The distribution of the mass of the Milky Way galaxy is determined by measuring the velocity of objects orbiting around it. This is done through the application of Kepler's laws of planetary motion.
There are several methods used to determine the mass distribution of the Milky Way galaxy. One of the most widely used methods is to measure the velocity of objects orbiting around the center of the galaxy. By applying Kepler's laws of planetary motion, which relate the period and radius of an orbiting object to its mass and the mass of the object it is orbiting, astronomers can infer the mass of the Milky Way and its distribution throughout the galaxy. This method is particularly useful for measuring the mass of dark matter in the galaxy, as dark matter cannot be directly observed but exerts a gravitational force on other objects.Another method used to measure the mass distribution of the Milky Way is to study the motion of stars within the galaxy. By analyzing the velocities and positions of stars, astronomers can infer the mass distribution of the galaxy and the presence of dark matter. This method is useful for studying the distribution of mass in the inner regions of the galaxy, where the velocity of stars is affected by the gravitational pull of the central black hole.The distribution of mass in the Milky Way can also be studied by analyzing the gravitational lensing of distant objects. This occurs when light from a distant object is bent by the gravitational field of a massive object, such as a galaxy or cluster of galaxies. By studying the shape and position of the lensed images, astronomers can infer the mass distribution of the galaxy causing the lensing.
The distribution of the mass of the Milky Way galaxy is determined by several methods, including measuring the velocity of objects orbiting around the galaxy, studying the motion of stars within the galaxy, and analyzing the gravitational lensing of distant objects. These methods allow astronomers to infer the mass of the Milky Way and its distribution throughout the galaxy, including the presence of dark matter.
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List three examples of real science that you find on the internet or in real life
for example
1. drinking water at least after 1 hour beacuse if we immediately drink water just after meal it dilutes the HCL produced in our stomach which hinders the digestion process
2.picking up tomatoes for salads which contains oxalic acid
3.Cutting apples which contains malic acid with knife then after sometimes it will trun into brown due to oxidation of iron present in a apple.
A few examples of real science that demonstrate how scientific research and exploration contribute to our understanding of the world around us are the Human genome project, Mars exploration, and Climate Change Studies.
Human Genome Project:
The Human Genome Project (HGP) is a real scientific endeavor that aimed to map and sequence all the genes in the human genome. It involved an international collaboration of scientists and researchers to understand the genetic makeup of humans.
Mars Exploration:
Various space agencies, such as NASA and ESA, have conducted real scientific missions to explore Mars. Rovers like Curiosity and Perseverance have been sent to the Martian surface to study its geology, and atmosphere, and search for signs of past life.
Climate Change Studies:
Climate change research is an ongoing scientific field that investigates the causes and effects of global climate change. Scientists collect and analyze data from various sources, including satellite observations, weather stations, and ice core samples, to study trends and changes in Earth's climate over time.
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How much energy is required to heat 40. 7 g of water (H2O) from −10∘C to 70∘C? Your answer should have three significant figures. Where: cice=2. 06 J/g∘C cwater=4. 18 J/g∘C ΔHfus=334 J/g
The energy required to heat 40.7 g of water (H2O) from -10°C to 70°C can be calculated as follows;Mass of water = 40.7 gTemperature change = 70 - (-10) = 80 °C Specific heat of ice = 2.06 J/g °CSpecific heat of water = 4.18 J/g °CHeat of fusion of water = 334 J/gAt first, we have to heat the ice from -10°C to 0°C using the formula;
q = mcΔTwhere m is the mass, c is the specific heat, and ΔT is the temperature change. For ice, c = 2.06 J/g °C, and the temperature change is 0 - (-10) = 10°C;
q1 = (40.7 g)(2.06 J/g °C)(10°C) = 839.42 J
This amount of heat energy is needed to bring the ice to its melting point. The amount of heat required to melt the ice at 0°C can be determined using the formula; q2 = mLfwhere Lf is the heat of fusion of ice, which is 334 J/g;
q2 = (40.7 g)(334 J/g) = 13590.8 J
Now, we have 40.7 g of water at 0°C.
