Answer:
c: spin
Explanation:
it's not curvature
The most applicable term to a discussion of angular momentum in the context of black holes is Spin. Thus, the correct option is C.
What is angular momentum of black holes?
Angular Momentum is defined as the property of any rotating object which is given by the product of the moment of inertia of an object and the angular velocity of the rotating object. Angular momentum is a vector quantity and it has both the magnitude and direction. The examples of angular momentum are the rotation and revolution of the Earth.
When the astronomers claim that they have estimated the spin of a black hole, this means they have measured its angular momentum. This is the total angular momentum of all the materials on the Universe that ever crossed the event horizon and got trapped inside it.
Therefore, the correct option is C.
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A fighter jet of mass 9600 kg is moving at a speed of 72 m/s. if its total energy is 2.60x10^8 j, how high from the ground is it?
Answer:
The correct answer is
Explanation:
explain the difference between mass and weight and how these concepts relate to gravity
Answer:
Your mass is the same no matter where you go in the universe; your weight, on the other hand, changes from place to place. Mass is measured in kilograms; even though we usually talk about weight in kilograms, strictly speaking it should be measured in newtons, the units of force
In summary, mass is a measure of how much matter an object contains, and weight is a measure of the force of gravity acting on the object. ... The amount of gravity is directly proportional to the amount of mass of the objects and inversely proportional to the square of the distance between the objects.
Explanation:
What does our atmosphere protect us from?
The atmosphere protects life on Earth by filtering harmful UV radiation, regulating solar radiation and heat, shielding against cosmic rays and space debris, maintaining atmospheric pressure for respiration, and mitigating the impact of meteorological hazards.
Our atmosphere provides several key protections to life on Earth:
Ultraviolet (UV) Radiation: The atmosphere contains the ozone layer, which helps filter out a significant amount of harmful UV radiation from the Sun. UV radiation can cause skin damage, including sunburns and an increased risk of skin cancer.
Solar Radiation and Heat: The atmosphere absorbs and scatters a portion of the Sun's solar radiation, reducing the intensity of direct sunlight that reaches the Earth's surface. It helps regulate temperatures by trapping heat through the greenhouse effect, preventing extreme temperature fluctuations.
Cosmic Rays and Space Debris: The atmosphere acts as a shield against high-energy cosmic rays and most space debris, such as small meteoroids, by causing them to burn up or disintegrate upon entry. This protection prevents them from reaching the Earth's surface and causing potential harm.
Atmospheric Pressure: The atmosphere exerts pressure on the Earth's surface, creating a stable environment for life. It allows us to breathe comfortably by ensuring that air molecules are present at a sufficient density for respiration.
Protection from Meteorological Hazards: The atmosphere plays a crucial role in weather patterns, helping to distribute heat, moisture, and energy across the planet. It provides a buffer against extreme weather events like hurricanes, tornadoes, and severe storms, helping to mitigate their impact.
Therefore, our atmosphere serves as a protective barrier that shields us from various harmful external factors, maintaining a stable and habitable environment for life on Earth.
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A rescue helicopter lifts a 70 kg person straight up by means of a cable. The person has an upward acceleration of 0.70Â m/s2m/s2Â and is lifted from rest through a distance of 13 m.
a) What is the tension in the cable? (Answer in N)
b) How much work is done by the tension in the cable? (Answer in J)
c) How much work is done by the person's weight? (Answer in J)
d) Use the work-energy theorem and find the final speed of the person. (Answer in m/s)
(a) Tension in the cable is 735 N. (b) Work done by the tension in cable is 9555 J (c) work done by the person weight is 8998 J (d) final speed of the person is 4.33 m/s.
a) The tension in the cable can be calculated using the equation of motion:
Tension = m x a + m x g
here m, mass of person (70 kg), a upside acceleration (0.70 m/s^2), and g, a due gravity (9.8 m/s^2).
= Tension
= 70 kg x 0.70 m/s^2 + 70 kg x 9.8 m/s^2
= 70 kg x (0.70 m/s^2 + 9.8 m/s^2)
= Tension
= 70 kg x 10.5 m/s^2
= 735 N
So, the tension in the cable is 735 N.
b) The work done by the tension in the cable can be calculated using the formula:
Work = Force x Distance
here Force is tension of cable (735 N) and Distance is vertical displacement of person is lifted (13 m).
