Answer:
prototype - a first model of something
obsolete - out of date
Unintended Consequence - outcomes of actions that weren't predicted and intended
Feedback - reactions to something from someone like a customer
What do you need to do before you can make a hypothesis?
How can you increase the amount of kinetic energy in an object
The amount of kinetic energy in an object can be increased by two ways:
by adding mass on the object.by accelerating the object.What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
The body holds onto the kinetic energy it acquired during its acceleration until its speed changes. The body exerts the same amount of effort when slowing down from its current pace to a condition of rest.
Mathematically kinetic energy can be expressed as:
Kinetic energy = 1/2 × mass × speed²
Hence, the amount of kinetic energy in an object can be increased by two ways:
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Which TWO statements describe the ocean floor giving brainliest please help
Answer:
A and B.
Explanation:
Answer C is wrong - there are no tall trees underwater
Answer D is wrong, there are mountain chains underwater due to plate tectonics.
According to this balanced equation, how many grams of water (H20) form in
this reaction?
Please help!
Answer:
18.02
Explanation:
Answer:
C) 18.02
Explanation:
A.P.E.X
What does the cosmological principle allow cosmologists to assume?
A. Exactly what the specific fate of the universe will be and when
B. The galaxies are organized clusters of billions of stars, gas, dust, and matter in all other forms.
C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.
D. How the helium clouds impact human health and life expectancy.
Answer:
C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.
Explanation:
The Cosmological Principle assumes that the small portion of the universe that we can see is representative of the entire universe, even though we can only directly observe a tiny fraction of it. It's an assumption used by Cosmologists to simplify their models of the universe.
pls help me its due today
Answer:
pls give me brainliest
Explanation:
in solid conductors, what is responsible for the flow of electrical current??
Answer:
Ussually, soft metals. or solid objects that allow the flow of eletrons.
Explanation:
Electric Current is the flow of electrons through a wire or solution. In a solid the electrons are passed from one positively charged metallic atom to next but in solution the electron is carried by the ions present in the solution. A solution capable of carrying charge is called an electrolyte.
In solid conductors, electron mobility is responsible for the flow of electrical current.
Electron mobility is principally responsible for the flow of electrical current in solid conductors. The subatomic particles known as electrons orbit the atomic nuclei of atoms and are negatively charged. The outermost energy levels of the atoms in a solid conductor, such as a metal like copper or aluminum, have numerous free or loosely bound electrons.
The conductor experiences an electric field that pulls on the free electrons when an electric potential difference (voltage) across its ends is applied (for example, by connecting it to a battery or power source). The electrons are propelled by this force toward the direction of the electric field.
Hence, in solid conductors, electron mobility is responsible for the flow of electrical current.
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If a planet has an orbital eccentricity equal to 0.70, then its orbit is
Closer to a perfect circle then a straight line
Almost rectangular
A very elongated ellipse
Almost parabolic
If a planet has an orbital eccentricity equal to 0.70, then its orbit is
a very elongated ellipse.What is eccentricity?Eccentricity is a measure of how squashed an ellipse is compared to a perfect circle.
The value of eccentricity ranges from 0 to 1, where 0 represents a perfect circle and 1 represents a parabolic orbit (which is not a closed orbit).
An eccentricity of 0.70 indicates that the planet's orbit is significantly elongated and not close to a perfect circle.
Therefore, the correct answer is - A very elongated ellipse.
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where p is the pressure of a gas, v is the volume, n is the number of moles of a gas, r is a constant, and t is temperature in degrees kelvin. the ideal gas law perfectly applies to particles with no mass, no intermolecular interactions, and no true volume. however, real molecules do not adhere perfectly to the ideal gas law. 17. the relationship between total energy, kinetic energy, and potential energy could best be described as:
The relationship between total energy, kinetic energy, and potential energy can be described as follows:
Total energy is the sum of kinetic energy and potential energy. Kinetic energy is the energy of motion and is proportional to the mass and the square of the velocity of the object. Potential energy is the stored energy of an object due to its position in a field of force, such as gravity. The greater the mass and the greater the distance between two objects, the greater the potential energy.Kinetic energy is the energy an object has due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: KE = 1/2 mv2. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass. The higher the mass and the faster the object or particle is moving, the greater its kinetic energy will be.
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What are the most promising theoretical models for describing the strong force interactions between quarks and gluons within a proton and how do these models address the challenge of non-perturbative effects such as confinement and chiral symmetry breaking in Quantum Chromodynamics?
The models provide important tools for understanding the strong force interactions within a proton.
