The magnitude of force P is 908.3N
Forces in cables:
[tex]\vec{F}_{AC} = F_{AC}\left [ \frac{\vec{AC}}{|AC|} \right ] = (300)\left [ \frac{1.6\hat{j}+1.2\hat{k}}{\sqrt{1.6^2+1.2^2}} \right ]\Rightarrow \vec{F}_{AC} =240\hat{j}+180\hat{k}[/tex]........(i)
And,
[tex]\vec{F}_{AE} = F_{AE}\left [ \frac{\vec{AE}}{|AE|} \right ] = F_{AE}\left [ \frac{-0.4\hat{i}+1.6\hat{j}-0.86\hat{k}}{\sqrt{0.4^2+1.6^2+0.86^2}} \right ]\Rightarrow \vec{F}_{AE} =-0.2151F_{AE}\hat{i}+0.8602F_{AE}\hat{j}-0.4624F_{AE}\hat{k}[/tex]
And,
[tex]\vec{F}_{AD} = F_{AD}\left [ \frac{\vec{AD}}{|AD|} \right ] = (P)\left [ \frac{1.3\hat{i}+1.6\hat{j}+0.4\hat{k}}{\sqrt{1.3^2+1.6^2+0.4^2}} \right ]\Rightarrow \vec{F}_{AD} =0.619P\hat{i}+0.7619P\hat{j}+0.1905P\hat{k}[/tex]
Now,
[tex]\vec{W} = -W\hat{j}[/tex]
By equilibrium of x-forces (i components):
[tex]\sum F_x = 0\Rightarrow -0.2151F_{AE}-0.4382P+0.619P = 0\Rightarrow F_{AE} = 0.8405P[/tex]
By equilibrium of z-forces (k components):
[tex]\sum F_z = 0\Rightarrow 180-0.4624F_{AE}+0.1905P = 0\Rightarrow 180-0.4624(0.8405P)+0.1905P = 0\Rightarrow P = 908.3\;\;N[/tex]
Therefore, the magnitude of force P is 908.3N
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A container of weight [tex]W[/tex] is suspended from ring [tex]A[/tex], to which cables [tex]AC[/tex]and [tex]AE[/tex] are attached. A force [tex]P[/tex] is applied to the end [tex]F[/tex] of a third cable that passes over a pulley at [tex]B[/tex] and through ring [tex]A[/tex] and that is attached to a support at [tex]D[/tex]. Knowing that the tension in cable [tex]AC[/tex] of the system is 300N, determine the magnitude of [tex]P[/tex].
Help asap.
How do particles move when a transverse wave passes through a medium?
A. Up to a crest, then down through a trough, then back
B. Through a compression followed by a rarefaction
C. In wavelengths and amplitudes
OD. Along circular or elliptical paths
Answer:Transverse waves cause the medium to move perpendicular to the direction of the wave.
Explanation:
In a transverse wave, particles of the medium vibrate up and down perpendicular to the direction of the wave. In a longitudinal wave, particles of the medium vibrate back and forth parallel to the direction of the wave.
rajesh used a lens to burn a piece of paper.what is the lens?draw a ray diagram related to this process
If we want to burn a paper by focusing sunlight then we have to use a converging lens that can converge all sunlight at a point called the focus.
Thus Convex lens is used to burn the paper.
What is the lens?The transmissive optical device known as a lens employs refraction to focus or disperse a light beam. While a compound lens is made up of numerous simple lenses (elements), they are typically oriented along a common axis, as opposed to a simple lens, which is made up of a single transparent piece. Materials like glass or plastic are used to create lenses, which are then polished, ground, or molded into the desired shape. Unlike a prism, which refracts light without concentrating, a lens can focus light to create an image. Lenses are also used to describe instruments that focus or scatter waves of radiation other than visible light, such as explosives, microwaves, and electron lenses.
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Clara jogs 600 m in 5 minutes
how can i eat a pizza with my toes
Answer:
You grab (grasp or seize suddenly and roughly.) the pizza with your toes
Explanation:
Answer:
First, you have to wash your toes to get all the germs off.
Next, make sure you have a good grip on the pizza.
Then, make sure you are in a comfortable position.
Next, wrap your leg around your neck so the pizza can reach.
Finally, you can enjoy your pizza.
Hope this helped!
The biggest school in the world is in lucknow, india. it has more than 40,000 students and 2500 teachers! would it be easier to make new friends in a school with 40,000 kids than a school with fewer than 100 kids?
School population.
What is the population in school?The total number of full-time and part-time students who were enrolled in the institution during the reporting period.The biggest school in the world is the City Montessori School in Lucknow. With more over 45,000 students, it was included as the largest city school in the Guinness Book of World Records in 2013.The degree to which pupils engage with or participate in a lesson, course, etc.Education among the populace contributes to the well of their families and communities. Education about the population raises students' and teachers' awareness while also changing their attitudes.The biggest school in the world is in lucknow, india. it has more than 40,000 students and 2500 teachers! would it be easier to make new friends in a school with 40,000 kids than a school with fewer than 100 kids? School population.
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What is the average speed across my bunny’s entire trip when she hops 6 meters to the east across the room in 11 seconds and then takes another 12 seconds to hop back to her initial position? Express your answer using the proper SI units round your to two decimal places include a direction if necessary
Help me asap calculating average velocity and speed
The average speed of bunny's entire trip is 0.52 m/s and her average velocity is 0 m/s.
What is average speed?The average speed of an object is the ratio of total distance travelled to the total time of motion of the object.
V(speed) = total distance / total time of motion
V(speed) = (6 m + 6 m) / (11 s + 12 s)
V(speed) = (12 m) / (23 s)
V(speed) = 0.52 m/s
What is average velocity?The average velocity of an object is the ratio of total displacement to total time of motion of the object.
V(velocity) = total displacement / total time of motion
V(velocity) = (6 m - 6m) / (11 s + 12 s)
V(velocity) = (0 m) / (23 s)
V(velocity) = 0 m/s
Thus, the average speed of bunny's entire trip is 0.52 m/s and her average velocity is 0 m/s.
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3 A car has a steady speed of 8 m/s.
How far does the car travel in 8 s?
a
b
How long does the car take to travel 160 m?
a. The car travel 64m in 8s.
b .It takes 20s to cover a distance of 160m
we know that speed is equal to distance travelled by an object by time taken.
s=d/t
a. it is given that the speed of the car is 8m/s and the time it takes is 8s so here the distance will be
d=s*t
= 8x8
=64m
b. here it is given that the car travels a distance of 160 m and it has a speed of 8m/s so the time taken by the car to travel 160 m will be
t=d/s
=160/8
=20s
So from the above equations it is clear that s=d/t and the distance covered is 64m in a. and 20s in b.
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the elastic cords used for bungee jumping are designed to endure large strains. consider a bungee cord that stretches to a maximum length 3.51 times the original length. there are different ways to report this extensional deformation.
The ratio of (ε true/ε engr) = (1.2556/2.51) = 0.5002
So, the engineering strain is around 0.5002 bit wrong from the value of the true strain. This calculated value of difference is known as the extensional deformation.
For finding out the Engineering strain,
Engineering strain is a unit used to describe how much a material deforms when subjected to a specific force. It is equal to the amount of deformation divided by the material's initial length in the direction of the applied force.
⇒ε(engineering) = ΔL/L₀
⇒Lₓ= final length = 3.51 L₀
⇒L₀ = original length = L₀
⇒ΔL = Lₓ- L₀
= 3.51 L₀ - L₀
= 2.51 L₀
⇒ε(engineering) = ΔL/L₀
= (2.51L₀)/L₀
= 2.51
For finding out the True Strain,
Deformation is measured by True Strain. It can be calculated by integrating the strain across short time intervals and adding them up. Hence,
⇒ε(true) = In (Lₓ/L₀)
⇒Lₓ = 3.51L₀
⇒L₀ = L₀
⇒ε(true) = In (Lₓ/L₀)
= In (3.51L₀/L₀)
= In 3.51
= 1.2556
So, dividing both the values, we get
(ε true/ε engr) = (1.2556/2.51) = 0.5002
The complete question is as follows:
The elastic cords used for bungee jumping are designed to endure large strains. Consider a bungee cord that stretches to a maximum length 3.51 times the original length. There are different ways to report this extensional deformation. Calculate how wrong' the engineering strain is compared to the true strain by evaluating the ratio: ε true/ε engr
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Which phrase best describes the amplitude of longitudinal waves?
OA. The maximum pressure at a compression
B. The vertical distance from a trough to the midpoint
O C. The distance from a compression to a rarefaction
D. The vertical distance from the midpoint to a crest
a plane accelerates from rest at a constant rate of 5.00 along a runway that is 1800 long. assume that the plane reaches the required takeoff velocity at the end of the runway. what is the time needed to take off?
tTO = 26.8 sis the time needed to take off a plane accelerates from rest at a constant rate of 5.00 along a runway that is 1800 long.
What is time ?Time is the ongoing pattern of existence and things that happen in what seems to be an unbreakable succession from the past through the present and into the future. It is a constituent quantity of many measurements that are used to compare the lengths of events or the gaps between them, to compare the sequence of occurrences, and to measure the rates at which certain quantities in the physical world or in conscious experience change. In addition to the three spatial dimensions, time is frequently considered a fourth dimension.
Although time has long been a crucial topic for research in philosophy, theology, and science, no definition of time that is universally applicable and free of circularity has ever been reached by academics. However, a number of different industries and areas, including business, industry, sports, the sciences, and the performing arts, all incorporate.
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a neutron star is the remnant left after certain supernovae (explosions of giant stars). typically, neutron stars are about 21 km in diameter and have around the same mass as our sun. what is a typical neutron star density in g/cm3 ?
The density of the neutron star is ρ = [tex]7.733[/tex]×[tex]10^{14}[/tex] [tex]g/cm^{3}[/tex].
What is a neutron star?The volume of the neutron star is
V=([tex]4\pi /3[/tex])×[tex]R^{3}[/tex]
V= [tex]25.72^{17} cm^{3}[/tex]
Now the density of the neutron star is
ρ = M/V
ρ = [tex]7.733[/tex]×[tex]10^{14}[/tex]g/[tex]cm^{3}[/tex]
The collapsing core of a large supergiant star with a total mass of between 10 and 25 solar masses—possibly even more if the star was very metal-rich—is what we refer to as a neutron star. Neutron stars are the tiniest and densest class of stellar objects currently known, with the exception of black holes and other hypothetical phenomena.
Although the galaxy may contain hundreds of millions of ancient neutron stars, only about 1,000 pulsars are known to exist. Although the enormous pressures found at neutron star cores may be similar to those at the moment of the big bang, conditions like this cannot be replicated on Earth.
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According to history, the concept that all matter is composed of atoms was first proposed by.
The Greek philosopher Democritus, but not widely accepted until modern times.
Who first proposed the idea of atoms?It is believed that Leucippus of Miletus, who lived in the fifth-century BCE, invented the atomic philosophy. About 430 BCE, his illustrious pupil Democritus of Abdera gave the fundamental components of matter the atoms—literally, "indivisible"—name.The concept of the atom was first proposed by the Greek philosopher Democritus in 450 B.C.The oldest person whose dedication to atomism is extensively documented is Leucippus (5th century BCE). He is typically given credit for developing atomism.John Dalton, an English chemist, conducted several experiments in the early 1800s that helped solidify the concept of atoms. After the "dead of chemistry" in the previous 2000 years, he created the first atomic theory. Dalton proposed the idea that atoms make up all matter.According to history, the concept that all matter is composed of atoms was first proposed by: The Greek philosopher Democritus, but not widely accepted until modern times.
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Name the three particles of the atom and their respective charges (positive, negative, neutral)
Answer:
Positive: Proton, Negative: Electron, Neutral: Neutron
Explanation:
if a resistor with a current of 20 ma through it converts 12 j of electrical energy into heat energy in 60 s, what is the voltage across the resistor?
The voltage across the resistor is 0.2V.
Heat energy is given as H = [tex]I^{2}[/tex]Rt.
What is a resistor ?Voltage across the resistor is
V= 0.2v
12 = [tex]0.02^{2}[/tex]×R×60
R= 500 ohms.
voltage across the resistor is
V=IR
V= 0.02^{2} ×500
V= 0.2V
A resistor is an electrical component with two terminals that implements electrical resistance as a circuit element. Resistors are employed in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active devices, and terminating transmission lines.
An electrical component known as a resistor controls or restricts the passage of electrical current in an electronic circuit. Additionally, resistors can be used to supply a specified voltage to an active device like a transistor.
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To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _____ percent of the 3-phase current value.
To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _maximum percent of the 3-phase current value.
short circuit- It is an electrical circuit in which current finds a way to bypass the appliances on a path that has little or no resistance.
In the 3- phase system, there are three power wires which carries load.
most common. Types of three phase system are known as wye and delta.
Delta configuration has only three wires. Wye configuration may have a fourth, neutral ,wire.To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _maximum percent of the 3-phase current value.
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what does it mean to "convert" from 1 unit to another? Give an example.
Answer:
To convert is to change measuring units so that what is being measured may be more easily measured etc.
Answer:
A conversion factor is a number used to change one set of units to another by multiplying or dividing.
Explanation:
The appropriate conversion factor to an equal value must be used when a conversion is necessary.
For example, to convert inches to feet, the appropriate conversion value is 12 inches, equal to 1 foot.
What is the phase of the moon during a total solar eclipse?
Answer:
The moon should be in the New phase.
Explanation:
A population of a tree snail species has different patterns in their shells. These slight differences in appearance among the individual members of the species are called variations. How do you think these variations get passed on from one generation of tree snails to the next? Select the answer that best matches your thinking.
The variations get passed on from one generation of tree snails to the next from both parents to offspring and through the environment (Option C is correct).
What is genetic variation?The expression of genetic variation refers to differences in the nucleotide sequences between individuals of the same special which are passed across generations from parents to offspring and are selected by natural selection.
In conclusion, the variations get passed on from one generation of tree snails to the next from both parents to offspring and through the environment (Option C is correct).
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6. A person walks 60.0 m and then he walks 130 m.
What is the person's distance?
Answer:
130+60=190
Explanation:
i.e. if you asked for the distance covered by the person
which of the forces have infinite range? group of answer choices weak nuclear force only both gravitational and weak nuclear forces electromagnetic force only both electromagnetic and gravitational forces
The gravitational force and the electromagnetic force are the two forces that have infinite ranges.
There are four fundamental forces in nature. They are:
Gravitational forceElectromagnetic ForceWeak Nuclear ForceStrong Nuclear ForceThe strength and range of the fundamental forces are mentioned in the table given in the adjoining image.
Out of the four forces, two forces are there whose range is infinite i.e gravitational force and electromagnetic force, and the other two forces i.e., weak nuclear force and strong nuclear force have extremely short ranges.
Thus, both gravitational force and electromagnetic force are two forces that have infinite ranges.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The diagram shows two girls pushing on a box with equal and opposite forces. Which statement best describes the forces required to move the box to the right?
Answer: the forces must be unbalanced, with the force from the left greater than the force from the right.
Explanation:
A concave mirror has a focal length of 8em. A real object of height 2em is placed 12cm from the mirror. Calculate the distance of the image from the mirror. If the height of the image formed is 4cm.
If the height of the image formed is 4cm, the distance of the image from the mirror is - 24 cm
According to mirror formula,
[tex]\frac{1}{f} = \frac{1}{v} + \frac{1}{u}[/tex]
f = Focal length
v = Image distance
u = Object Image distance
m = Magnification
[tex]h_{o}[/tex] = Object height
[tex]h_{i}[/tex] = Image height
f = - 8 cm
u = - 12 cm
[tex]h_{o}[/tex] = 2 cm
[tex]h_{i}[/tex] = 4 cm
1 / ( - 8 ) = 1 / v - 1 / 12
1 / v = - 1 / 24
v = - 24 cm
The formula used to relate focal length with image and object length is mirror formula. This formula can be used for both plane mirror and spherical mirrors such as concave and convex mirrors.
Therefore, the distance of the image from the mirror is - 24 cm
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Can somebody answer all parts with explanation
Thanks,
The total length of the brass used to make the girls neck rings= 840cm
The radius of the brass = 20 cm
The volume of the cylinder = 15,086cm³
The mass of brass = 131700.78g
Calculation of the radius, length and mass of brassTo calculate the total length of the brass:The number of turns that makes up the neck rings = 21
The circumference of each turn = 40cm
Therefore the total length = 40 × 21 = 840cm
To calculate the radius of the brass,The height of the brass= 12cm
The circumference of the turns= 40cm
Therefore the radius = 40/2 = 20cm
To calculate the volume of the cylinder:The formula for the volume of cylinder,
V = πr²h
r = 20cm
h = 12cm
V= 22/7 × 20² × 12
V = 22× 400×12/7
V= 105600/7
V= 15,086cm³
To calculate the mass of the brass:Density =8.73 g/cm³
Volume = 15,086cm³
mass= density × volume
mass= 8.73 × 15,086
Mass = 131,700.78g
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During the experiment, the temperature of the spectrophotometer cavity is measured before inserting the cuvette. what is the main purpose of recording this temperature?
