X 0.41²
= I = 0.925 kg-m²
Now, torque due to force = T =
= T = F X r
= T = 15 X 0.41
= T = 6.15 Nm
We know that,
= T = I X α
= α = 6.65 rad/s²
Finally angular speed = ω =
= ω = ω₁ + αt
= ω = 0 + (6.65 X 0.84)
= ω = 5.586 rad/s
(b) Distance covered = d =
= d =ω₁t + (1/2)αt
= d = (1/2)αt
= d = 0.5 X 6.65 X 0.84
= d = 2.793 m
Thus,
Average angular speed = ω₂ =
= ω₂ = d/t
= ω₂ = 2.793 / 0.84
= ω₂ = 3.325 rad/s
(c) Distance covered = angle = d =
= d =ω₁t + (1/2)αt
= d = (1/2)αt
= d = 0.5 X 6.65 X 0.84
= d = 2.793 degrees
(d) The amount of string at came off the wheel = s =
= s = d X r
= s = 2.793 X 0.41
= s = 1.15 m
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Why is there no liquid metallic hydrogen zone in the interiors of uranus or neptune?.
The pressure is too low for hydrogen to be metallic.
Why don't Uranus and Neptune have layers of metallic liquid hydrogen like Jupiter and Saturn?Because of their lower sizes, both lack the thick metallic hydrogen mantles present on Jupiter and Saturn (pressure never gets high enough inside). Uranus and Neptune are often referred to as Ice Giants to distinguish them from the Gas Giants, Jupiter and Saturn, because they are primarily ices with no deep hydrogen mantles. Because of their lower sizes, both lack the thick metallic hydrogen mantles present on Jupiter and Saturn (pressure never gets high enough inside). Uranus and Neptune are often referred to as Ice Giants to distinguish them from the Gas Giants, Jupiter and Saturn, because they are primarily ices with no deep hydrogen mantles.
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what is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2 ?
In order to keep the temperature in the kitchen constant, 196 W of electric power must be supplied to the heating element, which is treated as a flat slab with an area of 1.40 m2.
How to calculate electric-power input to the heating element is required to maintain this temperature?Given to us,
Area of the flat slab, A = 1.40 m²,
The thickness of the fiberglass, d = 4 cm = 0.04 m,
Inside surface of the fiberglass [tex]T_{h}[/tex], = 175°C = 175°C + 273.15 = 448.15 K,
Outside surface of the fiberglass[tex]T_{i}[/tex], = 35°C = 35°C + 273.15 = 308.15 K,
Thermal conductivity of fiberglass, K = 0.040 W/(mK),
a.)
Conduction is the process by which heat energy is been transferred due to the collisions between atoms and molecules in solids. The heat transfer in conduction is written as,
Q/t = KA([tex]T_{h}[/tex] - [tex]T_{i}[/tex])/ d
Q/t = 0.040 × 1.40(448 .15 - 308 .15)/0.04
Q/t = 196 W
Therefore, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W.
b.)
As the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W, because as the fiberglass is constantly losing heat, therefore to maintain the temperature we need to continuously provide that amount of heat to the kitchen for which the same amount of work will be required.
Thus, the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W.
Hence, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W and the electric power input to the heating element required to maintain the temperature in the kitchen is also 196 W.
The complete question is : An electric kitchen range has a total wall area of 1.40 m2 and is insulated with a layer of fiberglass 4.0 cm thick. The inside surface of the fiberglass has a temperature of 175 ∘C and its outside surface is at 35 ∘C. The fiberglass has a thermal conductivity of 0.040 W/(m⋅K).What is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2?What electric-power input to the heating element is required to maintain this temperature?
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in which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?
In clockwise, the current flow as viewed by someone on the south pole of the magnet.
Understanding Clockwise
Two-dimensional rotation can occur in two possible directions. Movement clockwise (abbreviated CW) takes place in the same direction as clockwise: from top to right, then down, then left, and back up.
Before clocks became common, the terms " sunwise" and "deasil", "deiseil" and even "deocil" from Scottish Gaelic and from the same root as the Latin "dexter" ("right") were used for clockwise. " Widdershins " or "withershins" (from Middle Low German "weddersinnes", "opposite") is used for counterclockwise.
The terms clockwise and counterclockwise can only be applied to rotational motion once the side of the plane of rotation is determined, from which the rotation is observed. For example, the daily rotation of the Earth clockwise when viewed from above the South Pole , and counterclockwise when viewed from above the North Pole (remembering "above a point" is defined as "farther from the center of the Earth and in the same ray").
