(a) The rate at which your hair grows is approximately 20.3 nm/s.
(b) The protein synthesis machines are working at a rate of approximately 203.2 atomic layers/s.
What is the rate at which your hair grows in nm/s?
First, we need to convert the rate of hair growth from inches per day to nanometers per second. There are 2.54 centimeters in an inch, and 10 million nanometers in a centimeter.
So, we can calculate:
1/35 inch per day = (1/35) x 2.54 cm/inch x 10^7 nm/cm x 1 day/86400 s
= 20.319 nm/s (rounded to three significant figures)
If an atomic layer is approximately 0.1nm thick, then the number of atomic layers formed in one second will be the ratio of the growth rate of the protein synthesis machines to the thickness of an atomic layer.
We can use the growth rate we calculated in part (a) and divide it by 0.1 nm to find the number of atomic layers formed per second:
20.319 nm/s / 0.1 nm/layer = 203.19 layers/s
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A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
Answer:
When the rock is dropped from a height of 9.0 m, its initial potential energy is given by
PE = mgh = (6.0 kg)(9.8 m/s^2)(9.0 m) = 534 J
We can solve for the height at which the kinetic energy of the rock is twice its potential energy by setting the kinetic energy equal to twice the potential energy and solving for h.
KE = 1/2 mv^2 = (1/2)(6.0 kg)(v^2)
2 * PE = 2 * (6.0 kg)(9.8 m/s^2)(h)
Substituting and solving for h yields
h = 15 m
A region of space contains a uniform electric figure. Which statement about this situation is field, directed toward the right, as shown in the correct? a. The potential at all three locations is the same. b. The potentials at points A and B are equal, and the potential at point C is higher than the potential at point A c. The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. d. The potential at point A is the highest, the potential at point B is the second highest, and the potential at point C is the lowest E) There is no measurable potential at any of these points
The right statement for electric field is The potential at points A and B are equal, and the potential at point C is lower than the potential at point A. The correct option to this question is C.
Electric field At a particular area, a uniform magnetic field and an equally uniform electric field act in the same direction. As an electron is projected into the area, it points its velocity in the direction of the fields.The field lines are parallel, uniformly spaced, and straight in an even electric field. Since a line can never begin and end on the same charge, electric field lines can never form closed loops. Always moving from higher potential to lesser potential, these field lines.For more information on electric field kindly visit to
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list the general formulas for the following reactions:
A. synthesis:
B. decomposition:
C. single-replacement:
D. double-replacement:
(a) The formula for Synthesis is A + B → AB
(b) The formula for Decomposition is AB → A + B
(c) The formula for Single-replacement is A + BC → B + AC
(d) The formula for Double-replacement is AB + CD → AD + CB
What are the formula of the reactions?
A synthesis reaction occurs when two or more reactants combine to form a single, more complex product. For example, the reaction of hydrogen gas (H2) and oxygen gas (O2) to form water (H2O) is a synthesis reaction
2H2 + O2 → 2H2O
A decomposition reaction occurs when a single reactant breaks down into two or more simpler products. For example, the breakdown of hydrogen peroxide (H2O2) into water (H2O) and oxygen gas (O2) is a decomposition reaction.
2H2O2 → 2H2O + O2
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The voltage across a disconnected charged plate capacitor increases when the plates are pulled apart
a. True
b. False
1 /B 1 B 1 1/ Q B A A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? R Search listening t... KWFinder: Keywor... A space ship, initially traveling at constant velocity along a straight line, decides to switch course. It first fires it's engine at full power for a very short time in the direction perpendicular to its trajectory at point A, giving it an instantaneous large boost. Then at point B, it fires its engine continuously at a much lower power in the opposite direction until it reaches point C. Which of the following trajectories most closely represent the trajectory of the ship? Pick the correct answer 0 1 g 2 O 3 o 4 o 5 Submit
The spaceship undergoes an instantaneous change in velocity at point A and then undergoes a continuous change in velocity at point B until it reaches point C. The trajectory of the spaceship is therefore curved and can be represented by one of the given options.