Work = 735 N x 13 m = 9555 J
So, the work done by the tension in the cable is 9555 J.
c) The work done by the person's weight can be calculated using the formula:
Work = Force x Distance
here Force is weight of person climbed.
(70 kg x 9.8 m/s^2 = 686 N) and Distance is vertical displacement of person is lifted (13 m).
Work = 686 N x 13 m = 8998 J
So, the work done by the person's weight is 8998 J.
d) The final speed of the person can be found using the work-energy theorem:
Change in kinetic energy = Work done by net force
Initial kinetic energy = 0 (since the person is lifted from rest)
Final kinetic energy = (1/2) x m x v^2
Putting the values, we get:
= (1/2) x m x v^2
= Work done by net force
= Work done by tension - Work done by weight
= (1/2) x 70 kg x v^2 = 9555 J - 8998 J
= (1/2) x 70 kg x v^2 = 657 J
= v^2
= (2 x 657 J) / (70 kg)
= 18.8 m^2/s^2
= v
= sqrt(18.8 m^2/s^2)
= 4.33 m/s
So, the final speed of the person is 4.33 m/s.
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A guy-wire supports a pole that is 75 ft high. One of the wire is attached to the top of the pole and the other end is anchored to the ground 50 ft from the base of the pole. Determine the horizontal and vertical components of the force of tension in the wire if its magnitude is 50 lbs.
The horizontal and vertical components (in lb) of the force of tension in the wire is 42 and 80 lb respectively.
Explain the solution ?Given the following data:
Height of pole = 95 ft.
Distance = 50 ft.
Force of tension = 90 lb.
To calculate the horizontal and vertical components (in lb) of the force of tension in the wire:
The horizontal and vertical components of force.
First of all, we would determine the angle of inclination between the pole and the guy-wire by using this formula:
Tan (\theta) = \frac{Opp}{Adj} \\\\\theta= tan^{-}(\frac{Opp}{Adj})\\\\\theta= tan^{-}(\frac{95}{50})\\\\\theta= tan^{-}(1.9)
Angle = 62.24°
For the horizontal component of tensional force:
Mathematically, the horizontal component of tensional force is given by this formula:
T_x=Tcos\theta\\\\T_x = 90cos(62.24)\\\\T_x = 90 \times 0.4658
Tx = 41.92 ≈ 42 lb.
For the vertical component of tensional force
Mathematically, the vertical component of tensional force is given by this formula:
T_y=Tsin\theta\\\\T_y = 90sin(62.24)\\\\T_x = 90 \times 0.8849
Tx = 79.64 ≈ 80 lb.
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What name did marie curie give to the process by which materials give off rays capable of fogging photographic plates?
The study of radioactivity by Marie Curie marked a significant turning point in the realm of physics and had a significant influence on scientific knowledge. Now let's get into the specifics.
"Radioactivity" is the term Marie Curie coined to describe the phenomenon whereby materials emit radiation that can fog photographic plates. During her uranium investigation in 1896, she made this discovery. This game-changing discovery opened the door for more research into and comprehension of radioactivity, which resulted in important developments in the field of nuclear physics.
Marie Curie's research on radioactivity served as a springboard for additional nuclear physics research and has profound ramifications for other fields of science and medicine. It resulted in improvements in our knowledge of atomic structure, the creation of radiation therapy for the treatment of cancer, and the eventual exploitation of nuclear energy.
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A 3-phase generator possesses a synchronous reactance of 6 ohm (line reactance between source and load) and the excitation voltage Eo = 3KV (source) per phase. Calculate the line-to-neutral voltage ELoad for a balanced resistive load of 8 ohms. Also, draw a phasor diagram between three-phase source and load voltages.
Load = E = 5196.15 volts.
Given parameters,
Synchronous reactance, Xs = 6 ohms
Excitation voltage, Eo = 3 kV
Line voltage, V = 3 Eo = 9 kV
Load impedance, Z = 8 ohms
Line impedance, ZL = Xs + Z
= 6 + 8
= 14 ohms
Phase voltage, E = V / √3
= 9000 / √3 volts
= 5196.15 volts
Load phase current, IL = E / Z
= 5196.15 / 8 amps
= 649.52 amps
Line current, I = IL
Load line-to-neutral voltage, E
Load = E = 5196.15 volts.
The phase voltage is shown in black, and the line current is shown in red.
phasor diagram
|
Va | VLa
|
|
----------|----------------
|\
| \
Vb | \ VLb
| \
| \
----------|----- \----------
| \
Vc | \ VLc
|
In this diagram, the three-phase source voltages Va, Vb, and Vc are represented by vectors pointing in different directions.
Similarly, the three-phase load voltages VLa, VLb, and VLc are represented by vectors pointing in different directions.
Note that the line voltage and line current are 30 degrees apart, and that the line current leads the phase voltage.
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Rank the electric potential energy of the charged particles from highest to lowest.
Answer:
1, 2, 3, 4
Explanation:
Just did it on Edge
-----
Answer:
1234 is correct
Explanation:
an 85 kg construction worker has 37,485 j of gravitational potential energy to the nearest whole number the worker is blank m above the ground. answer the blank = )
Answer:
45 m above the ground
Explanation:
The formula for height is height = PEg/ mg (gravitational potential energy/ mass times g).
37,485/ (85 kg*9.8m/s^2)
37,485/ 833 = 45 m above the ground
The height of construction worker above the ground is of 45 m.
Given data:
The mass of construction worker is, m = 85 kg.
The gravitational potential energy stored in worker is, U = 37,485 J.
We know that the energy of any object by virtue of its position is known as gravitational potential energy. So, the expression for the gravitational potential energy of construction worker is,
U = mgh
here,
g is the gravitational acceleration and h is the height above the ground.
Solving as,
37485 = 85 × 9.8 × h
h = 45 m
Thus, we can conclude that the height of construction worker above the ground is of 45 m.
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A 2.0 kg rock sits on the edge of a cliff 12 m above the beach. Calculate the kinetic energy of
the rock as it falls off the cliff if the speed of the rock is 15 m/s.
Answer:
450......
............
Which of the following is an example of a chemical property? the flammability of hydrogen the boiling point of ethanol the melting point of gold the density of neon gas please help for 100 points
Answer:
flammability of hydrogen
Explanation:
Chemical properties are properties that can be measured or observed only when matter undergoes a change to become an entirely different kind of matter. They include reactivity, flammability, and the ability to rust.
PLEASE ANSWER ASAP!
How much work is done on a bookshelf being pulled 5.00 m at an angle
of 37.0° from the horizontal? The magnitude of the component of the
force that does the work is 43.0 N.
Answer:
Explanation:
Since work = magnitude of the force times the displacement, then
W = 43.0(5.00) so
W = 215 N*m
To solve this, we must be knowing each and every concept related to fundamental force. Therefore, 215 Nm is the work done on a bookshelf being pulled 5.00 m at an angle of 37.0° from the horizontal.
What is fundamental force?Nature is governed by four fundamental or universal forces. All stuff in the universe would disintegrate in the absence of these forces. Any pull or push that causes an item to change its physical condition is referred to as force (in terms of motion or deformity).
Mathematically, the formula for work can be given as
work = force × displacement× cos(Θ)
W = F × D × cos(Θ)
force= 43.0 N
Θ=37.0°
displacement=5.00 m
substituting all the given values in the above equation, we get
W = 43.0 × 5.00 × cos(37.0°)
W = 215 Nm
Therefore, 215 Nm is the work done on a bookshelf being pulled 5.00 m at an angle of 37.0° from the horizontal.
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what is the maximum data rate of that same 100 khz channel in the presence of 30db of noise?
The maximum data rate of the 100 kHz channel in the presence of 30 dB of noise is 996600 bits per second.
