√2 times is the compression of the spring if the mass of the block is halved and its speed is doubled.
What is mass?
Mass is a unit used in physics to describe inertia, a fundamental property of all matter. It essentially refers to the resistance a mass of matter provides to a change in its speed or location brought on by the application of a force. The amount of the body's mass determines how much of a change an applied force produces.
What is speed ?
A shift in an object's location, either in direction or speed. How fast something is travelling is determined by how far it has travelled in relation to how long it took. Speed is considered a scalar quantity because it only has a direction and no magnitude.
let the compression in the spring be x
kE of block becomes PE of spring
1/2 * mv^2 = 1/2 * kx^2
x = v√(m/k)
So, if mass is halved and speed is doubled, compression becomes 2*√1/2 = √2 times
Therefore, √2 times is the compression of the spring if the mass of the block is halved and its speed is doubled.
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in solving an exponential equation, which of the following is not a sound technique to use?
A. If the exponential equation has the form abc, first divide both sides by the constant a
B. If the exponential equation has the form ab* -c, first take the log of both sides and then bring down
C. If the exponential equation cannot be written in the form b-b", "take the log of both sides" and then
D. Finst by writing the exponential equation in the form b-b" and then solving u-v
In solving an exponential equation, If the exponential equation has the form ab^x=c, first "take the log of both sides" and then "bring down any exponents".
Consider the case where you have given a log of x plus 3 and it equals 10. There is no base because this is the common log. It is a log base 10 if there is no base. In this case, log base 10 of x + 3 equals 2. A log is a time expression. In this case if we take log on both sides we will get constant logC on the RHS and Xlogab on the LHS. we can put log(ab)= loga + logb. X will stay as a product. In this case, we can not cut logs from both sides. So the equation will be harder to solve. this is why taking log on both sides is not a sound technique, especially when exponents are involved.
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What image is produced by placing an object 4 cm away from a convex lens of focal length 8 cm? draw the ray diagram and discuss the obtain result
The image is formed 8cm in front of the lens and is a real image.
What is the nature of the image?We would have to remind ourselves that if we are looking at the lens then we have to be looking at any reflecting surface that we know. There are two kinds of lens that we have, we have the concave and the convex lens.
We know that the focal length of the convex lens is positive thus we have;
1/f = 1/u + 1/v
f = focal length
u = object distance
v = image distance
Thus;
1/8 = 1/4 - 1/v
1/v = 1/4 - 1/8
v = (0.25 - 0.125)^-1
v = 8 cm
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Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among
a. middle-aged women.
b. middle-aged men.
c. people 20 and over
d. people 19 and under.
The answer is (d) i.e. People 19 and under.
Rates of bipolar disorder have risen dramatically in the twenty-first century, especially among people 19 and under.
The twenty-first century has seen a dramatic rise in the prevalence of the bipolar disorder among people aged 19 and under. This increase is likely due to a combination of factors, such as improved awareness and diagnosis of the disorder and changes in lifestyle and environment. For instance, increased stress and pressure due to digital technology, social media, and academic demands are thought to be contributing to the rise in bipolar disorder.
Additionally, changes in diet and sleep habits due to the convenience of digital technology may also be contributing to the increased prevalence of the disorder. Ultimately, the rise in bipolar disorder is concerning, and further research is needed to understand and address the factors driving this increase.
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All of the following images can be formed by a converging lens except which one?
Select one:
a. image at infinity
b. virtual, inverted, and same size
c. real, inverted, and reduced
d. real, inverted, and same size
When an object is positioned in front of the focal point of a converging lens, a virtual image is created. The image is magnified and upright in this posture, making it simpler to view.
The image is actual and inverted as long as the object is outside of the focal point. The image becomes virtual and upright when the object is inside the focal point. When the item is positioned inside the focal length, converging lenses can also create virtual images. Since it will be farther away from the lens than the object in that scenario, the virtual picture will be upright and expanded.