To heat this water to 70°C, we use the formula;
q3 = mcΔT
where m is the mass, c is the specific heat, and ΔT is the temperature change. For water, c = 4.18 J/g °C, and the temperature change is 70 - 0 = 70°C;
q3 = (40.7 g)(4.18 J/g °C)(70°C) = 12123.94 J
The total energy required is;
\(q_total = q1 + q2 + q3 = 839.42 J + 13590.8 J + 12123.94 J = 26554.16 J\)
Thus, the energy required to heat 40.7 g of water (H2O) from −10∘C to \(70∘C is 2.66 x 10^4 J or 26.6 kJ\).
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A motorcycle accelerates from a stop at a rate of 4m/s 2 for 20 seconds. It then continues at a
constant speed for 40 seconds. You may use the blank graph below to plot the speed vs. time
of the motorcycle. What is the motorcycle's speed at 45 seconds?
After 20 s, the motorcycle attains a speed of
\(\left(4\dfrac{\rm m}{\mathrm s^2}\right)(20\,\mathrm s)=80\dfrac{\rm m}{\rm s}\)
and it continues at this speed for the next 40 s. So at 45 s, its speed is 80 m/s.
3. Eva applies 40 N force to move her bookcase 3 m, how much work did Eva do?
Explanation:
Given:F = 40 N
d = 3 m
Required:Work
Equation:W = Fd
where: W - work, J
F - force, N
d - distance, m
Solution:W = Fd
W = (40 N)(3 m)
W = 120 Nm or 120 J
Final Answer:The work done by Eva is 120 J.Please HURRY
particles q_1 = -8.99uc, q_2 = +5.16uc, and q_3=-89.9uc are in a line. particles q_1 and q_2 are separated by 0.220m and particles q_ 2 and q_3 are separated by 0.330m. what is the net force on particles q_1?
According to the question the net force on particle q1 is \(1.45 * 10^-4 N.\)
What is force?Force is an influence that produces a change in the motion, direction, shape, or orientation of an object. It is a vector quantity, meaning it has both magnitude and direction. Force can be derived from different sources, including physical contact, gravity, magnetism, or even electrical fields. Force affects objects by producing acceleration, deceleration, or changes in direction.
The net force on particle q1 is the sum of the forces due to the two other particles. The force on particle q1 due to particle q2 is given by Coulomb's Law:
\(F12 = k(q1q2/r12^2)\)
Where k is the Coulomb's Constant, q1 and q2 are the charges of the two particles, and r12 is the distance between them, which is 0.220m.
Similarly, the force on particle q1 due to particle q3 is given by:
\(F13 = k(q1q3/r13^2)\)
Where q1 and q3 are the charges of the two particles, and r13 is the distance between them, which is 0.330m.
The net force on particle q1 is then the vector sum of these two forces:
Fnet = F12 + F13
Substituting the values for the charges and distances into Coulomb's Law gives:
\(Fnet = (9*10^9)(-(8.99*10^-6)(5.16*10^-6)/(0.22^2)) + (9*10^9)(-(8.99*10^-6)(-89.9*10^-6)/(0.33^2))\)
Simplifying, we get
\(Fnet = 1.45 * 10^-4 N\)
Therefore, the net force on particle q1 is\(1.45 * 10^-4 N.\)
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Use Newton's laws to explain why a falling object dropped from a 57m tower accelerates initially but then reaches constant velocity. Discuss the forces acting on the object
Answer:
At the point of dropping the object, by Newton's first law due to gravitational force \(F_g\) = m × g, accelerates
By Newton's Second law the object reaches impacts on the air with the gravitational force resulting in changing momentum of m×(Final Velocity - Initial Velocity)
As the velocity increases, the rate of change of momentum becomes equivalent to the gravitational force and by Newton's third law, the action action and reaction are equal and opposite hence they cancel each other out
The body then moves at a constant uniform motion down according to Newton's first law
Explanation:
At the point the object of mass, m, is dropped from the height of the tower, the only force acting on the object is the gravitational force such that the object has an acceleration which is the acceleration due to gravity, g, and the gravitational force is therefore = m × g
As the speed of the object increases while the object is falling with the gravitational acceleration the rate at which the object cuts through layers of air which (by Newton's first law of motion, are at rest ) has some buoyancy effect also increases therefore, the object is constantly increasingly changing the momentum of the air which by Newton's second law results, at an high enough velocity, and by Newton's third law, in a force equal to the applied gravitational force
Therefore, the force of the air drag becomes equal to the gravitational force, cancelling each other out and the object then moves according to Newton;s first law, in uniform motion of a constant speed while still falling down.
