It would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.
What is average speed?Average speed is the measure of an object's overall rate of motion in a given direction. It is calculated by dividing the total distance traveled by the total time taken. Average speed can be calculated over a certain period of time, or it can be calculated over the entire duration of a journey.
At an average speed of 45 km/hour, a hummingbird would travel 45 km in one hour.
Therefore, it would take 18 hours to travel 18 x 45 = 810 km across the Gulf of Mexico.
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sort these stellar objects by their total power output per unit surface area. not all the objects are on the interactive, so determine the trend first, then sort the objects.
The stellar objects sorted by their total power output per unit surface area,
a brown dwarf with T= 1000 K
a K star with T= 4400 K
the Sun, a G star with T= 5800 K
an F star with T= 7000 K
What is power?Power is defined in physics as the quantity of energy transported or transformed per unit time. The watt is the unit of power in the International System of Units, equivalent to one joule per second. Power is also referred to as activity in ancient writings. A scalar quantity is power. Power may be defined as the pace at which work is completed in a given amount of time. Watt (W) is the SI unit of power, which is joules per second (J/s). Horsepower (hp), which is approximately equivalent to 745.7 watts, is sometimes used to describe the power of motor vehicles and other machinery.
Here,
The star objects are arranged in order of total power output per unit surface area,
a brown dwarf with T= 1000 K
a K star with T= 4400 K
the Sun, a G star with T= 5800 K
an F star with T= 7000 K
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a closed piston-cylinder device initially contains air at an absolute pressure of 3 bar, temperature of 350 k, and occupies a volume of 0.2 m3 (state 1). heat transfer occurs to the air slowly until the absolute pressure increases to 5 bar and air occupies a volume of 0.6 m3 (state 2). assume that the pressure increases linearly with volume. assume that heat transfer occurs at a boundary temperature of 2000 k. molecular weight of air
According to the problem the molecular weight of air in this process is 0.8316 g.
What is molecular weight?Molecular weight is a measurement used to describe the mass of an individual molecule. It is expressed in daltons (Da) or atomic mass units (amu). It is calculated by adding together all of the atomic masses of the atoms that make up the molecule.
The first law of thermodynamics states that the change in the internal energy of a system is equal to the heat added to the system plus the work done on or by the system.
Since there is no work being done in this process, we can write:
$\Delta U=Q$
We can calculate the change in internal energy using:
$\Delta U=nC_v\Delta T$, where $n$ is the number of moles and $C_v$ is the specific heat capacity at constant volume.
We can calculate $n$ using:
$n=PV/RT$, where $P$ is pressure, $V$ is volume, $R$ is the universal gas constant, and $T$ is temperature.
At state 1, n = (3 bar)(0.2 m3)/[(8.31 J/mol K)(350 K)] = 0.0099 mol
At state 2, n = (5 bar)(0.6 m3)/[(8.31 J/mol K)(350 K)] = 0.0297 mol
The molecular weight of air can be calculated as follows:
Molecular weight of air = 28 g/mol x n (moles) = 28 g/mol x 0.0297 mol = 0.8316 g
Therefore, the molecular weight of air in this process is 0.8316 g.
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ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. If a vector that is 3 cm long represents 30 km/h, what velocity does a 5 cm long vector which is drawn using the same scale represent?
50kmh
60kmh
100kmh
Below are several statements. Each statement can best be classified as either a law or a theory, Please select each statement that is best classified as a law. a. When a gas rises in temperature, we believe that it is due to increased motion of the molecules. b. Gravity explains why planets remain in their orbits.
c. There is strong evidence to suggest that earthquakes are due to moving parts of the earth's crust that we call plates d. Force equals mass times acceleration e. When we see several layers of rock, the lower layers are older. f. With all other conditions remaining stable, we observe that as the pressure of a gas increases, the temperature also rises. g. Likewise, when the temperature rises, the pressure rises. h. Kepler developed a set of rules to describe the motion of the planets. i. Based on the available data and our current understanding, it seems that the Universe began with a sudden expansion of space
Below are several statements. Since scientific law is a statement of the results of the relationship between facts and usually uses a formula or mathematical equation, the statement that is best classified as the law is
a. When a gas rises in temperature, we believe that it is due to the increased motion of the molecules.
d. Force equals mass times acceleration.
f. With all other conditions remaining stable, we observe that as the pressure of a gas increases, the temperature also rises.
g. Likewise, when the temperature rises, the pressure rises.