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m
A0.15 kg ball is thrown with a speed of v= 5.0 at a resting stick that can rotate around
one end at axis O. The ball hits the stick at r=0.50 m from O as shown below.
VS
r
O
What is the angular momentum of the ball about axis O before hitting the stick?
Answer using a coordinate system where counterclockwise is positive.
Round answer to two significant digits.
kg-m²
If the ball of mass is 0.15 kg is thrown with a speed of 5 m/s then the angular momentum of the ball about axis O is 0.38 Kg-m² /s .
What do you mean angular momentum?Any rotating object's characteristic defined by moment of inertia times angular velocity. It is a property of rotating bodies determined either by sum of their inertia moment and angular velocity.
mass of ball (m) = 0.15 Kg
velocity of the ball (v) = 5 m/s
Radius (r) = 0.50 m
from the angular momentum formula (L) =
⇒ L = m×v×r
⇒ L = 0.15×5.0×0.50
⇒ L = 0.38 Kg-m²/s
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is resolution greater with blue light or red light, all other factors being equal?
Blue light has a shorter wavelength than red light, so it would be expected to have a greater resolution. However, resolution is not solely determined by the color of light used.
Blue light has a shorter wavelength than red light, which allows it to be focused to a smaller spot and produce a higher resolution image. When it comes to resolution, blue light has an advantage over red light due to its shorter wavelength. This is because, shorter wavelength light can be focused to a smaller spot, which results in a higher resolution image, as the image details are captured in a smaller space.
There are other factors that also play a role in the resolution of an image, such as the size and quality of the lens, as well as the sensitivity of the camera or sensor used. A good quality lens with high resolution capabilities, regardless of the color of light it is using, can produce a high resolution image. Similarly, a high sensitivity camera or sensor will also lead to a higher resolution image. In summary, while blue light has an inherent advantage over red light when it comes to resolution, other factors such as the lens and camera or sensor used also play a crucial role in determining the resolution of an image.
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Use the equation below to calculate the kinetic energy of a 40 kg skater taveling at a speed of 10 m/s.
KE = 0.5 • m • v²
Answer:
2000 Joules.
Explanation:
To calculate the kinetic energy of a 40 kg skater traveling at a speed of 10 m/s, we can use the equation:
KE = 0.5 • m • v²
Where:
KE = kinetic energy
m = mass (in kg)
v = velocity (in m/s)
Substituting the given values into the equation:
KE = 0.5 • 40 kg • (10 m/s)²
KE = 0.5 x 40 kg x 100 m²/s²
KE = 2000 Joules
So, the kinetic energy of a 40 kg skater traveling at a speed of 10 m/s is 2000 Joules.
What do you measure a football field with?
A football field is typically measured in yards. The standard measurements for a football field are 100 yards long and 53.3 yards wide. These measurements include the end zones which are typically 10 yards deep. The field is also divided into two equal halves, each measuring 50 yards. The lines on the field are also measured in yards and are used to mark the distance for a first down, the goal line, and the sidelines. The measurements are precise and are required to be the same for all official NFL games.
Use Appendix F In The Textbook To Calculate The Binding Energy Of 2/1 H (Deuterium). Express Your Answer Using Four Significant Figures.
2344 J is the Binding Energy Of 2/1 H .
What is Energy ?
Energy, in physics the ability to do work. It can exist in electrical, kinetic, thermal, electrical, chemical, nuclear, or various other forms. There is also heat and work. H. After transmission, energy is always referred to according to its nature. Thus, the heat transferred can become thermal energy, while the work done can appear as mechanical energy. All forms of energy are associated with movement. For example, any object has kinetic energy when it is in motion. A taut device such as a bow or spring can create motion even when stationary. Because of its composition, it contains potential energy. Similarly, nuclear energy is potential energy as it results from the composition of subatomic particles within the nucleus .