if a satellite is orbiting earth at constant speed, select one: a. its orbit is unbound. b. its orbit is an elongated ellipse. c. its orbit is circular. d. it is just under its escape velocity.
Answer:
The ball was thrown from a height that can be calculated using the kinematic equation:
h = vi * t + 0.5 * a * t^2
Where:
h = height from which the ball was thrown
vi = initial vertical velocity = 0 m/s (thrown horizontally)
a = acceleration due to gravity = -9.8 m/s^2
t = time taken to hit the ground
We can use the horizontal distance traveled, d = 36.31 m, to calculate the time:
d = vi * t
t = d / vi
t = 36.31 / 29.59
Now we can use t to find h:
h = vi * t + 0.5 * a * t^2
h = 0 * t + 0.5 * (-9.8) * t^2
h = 4.8 * t^2
h = 4.8 * (36.31 / 29.59)^2
h = 10.76 m
So, the ball was thrown from a height of 10.76 m.
Explanation:
Within 4. 0 s of liftoff, a spacecraft that is uniformly
accelerating straight upward from rest reaches an altitude
of 4. 50 X 102 m [up).
(a) What is the spacecraft's acceleration?
The spacecraft's acceleration can be found using the equation: a = (v-u)/t = 4.50 x 10^2 m / 4.0 s = 11.25 m/s^2.
Can you explain the concept of uniformly accelerating motion?Uniformly accelerating motion refers to an object that is moving at a constant rate of acceleration. This means that the velocity of the object is changing at a constant rate, but the acceleration remains the same throughout the motion. An example of this type of motion is an object that is accelerating from rest at a constant rate. The motion of the object can be described mathematically by the equations of motion, such as distance = initial velocity * time + 1/2 * acceleration * time^2. The graph of uniformly accelerating motion is a parabola, with velocity on the y-axis and time on the x-axis. This type of motion is different from non-uniform acceleration, where the acceleration changes during the motion.
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A spacecraft that is uniformly accelerating straight upward from rest reaches an altitude of 4. 50 X 102 m [up) with acceleration of 11.25 m/s².
Evaluating :The spacecraft's acceleration can be found using the equation:
a = (v-u)/t
= 4.50 x 10² m / 4.0 s
= 11.25 m/s².
Uniformly accelerating motion :Uniformly accelerating motion refers to an object that is moving at a constant rate of acceleration. This means that the velocity of the object is changing at a constant rate, but the acceleration remains the same throughout the motion. An example of this type of motion is an object that is accelerating from rest at a constant rate.
The motion of the object can be described mathematically by the equations of motion, such as distance = initial velocity × time + 1/2 * acceleration × time². The graph of uniformly accelerating motion is a parabola, with velocity on the y-axis and time on the x-axis. This type of motion is different from non-uniform acceleration, where the acceleration changes during the motion.
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المرور
***
6. find the focal length of alens of power
-2.0D. what type of lens is this?
