The Total energy of the ball is 2.26J, the Speed of the ball is 4.47 m/s, the ball's kinetic energy and gravitational potential energy at the top and bottom are 2.26J and 0.96J, and the Horizontal distance is 0.88m.
We calculated as follows:
a. The total energy of the ball is equal to the sum of its kinetic energy and gravitational potential energy. At the top of the circle, the ball has a kinetic energy of (1/2)(0.10 kg)(6.0 m/s)^2 = 0.30 J. The gravitational potential energy of the ball at the top of the circle is (0.10 kg)(9.8 m/s^2)(0.20 m) = 1.96 J. The total energy of the ball is therefore
0.30 J + 1.96 J = 2.26 J.b. The speed of the ball at point p is given by the equation v = sqrt(2gh), where h is the height of point p above the floor and g is the acceleration due to gravity. Substituting the given values, we find that
v = sqrt(2(9.8 m/s^2)(0.20 m)) = 4.47 m/s.c. i. At the top of the circle, the tension in the thread is equal to the sum of the ball's kinetic energy and gravitational potential energy. This is equal to 2.26 J.
ii. At the bottom of the circle, the tension in the thread is equal to the sum of the ball's kinetic energy and gravitational potential energy. This is equal to
(1/2)(0.10 kg)(4.47 m/s)^2 + (0.10 kg)(9.8 m/s^2)(0.20 m) = 0.96 J.d. The horizontal distance traveled by the ball before hitting the floor is given by the equation x = v^2/g, where v is the speed of the ball at point p and g is the acceleration due to gravity. Substituting the given values, we find that
x = (4.47 m/s)^2/(9.8 m/s^2) = 0.88 m.Learn More about Kinetic Energy here:
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true or false: a tennis ball following a parabolic trajectory without air resistance has two forces acting on it; gravity downward and a force keeping it moving forward.
A tennis ball following a parabolic trajectory without air resistance has two forces acting on it; gravity downward and a force keeping it moving forward this statement is false.
What exactly is "projectile motion"?Objects fired into the air and traveling in that direction are referred to as projectiles. After the initial force that drives it, an object only perceives gravity. The projectile's route is the path that the object takes as it moves. Projectile motion can take one of three main kinds. horizontal projectile motion an oblique projectile motion. the trajectory of a missile moving upward.
What two things affect how a projectile moves?The following are the key elements influencing projectile motion:
The launch's inclination: The item will go either vertically or horizontally depending on the angle at which it is thrown. Initial speed: The higher and farther an item may travel, the faster its initial launch speed must be.To know more about Projectile Motion visit
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The diagram below represents a wave.
What is the speed of the wave if its wavelength is 3.0 m?
The speed of the wave is determined as 18 m/s.
option D is the correct answer.
What is the speed of the wave?
The speed of the wave is the rate of change of wave's displacement with time.
The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.
v = fλ
where;
v is the speed of the wavef is the frequency of the waveλ is the wavelength of the waveThe frequency of the wave is calculated as follows;
f = 1 / T
where;
T is the period of the waveThe period of a wave is the time taken for the wave to complete one cycle.
In the picture given, 3 cycles of the wave = 0.5 s
1 cycle of the wave = ?
= 0.5 s / 3
= 0.16667 s
f = 1 / T
f = 1 / 0.16667
f = 6 Hz
The speed of the wave is calculated as follows;
v = fλ
v = 6 Hz x 3 m
v = 18 m/s
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Which climate favors mechanical weathering?
Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.
What is mechanical weathering and what climate they favour?Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.
Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.
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A microwave oven connected to a 120 V outlet operates at a current of
8.7 A. What is the resistance of the microwave oven? If the microwave oven
is operated exactly 1 hour each day for 28 days, what is the total energy
used in joules?
According to the data on the label, the microwave oven requires 120 volts of alternating (AC) to work and uses 5 amps (amperes) in current while in use.There is a 6.0 resistance.To compute watts, you also can multiply the microwave's amps by the outlet's volts.After obtaining the wattage, divide it by 1000 to obtain kilowatts.
How can you calculate how much energy a device uses in an hour?Power multiplied by time is equal to electricity.The total amount of energy is spent depending how much energy each one of your electronic devices requires overall and also how long it are left on now in your home.One thousand volts of energy are used during one hour to make one kilowatt.
How are energy estimations for ovens done?Usually, ovens require between 2000 & 5000 watts.To obtain a feel of your oven's wattage, the quantity from watts to kilowatts, divide it by 1000.
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The speed of light in a certain glass is 1.91×10^8 meter per second. What is the refractive index of the glass?
Answer: 1.57
Explanation:
absolute refractive index = [tex]\frac{speed of light in air}{speed of light in a medium}[/tex]
[tex]= > \frac{3 * 10^{8} }{1.91* 10^{8} } \\= > 1.57[/tex]
it’s actually 7th grade science no physics pls answer it’s a lot of points
What do the historical communication technologies in these photos have in common?
(pictures are shown below)
All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.
What is communication?We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.
We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.
However, all the tools shown could be used to send information in times of emergency.
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What will happen to the pitch when a car with a blowing horn is approaching, according to the doppler effect?
Answer: The sound will increase in pitch.
Explanation:
According to the Doppler Effect, sounds will increase in pitch as they are nearing the listener, and then decrease in pitch as the sound moves further away. This is because when sound waves travel a shorter distance, the waves are more compact (higher frequency), producing a higher pitch. The further a listener is from the sound, the lower the pitch because the sound waves are more spread apart (lower frequency).
a set of waves has a frequency of 28 hz and a speed of 7 m/s. what is the wavelength of the waves in meters?
Wavelength of the waves in meters is 4m.
What is wavelentgh?Wavelength is the distances between identically any points (adjacent cresta) in the adjacent cycles of a wave form signals propagates in spaces or along side a wire. In wireless system's, this lengths is usually specifies in meters (m), centimetres (cm) or millimetres (mm).
To solve this equation first we have to use the wave formulation -
V= fλ
As we know
v= velocity
f= frequency
λ=wavelength
We know the frequency and the velocity of the both elements which have good unit's. All we have to do is rearranged the equations and solve for λ.
λ= v/f
Let's calculate both the value to get our main answer-
λ= 7m/s / 28s^-1
λ= 4m
Thus, the wavelength is 4m.
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If an object has constant velocity, then one can be sure that the object is not ____.
Answer:
accelerating
Explanation:
untill an unbalanced force acting on a body, object at rest remain stationery while object on motion continue moving in constant velocity.
no resultant force means no acceleration.
2. An energetic golden hamster (Mesocricetus auratus) is running at a
constant speed on its frictionless exercise wheel (25.0 cm diameter,
weighing 25.0 g). If the hamster is considered part of the exercise wheel
system (his efforts are internal to the system), how much work is being
done on the hamster-wheel system?
The work done by the hamster-wheel system is 0.0625 J.
What is work done in a system or by a system?The work done by a system or on a system is a measure of the energy input used to do useful work such as moving an object a given distance when force is applied.
Work done is defined as the product of the force applied and the distance moved by the force applied in the direction of the applied force.
Mathematically;
work done = force * distanceThe unit of the applied force is Newton; the unit of the distance moved is in meters and the unit of measurement of work done is Joules.
The work done by the hamster-wheel system is given below:
Force of the hamster = mass * acceleration due to gravity
Force on hamster = 25/ 1000 * 10
Force = 0.25 N
Distance = 25.0 cm or 0.25 m
Work done = 0.25 * 0.25
Work done = 0.0625 J
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inside a washing machine, the radius of the cylinder where the clothes sit is 0.50 m. in one of its settings the machine spins the cylinder at 2.0 revolutions per second. what is the acceleration of an item of clothing?
Answer:
Approximately [tex]79\; {\rm m\cdot s^{-2}}[/tex].
Explanation:
Apply unit conversion and ensure that angular velocity [tex]\omega[/tex] is in radians per second. The angular displacement of each revolution is [tex]2\, \pi[/tex] radians. Therefore:
[tex]\begin{aligned} \omega &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \\ &= \frac{2.0\; \text{revolution}}{1\; {\rm s}} \, \frac{2\, \pi}{1\; \text{revolution}} \\ &= (4.0\, \pi)\; {\rm s^{-1}} \\ &\approx 12.566\; {\rm s^{-1}}\end{aligned}[/tex].
The clothes in this laundry machine are in a centripetal motion. The radius of the motion is [tex]r = 0.50\; {\rm m}[/tex], and the angular velocity of the clothes is [tex]\omega \approx 12.566\; {\rm s^{-1}}[/tex]. The acceleration of the clothes will be:
[tex]\begin{aligned}a &= \omega^{2} \, r \\ &\approx (12.566\; {\rm s^{-1}})^{2} \, (0.50\; {\rm m}) \\ &\approx 79\; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
an object in shm oscillates with a period of 4.0 s and an amplitude of 16 cm. part a how long does the object take to move from x
The object takes to move is 0.409s.
Calculaiton:
time period T = 4 s
Angular speed ω = 2π/T= 1.57 rad/s
SHM equation
x = A sin ωt
6 = 10 sin(1.57t)
sin(1.57t) = 0.6
1.57 t = 0.6435
t= 0.409s.
The amplitude of a periodic variable is a measure of its change over one period. The amplitude of an aperiodic signal is its magnitude relative to a reference value. Amplitude has various definitions, all of which are functions of the magnitude of the difference between extreme values of a variable. It refers to the maximum displacement from equilibrium exhibited by a body in periodic motion.
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if the sound wave lasts 4 seconds, how much distance did it travel? (please help me)
Answer:
A wave is a disturbance that moves along a medium from one end to the other. If one watches an ocean wave moving along the medium (the ocean water), one can observe that the crest of the wave is moving from one location to another over a given interval of time. The crest is observed to cover distance. The speed of an object refers to how fast an object is moving and is usually expressed as the distance traveled per time of travel. In the case of a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given interval of time. In equation form,If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s. On the other hand, if the crest of an ocean wave moves a distance of 25 meters in 10 seconds (the same amount of time), then the speed of this ocean wave is 2.5 m/s. The faster wave travels a greater distance in the same amount of time.
Explanation:
Answer:170
Explanation: 0.50
can also be written as
1
2
.
0.50
seconds is half of a second.
if the wave travels
340
m
every second, it will travel half of that distance in
0.50
seconds.
340
⋅
1
2
=
340
2
=
170
in half of a second, the wave will have travelled
170
metres away from its source.
The aircraft has a take-off mass of 320 000 kg. Each of the 4 engines can produce
a maximum force of 240 kN.
Calculate the maximum acceleration of the aircraft.
Show clearly how you work out your answer and give the unit.
Acceleration =
Answer: maximum acceleration of an aircraft is 3 m/s².
Explanation:
1 kN = 1000 N
240 kN = {240 * 1000} N
⟹ 240000 N
four engine force = 4 * 240000 ⟹ 960000 N
GIVEN:
Mass of aircraft = 320000 kg
Force produce by four engine = 96000
FORMULA: (F = M * A ) force = mass * acceleration
960000 = 320000 * a
a = 960000/320000
a= 96/32
a=3 m/s²
a spaceship is traveling through space. suddenly, its speed increases. what can you say about the kinetic energy of the spaceship?
Through space, a spacecraft is moving. It picks up speed abruptly. How would you characterize the spacecraft's kinetic energy? As the speed rises, the kinetic energy does too.
In plain English, what is kinetic energy?An object's kinetic energy refers to the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an object. We have to put forth work to apply a force. After the job is finished, the object will be travelling at a new, constant speed because energy has indeed been transferred to it.
What is kinetic energy, and how is it used?Velocity is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from the a tabletop, as well as a charged particle inside an electric field all are instances of objects in motion that use kinetic energy.
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how much time does it take for a student running at an average speed of 5 ms to cover a distance of 2km
It will take the student 400 seconds (or 6 minutes and 40 seconds) to cover a distance of 2km at an average speed of 5 m/s.
It would take a student running at an average speed of 5 ms approximately 400 minutes or 6.67 hours to cover a distance of 2km. This is calculated by dividing the distance (2km) by the speed (5 ms) and multiplying the result by 60 minutes, which gives a total of 400 minutes.
1. Convert the distance from kilometers to meters:
2 km = 2000 m
2. Calculate the time it takes for the student to cover the distance:
Time = Distance / Speed
Time = 2000 m / 5 m/s
Time = 400 s
3. Convert the time from seconds to minutes:
Time = 400 s / 60 s/min
Time = 6.67 min
In addition, when breaking down the time it would take, the student would have to maintain a steady pace in order to cover the 2km in the most efficient manner. This would mean running for 40 minutes at a time, with a 5-minute break in between each 40-minute run, for a total of 8 runs to complete the distance.
It is important for the student to remember to stay safe and hydrated when running for such a long duration. It might be a good idea for the student to have a companion with them to help maintain their pace and provide motivation as well.
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two people are on a train that is moving at 10 m/s north. they are walking 1 m/s south relative to the train. relative to the ground, their motion is 9 m/s north. why are we able to use these motions to describe the motion relative to the ground?
We are able to use these motions to describe The people are moving much slower than the speed of light so the ground acts as a frame of reference. The correct option is A.
What is motion example?Motion is the visa free travel of a body in relation to time. For instance, the fan, the carpet's dust blowing off of it, the water running from the faucet, a ball spinning around, sound moving automobile, etc. Even the cosmos is always changing.
Is force in motion?Motion is only motion that needs an external force to operate upon it. Example of forces that may speed up or slow down a lot include pushing and tugging. At-a-distance forces and contact forces are the two different forms of forces. Additionally, mass and friction are crucial.
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The complete question is -
Two people are on a train that is moving at 10 m/s north. They are walking 1 m/s south relative to the train. Relative to the ground, their motion is 9 m/s north.
Why are we able to use these motions to describe the motion relative to the ground?
A-The motion of everything in the Universe besides light can be described in this way.
B- The people are moving much slower than the speed of light so the ground acts as a frame of reference.
C- As long as the frame of reference is stationary, all motion can be described in this way.
D-If one object is moving much slower than the speed of light, its speed can be added to that of another object.
5. if the star sirius emits 23 times more energy than the sun, why does the sun appear brighter in the sky? include the terms luminosity and apparent brightness in your response.
The star Sirius is indeed brighter but our Sun appears to be brighter because it is closer to us.
The intrinsic luminosity of Sirius is exactly 25.4 times more than the sun but if we compare the distances of these stars, Sirius is 8.6 light years away from us and the Sun is just 8 light minutes away from us. This marks the obvious reason why our Sun appears more bright.
Even mathematically, it can be justified as the apparent brightness of any luminous object depends on the inverse square of the distance of that luminous object. Therefore the sun's light energy dominates our sky and we can't see any traces of Sirius from the earth.
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7. What is the weight of a ball with a mass of 0.77 kg? (hint: how fast is gravity?)
Answer:
While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).
On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)
Explanation:
a series lr circuit consists of a 2.0-h inductor with negligible internal resistance, a 100-ohm resistor, an open switch, and a 9.0-v ideal power source. after the switch is closed, what is the maximum power delivered by the power supply? group of answer choices 81 w 0.40 w 8.1 w 0.81 w 0.090 w
The maximum power delivered by the power supply is 0.81W.
What is lr circuitAn RL Series Circuit is one that has an inductance L coil and a resistance R connected in series with each other. when the current element I flowing in the circuit is crossed by a supply voltage (V).
A series configuration of an inductor and a resistor is known as an LR circuit. A voltage source, such as a battery, and a switch are connected to this circuit. Here, the wire that makes up an inductor's coil has a DC resistance, or R.
Maximum power is delivered when current in circuit is maximum.
Maximum current is obtained after long time when inductor is shorted.
Maximum current is I = 9V/100
Maximum powder = VI = (9v)(9v)/100
Maximum power delivered= 0.81W.
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fill in the blanks
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer: Kinetic energy is the energy an object has because of its motion
(if it needs to be a one worded answer than just type motion)
The potential energy of an object depends on its mass and its height.
The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.
Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.
As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.
Design a safety restraint or device for a motorcycle 4-wheeler or go-kart. Design may be drawn or describe. Be sure to explain how your devices protects the driver against collision forces.
this is very urgent, please help!!
Answer:
Explanation:
One possible safety restraint or device for a motorcycle 4-wheeler or go-kart could be a roll cage. A roll cage is a structure that surrounds the driver and is designed to protect them in the event of a rollover or collision.
The roll cage would be made of strong, lightweight material such as steel or aluminum tubing. It would be attached to the frame of the 4-wheeler or go-kart and would extend upward to surround the driver's head and shoulders. The roll cage would also have additional bracing to provide additional support and protection in the event of a collision.
In the event of a rollover or collision, the roll cage would help to distribute the forces of the impact evenly around the driver, protecting them from the full force of the collision. The additional bracing would also help to prevent the roll cage from collapsing or deforming, providing additional protection for the driver.
In addition to the roll cage, the driver could also wear a safety harness or seat belt to help keep them securely attached to the vehicle and prevent them from being thrown out in the event of a collision. This would provide additional protection against the forces of a collision.
a car accelerates uniformly from rest to 25 m/s over a distance of 30 meters. what is the acceleration of the car?
Answer:
a=25/24 m/s^2
Explanation:
I’m going to assume you mean the final velocity is 25m/s.
v^2=u^2+2as
625=0+2a300
a=25/24 m/s^2 or 1.0416^_ (period 1) ^m
a car is stopped at a traffic signal. when the light turns green, the car accelerates from 0 to 4.1 m/s in 0.526 seconds. what is the average force in n (newtons) experienced by a passenger of mass 81.9 kg in the car when the car accelerates?
Car acceleration is 7.794 m/s2 and the average force F is 638.32 N.
Because the passenger is in the car, the passenger experiences the same velocity and acceleration as the car.
Linear impulse equals mass times a change in speed (Vf - Vi)
Initial velocity is Vi, whereas ultimate velocity is Vf.
When the passenger's mass,
m(mass), is 81.9 kg,
the linear impulse is 81.9 kg ×(4.1 - 0)
= 335 kgm/s.
F(average) = m × acceleration
Acceleration = Vf - Vi/ t
Acceleration= 4.1 - 0 ÷0.526
Acceleration= 7.794 m/s²
F(average) = 81.9 kg × 7.794 m/s²
F = 638.32 N
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an increase in sound level from 30 db to 50 db requires an increase in sound intensity by a factor of:
Loudness increases by 10 dB for every dB increase in sound intensity. A 40-decibel light rainstorm is 100 times louder than a whisper, whereas a 30-decibel "silent" room is 10 times louder than a 20-decibel whisper. Loud noises can be harmful.
50 dB is how much louder than 20 dB?A 10 dB rise results in a two-fold increase in volume. The loudness will therefore rise by nearly 8 times with a 30 dB increase (from 20 dB to 50 dB).
Decibels are measured on a logarithmic scale using a power of ten, which might be perplexing. For those of you without advanced math degrees, this simply implies that the sound intensity doubles for every 10 decibel rise.
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1. a 1.4 x 103 kg car is westbound at a velocity of 37.0 km/h when it collides with a 2.0 x 103 kg truck northbound at a velocity of 35 km/h. if these two vehicles lock together upon collision, what is the initial velocity of the vehicles after collision? (7.2 m/s 37o w of n) 2. a 6.2 kg object heading north at 3.0 m/s collides with an 8.0 kg object heading west at 3.5 m/s. if these two masses stick together upon collision, what is their velocity after collision? (2.4 m/s 56o w of n) 3. a 4.0 x 104 n truck moving west at a velocity of 8.0 m/s collides with a 3.0x104 n truck heading south at a velocity of 5.0 m/s. if these two vehicles lock together upon impact, what is their velocity?(5.0 m/s 25o s of w)
The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg
We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.
We know that momentum =mass × velocity
So,initial momentum of car is =1.4 × 10³kg × 37km/hr
Similarly,,initial momentum of truck=2×10³kg × 35km/hr
Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg + 2×10³kg=3.4 ×10³kg
Assume final velocity of both vehicle is v
So,following the law of conservation,we get
=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v
=>51.8 ×10³ + 2×10³=3.4×10³ ×v
=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v
=>v = 53.8/3.4
=>v=15.82m/sec
Hence,final velocity of both vehicle after collision is 15.82m/sec.
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two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide. what can you determine about the planets
Two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide therefore what we can determine about the planets is that x is Earth while y is Venus.
What is Atmosphere?This is referred to as the envelope of gases surrounding the earth or another planet and it makes life possible by providing different organisms with air to breathe
In the atmosphere of the planet Venus there is a high concentration of carbon dioxide as it is made up of it is made of 96.5% of CO₂ and a 3% of nitrogen.
On the other hand in the atmosphere of the planet Earth, there is a high concentration of nitrogen which is about 78% and is therefore the reason why they were chosen as the correct choices.
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I NEED HELP ASAP PLSS
Answer:
C.) The United States would become less dependent on energies that emit greenhouse gases.
Explanation:
If nuclear energy increased, it would occupy a larger piece of the pie chart. The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant. This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used. Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2. An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.
This the wat heat transfer through
Radiation, conduction, and convection are the three methods by which heat is transmitted into and through the atmosphere.
Does heat transfer across gases and liquids work in this way?Convection is the transfer of heat through a fluid, like water or air. Heat is transferred together with the fluid (liquid or gas) as it flows from one place to another.Radiation, conduction, and convection are the three methods by which heat is transmitted into and through the atmosphere.Heat is mostly transported over space by radiation. As opposed to on Earth, heat is not dispersed throughout the material it flows through. On a sunny day, the heat from the Sun heats the molecules in the atmosphere on Earth, and those molecules in turn warm other molecules, and so on.The complete question is,
Heat is transferred through ______ in this manner. The particles get hotter and begin to expand as they get closer to the heat source. They combine energy with other particles and impart it to them. Once they have moved more, these particles ____ with other particles. This process continues until the entire item is identical and all of the particles have the same energy.
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John walks to the pizza place for lunch. He walks 2 km north, then 1 km east. To get home, he walks 2 km west and 1 km south. What distance did he travel? What is his displacement?
Answer:
The total distance covered is 3 km and the displacement is 2.24 km.
Explanation:
For the total distance covered by Anthony, we just add all of the distances.
1 km (going east) + 1 km (going east again) + 1 km (going south) = 3 km
Hence, the his total distance covered when he went to the pizza place is 3 km.
Solving for the displacement is a different matter. We cannot just add all of the distances. From analysis of the problem, Anthony traveled and formed a right triangle. He traveled 1 km east twice, making it 2 km east in total, then he traveled 1 km south.
When dealing with a right triangle with 2 sides given (for this problem the two sides are the 2 km east and the 1 km south), we use the Pythagorean Theorem.
Solution:
c² = a² + b² (Pythagorean Theorem)
c will be the longest side of the right triangle
a and b will be the other sides of the right triangle
c = √ (a² + b²)
c = √ (2² km + 1² km)
c = √5 km
c = 2.2361 km ≈ 2.24 km
Therefore, the displacement of Anthony is 2.24 km.
Read more about right triangle here:
brainly.ph/question/2449553
Know more about Pythagorean Theorem here:
brainly.ph/question/77971
