3.
A traffic light is suspended by two cables. What
should be the angle between the cables (0) so that the
tension in each cable will be equal to the weight of the
traffic signal light (W=T, = T)?
Answers
Answer:
120°
Explanation:
Draw a free body diagram. There are three forces acting on the traffic light. Two tension forces acting along the cables, and weight.
The tension forces have an angle θ between them. That means each tension force forms an angle of θ/2 with respect to the vertical. So the y component of each tension force is:
Ty = T cos (θ/2)
Sum of the forces in the y direction:
∑F = ma
Ty + Ty − W = 0
2 Ty = W
Substituting:
2 T cos (θ/2) = W
If W = T, then:
2 W cos (θ/2) = W
2 cos (θ/2) = 1
cos (θ/2) = 1/2
θ/2 = 60°
θ = 120°
The angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°
Let
Ф = the angle between the cables.T = the tension in cable 1, T' = the tension in cable 2 and W = the weight of the traffic lightNow, the angle between the tension and the vertical is α = Ф/2.
Net force on vertical force on traffic lightThe net force vertical force on the traffic light is F = Tcosα + T'cosα - W
Since the traffic light is in equilibrium, we have that F = 0
So, F = Tcosα + T'cosα - W
Tcosα + T'cosα - W = 0
Tcosα + T'cosα = W
Now, since the tension in each cable equals the weight of the traffic light, T = T' = W.
So, Tcosα + T'cosα = W
Wcosα + Wcosα = W
2Wcosα = W
cosα = W/2W
cosα = 1/2
α = cos⁻¹(1/2)
α = 60°
Angle between the cablesSince α = Ф/2
Ф = 2α
Ф = 2(60°)
Ф = 120°
So, the angle between the cables Ф so that the tension in each cable will be equal to the weight of the traffic signal light is 120°
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Related Questions
I will make you brainliest! Very Easy question!!!!
How can you define synthetic material and natural material?
Answers
Answer:
Synthetic Materials are man-made; natural materials are only warmer than synthetic materials, if the natural material is obtained from an animal. Wool is warmer than any synthetic material available, but polyester (a synthetic material) can be warmer than cotton (a natural plant-based material).
Use the data provided to calculate the gravitational potential energy of each cylinder mass. Round your answers to the nearest tenth.
3 kg: ____kJ
6 kg: ____kJ
9 kg: ____kJ
Answers
Answer: 14.7kJ, 29.4kJ, 44.1kJ
Explanation:
The gravitational potential energy is the energy that a body or object possesses, due to its position in a gravitational field.
In the case of the Earth, in which the gravitational field is considered constant, the value of the gravitational potential energy [tex]U_{p}[/tex] will be:
[tex]U_{p}=mgh[/tex]
Where [tex]m[/tex] is the mass of the object, [tex]g=9.8m/s^{2}[/tex] the acceleration due gravity and [tex]h=500m[/tex] the height of the object.
Knowing this, let's begin with the calculaations:
For m=3kg
[tex]U_{p}=(3kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=14700J=14.7kJ[/tex]
For m=6kg
[tex]U_{p}=(6kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=29400J=29.4kJ[/tex]
For m=9kg
[tex]U_{p}=(9kg)(9.8m/s^{2})(500m)[/tex]
[tex]U_{p}=44100J=44.1kJ[/tex]
The period and frquency of a wave are inversely related true or false
Answers
Answer:
True
Explanation:
As frequency increases, the length of the wave (period) decreases.
As frequency decresaes, the length of the wave (period) increases.
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The statement is true; period and frequency have an inverse relationship because the period is the time for one complete wave cycle and frequency is the number of cycles that occur per second.
The statement that the period and frequency of a wave are inversely related is true. The period (T) of a wave is defined as the time for one complete wave cycle, whereas the frequency (f) is the number of waves that pass a point in one second. Because these two quantities measure opposite concepts - time per cycle versus cycles per time - their relationship is inherently inverse, which can be represented mathematically as f = 1/T. Considering electromagnetic waves, we acknowledge that as the wavelength increases, the frequency decreases, demonstrating again the inverse relationship. Similarly, a higher frequency means waves have less time between cycles, leading to a shorter period. This principle is a fundamental concept in wave physics and applies to all types of waves, including sound, light, and mechanical waves.