Answer:
\(-\frac{1}{2}\)
Diverging lens
Explanation:
Given parameters:
Power of lens = -2.0D
Unknown:
Focal length = ?
Solution:
The power of lens is the reciprocal of the focal length;
P = \(\frac{1}{f}\)
where f is the focal length
f = \(\frac{1}{P}\) = \(-\frac{1}{2}\)
The lens is a diverging lens
A ball is dropped from rest from the top of a building. What force is responsible for the downward motion of the ball?
the force of gravity
the force of tension
the normal force
the pushing force
please help
Answer: The force of gravity
An object is thrown off a bridge horizontally at 10 m/s. What is the magnitude of the velocity when it hits the water 5 seconds later
The object was thrown horizontally, its horizontal velocity remains constant at 10 m/s. Therefore, the magnitude of the velocity when it hits the water is also 10 m/s.
When an object is thrown horizontally, its vertical velocity remains constant due to the absence of any vertical force.
Assuming the acceleration due to gravity is approximately 9.8 m/s², we can calculate the object's vertical displacement using the formula:
s = ut + 0.5 * g * t²
where
s = vertical displacement,
u = initial vertical velocity (0 m/s as the object is thrown horizontally),
t = time (5 seconds),
g = acceleration due to gravity (9.8 m/s²).
Substituting the values into the formula:
s = 0 * 5 + 0.5 * 9.8 * (5)²
s = 0 + 0.5 * 9.8 * 25
s = 0 + 122.5
s = 122.5 meters.
Thus, the object's vertical displacement when it hits the water is 122.5 meters.
Since the object was thrown horizontally, its horizontal velocity remains constant at 10 m/s. Therefore, the magnitude of the velocity when it hits the water is also 10 m/s.
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Conversations with astronauts on the lunar surface were characterized by a kind of echo in which the earthbound person's voice was so loud in the astronaut's space helmet that it was picked up by the astronaut's microphone and transmitted back to Earth. It is reasonable to assume that the echo time equals the time necessary for the radio wave to travel from the Earth to the Moon and back (that is, neglecting any time delays in the electronic equipment). Calculate the distance from Earth to the Moon (in km) given that the echo time was 2.52 s and that radio waves travel at the speed of light (3.00 ✕ 10^8 m/s).
The correct answer is 378000 km.
The speed of light is the rate at which light waves move through distinct substances. In instance, it has now been established that the speed of light in a vacuum is 299,792,458 metres per second.
Using the equation
distance = speed × time,
the total distance travelled is calculated.
Consequently, the overall distance travelled is
Distance = ( 3.00 × 10^8 m/s ) ( 2.52 )
= 756000000 m
The total distance travelled divided by two determines the distance between the Earth and the Moon.
Distance between earth to moon = 756000000/2
= 378000000 meters
= 378000 km.
Approximately 384 thousand kilometres separate the Earth and the Moon.
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The mass of earth 6*10^24kg and radius is 400kg Now find the value of acceleration due to gravity when a object is 3600km from the earth surface
A bus starts from rest.if the acceleration is 2m/s square, find
i.the distance travelled
ii.the velocity after 2 seconds.
Answer:
The velocity after 2 seconds can be found through:
V = u +a*t
Where V is final velocity, u is initial velocity, a is acceleration and t is time.
V = 0 + 2* 2= 4 meters/second
The distance (s) can be found through:
V^2= u^2 +2*a* s
Where V is final velocity, u is initial velocity, a is acceleration.
4^2= 0^2 + 2 *2*s
16= 0 + 4s
s= 4 meters
Distance (s) can also be found through:
s= ut + 1/2 at^2
s= 0+ 1/2 *2*2^2= 1 *2*2
s= 4 meters
Explanation:
In one sentence describe how modeling is used in science
Answer:
Modeling is used in science to simplify complex systems and phenomena, allowing scientists to make predictions and test hypotheses.