The maximum data rate of a 100 kHz channel in the presence of 30 dB of noise can be calculated using the Shannon-Hartley theorem. This theorem states that the maximum data rate, C, of a channel with a given bandwidth, B, and a given signal-to-noise ratio, S/N, is:
C = B * log2(1 + S/N)
In this case, the bandwidth is 100 kHz and the signal-to-noise ratio is 30 dB. First, we need to convert the signal-to-noise ratio from decibels to a unitless value:
S/N = 10^(30/10) = 1000
Now we can plug in the values into the Shannon-Hartley theorem:
C = 100000 * log2(1 + 1000) = 100000 * log2(1001) = 100000 * 9.966 = 996600 bits per second
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What is the voltage drop across a 5.0-? resistor if the current through it is 5.0 A?
A) 1.0 V
B) 4.0 V
C) 25 V
D) 100 V
The voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.
From Ohm's law we know the equation, V = I R
where,
V is the voltage drop
I is the current
R is the resistance
Given that,
I = 5 A
R = 5 Ω
Putting the values in the above equation, we have,
V = I R = 5 × 5 = 25 V
Thus, the required voltage drop across a 5 Ω resistor if the current through it is 5 A is calculated to be 25 V.
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A crane is used to pick up a 50m long steel beam to place in a building. The beam is uniform, but the crane cable
The tension in the cable is calculated as 24,990 N. It is given that a crane is used to pick up a 50m long steel beam to place in a building. The beam is uniform, but the crane cable is not. I
The weight of the steel beam = mass of steel beam x gravitational field strength of the Earth
The gravitational field strength of the Earth is equal to 9.8 N/kg, while the mass of the steel beam is 2500 kg.
Weight of steel beam = 2500 kg x 9.8 N/kg
= 24,500 N
Tension in the cable of the crane is equal to the weight of the steel beam plus the weight of the cable.
Tension in the cable = weight of steel beam + weight of cable
The weight of the cable is equal to the mass of the cable x gravitational field strength of the Earth.
Therefore, the weight of the cable is 50 kg x 9.8 N/kg
= 490 N.
Weight of the steel beam = 24,500 N
Weight of the cable = 490 N
The tension in the cable of the crane = weight of steel beam + weight of cable
= 24,500 N + 490 N
= 24,990 N
Therefore, the tension in the cable is 24,990 N.
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Can someone give a guide to the symbols, please?
Answer: The answer is (D) \(v_{f} = 0\)
Explanation: Here is a guide to the symbols that are presented in the options:
In option (A), it is Δx = 0, it is read as "del of x equals zero." Δx represents the change in the position of a particular object.
In option (B), it is \(v_{i}\) = 0, here \(v\) denotes the velocity of the object, and 'i' denotes the initial. So, \(v_{i}\) denotes the initial velocity of the object.
In option (C), it is a = a, and 'a' denotes the acceleration of the object.
In option (B), it is \(v_{f}\) = 0, here \(v\) denotes the velocity of the object, and 'f' denotes the final. So, \(v_{f}\) denotes the final velocity of the object.
The question asked about the meaning of "comes to a stop." When an object comes to a stop it means it has no or 0 velocity, which means the final velocity becomes 0. hence, option (D) is the correct answer.
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What happens when a sound wave passes from water into air
Answer:
Explanation:
Sounds travel faster in object having high density proportion or matter. This is because particles vibrates and causing the other particle near to as well vibrate. Hence, when sound is moving from a higher dense medium like Water, the rate of traveling is high compare to it moving in air with less dense.
Electric potential differences are measured in _____.voltsjoulesnewtonscentimeters
The correct unit used to measure the electric potential difference is Volts.
Joules is used to measure energy.
Newtons is used to measure forces.
Centimeters is used to measure distance.
Therefore the correct option is the first one.
A closed circuit containing THREE of the same type of resistors has a current of 2 amps and TWO 9V batteries. How much resistance does EACH resistor have, in ohms?
The amount of resistance that each resistor has, in this closed circuit, given the batteries is 3 ohms.
How to find the resistance ?In a closed circuit, the total resistance (R_total) is equal to the sum of the individual resistances. We can use Ohm's law to solve for the resistance of each resistor:
Resistance (R) = Voltage (V) / Current (I)
Using Ohm's law, we can solve for the total resistance (R_total) of the circuit:
= V_total / I
= 18V / 2A
= 9 ohms
Since there are three identical resistors in the circuit, we can divide the total resistance by 3 to find the resistance of each resistor:
= 9 / 3
= 3 ohms
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What is the density of water?