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The moral quality of the will that voted the nation dry had its origin in a moral and social source. It
was an honest desire to protect human life. This wish made concrete and appealing through the lives
of women and children…As the race has evolved, womanhood and childhood have come to occupy
more commanding positions. Today in the United States the moral sense of the people puts them
first. What is good for them should become a law. So the voters were led to believe and so they
acted. Men and women merely said, The liquor business is a menace to our women and children.
Let us get rid of it...".…Salvation Army leaders, social workers, district nurses, Prohibition officers,
child welfare organizations, and others who are in close observance of social conditions have
repeatedly declared that no other law has worked so great a revolution in social welfare as has
Prohibition... Nearly one hundred million dollars of funds once spent to cure the harm done by the
saloon is now expended in fresh air work, free dental clinics, prematurity care, district nursing.
hospitalization, and other forms of work.…
Summarize the main idea
A moral and social wellspring was the source of the moral quality of the vote that dried up the country.Protecting human life was a sincere desire.The lives of women and children gave this wish a tangible and compelling form.
What lessons can be learned from Prohibition?A moral and social wellspring was the source of the moral quality of the vote that dried up the country.Protecting human life was a sincere desire.The lives of women and children gave this wish a tangible and compelling form.Six Things About Prohibition We Can Learn.Prohibition Depends on Interest Groups.People who would not otherwise commit crimes are made criminals by prohibition.As a result of prohibition, criminals have access to markets.Prohibition diverts resources from law enforcement and raises the risks of already dangerous activities.For the purpose of preventing the "scourge of intoxication," Prohibition was put into place.However, it had unforeseen effects, such as an increase in organized crime linked to the illicit manufacturing and sale of alcohol, a rise in smuggling, and a decrease in tax revenue.To learn more about Prohibition refer
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. A 90kg gymnast comes to a stop after
tumbling. Her feet do 4000J of work to stop
her.
Which of the following was the girl's velocity
when she began to stop?
The solution, based on the stated statement, was 10 m/sec when she started to halt.
What is work energy theorem ?According to the work-energy theorem, the net work performed by forces acting on an item equals the change in kinetic energy.
Mobility (kinetic energy) and storing mechanical energy are the two forms (potential energy).
The change there in particle's thermal energy is equal to the net work performed on the particle: W = K B - K A
The relationship between kinetic energy and an object's mass and squares of its velocity is direct: K.E. = 1/2mv². The kinetic energy is measured in kilograms-meters squared each for a second squared if the mass is measured in kg and the velocity is measured in meters per second.
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Write a balanced equation for the decomposition reaction that occurred in Experiment 2. Include physical states. copper(ii) carbonate hydroxide
The molar mass of copper (II) carbonate and copper (II) hydroxide is 221.13 g/mol. The equation for the balanced reaction is CuCO3.Cu(OH)2 2CuO + CO2 + H2O.
Is the compound iron II carbonate hydroxide solid?It is also an electrical solid compound made of carbonate anions CO2 and copper (II) cations Cu2+. Most frequently, a basic copper carbonate, such as Cu2(OH)2CO3, is referred to as cupric carbonate or copper carbonate.
Copper carbonate can either be a solid, liquid, or gas?Malachite, a green crystalline solid, is what it looks like in nature. It has been used as a pigment since antiquity and is currently employed as one in artist paints. This substance is also known as verditer, emerald bice, and mountain green.
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Philosophy 203 Do you think it is important to rank moral rules in order of importance? How will you rank your own ethical rules or those of any other system in which you are aware? order
It can be important to rank moral rules in order of importance because it allows for clear decision-making and prioritization in situations where multiple moral considerations are present. However, ranking moral rules can also be difficult and subjective, as different individuals and cultures may place different values and priorities on different moral principles.
The principle of non-harm, which holds that it is morally wrong to cause harm to others.
The principle of autonomy, which holds that individuals should be free to make their own choices and pursue their own goals.