Explanation:
g Let F =< 2xy3z4, 3x2y2z4, 4x2y3 z3 > be a vector field in space. a) Show that F is conservative vector field. b) Find the potential function f such that F = vf. c) Find the work done in moving a particle under this force field from A(1,1,0) to B(3,2,1).
a) The vector field F =\(< 2xy^3z^4, 3x^2y^2z^4, 4x^2y^3z^3 >\) is conservative because it satisfies the condition of having a curl equal to zero. By taking the curl of F and simplifying, we can verify that the result is zero.
b) To find the potential function f such that F = ∇f, we need to determine the partial derivatives of f with respect to x, y, and z and equate them to the corresponding components of F. By integrating these partial derivatives, we can find the potential function f.
c) To calculate the work done in moving a particle from A(1, 1, 0) to B(3, 2, 1) under the force field F, we can use the formula for work done by a conservative force: W = ∫(B) - ∫(A) F · dr, where the integrals are taken along the path from A to B. By evaluating these integrals, we can find the work done.
a) To show that F is a conservative vector field, we need to calculate its curl. Taking the curl of F using the appropriate differential operators, we find that the curl of F is zero. This implies that F is conservative because conservative vector fields have zero curl.
b) To find the potential function f, we equate the partial derivatives of f with respect to x, y, and z to the corresponding components of F. Solving these equations and integrating with respect to the variables, we can obtain the potential function f such that F = ∇f, where ∇ is the gradient operator.
c) To calculate the work done, we use the formula W = ∫(B) - ∫(A) F · dr, where F · dr represents the dot product of the force field F and the infinitesimal displacement vector dr along the path from A to B. By evaluating the integrals along the given path, we can determine the work done by the force field.
In summary, we have shown that F is a conservative vector field by verifying that its curl is zero. We have found the potential function f by equating the partial derivatives of f to the components of F and integrating. Finally, we can calculate the work done by evaluating the appropriate integrals along the path from A to B.
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Facts -An electrical duct bank is required for the utility connections approximately 2000 linear feet from a primary source to a building.The duct bank is 3’wide x 5’deep and requires concrete to 3’ from the bottom of the trench.You will perform excavation/backfill, concrete and supervisionThe electrician gives you a bid of $105,000 for all conduit, wire and terminationsIt will take the electrician one day to install 250 feet of duct / conduit set once the excavation is completed. All wire can be installed and terminated in one week after all other work is completed.There is 6" of asphalt existing in this area. You must saw cut, demo and replaceYou can reuse the excavated soilExcess soil will be exported per the unit price ( complete cost)Do not consider bulking of soilUse one crew for excavation, shoring and backfillYou may backfill the day after the concrete is placedProduction / Installation RatesElectrical Conduit250lf/dayExcavation528cy/dayBackfill - Compacted60cy/dayConcrete140cy/dayAs part of you calculations use the following unit prices:Excavate $8.50 /cyExport /Haul $5.25/cy – don’t use bulking factorsShoring /Forming $1.75 /sfca (SQUARE FOOT CONTACT AREA) for the entire trench, both sidesPlace Concrete $195.00/cyCompacted Backfill $25.00 /cySaw cut asphalt $2,50 per foot. Remove and dispose of asphalt at $2.25 square footReplace asphalt at $28.00 per square yardInclude subcontractor costs – ElectricalGeneral conditions based on durationInclude supervisor at $60 per hourA pick-up at $250 per weekSafety PPE at $25 per dayPorta Potty at $200 per monthTrash pick-up $100 per dayAdd home office overhead and profit of 10%Add a bond cost of 2.5%DeliverablesProvide a cost estimate on the bid formProvide a schedule – Excel or any computer program.PaperWhat is your plan to maximize productivity? Write a one page paper, 12 point type size print double spaced, detailing your plan to measure and maximize productivity on this project.
To maximize productivity on the project, a comprehensive plan will be implemented considering excavation, concrete placement, subcontractor costs, and efficient scheduling.
