You push your physics book 1.50 M alone a horizontal tabletop with a horizontal push of 240 N while the opposing force of friction is 0.600 N. How much work does each of the following forces do on the book (a) your 2.40 N push, (b) the friction force (c) the normal force from the table, and (d) gravity? (e) what is the network done on the book?
Answers
a)Work performed by 2.4 N force: W = 3.6 J
b)work performed by o.6 N frictional force: W = -0.9 J
c) The normal force's work on the book, W = 0 J
d) Gravitational work on the book, W = 0 J
e) Work completed, W = 2.7 J
A force is an influence that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to define force is as a push or a pull. Two surfaces that come into contact and glide against one another produce frictional force. The part of a contact force that is perpendicular to the surface that an item encounters is known as the normal force.Gravity, which means "weight" in Latin, is a basic force that attracts all objects with mass or energy to one another.The explanation is shown in the accompanying picture.
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Related Questions
using your kst value, what would the displacement from equilibrium be if you hung a 0.5 kg mass from the spring? include uncertainty.
kstat: 8.37+/-0.1
Answers
The displacement from equilibrium when hanging a 0.5 kg mass from the spring is -0.585 +/- 0.007 m. The displacement from equilibrium when hanging a 0.5 kg mass from the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from equilibrium.
The equation for Hooke's Law is F = -kx, where F is the force applied, k is the spring constant, and x is the displacement from equilibrium.
To find the displacement, we can rearrange the equation to x = -F/k. In this case, the force applied is the weight of the mass, which can be calculated as F = mg, where m is the mass and g is the acceleration due to gravity (9.81 m/s^2). Therefore, F = 0.5 kg x 9.81 m/s^2 = 4.905 N.
Substituting the values into the equation, we get x = -4.905 N / 8.37 N/m = -0.585 m. However, we must take into account the uncertainty in the spring constant. The uncertainty in the displacement can be calculated using the formula Δx = |x| x (Δk/k), where Δk/k is the relative uncertainty in the spring constant.
In this case, the relative uncertainty is 0.1/8.37 = 0.012, so the uncertainty in the displacement is Δx = 0.585 m x 0.012 = 0.007 m. Therefore, the displacement from equilibrium when hanging a 0.5 kg mass from the spring is -0.585 +/- 0.007 m.
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We have an Atwood device, two blocks connect by a string strung over a pulley, but the twist this time is that both blocks are on perfectly smooth inclines. The upper block is on an incline 15 degrees to the horizontal and has a mass of 7kg. The lower block is on an incline of 65 degrees to the horizontal and has a mass of 11kg. Find the acceleration of the system?
Answers
The Acceleration of the system is 6.41 m/s².
Given,
α= 15°, m₁ = 7kg
β= 65°, m₂ = 11 kg
Let, a be the acceleration and T is the tensions at the end it's the cord.
Let, the mass m₂ be coming down along the inclined plane along the inclined surface towards downward m₂g sin β and the tension in the upward direction,
Resultant force, m₂a=m₂g sin β -T
11a=((11) ×g sin 65°) -T ...(i)
Now, considering the motion of m₁ which moves downwards, the forces are m₁g sinα, and T both are acting downwards.
Resultant force m₁a = m₁g sin α+T
7a =7g sin 15°+T ...(ii)
Solving both the equations by adding them,
18a=11gsin 65°+7g sin 15°-T+T
18a=11gsin 65°+7g sin 15°=115.45
a=115.45/18=6.41 m/s²
Hence, the Acceleration of the system is 6.41 m/s².
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The color green and blue are visual preference for newborns
A. True
B. False
Answers
Which three statements about gravity and the formation of the solar system
are true?
A. Gravity pulled most of the matter into the center of the solar
system.
B. Gravity caused the planets and Sun to have spherical shapes.
O C. Gravity held the pieces of forming planets together.