The principle of fairness and justice, which holds that individuals should be treated equally and that resources and opportunities should be distributed fairly.
The principle of compassion and empathy, which holds that individuals should care for and show concern for the well-being of others.
The principle of responsibility and accountability, which holds that individuals should be held responsible for the consequences of their actions.
It's important to keep in mind that everyone have different moral principles and they might have different order of importance.
It's important to note that this ranking is not definitive, and different individuals and cultures may have different priorities and values when it comes to moral principles.
A proton follows the path shown in (Figure 1) . Its initial speed is v0 = 2.8×106 m/s.
4.0 mm Vo -10 nC 3.0 mm
What is the proton's speed as it passes through point P?
Express your answer to two significant figures and include the appropriate units.
A proton travels down the path depicted in Figure 1 at a speed of 2.67 x 106 m/s as it passes through point P. v0 = 2.8 106 m/s is the initial speed. 3.0 mm, -10 nC, 4.0 mm Vo.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time.
v₂^2= 2/(1.67 x 10^-27) [9 x 10^9 x 10 x 10] x [1.67 x 10^27] x [2.2 x 10^6]
= [9 x 10^9 x 10 x 10^9 x 1.6 x 10^19 (1/0.003 - 1/0.005)]
= 2.67 x 10^6 m/s,
v2 = 1.44 x 1023, and v22 = 7.14 x 10^12
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What is the mass of an object on Mercury that weighs 784 N on the earth's surface?
120kg
60kg
80kg
Important Formulas:
[tex]F=ma[/tex]
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
[tex]F=784N[/tex]
[tex]a=9.8m/s^2[/tex] (acceleration due to gravity)
[tex]m=?[/tex]
__________________________________________________________
Rearranging force formula to make mass the subject:
[tex]F=ma[/tex]
[tex]\dfrac{F}{a} =\dfrac{ma}{a}[/tex]
[tex]m=\dfrac{F}{a}[/tex]
__________________________________________________________
Finding mass:
[tex]m=\dfrac{F}{a}[/tex]
[tex]m=\dfrac{784}{9.8}[/tex]
__________________________________________________________
[tex]\fbox{m = 80kg}[/tex]
Find the change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moves from A⇒B given that the change in EP (ΔU) between the points is 24V
The change in EPE (ΔU) as a charge of (a) 2.2 x 10⁻⁶ c and (b) -1.1 x 10⁻⁶c moving from A⇒B given that the change in EP (ΔU) between the points is 24V are 5.28 x 10⁻⁵ J and 2.64 x 10⁻⁵ J respectively.
How can we calculate the change in electric energy using the given equations?The change in electric potential energy (ΔU) can be calculated using the equation ΔU = qΔV, where q is the charge and ΔV is the change in electric potential between the two points.
For a charge of 2.2 x 10⁻⁶ c moving from A to B:
ΔU = (2.2 x 10⁻⁶ c)(24 V) = 5.28 x 10⁻⁵ J
For a charge of -1.1 x 10⁻⁶ c moving from A to B:
ΔU = (-1.1 x 10⁻⁶ c)(24 V) = -2.64 x 10⁻⁵ J
The negative sign on the second case indicates that the work done would be done against the direction of the electric field and thus the energy would be absorbed from the field.
Therefore, the correct answers are as given above.
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The Eiffel Tower in Paris is 984 ft tall and is made mostly of steel.
Part A
If this is its height in winter when its temperature is -8.00 ∘C , how much additional vertical distance must you cover if you decide to climb it during a summer heat wave when its temperature is 42.0 ∘C ?
Express your answer in feet to two significant figures
Part B
Express the coefficient of linear expansion of steel in terms of Fahrenheit degrees.
Express your answer to two significant figures.
The coefficient of linear expansion of steel is 57.4ft/F of an Eiffel Tower in Paris which is 984 ft tall and is made mostly of steel.
Given the height of Eiffel Tower (L1) = 984ft
Let the additional height be L2.