A scientific law is a statement in the world of science that starts from a hypothesis and is proven by experiments involving theoretical hypotheses. Experimental results can support the hypothesis theory and can prove its truth. Usually, this is reinforced by mathematic formulas. Historically, the laws of science have been inspired by scientific experiments and created on the basis of critical thinking or by some chance circumstances.
While a scientific theory is a concept or construction that is related to one another, with an emphasis on boundaries, and systematic prepositions, and carried out based on the presence of symptoms. Because the existing symptoms can be used to determine the relationship between one variable and another, according to the expected goals.
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What blew up billions of years ago in space
Answer:
i'am a french personn i use a traductor
Explanation:
Des astronomes ont débusqué une explosion cosmique vieille de 10,5 milliards d'années. Une énorme explosion cosmique vieille de 10,5 milliards d'années: des astronomes annoncent mardi avoir découvert la supernova, une étoile en fin de vie, la plus lointaine jamais détectée
the electric fields (which are vectors) produced by multiple charges add (meaning the vectors add since electric fields are vectors) to produce a total electric field
"The electric fields (which are vectors) produced by multiple charges add (meaning vector addition)."The total electric field is the sum of the two fields if there are two electric fields, one created by a positive charge and the other produced by a negative charge.
This means that if you have two electric fields, one produced by a positive charge and one produced by a negative charge, the total electric field is the sum of the two fields.
The direction of the total field is determined by the direction of the individual electric fields, and the strength of the total field is determined by the magnitude of the individual fields.
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which of the following diagrams best shows the charge distribution prior to a cloud-to-ground lightning strike?
Electrical breakdown between the small positive charge region close to the cloud's base and the negative charge region in the middle of the cloud typically causes a burst of cloud-to-ground lightning.
There are too numerous and unreliable factors that can lead to the production or buildup of charge in the clouds. However, during thunderstorms, strong air currents divide positive and negative charges, resulting in clouds with rain in the lower sections and ice crystals in the upper regions.
There is always a charge imbalance between the atmosphere and the ground during thunderstorms during the wet season, which is partially released through electron movement in the form of "cloud-to-ground" lightning.
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Find the following for path D in Figure 2.59:
(a) The distance traveled. (b) The magnitude of the displacement from start to finish. (c) The displacement from start to finish.
Answer choise:
A. 8 m
B. 4 m
C. -4 m
(a) A total distance of 8 + 4 = 12 metres. (b) The displacement of C is 8m in magnitude. (c) The displacement is (8m)i from beginning to end.
a) Point The first step of C's journey begins at x=2 and ends at x=10, covering a distance of (10-2) = 8m. In the second step, C travels to x=8 and returns to x=10m. A distance of 2 is equal to 2 * (20-8) = 4 metres.
= 8+4=12 metres is the total distance travelled.
b) The displacement is the distance between two locations in a figure that is the shortest. In the example in the picture, C begins its journey at x=2m and ends at x=10m; the distance between these two points is (10-2) = 8m, therefore the displacement of C is 8m.
C) We now understand that the displacement has a magnitude of 8m and a direction parallel to the positive x-axis.
From beginning to end, there is a (8m)i displacement.
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If you know the _______________ of an object, you can determine the _________________ of light that the object emits.
A) mass; peak wavelength
B)temperature; peak wavelength
C)peak wavelength; mass
D)velocity; mass
Answer:
I think a is the correct answer
agriculture 1 of 1 question 2 with 1 blank air 1 of 1 question 3 with 1 blank battery 1 of 1 question 4 with 1 blank climate 1 of 1 question 5 with 1 blank electric energy 1 of 1 question 6 with 1 blank gasoline 1 of 1 question 7 with 1 blank material 1 of 1 question 8 with 1 blank ocean 1 of 1 question 9 with 1 blank option 1 of 1 question 10 with 1 blank planet 1 of 1 question 11 with 1 blank problem 1 of 1 question 12 with 1 blank recycling 1 of 1 question 13 with 1 blank to reduce 1 of 1 question 14 with 1 blank science 1 of 1 question 15 with 1 blank traffic 1 of 1
The frequency and severity of heatwaves, for instance, would increase. According to the U.N. climate science panel, if global warming increases by 1.5°C or more, extreme heat events that occur once every ten years in a climate unaffected by human activity would occur 4.1 times and 5.6 times, respectively (IPCC).