D. Gravity evenly distributed matter throughout the solar system.
Answers
Answer:
it's answer is B
A planet is round because of gravity. A planet's gravity pulls equally from all sides. Gravity pulls from the centre to the edges like the spokes of a bicycle wheel. This makes the overall shape of a planet a sphere, which is a three -dimensional circle
Hope it helps you
The parent function `f\left(x\right)=\sqrt[3]{x}` is compressed vertically by a factor of `\frac{1}{3}` and then translated 3 units left and 7 units down. What is the transformed function `g\left(x\right)`?
Answers
Answer:
The answer is below
Explanation:
Given that f(x) = x√3.
A function can be vertically stretched or compressed by multiplying it by a positive constant. If the constant is greater than 1, it is vertically stretched and if the constant is less than 1 it is vertically compressed.
If a function f(x) = x is compressed or stretched by a constant a, then the new function g(x) = a f(x)
If a function f(x) = x is translated a units down, then the new function g(x) = f(x) - a
If a function f(x) = x is translated a units left, then the new function g(x) = f(x-a)
If f(x) = x√3 is compressed vertically by a factor of 1/3. The new function is
\(f(x)'=x\sqrt{3} *\frac{1}{3} \\\\f(x)'=\frac{x}{3} \sqrt{3}\)
If it is then translated 3 units left and 7 units down, the transformed function g(x) is:
\(g(x)=(\frac{x-3}{3}\sqrt{3} )-7\)
Question 4 of 10
Samples of different materials, A and B, have the same mass, but the sample
of B is higher in density. Which statement could explain why this is so?
A. The sample of material B has greater volume than the sample of
material A.
B. The particles that make up material A are more closely packed
together than the particles that make up material B.
C. The particles that make up material B are more closely packed
together than the particles that make up material A.
D. The particles that make up material A have more mass than the
particles that make up material B.
SUBMIT
Answers
case (i) : a block slides down a frictionless ramp, hits a second block on a frictionless surface, and sticks to it. case (ii) : a block sitting on a rough surface is compressed against a spring and then released. case (iii): a block is tied to a massless string and swings down from a certain height. case (iv): a cannonball is launched by a cannon on the edge of a cliff, air resistance is negligible.
Answers
The different scenarios involve the application of conservation principles, energy conservation, projectile motion, and analysis of forces to determine the motion and behavior of the objects involved.
Here's a detailed explanation of each case:
Case (i): A block slides down a frictionless ramp, hits a second block on a frictionless surface, and sticks to it.
In this case, conservation of momentum can be applied. Before the collision, the sliding block has momentum due to its velocity. When it collides with the stationary block, the momentum is transferred to the second block, causing it to start moving.
The total momentum of the system before the collision is equal to the total momentum after the collision. Since the blocks stick together, they move as a combined system with a new velocity.
Case (ii): A block sitting on a rough surface is compressed against a spring and then released.
In this case, the potential energy stored in the compressed spring is converted into kinetic energy as the block is released. The block's motion can be analyzed using energy conservation principles. As the block is compressed, work is done on it, storing potential energy in the spring.
When the block is released, the potential energy is converted into kinetic energy as the block accelerates. The block's motion can be described using equations that relate kinetic energy, potential energy, and work done by non-conservative forces (such as friction).
Case (iii): A block is tied to a massless string and swings down from a certain height.
In this case, the block's motion can be analyzed using the principles of conservation of mechanical energy. As the block swings down, potential energy is converted into kinetic energy, and vice versa as it swings back up.
At the highest point of the swing, all the initial potential energy is converted into kinetic energy, and at the lowest point, all the kinetic energy is converted back into potential energy. The speed of the block can be determined using the conservation of mechanical energy equation.
Case (iv): A cannonball is launched by a cannon on the edge of a cliff, air resistance is negligible.
In this case, the projectile motion equations can be used to analyze the motion of the cannonball. The initial velocity, launch angle, and gravitational force are the main factors to consider. Neglecting air resistance simplifies the analysis.
The horizontal motion of the cannonball is uniform, while the vertical motion is affected by gravity. By using the equations of motion, the cannonball's trajectory, maximum height reached, time of flight, and range can be calculated.
These explanations provide a brief overview of the analysis methods used in each case. Depending on the specific details and parameters of the situations, additional concepts and equations may be relevant for a more precise analysis.