What is Quantum Chromodynamics?The strong force interactions between quarks and gluons within a proton are described by Quantum Chromodynamics (QCD), which is a fundamental theory of the strong nuclear force in particle physics. QCD is a non-Abelian gauge theory, meaning that the interactions between the quarks and gluons are highly nonlinear and non-perturbative.
What is Lattice QCD?One of the most promising theoretical models for describing the strong force interactions within a proton is lattice QCD, which is a numerical approach that uses a discrete grid to represent the space-time continuum. Lattice QCD allows for the calculation of QCD observables from first principles, without resorting to perturbative expansions. This method can handle non-perturbative effects such as confinement and chiral symmetry breaking by allowing for the simulation of the strong interactions on a discrete space-time grid
What is Effective Field Theory?Another promising model is effective field theory, which provides a way to describe the low-energy behavior of QCD by constructing an effective Lagrangian that contains only the degrees of freedom relevant to a particular energy scale. This allows for the calculation of QCD observables in a systematic expansion in powers of a small parameter, such as the ratio of the quark mass to the QCD energy scale.
What is Chiral perturbation theory?Chiral perturbation theory is another effective field theory that focuses on the dynamics of light quarks, which are the building blocks of pions, the lightest hadrons. Chiral perturbation theory provides a systematic expansion for the interactions between pions and nucleons, and can be used to calculate the properties of these particles at low energies.
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Since water is much denser than air, deep-sea divers experience a much higher ambient pressure underwater. Each 10 meters of depth underwater adds another 1 atm to the ambient pressure experienced by the diver. (Note: this is in addition to the 1 atm ambient pressure at the surface of the water!) What pressure, in psi, is experienced by a diver 50.0 meters below the surface of the water
Answer:
If you are at sea level, each square inch of your surface is subjected to a force of 14.6 pounds. The pressure increases about one atmosphere for every 10 meters of water depth. At a depth of 5,000 meters the pressure will be approximately 500 atmospheres or 500 times greater than the pressure at sea level.
Explanation:
At sea level, a force of 14.6 pounds is applied to every square inch of your surface. For every 10 meters of sea depth, the pressure rises by approximately one atmosphere. The pressure will be about 500 atmospheres, or 500 times more than the pressure at sea level, at a depth of 5,000 meters.
What is pressure?Pressure is defined as the force applied perpendicularly to an object's surface divided by the surface area over which it is applied.
Pressure is the physical amount of force exerted on a particular area.
Pressure can be expressed as
Pressure = Force / area
There are three types of pressure.
Absolute pressureGauge pressureDifferential pressureThus, at sea level, a force of 14.6 pounds is applied to every square inch of your surface. For every 10 meters of sea depth, the pressure rises by approximately one atmosphere. The pressure will be about 500 atmospheres, or 500 times more than the pressure at sea level, at a depth of 5,000 meters.
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According to the principal of superposition,
Answer:
the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.
Explanation:
imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line
A cylinder of radius 1.34 cm and a spherical shell of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed wcyl to the spherical shell's angular speed wshl be?
Answer:
Explanation:
Moment of inertial of a UNIFORM cylinder is ½mR²
Moment of inertial of a spherical shell is ⅔mR²
Total kinetic energy is
KE = ½mv² + ½Iω²
KE = ½m(Rω)² + ½Iω²
KE = ½mR²ω² + ½Iω²
for the cylinder
KE = ½mR²ω₁² + ½(½mR²)ω₁²
KE = ¾m0.0134²ω₁²
for the sphere
KE = ½mR²ω₂² + ½(⅔mR²)ω₂²
KE = ⅚m0.0697²ω₂²
as the KE and mass are the same
¾m0.0134²ω₁² = ⅚m0.0697²ω₂²
¾0.0134²ω₁² = ⅚0.0697²ω₂²
ω₁²/ω₂² = ⅚0.0697²/¾0.0134²
ω₁/ω₂ = 0.0697√⅚ / 0.0134√¾
ω₁/ω₂ = 5.48285455...
Define a surface based temperature inversion
Answer:
temperature inversion, also called thermal inversion, a reversal of the normal behaviour of temperature in the troposphere (the region of the atmosphere nearest Earth's surface), in which a layer of cool air at the surface is overlain by a layer of warmer air. example <freezing rain
Write a short essay describing the six key features of Mesopotamia. Be sure to include how it advanced human society as a whole.