Meaning of a 1.5 degree increase in global warming?A 1.5°C emission route is one that offers a one-in-two to two-in-three likelihood that warming will either stay below 1.5°C or revert to 1.5°C by roughly 2100 after an overshoot, based on the present understanding of the climate response.The frequency and severity of heatwaves, for instance, would increase. According to the U.N. climate science panel, if global warming increases by 1.5°C or more, extreme heat events that occur once every ten years in a climate unaffected by human activity would occur 4.1 times and 5.6 times, respectively (IPCC).To learn more about global warming refer to:
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____ is to genetic influences as ___ is to environmental influences
"Nature" is to genetic influences as "Nurture" is to environmental influences.
Explain the difference of Nature and Nurture?The phrase "nature vs. nurture" refers to the debate over how much "nature" or "nurture" contributes to an individual's traits.
While "nurture" can relate to upbringing as well as life experience more broadly, "nature" refers to innate biological characteristics (specifically genetics).
The way the phrase "nature vs. nurture" is written gives the impression that either a person's genes or their upbringing determine their personality traits, IQ, preferences, and other qualities. Scientists have demonstrated that reality is more complex and that these as well as other elements can contribute to the explanation of the wide range of individual differences.Thus, theories emphasizing the importance of either education and experience but rather biological nature had also risen and fallen in popularity throughout the modern era, with genetics increasingly recognized as a key factor in determining uniqueness in the latter 20th century and even beyond.
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our solar system group of answer choices is centrally positioned in the milky way galaxy. is held together by the gravitational pulls of jupiter and saturn. currently consists of nine planets. completes one rotation around the center of the milky way every 250 million years.
Our solar system currently consists of nine planets. completes one rotation around the centre of the milky way every 250 million years. The correct option is (C).
Around 4.5 billion years ago, gravity pulled a cloud of gas and dust together, forming our solar system.
The Sun is the parent star of the solar system and by far its most important element. It is categorised as a yellow dwarf with a medium size.
The Sun is the centre of the solar system, which also includes the eight planets, their 162 known moons, the three currently known dwarf planets, each with four known moons, and thousands of other minor bodies. Asteroids, meteoroids, comets, and interplanetary dust fall under this final category.
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Match the following terms and definitions.
1. ratio of densities
2. measure of pull of gravity
3. mass divided by volume
4. Archimedes' Principle
__specific gravity
__weight
__density
__buoyancy
1. ratio of densities-> specific gravity 2. measure of pull of gravity-> weight 3.mass divided by volume-> density 4. Archimedes' Principle-> buoyancy
The ratio of densities is also called as Specific gravity which is used for comparing two different substances of different densities take the example of water and milk both have different densities and that ratio is called specific gravity. And it does not have any SI Unit as it is a simple ratio.
The weight is defined as the pulling of the mass by gravity or the force exerted by a mass on the surface. which has SI Unit as N.
Density is the mass per unit of volume so it makes a simple formula as Mass divided by volume which has si unit as kg/m3.
Buoyancy is also a force a body exerts on the surface of the liquid which is based upon Archimedes' Principle.
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Identify which collisions are elastic (there is more than on choice below.
A car collision where two car stick together.
Ball of sticky tape hitting a billiard ball.
Two bowling balls collide of equal mass.
A steel cube sliding on a friction-less surface collide with another steel cube twice it's size and kinetic energy is not lost.
Answer:
C. bowling balls
D. steel cubes
Explanation:
You want to identify the elastic collisions from the list ...
a car collision where the cars stick togethera ball of sticky tape hitting a billiard ball\two bowling balls of equal masstwo steel cubes on a friction-less surface (no energy loss)Elastic collisionAn elastic collision is one in which there is no loss of kinetic energy. Both kinetic energy and momentum are conserved.
In general, a collision is not elastic if energy is dissipated as sound, light, heat, or deformation of material.
ChoicesOf the offered choices, the first two (car collision, sticky tape collision) will result in deformation of one or more of the colliding objects. That deformation dissipates energy, so the kinetic energy after the collision will be different from before the collision.
The collision of (C) bowling balls, and (D) steel cubes are elastic collisions. Neither results in deformation of the colliding objects.
__
Additional comment
Clearly, any sort of collision can be engineered with enough starting energy to cause the colliding objects to disintegrate. Here, we're primarily concerned with collisions that allow the integrity of the colliding objects to be maintained (except in crashed cars).