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A perfectly spherical balloon of air is tethered to the floor of a stagnant body of water by cable AB, and sits just below the surface. The density of water is 1000kg/m3 and the density of air is 1.225kg/m3,
Given the following:
r=0.89r=0.89 m
AB=13.35AB=13.35 m
The tension of cable AB is 6451.83 Newton. To find the tension of cable AB, we will use newton’s second law: F=ma, and density ρ=m/v
Given variables:
Density of water (ρw) = 1000kg/m³
Density of air (ρa) = 1.225kg/m³
r = 0.89 m
AB = 13.35 m
Gravity of earth's acceleration (g) = 9.8 m/s²
The total tension of the AB cable (Ft) would be determined by the tension exerted upwards (Fu) by the water and the tension exerted downwards by the weight (Fw). Therefore, the equation will be:
Ft = Fu - Fw
Ft = mw·g - ma·g
where mw is mass of water and ma is mass of air.
Meanwhile, mass can be expressed in the equation:
m = ρ(4/3πr³)
As a result
Ft = ρw(4/3πr³)·g - ρa(4/3πr³)·g
Ft = 1000(4/3π·0.89³)·9.8 - 1.225(4/3π·0.89³)·9.8
Ft = 6451.83 N
Therefore the tension in cable AB is 6451.83 Newton.
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What is the best evidence for the existence of dark matter?.
The particles that we think exist in the cosmos but that we cannot directly observe have been given the label "dark matter" by physicists.
Because it was impossible for scientists to detect it by looking at the universe in any region of the electromagnetic spectrum, dark matter was initially referred to as "missing matter." This substance does not appear to absorb or emit any electromagnetic radiation, yet it does appear to have mass (and hence produce gravity).
Scientists are aware that dark matter, which accounts for about 80% of galaxies' total mass, does not emit light. This indicates that there is four times as much dark matter as normal matter.They found that the stars farther away from the center were moving much faster than predicted. The only way this is possible is if there is more mass in the outer parts of galaxies than we can observe. The fact that we are unable to see this mass, because it is not emitting light, suggests the presence of dark matter.
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What is high electronegativity?.
An atom's ability to draw the shared electrons of a covalent bond to itself is measured by its electronegativity. The shared electrons will be evenly distributed if the atoms that are bonded together have the same electronegativity. The electrons in a bond will not be distributed equally if one of the atoms is more electronegative and thus attracts more of the bond's electrons. The more electronegative atom will "take" the electrons if the difference in electronegativity is great enough, creating two ions and an ionic bond. Otherwise, the electrons will not be shared at all.
Think about a tug-of-war match. The rope stays in the middle if the two teams are of equal strength. The rope is pulled in the direction of the team with the advantage in strength. When one team is significantly stronger than the other, the weaker team is no longer able to hold onto the rope, and the entire rope ultimately ends up on the side of the stronger team. Chemical bonds can be compared to this. The electrons are shared equally if the electronegativity of the two bonding atoms is equal. The electrons of the bond are more drawn to an atom if it has a higher electronegative potential. The electrons won't be shared, leading to an ionic bond, if one atom is significantly more electronegative than the other atom.The scale of Pauling electronegativity is depicted in the periodic table below. Fluorine, the element with the highest electronegative charge, has a value of 4.0. As we can see, electronegativities typically increase from left to right across a period and decrease down a group.To understand about electronegativity-
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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 160cm , but its circumference is decreasing at a constant rate of 15.0cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.800T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
Part A
Find the magnitude of the emf E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease.
Express your answer numerically in volts to three significant figures.