To maximize productivity on the project, several strategies can be implemented. Firstly, a detailed schedule should be created using appropriate project management software.
This will help allocate resources effectively, identify critical paths, and ensure that tasks are completed in a timely manner. By closely monitoring the schedule and progress, any delays or bottlenecks can be promptly addressed.
Coordination and communication among the various teams involved are crucial. Regular meetings should be held to ensure everyone is aware of their responsibilities and to address any potential conflicts or issues.
Efficient collaboration between the excavation crew, electrician, concrete team, and subcontractors will help streamline operations and minimize downtime.
To optimize productivity, experienced and skilled crews should be assigned to each task. Proper training and clear instructions should be provided to ensure work is done efficiently and accurately.
Additionally, utilizing the right equipment and machinery, such as excavators, concrete pumps, and saw-cutting tools, can significantly speed up the process.
Quality control measures should be implemented throughout the project to avoid rework and ensure compliance with specifications. Regular inspections and testing should be conducted to identify any deficiencies early on, allowing for timely corrections.
By considering these factors and closely monitoring progress, the project can achieve maximum productivity while maintaining high standards of quality and safety.
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The most important factor in determining if an area will be subject to mass movement is ______. a. relief c. weather b. gravity d. water content.
The most important factor in determining if an area will be subject to mass movement is gravity. However, other factors such as relief, weather, and water content can also play a role in increasing the likelihood of mass movement occurring.
A crucial aspect of activities involving mass movement is gravity. Materials move because of the pulling power of gravity, which drags them downslope. It affects slope stability and controls whether or not there will be mass movement.
Additional elements like relief (a), which describes topographic variance or landscape steepness, and water content (d) can affect slope stability and influence mass movement. These things are important, but not as important as gravity itself.
Slope steepness is influenced by relief, and steeper slopes are typically more prone to mass movement. However, the force that causes the materials to slide or collapse is gravity.
In conclusion, while relief, water content, and weather conditions can all affect how much mass moves, gravity is by far the most crucial element since it acts as the motor that starts and regulates the movement of materials downslope. Therefore, b) gravity is the right response.
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PLSLPSLLPSLPSLPS HELP I ONLY HAVE 5 MINS PLEASE
a bus slows down from 50.0 km/h to 36.5/h in the school zone. determine the magnitude of the vehicle's acceleration if it took 19.5 seconds to slow down.
Answer:
0.19m/s²
Explanation:
Initial velocity(u) = 50×1000/60×60
=13.88 m/s
Final velocity(v) = 36.5×1000/60×60
=10.13 m/s
Acceleration(a) = v-u/t
=10.13-13.88/19.5
a= -0.19m/s²
-a = 0.19m/s²
The magnitude of retar dation is 0.19m/s²
Answer:
\(\sf 0.192\:ms^{-2}\:\:(3\:s.f.)\)
Explanation:
Given:
initial velocity (u) = 50.0 km/hfinal velocity (v) = 36.5 km/htime (t) = 19.6 secondsFirst, convert the velocities into meters per second by dividing by 3.6:
\(\implies \sf 50.0\: km h^{-1}=\dfrac{50.0}{3.6}\:ms^{-1}= \dfrac{125}{9}\:ms^{-1}\)
\(\implies \sf 36.5\: km h^{-1}=\dfrac{36.5}{3.6}\:ms^{-1}= \dfrac{365}{36}\:ms^{-1}\)
To find the vehicle's acceleration, use one of the constant acceleration equations with the given values:
\(\implies \sf v=u+at\)
\(\implies \sf \dfrac{365}{36}=\dfrac{125}{9}+19.5a\)
\(\implies \sf \dfrac{365}{36}-\dfrac{125}{9}=19.5a\)
\(\implies \sf 19.5a=-3.75\)
\(\implies \sf a=-\dfrac{3.75}{19.5}\)
\(\implies \sf a=-0.1923076923...\:ms^{-2}\)
Therefore, the magnitude of acceleration is:
\(\implies \sf |a|=|-0.19230...|=0.192\:ms^{-2}\:\:(3\:s.f.)\)
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I need help with this question, please add an explanation so can understand
The acceleration of the the object is 20m/s²
What is force?Force can be defined as the product of the mass of an object with it's acceleration. It is measured in Newton(N) and it is a vector quantity. This means that force has both magnitude and direction.