HELPPPP PLEASE!!
Answer:
1g/cm³ or 1000kg/m³ at 4°C
what do you understand by the term current state and define its SI unit.........
Answer:
Explanation:
Current refer to the rate at which electric charge flow or run or move in an electric circuit . It is measured in Ampere or coulumb per second.
The SI unit is Ampere and it is represented by A. It is a scalar quantity.
1 Ampere is the current that will produce an attractive force of 2 × 10^-7 Newton per meter of length between two parallel conductors.
Earth's location in space can be described as being
A. at the edge of a super cluster within a solar system
B. at the center of a spiral galaxy
O C. in a cluster of galaxies
D. within a solar system of binary stars
Answer:
C. in a cluster of galaxies
Explanation:
Gravity is considered to be a universal force of attraction which acts between all objects that has both mass, energy and occupy space. Therefore, it acts in such a way as to bring objects together.
Additionally, the gravity of earth makes it possible for all physical objects to possess weight.
A galaxy can be defined as a collection or group of many billions of stars and other planetary body which are existing independently.
Hence, Earth's location in space can be described as being in a cluster of galaxies within the solar system comprising of jupiter, mars, sun, venus, moon, etc.
Real circuits frequently have a need to reduce a voltage to a smaller value.a. Trueb. False
In many applications, it is essential to regulate or step down voltage levels for safe and efficient operation of electronic components within the circuit.
a. True. Real circuits often use voltage regulators to reduce a voltage to a smaller value, which is necessary for proper functioning of many electronic components. The statement "Real circuits frequently have a need to reduce a voltage to a smaller value" is True. In many applications, it is essential to regulate or step down voltage levels for safe and efficient operation of electronic components within the circuit. The statement "Real circuits frequently have a need to reduce a voltage to a smaller value" is True.
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What is the gravitational potential energy of a ceiling fan that has a mass of 8kg and is 5m above the ground?
Answer:
in my opinion..
Answer:
PE = 64 J
m = 8 kg
g = 1.6 m/s2
h = 5 m
1. A particle with a charge of 5.5 x 10°C is 3.5 cm from a particle with a charge of -2.3 x 10^-8 C. The potential energy of this two-particle system, relative to the potential energy at infinite separation, is: 2. Each of the resistors in the diagram is 12 12. The resistance of the entire circuit is:
The resistance of the entire circuit is: R_total = 4 ohms.
1. The potential energy of a two-particle system can be calculated using the formula: \(U = k * (q1 * q2) / r,\)
where k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them. In this case,
q1 = 5.5 x 10^-6 C,
q2 = -2.3 x 10^-8 C, and
r = 3.5 cm = 0.035 m.
Plugging in these values, we get
U = (9 x 10^9 Nm^2/C^2) * (5.5 x 10^-6 C) * (-2.3 x 10^-8 C) / 0.035 m
= -5.93 J.
2. To find the total resistance of a circuit with resistors in parallel, you can use the formula:
1/R_total = 1/R1 + 1/R2 + 1/R3 + ..., where R1, R2, R3, etc. are the resistances of the individual resistors.
In this case, all the resistors have a resistance of 12 ohms.
Therefore, 1/R_total = 1/12 + 1/12 + 1/12
= 3/12
= 1/4.
Taking the reciprocal of both sides, we find that R_total = 4 ohms.
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What do you think it would be like to live in a binary star system? If Earth was to orbit around two stars, what might be different on Earth?
Binary stars certainly have habitable zones where liquid water may exist on the planet's surface but it may be difficult for life to gain a foothold. Colder than 16 degrees Fahrenheit minus 100 degrees on Earth.
Orbital binaries are planets orbiting two stars instead of one star. Two stars orbit each other in a binary star system, but planets usually orbit farther from the center of the system than either star but can be in stable orbits around one of the stars in the binary system. A planet is known.
No planet in a binary system is likely to have the stable orbits necessary for the evolution of life. Earth is probably very rare in that it has a stable orbit at just the right distance from a benign star and maintains that orbit for the required 4.5 billion years. We say that planets orbit stars, but that's not entirely true. Planets and stars actually orbit around a common center of gravity. This common center of gravity is called the centroid.
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7) Your Grandma is following behind you on the trip to Dallas, but she refuses to drive
faster than 60 miles per hour. If she drives at that speed for the entire trip, how much
later will she arrive in Dallas
Answer:
Grandma will arive \(\frac{1}{2}\)hr later
Explanation:
\(s=20\\d=210 mi|\\ s=70 mi|h \\ \\ \frac{60}{1} =\frac{210}{+} = 3.5 hrs\)
the sketch shows the refraction and reflection for red and violet light rays inside a water drop that produces a primary rainbow. out of the colors listed below, which has the smallest index of refraction in water?
Refraction is the bending of light rays as they pass from one medium to another, such as air to water. The amount of bending that occurs depends on the speed of light in each medium, which is measured by the index of refraction. The higher the index of refraction, the slower light travels through that medium.
In the case of a rainbow, light enters a water droplet and undergoes both reflection and refraction before exiting the droplet as a rainbow. The different colors of light (red, orange, yellow, green, blue, indigo, and violet) have different wavelengths and therefore refract at slightly different angles. This causes the colors to separate and form a rainbow.
So, which color has the smallest index of refraction in water? The answer is red. This is because red light has the longest wavelength of all the colors, which means it bends the least when passing through a medium like water with a higher index of refraction. Violet light, on the other hand, has the shortest wavelength and bends the most, making it the color with the highest index of refraction in water.
In summary, the sketch shows the refraction and reflection of red and violet light rays inside a water droplet that produces a primary rainbow. Red has the smallest index of refraction in water because it has the longest wavelength and bends the least. Violet has the highest index of refraction in water because it has the shortest wavelength and bends the most.
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How to find average acceleration only using displacement and time?
Answer:
Average acceleration = Displacement / (time)^2
Explanation:
The unit for acceleration is
\(m {s}^{ - 2} \)
Displacement = m
Time = s
Hence the units of displacement and time should be manipulated to get the unit of acceleration.
You can't. You can only find average velocity.
But if you also know that initial velocity is zero ... the object started from rest ... then
Avg acceleration =
2 x displacement / time-squared
Find the center of mass of the region bounded by y=9-x^2 y=5/2x , and the z-axis. Center of Mass = __?
Note: You can earn partial credit on this problem.
The centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8). Formulae used to find the centre of mass are as follows:x bar = (1/M)*∫∫∫x*dV, where M is the total mass of the system y bar = (1/M)*∫∫∫y*dVwhere M is the total mass of the system z bar = (1/M)*∫∫∫z*dV, where M is the total mass of the systemThe region bounded by y=9-x^2 and y=5/2x, and the z-axis is shown in the attached figure.
The two curves intersect at (-3, 15/2) and (3, 15/2). Thus, the total mass of the region is given by M = ∫∫ρ*dA, where ρ = density. We can assume ρ = 1 since no density is given.M = ∫[5/2x, 9-x^2]∫[0, x^2+5/2x]dAy bar = (1/M)*∫∫∫y*dVTherefore,y bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]y*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]ydA...[1].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore,y bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]y*dxdy...[2].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.Substituting the values and evaluating the integral, we get y bar = (1/M)*[(9-5/2)^2/2 - (9-(15/2))^2/2]= (1/M)*(25/2)...[3].
Also, the x coordinate of the center of mass is given by,x bar = (1/M)*∫∫∫x*dVTherefore,x bar = (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]x*dA= (1/M)*∫[5/2x, 9-x^2]∫[0, x^2+5/2x]xdA...[4].
The limits of integration in the above equation are from 5/2x to 9-x^2 for x and from 0 to x^2+5/2x for y.To evaluate the above integral, we need to swap the order of integration. Therefore, x bar = (1/M)*∫[0, 3]∫[5/2, (9-y)^0.5]xy*dxdy...[5].
The limits of integration in the above equation are from 0 to 3 for y and from 5/2 to (9-y)^0.5 for x.
Substituting the values and evaluating the integral, we get x bar = (1/M)*[63/8]= (1/M)*(63/8)...[6]Thus, the centre of mass of the region is bounded by y=9-x^2 y=5/2x, and the z-axis is (3.5, 33/8).
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