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A kicked soccer ball will eventually stop rolling, due to the grass
Answers
Answer: 1st law
Explanation:
If you changed the surface of the incline the car is rolling down, how might that impact the distance and speed the car travels? Explain your answer using Newton's Laws.
Answers
Explanation: As the angle is increased the acceleration of the object is increased as the angle increases the component of the force parallel to the incline increases and the component of forced perpendicular to the inclined decreases it is the parallel component of the weight vector that causes the acceleration.
Four solutes are added to a solvent. All solutes have the same mass and solubility. The surface areas of four solutes are 2 mm2, 4 mm2, 6 mm2, and 10 mm2. Which solute will dissolve the quickest? 2 mm2 4 mm2 6 mm2 10 mm2
Answers
Answer:
The correct answer is D.) 10 mm2
Explanation:
i just did the test on edge 2020 and got it right
If four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².
What is solubility?Solubility refers to the ability of a substance called solute to form solution with another substance called solvent.
Solubility is dependent on the surface area of the solute as solutes with larger surface area tends to dissolve faster in a solvent and vice versa.
Therefore, this means that if four solutes that have the same mass and solubility are added to a solvent, the solute that will dissolve the quickest is 10mm².
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at what temperature does the extension step of pcr occur?
Answers
In the polymerase chain reaction (PCR), the extension step typically occurs at a temperature between 68°C and 72°C. This temperature range is commonly used to allow the DNA polymerase enzyme to synthesize complementary strands of DNA by extending the primers that were annealed in the previous step of the PCR cycle.
During the extension step, the DNA polymerase enzyme adds nucleotides to the 3' end of the primers, synthesizing a new DNA strand complementary to the template DNA. The high temperature is necessary to denature the DNA and separate the double-stranded DNA into single strands, providing the template for the DNA polymerase to work on.
It's important to note that while the temperature range mentioned is commonly used, specific PCR protocols may vary depending on the DNA polymerase used and the target DNA being amplified. Researchers may optimize the PCR conditions, including temperature and time, for their specific experimental needs.
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Se realiza un experimento en el que se mide el alargamiento de un muelle debido a la acción de una pesa; se trata de comprobar la ley de Hooke. Los datos que se han obtenido son: Medición 1 2 3 4 5 Alargamiento 42.0 48.4 51.3 56.3 58.6 Masa 2 4 6 8 10 El coeficiente de determinación es:
Answers
Answer:
m = 1,975 m / kg , b = 38.05 m
Explanation:
In this experiment, the elongation is plotted against the applied mass
getting a straight line
y = m x + b
where b would be the initial length of spring let's calculate the slope for which we use two well separated points
m = (56.3 -48.4) / (8 - 4)
m = 1,975 m / kg
the equation remains
y = 1,975 x + b
for x = 2 kg y = 42.0 m
we substitute in the equation
42 = 1,975 2 + b
b = 42 - 3.95
b = 38.05 m
What type of energy change occurs as a match burns?
Answers
Answer:
elaborate
Explanation:
you need to elaborate im just doing this for points but u need to elaborate
Explian how it is possible with two prisms to produce dispersion without deviation and deviation without dispersion ?
Answers
Write a general formula to describe the variation The square of T varies directly with the cube of a and inversely with the square of d: T= 3 when a = 4 and d = 2
T^2 = (Use integers or fractions for any numbers in the expression.)
Answers
The value of k, we can write the general formula:
T^2 = (9/16) * (a^3 / d^2)
To write a general formula describing the variation, we can use the given information:
The square of T varies directly with the cube of a and inversely with the square of d. We can express this relationship as:
T^2 = k * (a^3 / d^2)
Here, k is the constant of variation. Now, we'll use the given values of T, a, and d to find the value of k:
3^2 = k * (4^3 / 2^2)
9 = k * (64 / 4)
9 = k * 16
k = 9 / 16
Now that we've found the value of k, we can write the general formula:
T^2 = (9/16) * (a^3 / d^2)
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Your friend tells you “I no the moon does not rotate because we always see the same side.” do you agree or disagree with your friend? Write up what you would say to your friend to show why you agree or disagree with them. (THIS IS URGENT I REALLY NEED HELP WITH THIS BECAUSE I DONT KNOW HOW TO EXPLAIN)
Answers
Answer:
no the moon does not rotate it only goes in circle just like the sun so I disagree with your friend
if you added 2500 pounds and 2 tons what would be the total weight?4,500 pounds4 1/2 tons3/4 ton6500poundsi need some help
Answers
ANSWER:
6500 pounds
STEP-BY-STEP EXPLANATION:
To know the answer, we must first know the equivalence between tons and pounds, since it is the only way they can be added.