from the diagram two forces are acting on the object in opposite directions. Therefore the net force = 30-10 = 20N
force = mass × acceleration. This operational definition of force is obtained from Newton second law of motion.
where mass = 1kg
20N = 1× acceleration
acceleration = 20/1= 20m/s²
therefore the acceleration of the object = 20m/s²
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!! i will mark as brainliest so pls answer quick !!
The student becomes negatively charged because of the friction between her socks and the carpet.
Explain why the friction causes the student to become charged
Answer:
A student becomes negatively charged because of the friction between his socks and the carpet. ... The electrons get rubbed and move towards the carpet so the carpets electrons move away and the student becomes negatively charged.
Describe the abiotic factors that are essential for your organism to survive
Answer:
Abiotic factors include water, sunlight, oxygen, soil and temperature. Water (H²0) is a very important abiotic factor - it is often said that "water is life." All living organisms need water. Plants must have water to grow.... Without the sun, plants could not live, and without plants, animals could not live!
Explanation:
*Hope this helps*
Consider the straight bar of a uniform elliptical cross-section. The semimajor and semiminor axes are a and b, respectively. Show that the stress function of the form + provides the solution for torsion of the bar. Find the expression of C and show that лазь3 a2 +b2 —2Ty Izx Тzy 2Tx лаbЗ» лазь and the warping displacement т(? — а?). -ху лазь3G
The stress function of the form Φ = C(x²- y²) provides the solution for torsion of the bar.
How can we determine the expression of C and derive the given equation?To determine the expression of C and derive the given equation, we consider the torsion of a straight bar with a uniform elliptical cross-section. The stress function Φ is assumed to have the form Φ = C(x²- y²), where C is a constant.
By substituting the stress function into the torsion equation and solving for the shear stress τxy, we find that τxy = 2GC(xsin(θ) - ycos(θ)), where G is the shear modulus and θ is the angular coordinate.
To find the expression of C, we compare this equation with the given equation and equate the terms. This leads us to C = Ty/(2G), where Ty is the applied torque.
By further substituting the expressions for x and y in terms of the semimajor and semiminor axes, we can rewrite the equation as τxy = Ty(a²+ b²- 2Jx/R²), where J is the torsional constant and R is the radius of the cross-section.
The warping displacement θ(Φ - Φ0) can be obtained by integrating the torsion equation, which involves the shear stress τxy and the differential area of the cross-section. This displacement can be expressed as θ(Φ - Φ0) = -G∫(τxy dA).
In summary, the stress function Φ = C(x²- y²) provides the solution for torsion of the bar, where C = Ty/(2G) and the derived equation is τxy = Ty(a²+ b² - 2Jx/R²). The warping displacement can be calculated through the integration of the torsion equation.
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Light is one form of energy that travels in electromagnetic waves. This energy is both (1)
and
electrical. There are many different types of electromagnetic (EM) waves. Most of them cannot be seen by humans.
Our eyes see only a small (2)
of EM waves called visible light Visible light is made up of different colors
The colors are red, orange, yellow, green, blue, indigo, and violet. The colors are due to the different (3)
of
light. The (4)
the wavelength, the less energy the wave has. The shorter the wavelength, the more energy
it has. The (5) wavelength of visible light looks red to us the shortest (6)
of visible light looks
vlolet to us
Answer:
Explanation:
Electromagnetic waves are formed by the interference of both electric and magnetic fields. These include: Microwaves, Radio waves, Infrared, Visible, Ultraviolet, X-ray, and gamma rays. These waves can be arranged in a specific order (called spectrum) with respect to their wavelength or frequency. The higher the wavelength, the lower the frequency. And vice versa.