The collisions are more or less assumed to be "ideal" in that there is no significant energy loss due to sound or vibration of the objects involved.
a frictionless pulley has the shape of a uniform solid disk of mass 4.00 kg and radius 17.0 cm . a 2.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley(figure 1), and the stone is released from rest. as it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. how far must the stone fall so that the pulley has 4.30 j of kinetic energy?
Since speed is 0 when at rest. Only while moving does an object have kinetic energy.
Find kinetic energy?The power behind motion is called kinetic energy.
KE = (0.5) m v2 is the equation for kinetic energy.
m denotes the object's mass, and v its speed.
An object at rest has no kinetic energy because it is at rest because its speed is zero, whereas an object moving at some speed and mass will have kinetic energy.
since speed is 0 when at rest. Only while moving does an object have kinetic energy.
An object at rest has no kinetic energy because it is at rest because its speed is zero, whereas an object moving at some speed and mass will have kinetic energy.
Since speed is 0 when at rest. Only while moving does an object have kinetic energy.
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Describe the current at points X, Y and Z on the circuit.
At point X, the current is the same as the current entering the circuit, which is determined by the voltage of the power source and the resistance of the components in the circuit.
Describe the current at points X, Y and Z on the circuit?At point Y, the current is the same as the current leaving the circuit, which is determined by the voltage of the power source and the resistance of the components in the circuit. At point Z, the current is the sum of the currents at points X and Y, since the current at point Z is the sum of all the currents at the points entering and leaving the circuit.At point X, the current is the current that flows into the circuit at that point. This current will be determined by the total resistance in the circuit. If the total resistance of the circuit is low, then the current at point X will be higher. On the other hand, if the total resistance of the circuit is high, then the current at point X will be lower.At point Y, the current is the current that flows through the circuit between points X and Y. This current will be determined by the resistance of the components between X and Y. If the resistances of the components between X and Y are high, then the current at point Y will be lower. On the other hand, if the resistances of the components between X and Y are low, then the current at point Y will be higher.At point Z, the current is the current that flows out of the circuit at that point. This current will be determined by the total resistance in the circuit. If the total resistance of the circuit is low, then the current at point Z will be lower. On the other hand, if the total resistance of the circuit is high, then the current at point Z will be higher.To learn more about Electric Circuits refer to:
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A soft ball pitcher applies 4N of force to a softball for 0.5 seconds. What is the objects momentum
Answer:
The answer is 2 kgm/s.
Explanation:
We see that Impulse = FT = mv but in this case..
we have only a force and time which, of course happens to be the Impulse and NOT the momentum.
I = FT = P
(4)(0.5)
= 2 kgm/s or Ns?
Well the answer in fact is 2 kgm/s.
That is in fact the CORRECT answer not that it can not be identified. It can and is 2 kgm/s since we are talking about Momentum
which of the following are responsible for the repulsive force between two identically charged atoms?
B: Electrostatic force is responsible for the repulsive force between two atoms charged identically.
The electrostatic force is an attractive force as well as a repulsive force induced by the electric charge particles. The electrostatic force is also called Columb's force. The Columb attraction would be named after Charles-Augustin de Coulomb, a French scientist. One of nature's four basic forces however is electrostatic force.
Between two charges placed at a distance, there exists the electrostatic force. The magnitude of the electrostatic force relies on the magnitude of each charge and the distance between them. When two identically charged objects (both with positive charges or both with two negative charges) are brought together, then the same charges repel each other.
"
Complete question
which of the following are responsible for the repulsive force between two identically charged atoms?
A: force of attraction
B: electrostatic force
"
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1. Four traveling waves are described by the following equations, where all quantities are measured in SI units and y represents the displacement.
I: y = 0.12 cos(3x + 2t)
II: y = 0.15 sin(6x - 3t)
III: y = 0.23 cos(3x + 6t)
IV: y = -0.29 sin(1.5x - t)
Which of these waves have the same speed?
2. Four traveling waves are described by the following equations, where all quantities are measured in SI units and y represents the displacement.
I: y = 0.12 cos(3x - 21t)
II: y = 0.15 sin(6x + 42t)
III: y = 0.13 cos(6x + 21t)
IV: y = -0.27 sin(3x - 42t)
Which of these waves have the same period?
I and III have the same period, and also II and IV have the same period.
The equation of wave is given by;
y = Asin(kx - ωt)
or
y = Acos(kx - ωt)
(depending or the waveform)
where;
A denotes the amplitude of the wave in meters
y(x,t) is the displacement in meters
k = 2π/λ is the propagation constant
ω = 2π/T is the expression for angular frequency in radian per seconds
T = 2π/ω;
T is the time period in seconds
+ve(positive) and -ve(negative) signs show the direction of the wave.
I) Comparing y = 0.12cos(3x - 21t) with the general equation, we get the values as;
ωt = 21t
ω = 21
2π/T = 21
T = 2π/21 seconds
II) Comparing y = 0.15 sin(6x + 42t) with the general equation, , we get the values as;
ωt = 42t
ω = 42
2π/T = 42
T = 2π/42 seconds
III) Comparing y = 0.13 cos(6x + 21t) with the general equation, we get the values as;
ωt = 21t
ω = 21
2π/T = 21
T = 2π/21 seconds
IV) Comparing y = -0.23 sin(3x - 42t) with the general equation, we get the values as:
ωt = 42t
ω = 42
2π/T = 42
T = 2π/42 seconds
Therefore, we can state that I and III have the same period, II and IV have the same period.
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Figure 13-27 gives the gravitational acceleration ag for four planets as a function of the radial distance r from the center of the planet, starting al the surface of the planet (at radius R1,R2,R,or R4). Plots 1 and 2 coincide for r greater than equal to R2; plots3 and 4 coincide for r greater than equal toR4. Rank the four planets according lo(a) mass and (h) mass per unit volume. greatest first.
1 > 2 > 3 > 4 will be the order of the planets As per mass per unit volume and stats are given. As the density of the planet is directly proportional to its mass of the planet.
The force of attraction of two bodies is directly proportional to the products of their masses whereas it is inversely proportional to that of the distance between them here we use the constant Newton's gravitational Universal Constant.
So the more the mass more the attraction and more the distance the less attraction will be or vice-versa.
And shown in the Image attached how density is decreasing from planet 1 to planet 4 so the order of masses will also be the same.
And for bodies that have the same density would be evaluated on the basis of the distance between them.
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the differential energy balance for a steady-state, open-system with one- dimensional flow across the boundaries, a single inlet, a single outlet, and negligible variation of height, density, and enthalpy across either inlet or outlet area is
The differential energy balance for a steady-state, open-system with one dimensional flow across the boundaries, a single inlet, a single outlet, and negligible variation of height, density, and enthalpy across either inlet or outlet area is gdz+αvdv+ dH=δQ+δWs.
where δQ and δWs denote inexact differentials (path dependent) of Q and Ws and the rest of the notation is consistent with the notation used in the lecture
Energy BalancesIn addition to analyzing the transfer of mass, chemical engineers are also concerned
with the transfer of energy. Mass transfer problems are typically coupled with energy
transfer. General property of energy balance is the same as mass balance.
The first law of thermodynamics is a basis for energy balance, and it states that energy
is neither created nor destroyed. Energy can only be converted between forms.
Energy can be input or output from a system by:
- Mass transfer (mass carries energy),
- Its heat Q ; energy flow in response to ΔT (temperature difference),
- Its work W ; energy flow in response to any driving force besides ΔT , e.g. Force,
torque, voltage difference.
System’s mass accumulates energy as kinetic energy Ek , potential energy Ep , internal
energy U.
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The momentum of an object is determined to be 7.2 X 10^-3
The equivalent unit of the momentum is 7.2 g m/s.
What is the momentum?We have to note that the momentum of the object is determined as the product of the mass and the velocity of the object. The reason why we say that the momentum is a vector is because it has the direction of the velocity of the object.
We know that the unit of the momentum of the object can be said to be the kilogram meter per second given the dimensions of the momentum. we can be able to obtain an equivalent unit when we convert the given value of 7.2 X 10^-3 Kg m/s.
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Missing parts;
The momentum of an object is determined to be 7.2 X 10-3 kg m/s. Express this quantity as provider or use any equivalent unit.
wooden block floats in water, and a steel object is attached to the bottom of the block by a string as in figure -oq14.3. if the block remains floating, which of the follow-statements are valid? (choose all correct statements.) the buoyant force on the steel object is equal to its *eight. (b) the buoyant force on the block is equal to its weight. (c) the tension in the string is equal to the weight eithe steel object. (d) the tension in the string is less than weight of the steel object. (e) the buoyant force on the ehckis equal to the volume of water it displaces.
The buoyant force on the steel object is equal to its weight. The tension in the string is less than weight of the steel object. The buoyant force on the ehckis equal to the volume of water it displaces.
What is meant by weight?
A force is weight. The Newton is the metric unit of force, and it moves at a speed of 1 metre per second2.The gravitational force that pulls a body toward the earth or another celestial body; it is equal to the mass multiplied by the local gravitational acceleration.Weight is the gravitational force that pulls objects toward the centre of the Earth. The resulting force that pulls a mass toward Earth is known as gravity. In contrast to gravitational force, which occurs between any two masses, this only occurs between Earth and a mass.Weight, which is expressed in newtons, is a unit of measurement for the gravitational force acting on an object.To learn more about weight refer to
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two wooden members of uniform rectangular cross section are joined by the simple glued scarf splice shown. knowing that the maximum allowable shearing stress in the glued splice is 620 kpa, determine (a) the largest load p that can be safely applied, (b) the corresponding tensile stress in the splice.
The corresponding tensile stress in the splice is 1240 kPa.
What is tensile stress?Tensile stress is a type of mechanical stress that occurs when an object is pulled or stretched. It is the opposite of compressive stress, which occurs when an object is pushed or compressed.
Given:
Maximum allowable shearing stress in the glued splice, τ_allowable = 620 kPa.
(a) Largest load P that can be safely applied:
The maximum loading capacity of a scarf joint is determined by the allowable shear stress, τ_allowable. The load P is related to the maximum allowable shear stress by the following equation,
P = 2Aτ_allowable
where A is the cross sectional area of either member of the joint.
Therefore, P = 2*A*τ_allowable
= 2*A*620 kPa
= 1240 A (kN)
Hence, the largest load P that can be safely applied is 1240 A (kN).
(b) Corresponding tensile stress in the splice:
The tensile stress in the splice is related to the load P and cross sectional
area A by the following equation, σ = P/A.
Therefore, σ = 1240 A/A = 1240 kPa.
Hence, the corresponding tensile stress in the splice is 1240 kPa.
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car weighing 130 kn when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). the cable has an effective 2 cross-section car weighing 130 kn when fully loaded is pulled slowly up a steep inclined track by a steel cable (see figure). the cable has an effective 2 cross-section
The cable has an effective 2 cross-section car weighing 130 km when fully loaded is pulled slowly up a steep inclined track by a steel cable.
What is the history of car?The Benz Patent-Motorwagen, created by German inventor Carl Benz, was the first automobile. The 20th century saw the widespread availability of automobiles . The 1908 Model T, an American automobile produced by the Ford Motor Company, was one of the first vehicles that the average person could purchase. In the US, where they quickly displaced horse-drawn carriages, cars became commonplace. The market for vehicles did not pick up until the end of World War II in Europe and other regions of the world. The automobile is seen as a crucial component of the modern economy.
Controls are available for driving, parking, passenger comfort, and a number of lighting in automobiles. Vehicles have steadily become more complicated over the years as more features and controls have been introduced. These include GPS systems, air conditioning, and rearview cameras.
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three solid plastic cylinders all have radius 2.45 cm and length 6.36 cm. find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.3 nC/m2 everywhere on its surface. Cylinder (b) carries charge with uniform density 15.3 nC/m2 on its curved lateral surface only. Cylinder (c) carries charge with uniform density 490 nC/m3 throughout the plastic.
The charge on cylinder (a) with the given uniform density is calculated to be 0.16366 m².
The charge on cylinder (b) with uniform density on curved lateral surface only is calculated to be 0.1499 m².
The charge on cylinder (c) with the given uniform density is calculated to be 0.049 nc.
Radius of the cylinder = 2.45 cm = 0.0245 m
Length = 6.36 cm = 0.0636 m
Charge density λ = 15.3 nC/m²
Surface area of the cylinder = 2π r L + 2π r² = 2π × 0.0245 × 0.0636 + 2π × 0.0245 m² = 0.0098 + 0.15386 m² = 0.16366 m²
To find the charge, we know the relation as, Q = λ A = 15.3 × 0.16366 = 2.51 nc.
The charge on cylinder (b) with uniform density on curved lateral surface is
Here, A = 2π r L = 0.0098 m²
Q = λ A = 15.3 × 0.0098 = 0.1499 nc
The charge on cylinder (c) with uniform density on uniform density is 490× 0.0636 = 31.164 × 2π r = 0.049 nc
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Two balls, of masses m and 2m, travelling in a vacuum with initial velocities 2v and v
respectively, collide with each other head-on, as shown.
Initial,
mass m, velocity 2v to the right
mass 2m, velocity v to the left
After the collision, the ball of mass m rebounds to the left with velocity v.
What is the loss of kinetic energy in the collision?
Answer: 3/2mv^2
After the collision, the ball of mass m rebounds to the left with velocity v.
9/4mv² is the loss of kinetic energy in the collision.
What is collision?
When two bodies such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when connected, or a falling object and a floor abruptly and violently collide, this is referred to as a collision, also known as an impact.
What is kinetic energy?
The energy of motion, or kinetic energy, can be observed in the movement of an item or a subatomic particle. Every moving object and individual particle contains kinetic energy. When something moves, like when a person walks, a baseball flies, a piece of food falls off a table, or a charged particle moves in an electric field, it is exhibiting kinetic energy.
initials : m 1 =m ,m 2=2m,u1=2v,u 2 =−v
after collision: v 1 =−v
using conservation of linear momentum:
m1u1+m2u2=m1v1+m2v2
2mv−2mv=−mv+2mv2
v2 = V/2
Initial kinetic energy=m1 u²₁/2+ m2 u²₂/2= 3mv²
Initial kinetic energy=m1 v²₁/2+m2 v²₂/2 = 3/4 mv²
loss in Kinetic Energy=InitialKE−FinalKE
9/4mv²/2 = 3/2mv²
Therefore, collision, the ball of mass m rebounds to the left with velocity v. 9/4mv² is the loss of kinetic energy in the collision.
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five point charges placed on a straight line, at intervals d= 2 cm. We give Q3=Q5 = 8C and Q4 = 4 . For what values of q1 and q2 is the resultant electric force exerted on each of the other three charges zero?
The values of q1 and q2 in which the resultant electric force exerted on each of the other three charges zero is - 4C.
What is the value of q1 and q2?
The value of charges q1 and q2 is calculated by applying the formula for electric force as shown below.
F = (kqₙqₓ) / (d²)
where;
K is Coulomb's constantq is the magnitude of the chargesd is the distance between the chargesIf the force exerted on each of the other three charges is zero, then
F₁₃ + F₃₄ = 0
F₂₃ + F₃₄ = 0
F₁₃ = (k x q₁ x 8) / (d²)
F₂₃ = (k x q₂ x 8 ) / (d²)
F₃₄ = (k x 8 x 4 ) / (d²)
F₁₃ = - F₃₄
(k x q₁ x 8) / (d²) = - (k x 8 x 4 ) / (d²)
8q₁ = - 32
q₁ = -32 / 8
q₁ = - 4 C
F₂₃ = - F₃₄
(k x q₂ x 8 ) / (d²) = - (k x 8 x 4 ) / (d²)
q₂ = - 4 C
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suppose two particles carry a positive charge of 2.80 c for every kilogram of their mass. part a determine the ratio of the gravitational force to the electric force they exert on each other at a given separation.
The ratio of the gravitational force to the electric force between two particles is determined by their respective charges and masses.
What is gravitational force?Gravitational force is a universal force of attraction that acts between all objects that have mass. It is the weakest of the four fundamental forces of nature, however it has the most far-reaching effects, as it is responsible for keeping planets in orbit around stars and for holding galaxies together. Gravitational force arises from an interaction between two bodies due to their masses.
The gravitational force between two particles is proportional to their masses and inversely proportional to the square of the distance that separates them.
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Consider the scatter plot.
Select an answer from the drop-down menu to correctly complete the statement.
The scatter plot shows a
Choose...
association.
Scatter plot of 10 points. Generally, the points form an upside down U shape.
Linear, exponential, and U-shaped are several ways to characterise the correlation's shape.
What is a scatter plot Mcq?Using a scatterplot, you can see how one variable's scores are compared to another variable's scores. Values that emerge in the data frequently. a bunch of data's mean value.Positive or negative directions can be used to describe the direction of a scatter plot. The direction is positive if the points of the scatterplot move up from left to right or if the explained variable rises as the explanatory variable rises.In scatterplots, we frequently see patterns or connections. When the y variable tends to rise as the x variable rises, we say the variables are positively correlated. A negative correlation between the variables is present when the y variable tends to fall as the x variable rises.To learn more about shape refer to:
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