What is Instantaneous Velocity?
Instantaneous velocity is the velocity of an object at a specific moment in time or at a specific point in its motion. It is the limit of the average velocity as the time interval over which it is calculated approaches zero. In other words, it is the slope of the tangent to the position-time graph at a particular point.
To calculate the instantaneous velocity of an object, you need to determine the object's position at a specific moment in time and then take the derivative of the position function with respect to time. The resulting derivative gives you the object's instantaneous velocity at that specific moment in time.
Instantaneous velocity is important in physics and many other fields because it allows us to understand the behavior of objects in motion and to calculate important quantities such as acceleration, momentum, and energy.
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which of the following displays would be best to use for your lab 3 part v requirement since it has the decoder circuitry embedded on itself?
I'm sorry, but I would need more information about the lab 3 part v requirement to provide an accurate answer to this question. Please provide more context or details about the lab and the requirements for part v.
PLEAS HELP
The picture is to answer the questions and here are the questions
The Death of Georgi Markov and the Attack on Vladimir Kostov (1978)
1. What was the delivery method of the ricin?
2. What are the symptoms of ricin poisoning?
3. How much ricin did they find in Markov?
Tylenol Tampering (1982)
1. How many people died?
2. What are the circumstances surrounding the deaths?
3. When/where did the tampering likely occur? How do they know?
4. What is the significance of this case?
answer:
The delivery method of the ricin used in the attack on Georgi Markov was a pellet shot from an umbrella.
Symptoms of ricin poisoning include nausea, vomiting, diarrhea, abdominal pain, and difficulty breathing. In more severe cases, organ damage and death can occur.
They found traces of ricin in Markov's tissue samples.
In the Tylenol tampering case, seven people died.
The circumstances surrounding the deaths were that the victims had all taken Tylenol capsules that had been laced with cyanide.
The tampering likely occurred in the Chicago area, as the victims were all from the city and the surrounding suburbs. Investigators determined that the tampering occurred at the retail level, as the bottles had only been opened after they had been purchased and brought home.
The significance of this case is that it led to the introduction of tamper-proof packaging and increased safety regulations for over-the-counter medications. It also raised public awareness about the importance of product safety.
What is the mass of balsa wood wing with these dimensions: 26. 9 cm x 5. 5 cm x 0. 15 cm?.
The mass of the balsa wood wing with the given dimensions is approximately 0.00333 kg
To calculate the mass of the balsa wood wing, we need to know the density of balsa wood. The density of balsa wood can vary depending on the specific type of balsa wood, but a typical range is around 100 to 200 kg/m³.
Let's assume the density of the balsa wood is 150 kg/m³, which is a common value for medium-density balsa wood.
First, let's convert the dimensions of the wing from centimeters to meters:
Length = 26.9 cm = 0.269 m
Width = 5.5 cm = 0.055 m
Thickness = 0.15 cm = 0.0015 m
The volume of the wing can be calculated by multiplying the length, width, and thickness:
Volume = Length x Width x Thickness
= 0.269 m x 0.055 m x 0.0015 m
= 0.0000222 m³
The mass of the wing can then be calculated by multiplying the volume by the density:
Mass = Volume x Density = 0.0000222 m³ x 150 kg/m³ = 0.00333 kg
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the two blocks in (figure 1) are connected by a heavy uniform rope with a mass of 4.00 kg . an upward force of 200 n is applied as shown.
The force is an external agent which is capable of changing a body's state of rest or motion. The acceleration due to gravity is 12.5 m/s².
What is force?The push or pull on an object with mass causes it to changes its velocity is defined as the force. The direction towards which the force is applied is called the direction of the force and the application of the force is the point where force is applied.