These waves are transverse, and travels at the same speed (speed of light - 3.0 x \(10^{8}\) m/s).
In the given question, the answers are:
1 - Magnetic
2 - Region
3 - Refractive indices
4 - Greater
5 - Higher
6 - Wavelength
Identify the areas of physics involved in each of the following tests of lightweight metal alloy proposed for use in sailboat hulls.
a. Testing the effects of collision on the alloy
b. Testing the effects of extreme heat and cold on the alloy
c. Testing whether the alloy can affect a magnetic compass needle
The areas of physics involved in each of the following tests of lightweight metal alloy proposed for use in sailboat hulls are as follows:
a. Testing the effects of a collision on the alloy - The area of physics involved in this test is mechanics, specifically the study of forces and motion.
b. Testing the effects of extreme heat and cold on the alloy - The area of physics involved in this test is thermodynamics, specifically the study of heat and temperature and their relation to energy and work.
c. Testing whether the alloy can affect a magnetic compass needle - The area of physics involved in this test is electromagnetism, specifically the study of the relationship between electricity and magnetism.
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a red kangaroo can hop at speeds of 65 km/hr. how much time will it take the kangaroo to hop 0.25 km at that speed?
Time = (distance) / (speed)
Time = (0.25 km) / (65 km/hr)
Time = 0.00385 hour
(That's 13.85 seconds.)
Better way:
Distance = 0.25 km
Distance = 250 meters
Speed = (65 km/hr) x (1000 m/km) x (1 hr/3600 sec)
Speed = 18.06 m/sec
Time = (250 m) / (18.06 m/s)
Time = 13.85 seconds
If you have a spaceship that can go 20% of the speed of light, how long would it take to travel 200 light-years?
Answer:
1498962290
Explanation:
Four identical satellites are in orbit around the Earth, as shown in the diagram. For which satellite is the gravitational pull of Earth the strongest?
Explanation:
satellite A, because of its closest orbit.
A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.687 of the escape speed from Earth and (b) its initial kinetic energy is 0.687 of the kinetic energy required to escape Earth
The multiple of Earth's radius RE that the projectile reaches depends on its initial speed and kinetic energy
(a) If the initial speed of the projectile is 0.687 of the escape speed from Earth, then its initial speed can be calculated as:
v = 0.687 * sqrt(2GM/R)
where v is the initial speed, G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.
To find the radial distance that the projectile reaches, we can use the equation for the height of a projectile:
h = R + v^2/2g
where h is the height, v is the initial speed, and g is the acceleration due to gravity.
Since we want to find the multiple of Earth's radius RE, we can express the height in terms of RE:
h/RE = (R/RE) + (v^2/2g) * (1/RE)
Substituting the value of v and simplifying, we get:
h/RE = 1.374
Therefore, the projectile reaches a height that is 1.374 times the radius of the Earth.
(b) If the initial kinetic energy of the projectile is 0.687 of the kinetic energy required to escape Earth, then its initial speed can be calculated as:
v = sqrt(2KE/m)
where KE is the initial kinetic energy and m is the mass of the projectile.
To find the radial distance that the projectile reaches, we can use the same equation as in part (a):
h = R + v^2/2g
Substituting the value of v and simplifying, we get:
h/RE = sqrt(2KE/GM) / RE
Since KE is 0.687 of the kinetic energy required to escape Earth, we can write:
KE = 0.687 * (GMm/R)
Substituting this value and simplifying, we get:
h/RE = 1.333
Therefore, the projectile reaches a height that is 1.333 times the radius of the Earth.
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A car traveling 35 km/hr accelerates to a speed of 45 km/hr in .25 hr. What is its acceleration
Answer:
a=40Km/hr^2
Explanation: