The minimum mass of lead required to sink the wood is approximately 139.29 kg.
To calculate the minimum mass of lead required to sink the wood, we need to first determine the volume of the wood.
Using the formula V = m/ρ, where V is volume, m is mass, and ρ is density, we can calculate that the volume of the wood is 6.15 kg / 0.50 = 12.3 L. Next, we need to determine the buoyant force acting on the wood. This can be calculated using the formula Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid (in this case water), V is the volume of the displaced fluid (which is equal to the volume of the wood), and g is the acceleration due to gravity.
Substituting the values, we get Fb = 1000 kg/m3 * 0.0123 m3 * 9.81 m/s2 = 120.2 N.
For the wood to sink, we need the weight of the lead to be greater than the buoyant force acting on the wood. The weight of the lead can be calculated using the formula w = mg, where w is weight, m is mass, and g is the acceleration due to gravity. Substituting the values, we get w = m * g = (V * ρlead) * g = (0.0123 m3 * 11300 kg/m3) * 9.81 m/s2 = 1348.3 N. Therefore, the minimum mass of lead required to sink the wood is w/g = 1348.3 N / 9.81 m/s2 = 137.4 kg (to three significant figures).
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Therefore, a minimum mass of 1226.9 kg of lead, hung from the wood by a string, will cause it to sink.
To determine the minimum mass of lead needed to sink the piece of wood, we can use the principle of buoyancy. The buoyant force acting on the wood is equal to the weight of the water displaced by the wood. Since the wood is floating, the buoyant force is equal to the weight of the wood.
The weight of the wood can be calculated using its mass and the acceleration due to gravity (g = 9.8 m/s^2).
Weight of wood = mass of wood x g
= 6.15 kg x 9.8 m/s^2
= 60.27 N
To sink the wood, we need to add weight equal to the buoyant force acting on the wood. This can be calculated using the density of water (1000 kg/m^3) and the volume of the wood.
Buoyant force = weight of water displaced
= density of water x volume of wood x g
= 1000 kg/m^3 x (6.15 kg / 0.50) x 9.8 m/s^2
= 12036.6 N
Now, the minimum mass of lead required can be found by subtracting the weight of the wood from the buoyant force and dividing by the acceleration due to gravity.
Minimum mass of lead = (buoyant force - weight of wood) / g
= (12036.6 N - 60.27 N) / 9.8 m/s^2
= 1226.9 kg
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An aerobatic airplane pilot experiences
weightlessness as she passes over the top of
a loop-the-loop maneuver.
The acceleration of gravity is 9.8 m/s^2
If her speed is 280 m/s at this time, find the
radius of the loop.
Answer in units of km.
For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.
What is centripetal acceleration?The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.
As Centripetal Acceleration formula is;
a = v²/r
Given, V- velocity = 280 m/s
And we know that for weightless object,
Gravity = centripetal acceleration
So, a = g
given, g =9.8 m/s²
So,9.8 = 280²/r
r= 8000 m
Radius of the loop = 8 km
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A car accelerates uniformly from rest and
reaches a speed of 13.9 m/s in 3.7 s. The
diameter of a tire is 85.1 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slipping.
Answer in units of rev.
The number of revolutions of the tire during the motion is 10 revolutions.
What is the number of revolutions of the tire?The number of revolutions of the tire during the motion is calculated from the distance travelled by the tire.
The total distance travelled by the tire during the motion is calculated as follows;
s = t ( u + v ) / 2
where;
u is the initial speed of the carv is the final speed of the cart is the time of motions = 3.7 x ( 13.9 + 0 ) / 2
s = 25.72 m
The number of revolutions of the tire is calculated as follows;
N ( 2πr ) = 25.71
where;
r is the radius of the tireN = ( 25.71 ) / ( 2π x 0.4255 )
N = 9.6 ≈ 10 rev
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2. A barista uses the expression 4.25v + 2.65g to calculate her profit when she sells v, ven
and g, grande, beverages. What is the barista's profit, in dollars, when she sells 36 venti an
44 grande beverages?
1. write true or false
Centrifuge works on centripetal force
b. separating funnel is used to separate blood cells from blood samples
c. Rotors are used in physical separation of a solid and a liquid.
d. Centrifuge is used to separate suspended particles from suspension
e. Milk and water are separated by using separating funnel
f. The role of condenser is connected to hot water supply
Answer:
a
true
true
true
true
true
true
true
Which is defined as the statement that answers the scientific problem based on the results of the experiment?
Conclusion statement defines the answer of a scientific problem based on the result of the experiment.
A scientific problem is solved by the scientific methods. A scientific method is the step-by-step approach to a conclusion of the problem. It may include the following steps.
Observation: It is the first step of the method. It is based on that how do you see the problem.
Hypothesis: It is the result you think that you will get.
Prediction: It is based on your scientific knowledge. If our hypothesis is correct than our prediction will also be true.
Experiment: It is the system or mechanism designed by you to test your hypothesis.
Conclusion: It is the final result based on the experiment of the method. This statement tells you whether your hypothesis is true or not.
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Alternative energy sources like solar and wind power _______. A. Are always available b. Are only replenished with human intervention c. Are renewable d. Are more versatile than fossil fuels please select the best answer from the choices provided a b c d.
Alternative energy sources like solar and wind power are always available option A is the correct answer.
How many different kinds of alternative energy are there?In addition to the seven energy sources mentioned above, other alternative energy sources include geothermal energy, wave energy, hydroelectric energy, solar thermal energy, and even space solar energy. Geothermal energy is generated within the earth and is used, unlike wave and hydroelectric energy uses the power of water.
Does solar power have a finite or infinite supply?There will never be a shortage or shortage of solar energy because it is one of the cleanest and most plentiful renewable resources. Every person on the planet might theoretically have access to energy for a year with just one hour of sunlight shining on the earth's atmosphere.
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Who deals with the cosmos order?
Answer: Cosmology
Explanation:
5) Calculate the moment caused by a 2 kg mass placed at a distance of 0.5 m to the left of the pivot. Is this
moment clockwise, or anti-clockwise? (2 marks)
The moment caused by the 2 kg mass placed at a distance of 0.5 m to the left of the pivot is 1 kg m. This moment is anticlockwise.
What is moment ?Moment is a physical parameter equal to the product of the distance or displacement and another physical quantity such as mass, force etc.
For a mass of 2 kg and distance of 0.5 m the moment is :
moment = mass × distance
= 2 × 0.5 = 1 kg m
If we are taking the moment of force, then it the product of the distance and force acting on the body is taken.
force = mg
F = 2 kg × 9.8 m/s² = 19.6 N
then moment of force = 19.6 N × 0.5 m = 9.8 N
The moment from left to right in direction is anticlockwise.
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Leilani has struggled with body distortion for a while. She is so unhappy with how she imagines that she looks that she does not even want to leave
the house or hang out with her friends. In fact, if she can avoid being in public, she does. She just wants to stay in her room. What is the BEST
description of the effect that her body distortion is having?
A. dyslexia
B. anorexia
C. depression
D. suppression
The BEST description of the effect that her body distortion is having is (C) depression.
What is depression?Depression is a mental health disorder characterized by a persistent feeling of sadness, hopelessness, and loss of interest in activities. People with depression may experience changes in sleep, appetite, energy level, and concentration. Additionally, they may experience feelings of guilt, worthlessness, and helplessness. Symptoms of depression can range from mild to severe and can include physical symptoms such as fatigue, headaches, and stomachaches. Psychotherapy, medication, and dietary changes were available treatments for depression. With the right support and treatment, individuals can lead a healthy and fulfilling life.
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Instructions for finding a buried treasure include the following: Go 779.7 paces at 288◦ , turn to 132◦ and walk 266 paces, then travel 115 paces at 75◦ . Find the magnitude of the resultant displacement from the starting point. Answer in units of paces. Answer in units of paces
Answer :
after this all u can write this
hat conditions are necessary for a partial solar eclipse? what conditions are necessary for a partial solar eclipse? first or third quarter moon at a node new moon on ecliptic, with us in the penumbral shadow full moon at apogee full moon on equator, with us in the umbral shadow new moon at perigee
Answer:
An eclipse of the sun must occur at a "new" moon - when the moon is between the earth and the sun.
The word penumbra refers to a "partial" eclipse as opposed to umbra which refers to total eclipse.
A partial eclipse must include both terms - "new" and "penumbra"
how does resistance change with charge density?
The resistance would increase when the charge density increases.
What is the resistance?We have to note that when we talk about the resistance, we mean the opposition that is offered to the flow of current in the circuit. Let it be known that the resistance would be seen to increase as the charge density is increasing. The reason why this is going to occur is that we are going to have a lot of charges that are migrating at the same time and as such the rate of the movement of the charges or their speed would be slowed down.
If on the other hand, we see that the charge density is low, we are going to have less charges and they are going to move more freely and the resistance or the opposition to the movement of the charges would be lower.
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How to calculate the energy tranformed from the water in the kettle to the urrounding in 2 hour i 4600 J when the ma i 0. 50kg heat capacity i 4200 J/kg and initial temperature i 100°
The energy transformed from the water in the kettle to the surrounding water loses 4200 J/kg °C * 0.5 kg = 2100 J/°C.
As it's lost 46,200 J in total (regardless of the time it took for this to happen), it must have reduced in temperature by 22 degrees. Assuming 100°C initially, temperature of water in kettle is now 78°C.
The purpose of this experiment is to determine the specific heat of two metal blocks. In one of these measurements you will also investigate the use of Newton's Law of Cooling to calculate a cooling correction. The units of specific heat in SI are J / kg ˚C.
When a body of mass M at temperature T1 receives an amount of heat (or energy) Q, its temperature may increase from T1 to T2. The heat capacity C of a body is the amount of heat required to raise its temperature by one (Kelvin) degree.
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Can someone write 2-3 sentences about waves. (Transversal waves, Wavelength, Longitudinal waves.)
The answers include the following below:
Transversal waves - This is the type of wave whose oscillations are perpendicular to the direction of the wave's advance.Wavelength - This is the distance between corresponding points of two consecutive waves.Longitudinal waves - This is the type of wave in which the vibration of the particles takes place in the same direction as that of the wave.What is a Wave?This is referred to as the propagation of disturbances from place to place in a regular and organized way and there are different types of waves.
An example is the longitudinal wave which has the vibration of the particles takes place in the same direction as that of the wave.
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p
4. Which of the following statements is not accurate regarding identifying factors on the health pyramid?
All three sides of the health triangle affect each other.
Personal actions are categorized on the health pyramid by the intended purpose of the initial actions.
Physical health is the base of the triangle and is the most important part of the health triangle.
Working out a gym would be categorized in the physical health category.
Pyramid collision, recommendations are made specifically for each person depending on their age, gender, and amount of physical activity. The consumption of cereals, milk, veggies, fruit, and oils are the main.
A health impact pyramid: what is it?
The Health Benefit Pyramid is a diagram that shows the many levels of impact that can come from interventions in public health. Attempts to deal with the social determinants that potentially affect your health are at the bottom of the pyramid, suggesting interventions with the highest potential impact. Housing, financial stability, public safety, jobs, education, and the environment are a few examples of these. The broader determinants of health are these.
What are the four primary categories of factors that affect health?
Numerous variables affect health, including These circumstances are referred to as social determinants, which are the socioeconomic factors that influence life expectancy and quality of life and support health. Examples of these factors include accommodation, education, access to food, and transportation. Too frequently, people lack control over their ability to access these resources that influence their health.
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You throw rocks repeatedly into a lake and make waves. If you throw rocks more frequently, what happens to the waves? Why?
If you throw rocks more frequently into a lake, the waves will become more frequent and closer together. This is because throwing the rocks more frequently increases the rate of disturbance in the water, leading to more waves being created.
What is the rocks distance about?As you throw rocks more frequently into the lake, the water molecules in the lake will be disturbed more often and at a faster rate.
These disturbances create waves on the surface of the water, which are essentially the transfer of energy through the water molecules. When the rocks are thrown more frequently, more energy is added to the lake at a faster rate, which results in more waves being created.
Due to the above, the distance between the waves will decrease and the amplitude of the waves will likely be the same. This is due to the fact that the rate of disturbance is increased and therefore more energy is added to the system and the waves are created more frequently.
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What’s the first step you should take wen working to create a work life balance
The steps to achieve a work-life balance, one should manage their time well, establish limits, pay attention to their health, and enjoy their work.
How can one balance work and life?The state of equilibrium where a person equally priorities the responsibilities of their career and their personal life is known as work-life balance. Because both are significant, neither should be ignored. Common causes of a bad work-life balance include the following: expanded obligations at work. putting in more hours.
How do employees respond to work-life balance?An ACAS analysis on work-life balance and flexible working shown how a poor balance can cause absences, poor productivity, and stress. Strict regulations, an excessive workload, a hostile work environment, deadline pressure, and a lack of job security are some organisational variables that interfere with work-life balance.
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Which object(s) formed last in our solar system?the sunthe solar nebulathe inner planetsthe planetesimals.
The planetesimals, which are small bodies that eventually formed into larger objects such as planets, are believed to have formed last in our solar system.
Our solar system formed around 4.6 billion years ago from a cloud of gas and dust, known as the solar nebula. The sun formed first from the dense, hot center of the nebula. As the sun formed, it began to emit heat and radiation, which caused the remaining gas and dust to begin to condense and form into small objects known as planetesimals.
As these planetesimals collided and merged, they grew larger and larger, eventually forming the inner planets, such as Mercury, Venus, Earth, and Mars. The outer planets, such as Jupiter and Saturn, also formed from the collision and merger of planetesimals, but they formed later in the process.
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Your question seems incomplete, but I assume the question was:
"Which object(s) formed last in our solar system?
the sun
the solar nebula
the inner planets
the planetesimals."
A 0.2 kg ball is caught in a 0.5 kg glove. The ball had been moving at 8.0 m/s and it required 5.0 N of force to stop it. What was the force on the glove?
The force on the glove is 12.8 N.
Solving for the force on the glove:
The force on the glove is equal to the impulse (change in momentum) experienced by the ball divided by the time over which the force was applied.
Impulse = force x time
= 5.0 N x (1/8.0 m/s)
Impulse = 0.625 Ns
The change in momentum of the ball ΔP is
ΔP = m x v
where,
m = is the mass of the ball
v= its velocity
Momentum = mass x velocity
= 0.2 kg x 8.0 m/s
Momentum= 1.6 kg m/s
The force on the glove is equal to the change in momentum divided by the time over which the force was applied:
Force = change in momentum/time
= 1.6 kg m/s
(1/8.0 m/s)
Force = 12.8 N
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what is determined by the circumference over time and dependent on the object's distance from the axis of rotation?
The circumference over time and dependent on the object's distance from the axis of rotation is known as angular speed.
What is angular speed of an object?The angular speed of an object is the rate of change of angular distance with time. The angular speed of an object is measured in radian per second and it is scalar quantity.
Mathematically, the formula for the quantity that is determined by the circumference over time and dependent on the object's distance from the axis of rotation is given as;
ω = ( θ ) / ( t )
where;
θ is the angular distancet is the time of motion of the objectω is angular speedThe formula for angular speed in terms of circumference and time of motion is given as;
ω = ( 2πr ) / ( t )
Thus, the above can be called rotational speed because it depends on the object's distance from the axis of rotation.
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1. Benefits of Renewable Energy?
2. Renewable Energy Today?
3. Using Biomass as an Energy Source?
Answer:
1.Benefits of Renewable Energy Use
Less global warming.
Improved public health.
Inexhaustible energy.
Jobs and other economic benefits.
Stable energy prices.
2.Hydroelectric generation at scale dates back more than a century, and is still our largest renewable source – excluding traditional biomass, it still accounts for more than 60% of renewable generation
3.Biomass can be burned to create heat (direct), converted into electricity (direct), or processed into biofuel (indirect). Biomass can be burned by thermal conversion and used for energy
A 12 kg sled slides down a hill and collides inelastically with an 8 kg block at rest at the bottom of the hill (the sled and block stick together). There is no friction on the hill but the coefficient of friction on the flat ground is µ = .75. The sled and block slide for 2.5 meters along the flat ground before stopping. Calculate the following:
1. What is the frictional force between the sled & block (stuck together) and the flat
ground?
Answer:
To calculate the frictional force between the sled & block (stuck together) and the flat ground, we can use the equation:
friction = friction coefficient * normal force
The normal force is equal to the gravitational force acting on the combined mass of the sled and block, which is 12 kg + 8 kg = 20 kg. The gravitational force is equal to the mass multiplied by the acceleration due to gravity (g = 9.8 m/s^2).
So the normal force = 20 kg * 9.8 m/s^2 = 196 N
The coefficient of friction (µ) is given as 0.75. So the frictional force is:
friction = 0.75 * 196 N = 147 N
So the frictional force between the sled & block (stuck together) and the flat ground is 147 N.
Note that in calculating the normal force, we are assuming that the sled and block are moving as a single unit and therefore the force is acting on their combined mass. Also the force is calculated on the basis of friction coefficient which is given as 0.75
Answer:
Explanation:
The frictional force between the sled and block (stuck together) and the flat ground can be calculated using the formula:
friction = coefficient of friction * normal force
The normal force is the force exerted on an object perpendicular to the surface it is in contact with, and it can be calculated by using the weight of the object (mg). In this case, the weight of the sled and block (stuck together) is 12 kg + 8 kg = 20 kg. So, the normal force is 20 kg * 9.8 m/s^2 = 196 N.
Using the coefficient of friction provided (µ = .75), we can calculate the frictional force as:
friction = .75 * 196 N = 147 N.
So, the frictional force between the sled and block (stuck together) and the flat ground is 147 N.
After running, your friend lies down on the tile floor because he says the "coldness" of the tile transfers to his body and helps him cool down faster.
Is his statement correct? Explain your reasoning in complete sentences. Help please thank you
Energy floating hands with a constant chill. growing desire to resist the Führer Only after he had a difficult time recovering from his push-ups.
Which scenario best exemplifies convectional heat transfer?steaming water Heat from the flame travels into the saucepan when the water boils, warming the liquid at the bottom of the pan. As the hot water rises as well as the cooled water falls to replace it, a passed through ( transmitted is produced.
How can convection efficiently move heat?Thermal energy is transferred from heated to cool places by convection. Convection is the process by which warmer portions of a gas or liquid move toward cooler areas of the same liquid or gas. Then, cooler liquid or gas replaces the heated portions that have ascended higher.
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A device that uses electrical energy as it interferes with the flow of charge is a:
A. Conductor
B. Insulator
C. Reactor
D. Blocker
A device that uses electrical energy as it interferes with the flow of charge is a Reactor. Hence, option (C) is correct.
What is Reactor?Reactance is the resistance to current flow in an AC circuit. A coil connected in series between two points in a power system is referred to as a reactor, also known as a line reactor, in order to reduce inrush current, voltage notching effects, and voltage spikes.
To adjust for a change in the load that the motor is starting, reactors can be tapped to vary the voltage across them. Ohms of impedance at a specific frequency and current are used to rate reactors.
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A lens produces a real image of a real object.
a) Is the image inverted or upright?
b) Is the lens diverging or converging?
c) Is the image enlarged or reduced in size?
d) If two convex lenses identical in size and shape aremanufactured from glass with two different indices of refraction,would the focal length of the lens with the greater index ofrefraction (lens 1) be larger or smaller than that of the otherlens (lens 2)?
The image is inverted, the lens is converging, the image is enlarged in size, the focal length of the lens with the greater index of refraction(lens 1) will be smaller than that of the other lens(lens 2).
A real image is that which can be obtained on the screen whereas a virtual image cannot be. A concave lens always produces virtual image whereas a convex lens can produce both real and virtual image. So the lens is convex lens which is also called converging lens. A converging lens always produces enlarged or the same size image but never produce smaller image. So the image will be enlarged in size.
The refractive index of a glass is the measure of light bending ability of it. Greater the refractive index more will be the bending of a light ray. So, if two convex lenses identical in size and shape are manufactured from glass with two different indices of refraction, the focal length of the lens with greater refractive index would be smaller.
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!PLEASE HELP! 35 POINTS!
Answer the following questions in complete sentences.
A student secures a picture frame to a wall using a screw.
Part A: In terms of force, direction, and distance, explain how the screw makes the student's work easier.
Part B: Describe a change to this screw design that would make this student’s work even easier.
Answer:
Explanation:
A: Screws are a simple machine that make doing work easier.
Work = W = Fd
F = W/d
So by increasing distance (d), you decrease the amount Force needed to do the work.
By applying a small rotational force (circular direction) on the screw, the axial force is amplified. It takes less force to turn a screw around than to drive a nail straight into the wall.
B: To make the job even easier, choose a screw with a "finer" thread. The smaller the pitch (the distance between the screw's threads), the greater the mechanical advantage (the ratio of output to input force).
Part A: The screw makes the student's work easier by providing a force that is directed downwards into the wall, allowing the student to secure the picture frame in place with a relatively small distance of travel.
What is force?Force is a physical quantity that is defined as the product of mass and acceleration. It is a vector quantity, meaning it has both magnitude and direction. Force is one of the fundamental concepts of physics and is responsible for the motion of objects. It is also responsible for the interaction between objects, such as the force of gravity that keeps the planets in orbit around the sun. Force can be applied to objects in order to cause them to move, accelerate, decelerate, or change direction. Force can also be used to do work, such as lifting a weight or pushing a car. Force is an important concept in physics and is used to explain many phenomena in the natural world.
Part B: A change to the screw design that would make the student's work even easier would be to use a self-tapping screw, which has a sharp point that allows it to cut its own thread into the wall, eliminating the need to pre-drill a hole. This would reduce the amount of effort required to secure the picture frame to the wall.
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What was the hypothesis of Gregor Mendel?
The Hypothesis of Gregor Mendel are:
Pairs of distinct physical components are responsible for determining each characteristic (now called genes).During the process of gamete creation, gene pairs become physically distinct from one another (Law of Segregation).There is a possibility of having two, three, or even more variants of a gene (alleles).Sometimes one allele, which is referred to as the dominant allele, can hide the expression of the other allele, which is referred to as the recessive allele.Organisms that are capable of true breeding have two copies of the same allele (homozygotes), while hybrids have two copies of alleles that are different (heterozygotes).Chance plays a role in deciding which of two members of a pair of genes will be included in a gamete (Law of Independent Assortment).GREGOR MENDEL IMPACTMendel's work with his signature peas led to the description of the rules of heredity and the invention of the phrases dominant, recessive, and discrete factor (Orel 1984), which predated the concept of gene (Pisum sativum).
Working with pea plants, Gregor Mendel uncovered the rules of heredity. He reasoned that genes must exist in pairs since each child receives a set of DNA from both parents. Mendel observed how qualities from both parents may show up in offspring, and how they would be passed down as either dominant or recessive.
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A hollow steel tube with an inside diameter of 100mm must carry a tensile load of 400 kn.
The outer diameter of a hollow steel tube when the stress is limited to 120 MN/m² is 119.35 mm
Axial stress refers to the stress induced in a loaded member along the longitudinal or axial member direction. Calculated mathematically from the ratio of the axial or longitudinal force to the cross-sectional area of the member.
Using the expressions for the axial stress and rated load, the cross-sectional area of the tube can be determined. Substituting the values for the cross-sectional area of the tube and the inside diameter of the tube in the expression for the cross-sectional area of a hollow cylinder yields the outside diameter of the tube.
σ = F/A
The formula for calculating the cross-sectional area of a hollow cylinder.
A = π/4(D² – d²)
Here, the inside and outside diameters of a hollow cylinder are d and D.
Step 1
Determine the cross-sectional area of tube (A) using the axial stress expression:
σ = F/A
Here, the axial stress limit is σ = 120 MN/m2 and the tensile load is F = 400 kN
σ = F/A
120 x 10³KN/1 MN = 400 kN/A
A = (400 kN) ÷ (120 x 10³ kN/m²)
A = 3333.33 mm²
Substitute the values for the cross-sectional area of the cylinder and the inside diameter of the cylinder in the equation for the cross-sectional area of the hollow cylinder to calculate the outside diameter of the cylinder.
A = 3333.33 mm²
d = 100 mm
A = π/4(D² – d²)
3333.33 mm² = π/4(D² – 100²)
D² =[tex]\sqrt{ 14244.128}[/tex]
D = 119.35 mm
So, the outside diameter of the hollow is 119.35 mm.
Complete the questions is:
A hollow steel tube with an inside diameter of 100 millimeters must carry a tensile load of 400 kN. What is the outside diameter of the tube if the stress is limited to 120 MN/m²?
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How does weathering and erosion work together to shape the earth
Answer:
is d
Explanation:
Ethan is 1. 85 meters tall. At 10 a. M. , he measures the length of a tree's shadow to be 28. 45 meters. He stands 24. 3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Ethan is 1. 85 meters tall. At 10 a. M. , he measures the length of a tree's shadow to be 28. 45 meters. He stands 24. 3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. the height of the tree to the nearest hundredth of a meter is 12.68 meters
As a result, using the definition of proportion,
Tree: ethan = ethan shadow: Tree shadow
If you replace all the values, you get;
x / 1.85 = 28.45 / (28.45 - 24.3)
x / 1.85 = 28.45 / 4.15
x = 1.85*28.45 / 4.15
x = 12.68 m (rounded)
Consequently, the tree's height will be;
12.68 meters
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