Dilution is needed to bring the unknown’s absorbance within the range of the standard curve.
If the dilution procedure is documented, it is possible to calculate the full-strength concentration after determining the diluted unknown quantity. Beer’s Law only applies to diluted solutions; hence it is preferable to dilute the unknown than to create new standards.
WHAT PURPOSE DOES A SPECTROPHOTOMETER SERVE?Spectrophotometers gauge transmittance (T) and absorbance (A) (T). Photons per second are used to quantify the light’s intensity. A blank sample, which does not absorb light when light passes through it, is represented as (I).
What is the spectrophotometer’s fundamental tenet?The principle of the spectrometer. The spectrophotometer is a device that calculates how much light a substance absorbs.
The spectrophotometer measures the light intensity of a sample by passing a light beam through it.
How does a spectrophotometer function and what is it?A spectrophotometer is a device that counts the number of photons (light’s energy) absorbed after they have passed through a sample solution.
The spectrophotometer can also be used to determine the concentrations (amounts) of known chemical substances.
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The diagram shows how states of matter can change when energy is either added or removed.
System before change
System after change
00000
00000
00000
00000
00000
00000
00000
All of these statements below are true EXCEPT
Energy was added to the matter causing the particle movement to increase.
The matter changed states which is a physical change.
The particles in the matter before the change had more energy than after the change.
The particles in the matter before the change had less energy than after the change
A change in temperature frequently causes substances to change phases. Most substances are solid at low temperatures; as the temperature rises, they become liquid; and at still greater temperatures, they become gaseous.
Melting is the conversion of a solid into a liquid (an older term that you may see sometimes is fusion). Solidification is the process where a liquid turns into a solid. The melting point, or the temperature at which a pure substance begins to melt, is a property of that substance. A solid must expend energy to become a liquid. A specific quantity of energy is required by every pure substance in order to transform from a solid to a liquid. This amount is known as the substance's enthalpy of fusion (or heat of fusion).
The complete question is- The diagram shows how states of matter can change when energy is either added or removed.
System before change
System after change
00000
00000
00000
00000
00000
00000
00000
All of these statements below are true EXCEPT
Energy was added to the matter causing the particle movement to increase.
The matter changed states which is a physical change.
The particles in the matter before the change had more energy than after the change.
The particles in the matter before the change had less energy than after the change.
the diagram is attached below.
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Please help I will mark brainliest
Answer:
1.) B
2.) Polar Regions or high altitudes.
Explanation:
what comes to your mind when you think about the Energy, Forces, and Earth's Crust?
discrepancy between calculated charge and the accepted value of charge of electron
Charge of an electron, e = 1.60217662 × 10-19 coulombs whereas to calculate the charge of an electron it is not fixed as it may vary.
The charge of the electron is comparable to the size of the rudimentary charge (e) but bears a negative sign. Since the esteem of the rudimentary charge is generally 1.602 x 10-19 coulombs (C), at that point the charge of the electron is -1.602 x 10-19 C.
When communicated in nuclear units, the basic charge takes the esteem of solidarity, i.e., e = 1. In this way, the electron’s charge can be signified by -e. Even though the proton is much more gigantic than the electron, it was as it was including a charge of e.
Thus, impartial particles continuously bear the same number of protons and electrons.
JJ Thomson is the undisputed pioneer of the electron. Be that as it may, despite all those tests he performed on it, he might as it was overseen getting the electron’s charge to mass proportion.
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As a freely falling object picks up downward speed, what happens to the power supplied by the gravitational force?.
The power supplied by the gravitational force will increase because (Power=work/time).
What happens to a freely falling object's speed as it descends?A falling object gains momentum as it descends.
An increase in air resistance is caused by a speed increase.
At some point, the force of air resistance grows strong enough to counteract the pull of gravity.
Since there is no net force at this point, the object will stop accelerating.
Although the direction and magnitude of velocity fluctuate, the acceleration caused by gravity remains constant and downward.
The ball has zero velocity at the highest point in its trajectory, and it picks up speed as it descends back toward the earth.
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An egg is dropped from a treehouse and takes 1.5 seconds to reach the ground. We can ignore air
resistance.
What is the egg's displacement?
11 m
Explanation:
d = 1/2 a t^2
= 1/2 (9.81)(1.5)^2 =11 m