Mesopotamia, with its key features of specialization, government, cities, religion, trade, and written records, advanced human society by fostering economic growth, establishing governance structures, creating urban centers, facilitating cultural exchange, promoting trade networks, and revolutionizing communication and knowledge preservation through writing.
Mesopotamia, often referred to as the "cradle of civilization," possessed several key features that contributed to its advancement and influenced human society as a whole. These features include specialization, government, cities, religion, trade, and written records. Let's explore each of these key features and their significance.
Specialization: Mesopotamian society developed specialization, where individuals began to focus on specific occupations and trades. This led to the emergence of skilled craftsmen, farmers, priests, scribes, and merchants. Specialization allowed for the production of surplus goods, leading to economic growth and the establishment of a more complex society.
Government: Mesopotamia witnessed the development of early forms of government. Initially, city-states were governed by religious leaders known as priest-kings. Over time, as society grew more complex, secular leaders, such as kings, emerged to rule the city-states. These early forms of governance laid the foundation for later systems of government and administration.
Cities: Mesopotamia was characterized by the rise of urban centers. These cities served as political, economic, and cultural hubs. They were densely populated, with advanced infrastructure, including defensive walls, temples, markets, and residential areas. The cities of Mesopotamia, such as Ur, Uruk, and Babylon, provided the framework for the organization and development of early urban societies.
Religion: Religion played a central role in Mesopotamian society. The people of Mesopotamia believed in a pantheon of gods and goddesses and practiced polytheism. Temples were constructed as sacred spaces to honor and worship deities. Priests held significant influence, serving as intermediaries between the people and the divine. Religious beliefs and rituals provided a sense of identity, social cohesion, and moral guidance to the Mesopotamian community.
Trade: Mesopotamia's strategic location between major rivers, the Tigris and Euphrates, facilitated extensive trade networks. The abundance of resources, such as fertile land for agriculture, allowed for surplus production. This surplus was exchanged with neighboring regions, fostering trade and the establishment of commercial relationships. The exchange of goods and ideas through trade networks promoted cultural diffusion and contributed to the overall prosperity and interconnectedness of Mesopotamia.
Written Records: Mesopotamia is credited with the invention of writing, making it one of the earliest literate civilizations. Scribes used wedge-shaped marks known as cuneiform to record important information on clay tablets. The development of writing enabled the recording of laws, contracts, administrative documents, literature, and historical accounts. Written records not only facilitated communication and administration but also served as a means of preserving knowledge and passing it down through generations.
Collectively, these key features of Mesopotamia played a pivotal role in advancing human society as a whole. Specialization allowed for the efficient allocation of resources and the growth of economies. The establishment of early forms of government provided organization and stability to communities. Urbanization transformed social structures and fostered cultural and intellectual exchange. Religion served as a unifying force and provided a moral framework. Trade networks expanded horizons and facilitated the exchange of goods and ideas. Finally, the invention of writing revolutionized communication, education, and the preservation of knowledge.
Therefore, Mesopotamia's legacy as a cradle of civilization lies in its ability to establish foundations for complex societies, laying the groundwork for subsequent advancements in various aspects of human life.
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In the figure below, the net external force on the 30 kg mower is stated to be 52 N.
If the force of friction opposing the motion is 18 N, what force F (in N) is the person exerting on the mower? (Enter the magnitude.)
Suppose the mower is moving at 1.5 m/s when the force F is removed. How far (in m) will the mower go before stopping?
The mower will travel approximately 0.62 meters before coming to a stop.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position with respect to time, and it includes both the speed and direction of motion. In other words, velocity is a measure of how fast an object is moving and in what direction it is moving.
To find the force F exerted by the person on the mower, we must apply Newton's second law of motion, which states that an object's net force is equal to its mass multiplied by its acceleration:
F_net = m × a
where F_net is the net force, m is the mass of the object, and a is the acceleration.
In this case, the net external force is given as 52 N, and the force of friction opposing the motion is 18 N. So, the force F exerted by the person on the mower is:
F = F_net - F_friction
F = 52 N - 18 N
F = 34 N
Therefore, the person is exerting a force of 34 N on the mower.
Now, to find how far the mower will go before stopping, we can use the equation for constant acceleration:
d = (v_f² - v_i²) / (2a)
where d is the distance traveled, v_f is the final velocity (which is zero in this case), v_i is the initial velocity (1.5 m/s), and a is the acceleration.
The acceleration can be calculated by dividing the net force (F_net) by the mass of the mower (m):
a = F_net / m
a = 52 N / 30 kg
a = 1.73 m/s²
Now, we can plug in the values to get the distance traveled:
d = (0 - 1.5²) / (2 × 1.73)
d = 0.62 m
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If the
refractive index of benzere is 2.419,
what is the speed of light in benzene?