Temperature in winter (T1) = -8∘C = 17.6F
Temperature in summer (T2) = 42∘C = 107.6F
Let the coefficient of linear expansion of steel = αL
We know that ΔL = αLΔT , L represents the change in length, T represents the change in temperature, and αL is the linear expansion in the formula for linear thermal expansion.
So, as L α T such that L1/L2 = T1/T2
984/L2 = 17.6/107.6
L2 = 984/0.16 = 6150ft
αL = ΔL/ΔT = (L2-L1)/(T2-T1) = 6150-984/107.6-17.6 = 57.4ft/F
Hence the coefficient of linear expansion of steel is 57.4ft/F
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(a) Is the velocity of car A greater than, less than, or the same as the
velocity of car B?
(b) Is the initial position of car A greater than, less than, or equal to the
initial position of car B?
(c) In the time period from t = 0 tot = 1 s, is car A ahead of car B,
behind car B, or at the same position as car B?
Answer: the velocity of car A greater than Car b
Explanation: what is velocity?
Velocity is the parameter which is different from speed, can be defined as the rate at which the position of the object is changed with respect to time, it is basically speeding the object in a specific direction in a specific rate.
Velocity is a vector quantity which shows both magnitude and direction and The SI unit of velocity is meter per second (ms-1). If there is a change in magnitude or the direction of velocity of a body, then it is said to be accelerating.
represented by the equation v = Δs/Δt.
A 7.30 kg sign hangs from two wires. The first wire is attached to the left end, and pulls 28.0 N directly left. What is the y-component of the force of the second wire?
Answer:
Approximately [tex]71.6\; {\rm N}[/tex] (assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex].)
Explanation:
Refer to the diagram attached. Forces on this object are:
Tension on the left, from the wire on the left end.Tension on the right, from the wire on the other end.Weight, from the planet.Assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex], the magnitude of the weight of the sign would be:
[tex]\begin{aligned}(\text{weight}) &= m\, g \\ &= (7.30\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}) \\ &\approx 71.6\; {\rm N}\end{aligned}[/tex].
Note that weight points downwards (negative) and is entirely in the vertical direction. As a result, the [tex]y[/tex]-component of weight would be equal to [tex](-71.6)\; {\rm N}[/tex].
Hence, the [tex]y[/tex]-component of these forces would be:
[tex]0\; {\rm N}[/tex] for the wire on the left end, since this tension is entirely horizontal (entirely in the [tex]x[/tex]-direction,)[tex](-71.6)\; {\rm N}[/tex] for the weight, which points downwards, andNot yet found for the tension from the other wire.Since forces on the object to be balanced, forces need to be balanced in each component. For forces in the [tex]y[/tex]-component to be balanced, forces in the vertical direction need to add up to [tex]0\; {\rm N}[/tex]:
[tex]0\; {\rm N} + (-71.6)\; {\rm N} + (\text{$y$-component of tension on the right}) = 0\; {\rm N}[/tex].
Hence, the [tex]y[/tex]-component of the tension from the wire on the right end would be [tex]71.6\; {\rm N}[/tex].
The figure(Figure 1) shows the angular acceleration graph of a turntable that starts from rest. What is the turntable's angular velocity at t = 1.5 s? Express your answer to two significant figures and include the appropriate units.
The turntable's angular velocity at t = 1.5 s is 1.5 rad /s from the angular acceleration graph.
What is the relationship between angular velocity and acceleration?When there is non-uniform circular motion, the rate of change in angular velocity (i.e., angular acceleration) is =t. = t. A t = v t denotes linear or tangential acceleration, which describes changes in velocity's magnitude but not its direction.
The turntable's angular velocity at t = 1.5 s
Angular acceleration( α )from the figure at t=1.5 s is 1 rad/s2.
α => ω / t
ω => α x t = 1 rad/s2 x 1.5 s
=> 1.5 rad /s
Are the directions of angular velocity and acceleration the same?The angular acceleration points in the same direction as the angular velocity if the angular velocity is rising and growing. The angular acceleration points in the opposite direction of the angular velocity if the angular velocity is decreasing.
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When you slide a box across the floor what force must your push be stronger than? 1. Normal force 2. Friction force 3. Gravity 4. Air resistance
The force that must be stronger than when sliding a box across the floor is the friction force. Friction is the resistance of motion when two objects rub together.
What is resistance ?
Resistance is the opposition to the flow of electrons or other particles. It is measured in ohms, and is the ratio between voltage and current in an electrical circuit.
Resistance is a fundamental property of materials and is related to the amount of energy needed to push electrons through them. It is also affected by temperature, humidity and other environmental factors. Resistance is an important factor in electrical engineering and is vital for determining the power and efficiency of electrical systems.
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Consider the circuit shown in (Figure 1). Assume E = 15 V
B. What is the charge on 3.0 μF capacitor?
C. What is the charge on 4.0 μF capacitor?
D. What is the charge on 6.0 μF capacitor?
All answers about capacitor is given below.
To answer these questions, we need to use the equation Q = CE, where Q is the charge on the capacitor, C is the capacitance, and E is the voltage across the capacitor.
For the 3.0 μF capacitor, the charge is Q = (3.0 μF)(15 V) = 45 μC.
For the 4.0 μF capacitor, the charge is Q = (4.0 μF)(15 V) = 60 μC.
For the 6.0 μF capacitor, the charge is Q = (6.0 μF)(15 V) = 90 μC.
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is a histogram showing the speeds of the molecules in a very small gas. What are (a) the most probable speed, (b) the average speed, (c) the rms speed?
Answer: b
Explanation: i did this before lol
If a marathon runner runs an average speed of 11 miles/hour for three hours. How far did the runner run in the three hours?
Answer: 33 miles
Explanation: multiply 3x11 which equals 33
Answer: 33 miles
Explanation:
from the following list, select the characteristics of a refrigerator. (select all that apply.) multiple select question. receive heat from a low-temperature reservoir receive heat from a high-temperature reservoir reject heat to a low-temperature reservoir reject heat to a high-temperature reservoir
A refrigerator that accepts heat from a low-temperature reservoir also rejects heat to the same reservoir.
What is a refrigerator?A refrigerator is an open system that moves heat from a closed space to a warmer location, typically the kitchen or another room. By removing the heat from this area, the temperature drops, allowing food and other items to remain cool.The primary purpose of a refrigerator is to keep food cold. Cold temperatures keep food fresher for longer. The basic idea behind refrigeration is to slow down the activity of bacteria (which is present in all food) so that the bacteria take longer to spoil the food.The main principles of the refrigeration process, or cycle, are the absorption of the amount of heat required for the change of state from a liquid to a vapor by evaporation and the release of that amount of heat required for the change of state from a vapor back to the liquid by condensation.To learn more about refrigerator refer to :
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A "burning glass" used to concentrate sunlight in a tiny spot is a. A) converging lens. B) diverging lens. C) either. D) neither.
Option A) converging lens , is the correct answer
What is lens ?
A lens is a transparent material, usually circular, with two polished surfaces, one or both of which are curved, either convex (curved) or concave (deep). Curves are almost always spherical. That is, the radius of curvature is constant. Lenses have the valuable property of producing images of objects in front of us. Singlet lenses are used in eyeglasses, contact lenses, pocket magnifiers, projection condensers, signal lights, viewfinders, and simple box cameras
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What gauge pressure (P) must a pump generate to propel water from ground level
through a hose to a fifth-floor studio apartment that is on fire at an elevation of 15.5
m (H)? The density (D) of freshwater is 1000 kg/m³.
If your well water pressure is higher than what is considered typical (between 40 and 60 psi), you should change the pressure switch.