A body has density of 2kg/m² and volume 2m². Find the mass of the volume
Answers
Answer:
4kg
Explanation:
density is mass/ volume, 4/2= 2
Answer:
The mass is 4kg
Explanation:
Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,
Density = mass/volume
Mass is measured in kilogram (kg)
Volume is measured in m³
From the formula;
Mass = Density × volume
Mass = 2kg/m³ × 2m³
Mass = 4kg
what are the full forms of RADAR and SONAR
Answers
Answer:
RADAR and SONAR. Although they rely on two fundamentally different types of wave transmission, Radio Detection and Ranging (RADAR) and Sound Navigation and Ranging (SONAR) both are remote sensing systems with important military, scientific and commercial applications
Explanation:
the pressure of 20cm of mercury is a.27200 n/m2 b.27500n/m2 c.28000n/m2 d.29000n/m2
Answers
Answer:
im note too sure
Explanation:
please ask again later
A man holding 7N weight moves 7m horizontal and 5m vertical , find the work done
Answers
The work done by the man is 35 joules. This work is only done in the horizontal direction because work is the product of force and displacement in the direction of the force.
Work done is calculated by the formula Work (W) = Force (F) imes Distance (d) imes cos( heta), where heta is the angle between the force and the direction of the displacement. Since the force is in the horizontal direction and the displacement is also horizontal, heta is 0 degrees and therefore, cos( heta) = 1. For the vertical movement, the force exerted by the man does not contribute to the work done on the weight since the displacement is perpendicular to the force applied. Hence, the work done while moving vertically is zero. The total work done is then the sum of the work done horizontally and vertically, which is 35 joules + 0 joules = 35 joules.
What is the resistance of a circuit with a voltage of 10 volts (V) and a current of 5 amps (A)? Use Ohm’s law to calculate the resistance.
Answers
Answer: 2Ω
Explanation:
V = IR
R = V/I
R = 10/5 = 2Ω
Hope it helped!
A circular track begins at O meters and has a total distance of 100 meters. Juliet starts at the 10-meter mark while practicing
for a race.
After running 45 meters, how far is she from the beginning of the track?
10 meters
35 meters
45 meters
55 meters
Answers
Answer:
55 meters
Explanation:
She started at the 10 meter mark, and ran 45 meters. So her final position is:
10 m + 45 m = 55 m
She is 55 meters from the beginning of the track (the 0 meter mark).
Answer:
55 meters
Explanation:
If Juliet starts at the 10-meter mark while practicing for a race, after running 45 meters, she is 55 meters from the beginning of the track.
10 m + 45 m = 55 m
some fuel cells are powered by hydrogen scientists are looking into the decomposition of water to make hydrogen fuel with the help of the sun's energy what challenge do scientists face with this task
A) Decomposing water requires high activation energy
B) The sun isn't a renewable resource
C) Decomposing water results in toxic byproducts
D) Scientists are uncertain what to do with the excess oxygen
Answers
Answer:
A) Decomposing water requires high activation energy
Explanation:
The sun is a renewable resource, because the solar energy we use is less than the solar energy being created. Decomposing water produces hydrogen gas and oxygen gas, which aren't toxic. The oxygen is used in the combustion of the hydrogen gas. However, splitting water molecules into hydrogen and oxygen takes a lot of energy.
Answer:
A Decomposing water requires high activation energy
Explanation:
which letter represents the wavelength of the wave?
A: a
B: b
C: c
D: d
Answers
Answer:
D
Explanation:
Shows the distance between each new wave.
The letter in the image, that represents the wavelength or the distance traveled by the wave is letter d.
What is wavelength?The wavelength of a wave is the distance traveled by the wave. This distance can be from one crest to another or from crest of a wave to the trough of a wave.
When the distance is between two successive crest or trough, it becomes one wavelength.
From the given image, the letter that represents the wavelength of the wave is letter d.
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Does the size of the particles change as the substance changes state?
Answers
Answer:
Particles stay the same unless there is a chemical change whether the matter is solid, liquid or gas.
Explanation:
When substances change state there is no change in mass so if 100 g of ice is melted 100g of water are formed this will boil to form 100g of steam (this is called "conservation of mass").
Answer:
No. The size of the particles in the substance remains the same when the state of matter changes.
Explanation:
In the equation Ca(s) + 2H2O(l) -->Ca(OH)2(aq) + H2(g) list each element used as a reactant, and tell how many atoms of each are needed for this reaction.
Answers
The reactants are Calcium, Hydrogen and Oxygen.
We need 1 atom of Calcium, 4 atoms of Hydrogen and 2 atoms of Oxygen.
Hope this helps.
r3t40
Which set of data would be best illustrated with a bar graph?
the effect of hours spent exercising on heart rate
the number of skyscrapers in 5 different cities
an illustration of how the humidity in the air responds to the temperature of the air
data showing how the number of hours spent studying affects the score on an exam
Answers
Answer:
the number of skyscrapers in 5 different cities ( second choice)
Answer:
the number of skyscrapers in 5 different cities
Explanation:
A bar graph is a perfect way to show the relation between two components where the components are not variable. Here if you look at second option, the two components are: No. of skyscraper and cities. It is evident that the skyscraper's no. is not a variable and will remain fixed.
While if you look at the other option, the components are variable and thus can not be represented on a bar graph.
How did the transcontinental railroad impact travel?
A. It allowed passengers to travel from Chicago to New York.
B. It allowed passengers to travel from Canada to Florida.
C. It allowed passengers to travel from Maine to Florida.
D. It allowed passengers to travel from the Atlantic Ocean to the Pacific.
Answers
Answer:
D
Explanation:
The transcontinental railroad was worked on from both sides of America. At the Pacific Ocean and the Atlantic Ocean. The purpose was to make travel easier from one side of the country to the other, and to get American items to the east and west of America for export to other countries, as well as a few other reasons such as building up the interior of America.
The transcontinental railroad revolutionized travel by connecting the Atlantic and Pacific coasts, transforming trade and transportation in the United States.
The transcontinental railroad impacted travel by allowing passengers to travel from the Atlantic Ocean to the Pacific. This monumental achievement connected the West Coast with the eastern rail networks, transforming cross-country travel and trade. It spurred the growth of hub cities like Chicago, which became vital for managing the extensive railroad networks.
The first law of thermodynamics describes how the heat added to a system is conserved. Heat the internal energy of the system or is transformed into , or both. Heat is just transformed, not created or destroyed.
Answers
Answer:
The first law of thermodynamics describes how the heat added to a system is conserved. Heat
⇒ increases the internal energy of the system or is transformed into
⇒ work, or both. Heat is just transformed, not created or destroyed.
Explanation:
edge 2020
The first law of thermodynamics states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system. This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.
Explanation:The first law of thermodynamics is a fundamental principle that applies to energy conservation in thermodynamic systems. It states that the change in internal energy of a system is equal to the net heat transfer into the system minus the net work done by the system.
In equation form, the first law of thermodynamics is represented as AU = Q - W, where AU is the change in internal energy, Q is the net heat transfer, and W is the net work done by the system.
This law emphasizes that energy can be transferred into or out of a system through heat or work, but it cannot be created or destroyed.
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an object in uniform circular motion must be changing its speed in order move in a circular path
Answers
Answer:
False
Explanation:
An object in uniform circular motion must be changing its velocity in order to move in a circular path.
In fact, remind that velocity is a vector which consists of a magnitude (the speed) and a direction.
When an object is moving in uniform circular motion, the direction of the motion is constantly changing (since the trajectory is a circle): so, this means that the velocity is also changing. However, this does not imply that the speed of the object is changing. In fact, in a uniform circular motion, the speed of the object remains constant.
A wheelbarrow is a compound machine
True
False
Answers
true
A wheelbarrow is a compound machine made up of a lever and a wheel and axle. The handles of the wheelbarrow act as levers to lift materials.
True
Wheelbarrow is a compound machine.
What happens to incoming light rays that are parallel to the principal axis of a convex lens? A. They converge at the focal point. B. They diverge away from the principal axis. C. They converge beyond the focal point. DO. They diverge from the focal point.
Answers
Answer:
D. They diverge from the focal point.
Explanation:
Incoming light rays diverge from the focal point is they are parallel to the principal axis of a convex lens.
Answer:
They diverge from the focal point.
Explanation:
A convex lens is also called as converging lens. If the rays of light are parallel to the principal axis of a convex lens, it passes through the focal point of the lens.
For a converging lens, the ray of light diverge from the focal point of the lens. The image formed by a convex lens is real and inverted. When the object is placed between the focus and the optical center, the image is virtual and erect.
So, the correct option is (d) "They diverge from the focal point".
A measure of the force that moves charges through a conducting material
Answers
Answer:
Voltage
Explanation:
Answer:
the answer of this is voltage
A 225 kg block is pulled by two horizontal forces. The first force is 178 N at a 41.7-degree angle and the second is 259 N at a 108-degree angle. What is the x and y component of the total force acting on the block?
Answers
Answer:
52.9 N, 364.7 N
Explanation:
First of all, we need to resolve both forces along the x- and y- direction. We have:
- Force A (178 N)
[tex]A_x = (178 N)(cos 41.7^{\circ})=132.9 N\\A_y = (178 N)(sin 41.7^{\circ})=118.4 N[/tex]
- Force B (259 N)
[tex]B_x = (259 N)(cos 108^{\circ})=-80.0 N\\B_y = (259 N)(sin 108^{\circ})=246.3 N[/tex]
So the x- and y- component of the total force acting on the block are:
[tex]R_x = A_x + B_x = 132.9 N - 80.0 N =52.9 N\\R_y = A_y + B_y = 118.4 N +246.3 N = 364.7 N[/tex]
Answer:
x: 52.9
y: 364.7
Explanation:
What is the name of the system for conducting a scientific investigation?
Please need help
Answers
Answer:
The scientific method
Explanation:
Answer:
the answer would be Scientific method !
Explanation:
:)
Hybrid seeds are deliberately crossbred for particular traits, such as growth pattern or disease resistance. They have been hand-pollinated and are patented, often sterile, and genetically identical within food types. These plants are usually grown in a monocultural environment and are cultivated for mass production and sale. They must be sturdy to withstand mechanical picking and cross-country shipping. They do not compare to the quality and taste of heirloom plants, but they do produce large, healthy fruit that appeals to most shoppers. Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.
Which statement can be removed and not affect the excerpt’s reliability?
Answers
Answer:
Unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again.
Explanation:
The statement that can be removed without affecting the reliability of overall paragraph is, "unlike heirloom seeds, if one saves a hybrid seed, one will not get the same plant again". This is because even if we remove this line, the paragraph still looks completely understandable, reliable and in a flow.
If we talk about hybrid plants, we know that they are produced through cross pollination of the crops with desired traits. Although they are sterile and cannot produce offspring, however the plants which are raised from these seeds are edible and quite healthy. This is why these plants have better yield and a better resistance against environmental constraints like diseases and stresses. After the production, hybrid seeds are stored and they are able to produce plants of similar types.
Hope it helps!
Answer:
C on edg
Explanation:
During a workout, a football player pushes a blocking dummy a distance of 30 m. While pushing the dummy the same distance a second time, what would the player need to change to be certain that power output increases?
Answers
Explanation:
Power = work / time
Work = force × distance
Therefore:
Power = force × distance / time
Since the distance is the same, he would have to either increase the force he exerts or decrease the time (increase his velocity) in order to increase the amount of work done.
Answer:
The correct answer is B) The player would need to use a greater force and take less time.
Explanation:
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can i get brainliest plz
Describe how one plays Dr.Dogeball
Answers
•Next, select one person from each team to be the doctor (depending on the size of the teams you can have varying amounts of doctors)
•Continue to play dodgeball how you normally would
•When a player gets hit and is “out” they have to sit on the ground and wait for the doctor to “revive them” (this usually requires the doctor dragging,touching, or moving the player that is out to a “revival place” which is usually decided on by the advisor or person in charge.
•Finally, try to get all the doctors and players out from the other team. Get the doctors first, for they cannot revive themselves. Which means the other players are out after they get hit with a ball since the doctors are out. (Some games are played where if all doctors are out the game ends)
Hope this helped! Play on! And plz mark brainliest lol this was long to write :D
Final answer:
Dr. Dodgeball is a playful game in which one player, as the virus, hits others with a sensory ball or tags them with their elbow. Those hit must 'self-isolate' or get 'vaccinated' by designated doctors to stay in the game.
Explanation:
How to Play Dr. Dodgeball
Dr. Dodgeball is an imaginative game inspired by current events and offers an interactive understanding of various concepts such as self-isolation and cooperation. To play the game, one player assumes the role of the virus, tasked with hitting their peers with a sensory ball on a trampoline.
If a player is struck by the ball, they must 'self-isolate' on the edge of the trampoline. This 'isolation' involves counting to 10 and can happen up to three times. On the fourth hit, the player performs a dramatic cough and pretends to 'die'.
In another variation, the virus player tags people with their elbow. Once tagged, a player has 10 seconds to receive a 'vaccine' from one of the two players acting as doctors by being untagged with an elbow touch. If a doctor manages to tag the original virus player, the game ends, and either the roles rotate or the same doctor becomes the new virus for the next round.
The game is flexible and can be played in various settings including neighborhoods, parks, and even remotely using mobile devices.
Overall, Dr. Dodgeball can be described as a playful way to engage in physical activity while incorporating themes from the health world, such as virus transmission and preventive measures, into the gameplay.
A car travels 60 m/s for 10 seconds
Calculate how far it traveled.
Answers
Answer:
600 m
Explanation:
60 meters / second is 60 meters traveled in one single second.
in ten seconds, it would be 10 times the amount in one second.
so 60 meters / second times 10 seconds = 600 meters.
Answer: 600 meters
Explanation: 60 meters per second so 60 times 10
What is the importance of the International Space Station?
Answers
Answer:
The main purpose of International Space Station is to provide an international labotary for experiment within the space environment. Which, despite all our technological advances, is nearly impossible to replicate here on Earth.
ISS is also a laboratory to prepare us for the next level of the space exploration and the long duration exposure to space that comes with that.
The strength of gravitational force is affected by the mass of objects and which of the following?
Answers
Answer:
The distance between two objects
Explanation:
Depending on how far away or how close two objects are will affect the gravity.
Gravitational force strength depends only on two factors, mass of objects and distance between the objects.
Explanation:
The distance between two objects experiencing the gravitational force are in inverse relationship in proportionality.
That is, when distance between two increases, “strength of gravitational force decreases”, and vice versa. If the one of the mass is doubled, force of gravity also doubles and if it increases, force of gravity also increases.
identify the type of synthetic material used in each object. is it alloy, ceramic, polymer?
tuba -
paper -
Pot -
Answers
Answer: tuba- alloy
paper-polymer
pot- ceramic
Explanation:
Answer:
Tuba - Alloy
Paper - Polymer
Pot - Ceramics
Explanation:
Alloy : An alloy is a substance which made up of two more than two types of metal.It is uniform solid substance. For example : brass, steel etc
Ceramics: Articles , figures made up of clay which are hardened by the action of heating. For example : pots, crockery etc.
Polymer: These are the substance composed repeating units of of same chemical units which held together by covalent bonds.The single chemical unit is known as monomer. For example : plastic , rubber etc.
Tuba is an musical instrument similar made up of brass. And brass is an alloy of copper and zinc. Hence, an alloy.
Paper is majorly made up of wood pulp.And Wood pulp consists cellulose which is a polymer of glucose molecule.Hence, polymer.
Pot is made up of clay and heated to hardened them.Hence, ceramics.
A cylindrical piece of aluminum is 6.00cm y’all and 2.00cm in radius how much does it weigh
Answers
Answer:
2.00 N
Explanation:
Weight is mass times gravity:
W = mg
Mass is density times volume:
m = ρV
Volume of a cylinder is:
V = πr²h
Finding the volume:
V = π (2.00 cm)² (6.00 cm)
V = 75.4 cm³
The density of aluminum is 2.7 g/cm³. Finding the mass:
m = (2.7 g/cm³) (75.4 cm³)
m = 204 g
Finding the weight:
W = (0.204 kg) (9.8 m/s²)
W = 2.00 N
The aluminum cylinder weighs 2.00 N.