Answer:
\(v=1.24\times 10^8\ m/s\)
Explanation:
Given that,
The refractive index of benzene is 2.419
We need to find the speed of light in benzene. The ratio of speed of light in vacuum to the speed of light in the medium equals the refractive index. So,
\(n=\dfrac{c}{v}\\\\v=\dfrac{c}{n}\\\\v=\dfrac{3\times 10^8}{2.419}\\\\v=1.24\times 10^8\ m/s\)
So, the speed of light in bezene is \(1.24\times 10^8\ m/s\).
A thin layer of liquid with thickness h has a laminar velocity profile of u=Uo(2yh−y2h2) where Uo is the surface velocity and y is the distance from the wall along the thickness of the liquid. If the liquid thickness is 0.5 in and the flow rate per foot of channel is 1.25 gal/min, determine the surface velocity Uo
The surface velocity is approximately 2.07 m/s.
The average velocity of the liquid flow per unit depth,
Q/A = 1.25 [gal/min]/[1 ft x 0.5 in x (1/12) ft/in] = 10 [ft/min]
where Q is the flow rate and A is the cross-sectional area of the channel.
Use the laminar velocity profile to determine the velocity at the center of the channel (y=0),
u(y=0) = Uo(2(0) - 0^2)/(2h) = 0
Since there is no slip at the wall, the velocity at y=h/2,
u(y=h/2) = Uo(2(h/2) - (h/2)^2)/(h)
= Uo(2-h/2)
= 2Uo - Uh/2
Equating this to the average velocity,
2Uo - Uh/2 = 10 [ft/min]
Solving for Uo = (10 + Uh/2)/2
Uh = Ahu(y=h/2) = AhUo(2-h/2)/(h) = A*Uo(2-h/2)
Substituting A = 1 [ft^2] and h = 0.5 [in] = 0.042 [ft], we get:
Uh = Uo(2-0.042/2) = 0.979Uo
Uo = (10 + 0.979Uo/2)/2
Uo = 6.8 [ft/min] or 2.07 [m/s]
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You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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1. A 20.0 kg weight is hanging from a rope. What is the force of tension on the rope?
Explanation:
The tension on an object is equal to the mass of the object x gravitational force plus/minus the mass x acceleration. Tension Formula Questions: 1) There is a 5 kg mass hanging from a rope.
use scale drawing vector and find magnitude and direction of Sum of A+B
The magnitude of the sum of the two vectors is 20.22 m and the direction of the two vectors, A + B is 50⁰.
Magnitude of Sum of vector A+BThe magnitude of the sum of the two vectors is calculated as follows;
Bx = Bcosθ
By = Bsinθ
Bx = 15 m x cos(30) = 12.99 m
By = 15 x sin(30) = 7.5 m
Ax = 8 m x cos(90) = 0 m
Ay = 8 x sin(90) = 8 m
Ax + Bx = 0 + 12.99 m = 12.99 m
Ay + By = 8m + 7.5 m = 15.5 m
R = √12.99² + 15.5²
R = 20.22 m
Direction of the vectorstanθ = 15.5/12.99
tanθ = 1.19
θ = 50⁰
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Draw a free body diagram showing all forces acting on the air cart, including the extra
force that may be causing a discrepancy between your numbers.
A free body diagram is a visual representation of all the forces acting on an object.
What is a free body diagram?A free body diagram is a visual representation of all the forces acting on an object. It is a tool commonly used in physics to help analyze the motion of an object.
What are the forces acting?In the case of an air cart, the forces acting on the cart might include the force of gravity pulling the cart downward, the normal force of the surface supporting the cart pushing upward, and the force of air resistance acting against the cart as it moves through the air. There may also be other forces at play, depending on the specific situation, such as an applied force from a fan or a motor driving the cart forward.
If there is an extra force causing a discrepancy between your numbers, you would also include this force on the free body diagram, with an arrow representing the magnitude and direction of the force
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Using the differential equation modeling Newton's Law of Cooling dTdt=k(T−Te)dTdt=k(T−Te), Answer the following. Brewing Coffee: The brewing temperature of the water used is very important. It should be between 195 F and 205 F. The closer to 205 F the better. Boiling water (212 F) should never be used, as it will burn the coffee. Water that is less than 195 F will not extract properly. On the other hand, coffee that has a temperature of 205 F is too hot to drink. Coffee is best when it is served at a temperature of 140 F to 155 F (the Goldilocks range). Suppose coffee is initially brewed at 205 F and the room temperature is 70 F. Determine the value of kk if the temperature of the coffee drops from 205 F to 200 F in the first two minutes after brewing. Round answer to 4 decimal places.
Answer:
k = -3.1450 10⁻⁴ s⁻¹
Explanation:
In this exercise we are given the equation that describes the cooling process
dT / dt = k (T -)
Let's solve is this equation,
dT / (T-T_ {e}) = k dt
change of variable for integration
T -T_{e} = T ’
dT = dT '
∫ dT ’/ T’ = k ∫ dt
we integrate
ln T ’= k t
we change to the initial variables
ln (T - T_{e}) = k t
Let's evaluate from the lower limit T = T for t = 0 to the upper limit T = T₀ for time t
ln (T₀ -T_{e}) - ln (T -T_{e}) = k (t-0)
we simplify
ln (T₀ -T_{e} / T -T_{e}) = k t
k = ln (T₀ -T_{e}) / (T-Te) / t
In the exercise they indicate that the temperature T = 205 F, the ambient temperature is T_{e} = 70F, the temperature to which T₀ = 200 F falls in a time t = 2 min = 120 s
Let's calculate
k = ln [(200- 70) / (205 -70)] / 120
k = -0.0377403 / 120
k = -3.1450 10⁻⁴ s⁻¹
Which statements correctly describe matter? Select all that apply.
A. Matter is made up of atoms.
B. Matter is a measure of the amount of material in
an object.
C. Matter may exist as a solid, liquid, or gas.
D. Matter forms when particles chemically bond
together.
E. Matter includes both elements and compounds.
Answer:
D
I hope these is correct
A matter may exist as a solid, liquid, or gas. Matter is made up of atoms. The correct options are A and C.
What is a matter?In physical laws and general chemistry, matter is any material that has mass and occupies space by having volume.
It has something to do with weight. Atoms, which are made up of subatomic particles, make up the vast majority of matter in the universe.
Even all organisms is made up of matter, whether they are living or non living.
Matter is significant as though it build up all the things present in person's environment. Matter can neither be generated or be destroyed as it can only be transmuted into some another form.
The quantity of matter in a physical existence is renowned as mass. When a net force is exerted, it also characterize the body's inertia, or resistance to acceleration.
A substance can exist as a solid, liquid, or gas. Atoms are the building blocks of matter.
Thus, the correct options are A and C.
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This week we discuss injuries to the head, neck and spine. There are so many long term affects of so many different head injuries. One of the biggest changes to head injuries that we have seen in the last decade is the implementation of concussion protocol. No matter the age or activity, the medical world has a recommended protocol for possible concussions and any head injury.
This weeks assignment. Research concussion protocol and submit the following in a written paper format.
-What is a concussion?
-Why do we need to have a concussion protocol?
-Who needs a concussion protocol? This is in regards to caring for injuries, not the injured person itself,
-Is there a standard concussion protocol should you follow? What is it?
-At a minimum, concussion protocol steps should include the what people in the process?
-Have you or anyone you know had to follow concussion protocol for a head injury? Tell me about it.
This is due Sunday I want to get started on it please someone help me ?
Answer:
Concussion is the most common type of mild traumatic brain injury and can have serious consequences
Explanation:
B6. [9 Marks] 30⁰ 20140X20 DE Ofe OTO A stainless-steel orthodontic wire is applied to a tooth as shown in the diagram below. The wire has an unstretched length of 3.1 cm and a diameter of 0.22 mm. If the wire is stretched by 0.10 mm during the procedure, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for stainless-steel is 18 × 10¹0 Nm-².
The magnitude of the force on the tooth is approximately 0.022 N.
To find the magnitude and direction of the force on the tooth, we can use Hooke's Law, which states that the force exerted on an object is directly proportional to the change in length of a material when it is stretched or compressed.
First, we need to calculate the strain (ε) of the stainless-steel wire.
Strain is defined as the change in length divided by the original length:
ε = ΔL / L₀
Given that the change in length (ΔL) is 0.10 mm \((0.10 \times 10^{-3} m)\) and the unstretched length (L₀) is 3.1 cm \((3.1 \times 10^{-2} m)\), we can calculate the strain:
\(\epsilon=(0.10 \times 10^{-3} m)/(3.1 \times 10^{-2} m)=0.003225\)
Next, we can use Young's modulus (E) to calculate the stress (σ) in the wire.