The SI unit of force is Newton. The equation which connects the force with mass and acceleration is given by:
F = ma
Total mass = 5 + 4 + 7 = 16
a = F / m
= 200 / 16
= 12.5 m/s²
Thus the acceleration of the system is 12.5 m/s².
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Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 6%, and all stocks have independent firm-specific components with a standard deviation of 54%. Portfolios A and B are both well diversified.Portfolio Beta on M1 Beta on M2 Expected Return (%)A 1.7 2.0 33B 1.9 -0.8 14What is the expected return–beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.)Expected return–beta relationship E(rP) =__ % + ___ βP1 + ___ βP2
Answer:
37%
Explanation:
the % sigh isn't needed only if you need it for the assignment.
5. A schoolyard teeter-totter with a total length of 5.2 m and a mass of 38 kg is pivoted at its center. A 19kg child sits on one end of the teeter-totterWhere should a parent push vertically downward with a force of 210 N in order to hold the teeter-totter level?
The parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold teeter-totter level.
What is force?Force can be a push or a pull that is always with magnitude and direction.
As, Fp × x - Mg × d - mc × (L - x) = 0
Fp is force applied by the parent, x is distance from the pivot point to the point where the parent applies force, Mg is weight of the teeter-totter, mc is the weight of the child, and L is length of the teeter-totter.
Fp × x - (38 kg × 9.81 m/s²) × 2.6 m - (19 kg × 9.81 m/s²) × (5.2 m - x) = 0
Fp × x - 976.68 N × m - 185.58 N × m + 183.39 N × m = 0
Fp × x = 978.87 N × m
x = 978.87 N × m / Fp
So, x = 978.87 N × m / 210 N = 4.66 m
Therefore, the parent should push vertically downward at a distance of 4.66 m from the pivot point in order to hold the teeter-totter level.
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Based on the data, what is the relationship between the wave frequency and wave speed?.
C) The speed increases with increasing frequency.
The data shows that as wave frequency increases, wave speed also increases. As the frequency increases, the wave has more energy, so it moves faster.Frequency is a measure of how often something occurs over a period of time. It is usually measured in cycles per second (Hertz) or per minute (cycles per minute). Frequency is used in various fields such as radio, sound, and electromagnetic waves. Wave speed is the speed of a wave as it moves through a medium.Meters per second (m/s) or kilometres per hour (km/h) are the usual units of measurement. This implies that the wave's speed grows together with its frequency.The wave equation is the name given to this relationship.
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complete question:added as picture
the following diagrams all show the same star, but each shows a different planet orbiting the star. the diagrams are all scaled the same. (for example, you can think of the tick marks along the line that passes through the sun and connects the nearest and farthest points in the orbit as representing distance in astronomical units (au).) rank the planets from left to right based on their average orbital distance from the star, from longest to shortest. (distances are to scale, but planet and star sizes are not.)
Planets from left to right based on their average orbital distance from the star, from longest to shortest: Planet 3, Planet 1, Planet 2, Planet 4.
What is Planet?Planet is an Earth observation company that operates the world’s largest constellation of Earth-imaging satellites. The company’s satellites capture 3 million square kilometers of Earth’s landmass every day, providing daily global imagery and high-resolution data for analysis. Planet’s data and imagery are used by governments and private businesses in agriculture, conservation, disaster response, energy, finance, news media, and transportation.
Planet’s mission is to image the entire Earth every day and make global change visible, accessible, and actionable. The company’s technologies enable people to monitor and understand the changes taking place across our planet, from natural disasters to deforestation to the effects of climate change.
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What is constant speed?
Answer:When the speed of an object stays at the same speed
Explanation:
Answer:
•,¸,.·'｡◕ ᴗ ◕｡'·.,¸,•When the speed of an object remains the same - it does not increase or decrease - we say it is moving at a constant speed. constant speed.
A hydraulic system is designed to lift a maximum weight of 10,000 N. If the output piston has a diameter of 10 cm, what should be the diameter of the input piston?
. A 1 m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretch the spring from 1 m to 1.2 m
The amount of work required to stretch the spring from 1 m to 1.2 m is 40 J.
The work required to stretch the spring from 1 m to 1.1 m is 10 J.
The work required by spring is given by Hooke's Law,
W = ∫ Fdx
Here, F = kx , where k = spring constant.
W = ∫ kxdx
W = ∫ kxdx, where lower limit = 0 and upper limit = 0.1.
W = k×(x²)/2,
On evaluating the value of k,
k = 2W/0.01
k = 2000
For stretching the string from 1 m to 1.2 m,
W = ∫ kxdx
W = k∫x²/2
On substituting values of x,
W = {2000×[(0.2)² - (0)²]}/2
W = 40 J
Hence, The work required to stretch the spring from 1m to 1.2 m is 40 J.
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determine the resultant force that water exerts on the overhang sea wall along abc. the wall is 2 m wide.
The resultant force that water exerts on the overhang sea wall along abc is 179 kN.
What is force?Force is a physical quantity that describes the interaction between two objects, such as a push or a pull. It is defined as any influence that causes an object to undergo a change in motion or deformation. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction.
Component that is horizontal. Because AB is horizontal, there is no horizontal component. The horizontal component of BC's force is.
(Fbc)h =γwhˉA=(1000kg/m3)(9.81m/s2)(1.5m+21(2m))(2m(2m))=98.1(103)N.
Component that is vertical. The weight of the water contained in blocks Abefa and Bcdeb (shown shaded in Fig. a) is equal to the force on AB and the vertical component of the force on BC. Here,
Aabefa=1.5m(2.5m)=3.75m2and
2Abcdeb=(3.5m)(2m)–4π(2m)2=(7–p)m2. Then,
Fab=γwVabefa=(1000kg/m3)(9.81m/s2)[(3.75m2)(2m)] =73.575(103)N=73.6N (FBC)v=γwVbcdeb=(1000kg/m3)(9.81m/s2)[(7–π)m2(2m)] =75.702(103)N
Therefore,
Fbc=(Fbc)²h2+(Fbc)²v2=√[98.1(10³)N]²+[75.702(10³)N]²=123.91(10³)N=124KN
FR² =(Fbc)²H2+[Fab+(Fbc)v]²
==[98.1(10³)N]² + [(73.6(10³)N)²+75.702(10³)N²]
=178.6(10³)N = 179 kN.
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The space above a hung ceiling used for environmental air-handling purposes is an example of ________ and the wiring limitations of ______ apply.
(a) a specifically fabricated duct used for environmental air, 300.22B
(b) other space used of environmental air (plenum), 300.22(C)
(c) a supply duct used for environmental air 300.22(B)
(d) none of these
The space above a hung ceiling used for environmental air-handling purposes is an example of other space used of environmental air (plenum) and the wiring limitations of 300.22(C) apply. Therefore, the correct option is option B.
What is environment?An environment may be simply defined as a system that includes all its abiotic and biotic components that have an impact on human life. All flora and animals are considered biotic, or living, elements, whereas water, sunshine, air, temperature, etc. are considered abiotic.
An environment's resources can be any good, service, or feature that benefits people and society. The space above a hung ceiling used for environmental air-handling purposes is an example of other space used of environmental air (plenum) and the wiring limitations of 300.22(C) apply.
Therefore, the correct option is option B.
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3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
Answer:
1.73 x 10-7 N
Explanation:
3. What is the electrostatic force of attraction between a -5.8 x 10-7C charge and a 3.8 x 10-8C charge if they are separated by a distance of 4.4 meters?
The electrostatic force of attraction between two charges can be calculated using Coulomb's law, which states that the force of attraction is inversely proportional to the square of the distance between them. In this case, the two charges are -5.8 x 10-7C and 3.8 x 10-8C and they are separated by a distance of 4.4 meters. Plugging these values into Coulomb's law, the electrostatic force of attraction is 1.73 x 10-7 N.
a taser can produce discharges of 50,000 volts. which of the following is a consequence of this discharge in a muscle fiber?
This discharge occurs within a muscle fiber and results in the formation of cross-bridges between actin and myosin.
Which of the following variables affects how quickly and how long muscles contract?The length of the muscle fiber and its ideal distribution throughout the muscle, which enables the muscles to concentrate the necessary amount of force, are the elements that influence the speed and duration of muscle contraction.
What causes the form of physical exhaustion called as psychological exhaustion?Central weariness, often known as "psychological exhaustion," defines the unpleasant sensations that accompany fatigue. According to some theories, central weariness is caused by substances that are released by the muscles during exercise and tell the brain that it "feels" fatigued.
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Question:
A Taser can produce discharges of 50,000 volts. Which of the following is a consequence of this discharge in a muscle fiber?
Select one:
a. Depolarization of the muscle membrane by Ca+2 ions
b. All options are a consequence of an electrical discharge
c. Ca+2 release by ion pumps
d. Cross-bridges form between actin and myosin
e. Ca+2 binds tropomyosin
during a short time the air resistance acting on nellie indeed exceeds the force of gravity and produces a momentary blank net force and blank acceleration.target 1 of 5target 2 of 5 this acceleration blank her blank velocity but does not change its direction. the change of the speed blank the air resistance until it is equal to the force of gravity which stops the further change of the speed.
During a short time, the air resistance acting on Nellie indeed exceeds the force of gravity and produces a momentary negative net force and negative acceleration.
This acceleration decreases her forward velocity but does not change its direction.
The change of speed continues until the air resistance builds up to the point where it is equal to the force of gravity, which stops the further change of speed.
What are velocity and acceleration?The rate of change of displacement is known as velocity.
The rate at which velocity changes is called acceleration.
Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Being the rate at which velocity changes, acceleration is likewise a vector quantity.
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I need pls with this work pls
The missing part of the question have been filled below on Continental drift
What did Wegener do?
In the early part of the 20th century, a German scientist named Alfred Wegener, proposed the theory of continental drift which suggested the continents move and started out in different positions from what they are currently. In the 1960s, scientists discovered the spreading apart of areas of the sea floor. This in turn led to the theory of plate tectonics. The lithosphere is made of plates which float on a "plastic-like" undersurface called the mantle. Where these plates come together at boundaries, changes take place in the crust and its feature.
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What is viscosity ? explain with an example !
Answer:
Viscosity is the state of being thick, sticky, and semifluid, because of friction. A example is honey or syrup.
Terry kicks a soccer ball that is sitting motionless on the field. What is the best description of the energy transfer?(1 point).
When Terry kicks a soccer ball that is sitting motionless on the field, the energy transfer that occurs is from Terry's foot to the soccer ball. The transfer of energy can be described as kinetic energy, which is the energy an object possesses due to its motion.
What is kinetic energy?Kinetic energy is the energy that an object possesses due to its motion. It is defined as the energy an object has because of its mass and velocity.
Here,
With the ball being set in motion. This transfer of energy can be described as a transfer of kinetic energy. As the ball moves, it gains kinetic energy, which is the energy an object possesses by virtue of its motion. At the same time, Terry's foot loses kinetic energy. This is due to the conservation of energy, which states that energy can neither be created nor destroyed, only transferred or converted from one form to another. In this case, the energy that was initially in Terry's foot has been transferred to the ball in the form of kinetic energy, causing the ball to move.
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Question 4 (2 points)
(02.04 LC)
What is attachment?
O a
Ob
O c
Od
bond between one person and another
physical closeness
reparation of emotions
seeing the world only through one's own eyes
In this context, the term "attachment" refers to the emotional connection that exists between both the mother and their kid.
What exactly is a baby?There is considerable variety in how large that window is, even while the majority of healthy newborns and toddlers accomplish each milestone inside a defined window of time. Any child between the ages of birth and four is referred to as a baby, which includes newborns, babies, and toddlers. Children that are easygoing are typically joyful and active from infancy and are able to easily adapt to new settings and environments.
Describe a mother?Having given birth, nurturing an infant who might or may not be my biological child, or supplying her ovum are all examples of how a woman can be called a mother.
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Turnbuckle T1 is tightened to a tension of 180 lb and turnbuckle T2 is tightened to 120 lb. Determine the components of the corresponding force and moment reactions at the built-in support at O. Neglect the weight of the structure. 32" 24" A 24" T1 36" 18"
The components of the corresponding force and moment reactions at the built-in support at O are:
Horizontal reaction force = 0 lb
Vertical reaction force = 138.6 lb
Moment reaction = -5370.6 lb-in.
What is Moment Reaction?
In mechanics, a moment reaction refers to the force that acts on an object in response to a moment or torque applied to it. The moment reaction can be thought of as the force that resists the rotation of an object around a given axis. In engineering and physics, moment reactions are important in the analysis of structures and systems that involve rotational motion, such as beams, gears, and engines. They are typically represented as vectors, and can be calculated using mathematical formulas and equations based on the principles of mechanics and Newton's laws of motion.
We can apply the equations of equilibrium to point O to determine the components of the corresponding force and moment reactions. The equations of equilibrium are:
ΣFx = 0 (the sum of forces in the x-direction is zero)
ΣFy = 0 (the sum of forces in the y-direction is zero)
ΣM = 0 (the sum of moments about any point is zero)
Taking the x- and y-axes to be along the horizontal and vertical members, respectively, we have:
ΣFx = -T1 cos(45) - T2 cos(45) = 0
ΣFy = T1 sin(45) + T2 sin(45) = R
ΣM = -T1 cos(45) (24/2) - T2 cos(45) (24 + 36) + R (32) = 0
where R is the reaction force at point O.
Solving these equations, we get:
T1 = 180 lb
T2 = 120 lb
R = 138.6 lb
To find the moment reaction at point O, we can take moments about point O:
ΣM = -T1 cos(45) (24/2) - T2 cos(45) (24 + 36) + R (32) = M
where M is the moment reaction at point O.
Solving this equation, we get:
M = -5370.6 lb-in
Therefore, the components of the corresponding force and moment reactions at the built-in support at O are:
Horizontal reaction force = 0 lb
Vertical reaction force = 138.6 lb
Moment reaction = -5370.6 lb-in.
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The force reaction at the built-in support at O is the sum of the forces from turnbuckles T1 and T2, which can be calculated as follows:
What is force?Force is a push or pull on an object that results from an interaction between two objects. Forces can cause objects to accelerate, decelerate, start moving, stop moving, or change direction. Every interaction in the universe is a result of forces between two objects. Force can be a result of gravity, electromagnetism, or even nuclear forces. Forces are measured in Newtons and can be calculated using the equation F=ma, where F is the force, m is the mass of the object, and a is the object’s acceleration. Force is an integral part of many physical phenomena, and understanding how forces interact is essential to understanding our universe.
Force reaction from T1 = 180 lb
Force reaction from T2 = 120 lb
Total force reaction at O = 180 lb + 120 lb = 300 lb
The moment reaction at the built-in support at O is the sum of the
moments from turnbuckles T1 and T2, which can be calculated as follows:
Moment reaction from T1 = 180 lb x 24 in = 4320 lb-in
Moment reaction from T2 = 120 lb x 18 in = 2160 lb-in
Total moment reaction at O = 4320 lb-in + 2160 lb-in = 6480 lb-in
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explain how the sun drives convection currents in the ocean and in the atmosphere
Answer:
here u go
Explanation:
The heating of the Earth's surface and atmosphere by the sun drives convection within the atmosphere and ocean. This convection produces winds and ocean currents. The greater the pressure differences between a low-pressure area and a high-pressure area, the stronger the winds.
A horizontal pipe of diameter 0.842 m has a smooth constriction to a section of diameter 0.5052 m . The density of oil flowing in the pipe is 821 kg/m3. If the pressure in the pipe is 7370 N/m2 and in the constricted section is 5527.5 N/m2, what is the rate at which oil is flowing?
We can use Bernoulli's equation to solve this problem, which states that the total pressure at any point in a fluid flow system is the sum of the static pressure and the dynamic pressure. The equation can be written as:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
where P is the pressure, ρ is the density, and v is the velocity of the fluid at two different points in the flow.
We can assume that the fluid is incompressible, so the mass flow rate (m_dot) is constant throughout the pipe. The mass flow rate is given by:
m_dot = ρA1v1 = ρA2v2
where A is the cross-sectional area of the pipe at two different points in the flow.
We can use the above equations to solve for the rate at which oil is flowing:
From Bernoulli's equation:
P1 + (1/2)ρv1^2 = P2 + (1/2)ρv2^2
Substituting the given values:
7370 N/m2 + (1/2)821 kg/m3v1^2 = 5527.5 N/m2 + (1/2)821 kg/m3v2^2
From the continuity equation:
A1v1 = A2v2
Substituting the given values:
(π/4)(0.842 m)^2v1 = (π/4)(0.5052 m)^2v2
Simplifying, we get:
v2 = (0.842/0.5052)^2v1 = 2.628v1
Substituting v2 into Bernoulli's equation and simplifying, we get:
v1 = 6.08 m/s
Substituting v1 into the continuity equation and simplifying, we get:
m_dot = ρA1v1 = 177.4 kg/s
Therefore, the rate at which oil is flowing is 177.4 kg/s.
A 6.0-kg rock is dropped from a height of 9.0 m. At what height is the rock's kinetic energy twice its potential energy?
At a height of 4.48 meters, a rock's kinetic energy is twice its potential energy.
What are kinetic energy and potential energy?Potential energy is the energy stored in any object or system due to the position or arrangement of its parts. It is, however, unaffected by factors outside of the object or system, such as air or height. Kinetic energy, on the other hand, is the energy of moving particles in an object or system.
Given that a 6.0-kg rock is dropped from a height of 9.0 m.
Calculate the total potential energy at the initial point,
PE = mgh
PE = 6 x 9.81 x 9
PE = 530.74 J
At the zero height, the kinetic energy will be maximum and is equal to the total energy,
KE = 530.75 J
1/2 mv² = 530.75
v² = 175.85
The height at which the kinetic energy is two times the potential energy is calculated as:-
1 /2 x mv² = 2 x mgh
h = ( 4 v²) / ( 4 x 9.81 )
h = 4 ( 175.82 ) / ( 4 x 9.81 )
h = 4.48 meters
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A solid object labeled A weighs more than another solid object labeled B. Which of the following are true?
Answer
A occupies more volume than B.
A has a greater weight density than B.
A has a greater specific gravity than B.
A has greater volume but lesser weight density than B.
none of the above.
Answer:
None of the above.
Mass = Mass / Volume * Volume
W(eight) = Mass * 9.80 m/s^2 = Mass * Acceleration due to gravity
One needs to know specific values to make required comparisons.
None of the statements can be determined weighs as true without additional information.
What is the gravitational force?The gravitational force pulls any two things in the cosmos, regardless of whether their masses are equal or not.
The weight of an object depends on its mass and the gravitational force acting on it. Therefore, if two objects have different weights, it does not necessarily mean that one object has a greater volume or weight density than the other.
For example, object A could be made of a denser material than object B, even though it weighs more, so it would occupy less volume. Similarly, object A could have a lower volume but a greater weight density than object B. Specific gravity also depends on the density of the object and the density of the reference material, so it cannot be determined without additional information.
Therefore, none of the statements can be determined as true without additional information.
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