We know that 1 ton equals 2000 pounds, therefore:
\(\begin{gathered} 2\text{ tons}\cdot\frac{2000\text{ pounds}}{1\text{ ton}}=4000\text{ pounds} \\ \text{then, } \\ 2500\text{ pounds + 4000 pounds }=\text{ 6500 pounds} \end{gathered}\)Please help in these 4 questions
Answers
Answer:
See the answers below.
Explanation:
1
The data of 100W means power, and the other data of 220V means voltage, that is to say that bulb serves to work at a voltage of 220V100W datum means power.
J means work that is given in Joules [J], we must remember that power is defined as the relationship between work at a certain time, therefore we can determine work by means of the following expression.
\(P=W/t\\\)
where:
P = power [Watt]
W = work [J]
t = time [s]
\(W=P*t\\W=100*5[hr]*[\frac{3600s}{1hr} ]\\W=1800000[J] = 1.8[MJ]\)
Now the electric cost.
\(0.1[kW]*5[hr]*55\frac{LL}{1kwhr} =27.5[LL]\)
2
We know that power is defined as the product of voltage by resistance.
\(P=V*I\)
where:
P = power [W]
V = voltage [V]
I = current [amp]
\(I=P/V\\I=1500/220\\I=6.82[amp]\)
3
The voltage can be calculated by means of ohm's law, which tells us that the voltage is equal to the product of resistance by the current.
\(V =I*R\)
where:
V = voltage [V]
I = current = 20 [mA] = 0.02 [A]
R = resistance = 20 [kΩ] = 20000 [Ω]
Now replacing:
\(V = 0.02*20000\\V = 400 [V]\)
4
According to the figure we see that when the current is equal to 10 [mA] the voltage is equal to 1 [V]. With these two values, we can use ohm's law and find the value for the resistance.
\(V = I*R\\R = V/I\\R = 1/0.01\\R =100 [ohm]\)
The mass of an atom is found by adding its protons and
. The electric charge of an atom is found by adding the charges carried by its protons and
.
Answers
The electric charge of an atom is found by adding the charges carried by its protons and electron.
What is the function of electron here?The mass of an atom is primarily determined by the number of protons and neutrons it contains, since these particles contribute most of the atom's mass. Electrons, which are much lighter than protons and neutrons, contribute only a small fraction of the atom's total mass. Therefore, to determine the mass of an atom, you add the number of protons and neutrons it has.
In a neutral atom, the number of protons and electrons is equal, so the overall electric charge is zero. However, if an atom gains or loses electrons, it becomes charged and is called an ion. If an atom loses electrons, it becomes positively charged (since it has more protons than electrons), while if it gains electrons, it becomes negatively charged (since it has more electrons than protons). Therefore, to determine the electric charge of an atom, you add the charges carried by its protons and electrons.
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A person lifts a 4.5 kg cement block a vertical distance of 1.2 m and then Carrie’s the block horizontally 7.3 m. Determine the work done by the person and by the force of gravity.
Answers
Answer:
+52.97 J for the person, -52.97 J for the force of gravity
Explanation:
We have two phases: 1) vertical lift and 2) horizontal carrying.
In general, the work is given by force * distance if force and path are parallel. It is 0 if force and path are perpendicular. More complex form if force and path form an angle or if the force isn't constant.
The person is lifting an object, therefore at minimum we need to win gravity.
The force of gravity is, by definition, mass * gravity.
In this case, it's Fg = m * g = 4.5 kg * 9.81 m/s^2 = 44.14 N
This is the minimum force to lift that object. The problem isn't talking about surpassing this force, therefore we assume the person is lifting the object using exactly 44.14 N.
In the first phase, the force of gravity and the path are parallel, therefore the work is given by: force * distance:
W = Fg * d = 44.14 N * 1.2 m = 52.97 J
In the second phase, the person only needs to carry the block, therefore the force is the same as before, but, the force and the path aren't parallel: they're perpendicular. In this case, the work is 0 J.
Finally, the total work done by the person is: 52.97 J + 0 J = 52.97 J
About the force of gravity, It always has the same direction and intensity of the force of the person, therefore all previous observation and computations are valid exactly as they are, and the work done by the force of gravity is the same of that found just now: 52.97 J
If you also need signs (positive or negative work), about the person, his force and the path are of same sign, therefore his work is positive (+52.97 J). The force of gravity is of opposite sign, therefore its work is -52.97 J
Many new cars have video screens that can display a map and tell the driver where she is and how to get to where she wants to go. How is this possible?
Answers
The video screens in new cars that display maps and provide directions are made possible through GPS technology and advanced navigation systems. GPS global positioning system is a satellite-based navigation system that allows devices to determine their precise location and time information.
In a car, GPS technology is used in conjunction with navigation software to provide real-time mapping and directions. The navigation software uses a combination of GPS global positioning system data and information about roads, traffic, and points of interest to provide drivers with the most efficient route to their destination.
The video screen in the car displays the map and directions in a user-friendly format, allowing the driver to easily follow the route. The navigation system may also include voice instructions to guide the driver, reducing the need for the driver to take their eyes off the road. The use of GPS and advanced navigation systems has revolutionized the way we travel, making it easier and more convenient to navigate to new locations.
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An electrically neutral pith ball gains 4.0 * 10^23 electrons. it's charge is now q = ?
Answers
When an electrically neutral pith ball gains 4.0 * 10^23 electrons, its charge becomes negative, with a magnitude of approximately -1.6 * 10^-5 coulombs.
An electrically neutral object has an equal number of protons and electrons, resulting in a net charge of zero. However, when the pith ball gains electrons, the number of electrons exceeds the number of protons, giving the pith ball a negative charge.
Each electron has a charge of approximately -1.6 * 10^-19 coulombs, and gaining 4.0 * 10^23 electrons means the pith ball's charge will be approximately -6.4 * 10^-3 coulombs. Thus, the charge of the pith ball is q = -6.4 * 10^-3 C.
It's important to note that the charge of an object is quantized, meaning it can only exist in discrete multiples of the elementary charge (-1.6 * 10^-19 C). In this case, the pith ball gained a large number of electrons, resulting in a measurable negative charge.
The magnitude of the charge is determined by the number of excess electrons, while the negative sign indicates the presence of an excess of electrons compared to protons.
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Atividade 1) A presença do campo magnético terrestre proporciona alguns efeitos interessantes. Dentre eles estão as auroras polares. Faça uma pesquisa e explique como esse fenômeno ocorre. Atividade 2 Utilizando a simulação mostrada na figura abaixo, aproxime o ímã da bússola em várias posições ao longo do plano. a) O que representam as pequenas agulhas ao redor do ímã? b) O que acontece com a agulha da bússola quando o ímã é movimentado ao seu redor? c) Marque a seleção "Mostrar medidor de campo". Movimente o medidor de campo O que você observa em relação ao campo magnético⃗ , quando o medidor de campo se aproxima do imã? c) Marque a caixa de seleção "planeta Terra". Como são mostradas as polaridades do ímã? Por que aparece dessa forma?
Answers
What is the new charge of the sodium ion that has lost one electron? (Hint: think cation or anion) Your answer: 0 +1 +2 -1
Answers
Answer:
The new charge is +2
Explanation:
Sodium atom has 11 electrons (2, 8, 1)
sodium ion is cation and it will have 10 electrons after losing 1 electron (Na⁺), the charge is +1 because it needs to lose 1 electron to attain octet structure and become stable.
When this sodium ion loses 1 more electron, the new charge will be Na²⁺.
Thus, the new charge will be +2
Limestone cave can develop when Limestone rock is weathered. The weathering of the rock leaves an empty space that forms the cave. Which of the following best explains how the Limestone weathered?
Answers
Answer:
he shape is like granite, other rocks like this are shaped in the weather.
Explanation:
He shape is like granite, other rocks like this are shaped in the weather.
What is Limestone?The primary source of the substance lime is limestone, a form of carbonate sedimentary rock composed primarily of calcium carbonate (CaCO3).
The minerals calcite and aragonite, which are various crystal forms of CaCO3, make up the majority of its material. As these minerals separate from water that has dissolved calcium, limestone is created.
Both biological and nonbiological activities can contribute to this, while biological processes—like the buildup of corals and shells in the sea—have probably been more significant during the past 540 million years.
Therefore, He shape is like granite, other rocks like this are shaped in the weather.
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Pravat exerts a force of 30 N to lift a bag of groceries 0. 5 m. How much work did Pravat do on the bag? Note : Work = Force x Distance 0 J 15 J 30 J 60 J.
Answers
Answer:
15 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 30 × 0.5 = 15
We have the final answer as
15 JHope this helps you
The amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
WORK DONE:The work done by a body can be calculated by multiplying the force exerted by the distance moved. That is;
Work done = force (F) × distance (m)
According to this question, Pravat exerts a force of 30N to lift a bag of groceries 0.5 m. The work done is calculated as follows:
Work done = 30N × 0.5m
Work done = 15J
Therefore, the amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.
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Determine the absolute pressure exerted on a diver at 20 m below
the free surface of the sea. Assume a barometric pressure of
101.325 kPa and a specific gravity of 1.03 for seawater.
Answers
The Absolute Pressure exerted on the diver at 20 m below the free surface of the sea is approximately equal to = 323.252 kPa.
To determine the absolute pressure exerted on a diver at a certain depth below the free surface of the sea, we need to consider both the atmospheric pressure (barometric pressure) and the pressure due to the column of water above the diver.
The formula to calculate the absolute pressure in a fluid is:
Absolute Pressure = Atmospheric Pressure + Pressure due to depth
Given:
Barometric pressure = 101.325 kPa
Specific gravity of seawater = 1.03
Depth of the diver = 20 m
First, we need to calculate the pressure due to depth using the formula:
Pressure due to depth = Density of fluid * Gravitational acceleration * Depth
The density of seawater can be calculated using the specific gravity:
Density of seawater = Specific gravity * Density of water
The density of water is approximately 1000 kg/m³.
Now, let's plug in the values and calculate the pressure due to depth:
Density of seawater = 1.03 * 1000 kg/m³
Pressure due to depth = Density of seawater * Gravitational acceleration * Depth
Next, we can calculate the absolute pressure by adding the barometric pressure to the pressure due to depth:
Absolute Pressure = Barometric Pressure + Pressure due to depth
Let's perform the calculations:
Density of seawater = 1.03 * 1000 kg/m³
Pressure due to depth = (Density of seawater) * (Gravitational acceleration) * (Depth)
Absolute Pressure = Barometric Pressure + Pressure due to depth
Substituting the given values:
Density of seawater = 1.03 * 1000 kg/m³
Pressure due to depth = (1.03 * 1000 kg/m³) * (9.8 m/s²) * (20 m)
Absolute Pressure = 101.325 kPa + Pressure due to depth
Calculate the Pressure due to depth:
Pressure due to depth = (1.03 * 1000 kg/m³) * (9.8 m/s²) * (20 m)
Absolute Pressure = 101.325 kPa + Pressure due to depth
Now, let's calculate the values:
Pressure due to depth = (1.03 * 1000 kg/m³) * (9.8 m/s²) * (20 m)
Absolute Pressure = 101.325 kPa + Pressure due to depth
After performing the calculations, the Absolute Pressure exerted on the diver at 20 m below the free surface of the sea is approximately equal to:
Absolute Pressure ≈ 323.252 kPa
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9. Suppose you want to calculate how much
work it takes to lift a 160 N barbell. Besides
the mass of the barbell, what other
information do you need to know?
a.the shape of the weights
b.how high the barbell is being lifted
c. the strength of the person doing the lifting
d.the volume of the barbell
Answers
Answer:
The correct option is;
b. How high the barbell is being lifted
Explanation:
The work done in lifting the 160 N barbell is equal to the potential energy gained by the barbell in the final elevated position of the barbell
Therefore, in order to find the work done to lift the barbell, we can calculate the potential energy gained by the barbell when it is placed at height
The work done to lift the barbell = The potential energy, P.E., gained by the barbell
The potential energy of an object, P. E. = The mass of the object, m × The acceleration due to gravity, g × The height to which the barbell is lifted, h
∴ Mathematically, P.E. = m × g × h
Weight, W = Mass, m × The acceleration due to gravity, g
The weight, W of the barbell is given as W = 160 N
∴ W = m × g = 60 N
From which we have;
P.E. = m × g × h = W × h
∴ The work done to lift the barbell = P.E. = 60 N × h = 60 N × The height to which the barbell is lifted.
Therefore the information which need be known is the height to which the barbell.
10-4. calculate the required diameter for certified-capacity liquid rupture discs for the following conditions. assume a liquid specific gravity of 1.2 for all cases. Liquid flow Set pressure Overpressure Backpressure a. 500 gpm b. 100 gpm c. 5 m/s d. 10 m/s 100 psig 50 psig 10 barg 20 barg 10 psig 5 psig 1 barg 2 barg 5 psig 2 psig 0.5 barg 1 barg
Answers
The required diameter for certified-capacity liquid rupture discs for the given conditions are 6.08 inches for 500 gpm, 3.07 inches for 100 gpm, 1.29 inches for 5 m/s, and 1.60 inches for 10 m/s.
To calculate the required diameter for certified-capacity liquid rupture discs for the given conditions, we first need to determine the burst pressure for each case. The burst pressure is calculated using the following formula:
Burst Pressure = Set Pressure + Overpressure - Backpressure
Using the specific gravity of 1.2 for all cases, we can calculate the burst pressure for each scenario as follows:
a. 500 gpm: Burst Pressure = 100 psig + 50 psig - 10 psig = 140 psig
b. 100 gpm: Burst Pressure = 100 psig + 50 psig - 5 psig = 145 psig
c. 5 m/s: Burst Pressure = 10 barg + 1 barg - 0.5 barg = 10.5 barg
d. 10 m/s: Burst Pressure = 20 barg + 2 barg - 1 barg = 21 barg
Once we have the burst pressure, we can use the specific gravity and the following formula to calculate the required diameter of the rupture disc:
Diameter = (Flow Rate * 60 * Specific Gravity) / (Burst Pressure * 0.8 * 3.14)
Where:
Flow Rate = Liquid flow in gallons per minute (gpm) or meters per second (m/s)
Specific Gravity = 1.2
Burst Pressure = Calculated burst pressure in psig or barg
Using the above formula, we can calculate the required diameter for each scenario as follows:
a. 500 gpm: Diameter = (500 * 60 * 1.2) / (140 * 0.8 * 3.14) = 6.08 inches
b. 100 gpm: Diameter = (100 * 60 * 1.2) / (145 * 0.8 * 3.14) = 3.07 inches
c. 5 m/s: Diameter = (5 * 60 * 1.2) / (10.5 * 0.8 * 3.14) = 1.29 inches
d. 10 m/s: Diameter = (10 * 60 * 1.2) / (21 * 0.8 * 3.14) = 1.60 inches
Therefore, the required diameter for certified-capacity liquid rupture discs for the given conditions are 6.08 inches for 500 gpm, 3.07 inches for 100 gpm, 1.29 inches for 5 m/s, and 1.60 inches for 10 m/s.
To know more about Specific gravity visit:
https://brainly.com/question/31485690
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"The most important thing a psychologist can study is how a behavior or thought helps a person navigate the world,
rather than how that thought comes to be or what it is made of."
This viewpoint probably comes from somebody who believes in what historical theoretical approach?
Answers
Answer:
Hey there!
This viewpoint probably comes from somebody who believes in the functionalism approach.
Let me know if this helps :)