How much pressure is needed in ground based water pipes to pump?The low water pressure is frequently restricted by codes to 20 psi, unless certain fixtures, like flush valves, call for higher pressures. However, for the comfort of the end users, a minimum pressure of 40 psi is advised.The high-pressure pump, a centrifugal pump with a head range of 200 to 1200 m, is employed, for instance, in pressure boosting systems. Other application areas make use of low-pressure, medium-pressure, or super-pressure pumps.A hollow cylinder and a spiral component—which can be placed inside or outside the cylinder—make up the Archimedes screw. A low-lying fluid source is where one end is placed, and a higher discharge location is where the other end is tilted up into.To learn more about pressure refer to:
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A car is on aslope of 10⁰ above the horizontal. A force of 1000N is applied to the car line of of the slope. the car has amass of 500Kg. what is the accelratoin of the car.
The acceleration of the car due to force applied is 0.298 m/s^2.
What forces are present on a slope?There are two parts to the gravitational force acting on a slope. They are the driving force (fs) that pushes the block down the hill and the friction-producing normal force (fn) that pushes into the slope.ma = F (applied) - mgsinФ
m = mass = 500Kg; a = acceleration; F (applied) = Applied force = 1000N
Ф = angle of slope = 10⁰; g = Acceleration due to gravity = 9.8 m/s^2
500 x a = 1000 - (500 x 9.8 x sin10);
a =[ 1000 - (500 x 9.8 x sin10)] / 500;
= 0.298 m/s^2.
Which two forces contribute most significantly to slope stability?Two elements ultimately affect the stability of the slope. They are the slope's angle and the strength of the materials used to construct it.
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For the situation shown on figure on the right, what is the angle of incidence? Starting with n_1 sin i = n_2 sin r, show that the value of i when r = 90 degrees is given by sin^-1 (n_2/n_1). This value of i is usually designated as i_C, the angle for total internal reflection. For what condition on n_1 and n_2 does this expression make sense? What is meant by the critical angle for total internal reflection? If the light shines from water (n = 1.33), calculate the critical angle for total internal reflection.
1. Condition on n_1 and n_2 for which this expression make senses is -
The incident ray, the refracted ray, and the normal at the point of incidence all reside in the same plane, according to Snell's equation of refraction. For the given pair of media, the sine of the angle of incidence to the sine of the angle of refraction ratio is constant.
2. The critical angle is the angle of incidence at which total internal reflection occurs instead of just refraction when the angle of refraction is 90 degrees. Total internal reflection is an optical phenomena where waves arriving at the interface between two media entirely reflect back into the first medium instead of being refracted into the second.
3. When a light beam travels from the water (n=1.33) to the air (n=1), the critical angle is 48 degrees. This implies that all light rays will be (a) completely absorbed by the water if their angles of incidence in the water are larger than 48 degrees.
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rank the three pucks in order of the magnitude of their acceleration, starting with the smallest.
The ranking of the pucks in order of magnitude of acceleration would be: B>A>C, with puck B having the greatest acceleration, followed by puck A and then puck C.
To rank the three hockey pucks in order of the magnitude of their acceleration, we need to consider the net force acting on each puck and their velocity. Since all three pucks are identical, their mass is the same, and the net force acting on each puck is 3N. Puck A is moving in the opposite direction of the force, thus the net force acting on it is in the opposite direction of its motion, resulting in a deceleration.
Puck B is instantaneously at rest, thus the net force acting on it will cause it to accelerate. Puck C is moving with a velocity of 7m/s at right angles to the force, thus the net force acting on it will cause it to move in a circular path, resulting in centripetal acceleration.
Complete Question :
Each of the three identical hockey pucks shown in the figure is acted on by a 3N force. Puck A moves with a speed of 7 m/s in a direction opposite to the force; puck B is instantaneously at rest; puck C moves with a speed of 7 m/s at right angles to the force.
Rank the three pucks in order of the magnitude of their acceleration, starting with the smallest.
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