Stress is defined as the force per unit area:
σ = E * ε
Given that Young's modulus (E) for stainless-steel is 18 × 10¹⁰ N/m², we can calculate the stress:
σ = (18 × 10¹⁰ N/m²) * 0.003225 = 5.805 × 10⁸ N/m²
Now, we can find the force (F) on the tooth by multiplying the stress by the cross-sectional area (A) of the wire:
F = σ * A
The cross-sectional area (A) can be calculated using the formula for the area of a circle:
A = π * (d/2)²
Given that the diameter (d) of the wire is 0.22 mm\((0.22 \times 10^{-3} m)\), we can calculate the cross-sectional area:
\(A = \pi * (0.22 \times 10^-3 m / 2)^{2} = 3.802 \times 10^{-8} m^2\)
Finally, we can calculate the force:
\(F = (5.805 \times 10^{8} N/m^{2}) * (3.802 \times 10^-8 m^{2}) \approx 2.206 \times 10^{-2} N\)
Therefore, the magnitude of the force on the tooth is approximately 0.022 N.
Since the wire is stretched, the force is pulling the tooth in the direction opposite to the stretching.
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The 10-lb block A attains a velocity of 2ft/s in 5 seconds, starting from rest. Determine the tension in the cord and the coefficient of kinetic friction between block A and the horizontal plane. Neglect the weight of the pulley. Block B has a weight of 8 lb. Please work on this by using the principle of linear impulse-momentum
Answer:
Explanation:
Let T be the tension in the cord.
Impulse by cord = change in momentum of block A .
T x 5s = 10 ( 2 -0) = 20
T = 4 poundal .
acceleration of block B = 2 / 5 = 0.4 m /s²
Net force applied on A = m ( g + a ) where m is mass of block B , a is acceleration of block B .
= 8 ( 32 + .4 ) = 259.2 poundal
Frictional force on block A = 259.2 - 4 = 255.2 poundal
μ x 10 x 32 = 255.2
320μ = 255.2
μ =0 .8 .
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Homework: Writing an Argument About
Australia's Skin Cancer Rate
G
4
You now have enough evidence to explain why Australia's skin cancer rate is so high. Review your
argument from Chapter 2 and think about how you will convince the AHA that both Claim 2 and
Claim 3 are accurate. You will use your completed Reasoning Tool from Activity 3 to revise and add to
your argument.
Question: Why is the skin cancer rate in Australia so high?
A uniform horizontal rod of mass 1.5 kg and length 1.9 m is free to pivot about one end as shown. The moment of inertia of the rod about an axis perpendicular to the rod and through the center of mass is given by
m.02
I=
12
930.
-pivot
1.5 kg
1.9 m -
If a 1.5 N force at an angle of 95° to the hot-izontal acts on the rod as shown, what is the magnitude of the resulting angular acceleration about the pivot point? The acceleration of gravity is 9.8 m/s?
Answer in units of rad/s?
The magnitude of the resulting angular acceleration about the pivot point is approximately 0.0021 rad/s^2.
Magnitude of the resulting angular accelerationTo solve this problem, we need to use the equation for the torque on a rigid body:
τ = Iα
where τ is the torque, I is the moment of inertia, and α is the angular acceleration. We can also use the fact that the torque is given by:
τ = r × F
where r is the vector from the pivot point to the point of application of the force, and F is the force. The vector cross product r × F gives the torque about the pivot point.
First, we need to find the vector r. Since the force is acting at an angle of 95° to the horizontal, the vertical component of the force is given by:
Fy = F sin(95°) = 1.5 sin(95°) ≈ 0.15 N
The horizontal component of the force is given by:
Fx = F cos(95°) = 1.5 cos(95°) ≈ 0.04 N
The vector r points vertically downward from the pivot point and has a magnitude equal to half the length of the rod:
|r| = 0.5(1.9 m) = 0.95 m
Therefore, the vector r is given by:
r = -0.95j
where j is the unit vector in the vertical direction.
The torque about the pivot point is given by:
τ = r × F = (-0.95j) × (0.04i + 0.15j) = -0.15k
where i is the unit vector in the horizontal direction and k is the unit vector in the direction perpendicular to the plane of the rod and pointing out of the page.
Substituting the moment of inertia and torque into the equation for angular acceleration, we have:
α = τ/I = (-0.15k)/(930.02/12) ≈ -0.0021 rad/s^2
Therefore, the magnitude of the resulting angular acceleration about the pivot point is approximately 0.0021 rad/s^2.
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