The magnitude of the EMF E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease is 4.72 mV
Circumference = 2 π r
Initially at t = 0,
Circumference = 160 cm
2 π r = 160
r = 160 / 2 * 3.14
r = 25.48 cm
d ( 2 π r ) dt = - 15 cm / s
2 π dr / dt = - 15
dr / dt = - 15 / 2 * 3.14
dr / dt = - 2.39 cm / s
Integrating both sides,
r = - 2.39 t + C
At time t = 0, r = 25.48 cm
25.48 = 0 + C
C = 25.48
At any time t,
r = - 2.39 t + 25.48
A = π r²
dA / dt = 2 π r dr / dt
dA / dt = 2 π ( - 2.39 t + 25.48 ) ( - 2.39 )
At t = 9 s,
dA / dt = 2 * 3.14 ( - 2.39 * 9 + 25.48 ) ( - 2.39 )
dA / dt = 6.28 ( 3.97 ) ( - 2.39 )
dA / dt = - 59.59 cm² / s
dA / dt = - 0.0059 m² / s
ε = - dΦ / dt
Φ = BA
ε = - dBA / dt
ε = - B dA / dt - A dB / dt
Since the magnetic field is constant through time,
ε = - B dA / dt
ε = - 0.8 ( - 0.0059 )
ε = 0.00472 V
ε = 4.72 mV
Therefore, the magnitude of the EMF induced in the loop is 4.72 mV
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The total energy of a particle is the sum of its kinetic energy and its potential energy. The zero of the potential energy can be chosen arbitrarily, so the potential energy can be negative. Classically forbidden regions are where...
a. a particle’s total energy is greater than its kinetic energy
b. a particle’s total energy is greater than its potential energy
c. a particle’s total energy is less than its kinetic energy.
d. a particle’s total energy is equal its potential energy
e. a particle’s total energy is less than its potential energy
The correct option is E.
The total energy of a particle is the sum of its kinetic energy and its potential energy. If the particle ahs negative potential energy then a particle’s total energy is less than its potential energy.
In Physics, the total energy of a particle is the sum of kinetic energy and potential energy.
The kinetic energy is equal to the product of half of mass m and velocity v. In mathematical form it can be written as K.E = 1/2mv^2
While the potential energy is associated with the height of the particle.
Simply put, total energy of the particle can be written as P.E + K.E = mgh + 1/2mv^2
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We talked about the robustness of Logistic Regression with respect to the distribution assumptions of features given the class labels. In this problem, we will consider two distributions from the exponential family and verify that they lead to a logistic posterior distribution:h θ (x)=P(y=1∣x;θ)=g(θ T x)= 1+e −θ T x 1 .- Let,x∣y=1∼Poisson(λ 1 )and x∣y=0∼Poisson(λ 0). Show thatp(y=1∣x)is logistic. - Let,x∣y=1∼N(μ 1 ,σ 1 )andx∣y=0∼N(μ 0,σ 0). Show thatp(y=1∣x)is logistic. For both the above cases, you can assume that the two classes are equally likely to occur, i.e.,p(y=1)=p(y=0)andx is a real number (i.e., you have a one-dimensional feature).
For the first case, where x∣y=1∼Poisson(λ 1 ) and x∣y=0∼Poisson(λ 0 ), the likelihood of x given y=1 is:
p(x∣y=1) = (λ 1^x) * (e^-λ 1) / x!
And the likelihood of x given y=0 is:
p(x∣y=0) = (λ 0^x) * (e^-λ 0) / x!
Since the two classes are equally likely to occur, we can write the posterior probability of y=1 given x as:
p(y=1∣x) = p(x∣y=1) / (p(x∣y=1) + p(x∣y=0))
Substituting the expressions for the likelihoods of x given y=1 and y=0, we get:
p(y=1∣x) = ((λ 1^x) * (e^-λ 1) / x!) / (((λ 1^x) * (e^-λ 1) / x!) + ((λ 0^x) * (e^-λ 0) / x!))
Simplifying this expression, we get:
p(y=1∣x) = (λ 1^x) * (e^-λ 1) / (((λ 1^x) * (e^-λ 1) + (λ 0^x) * (e^-λ 0))
This expression can be written in the form of the logistic function:
p(y=1∣x) = 1 / (1 + ((λ 0^x) * (e^-λ 0) / ((λ 1^x) * (e^-λ 1))
Thus, the posterior probability of y=1 given x is logistic.
For the second case, where x∣y=1∼N(μ 1 ,σ 1 ) and x∣y=0∼N(μ 0,σ 0 ), the likelihood of x given y=1 is:
p(x∣y=1) = (1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)
And the likelihood of x given y=0 is:
p(x∣y=0) = (1 / (sqrt(2π) * σ 0)) * e^-((x-μ 0)^2 / 2σ 0^2)
Since the two classes are equally likely to occur, we can write the posterior probability of y=1 given x as:
p(y=1∣x) = p(x∣y=1) / (p(x∣y=1) + p(x∣y=0))
Substituting the expressions for the likelihoods of x given y=1 and y=0, we get:
p(y=1∣x) = ((1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)) / (((1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)) + ((1 / (sqrt(2π)
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