a) - 627.7 m
b) - 44.8 m/s
a) we use the formula,
d = gt²/2
when we substitute the values,
d = -1.6 X 28²/2
= -1.6 X 784/2
= - 627.2m
distance travelled by the stone was - 627.2m
b) calculate the impact,
v = gt
substitute,
v = (-1.6) X 28
v = - 44.8 m/s
The negative sign here indicates that the object is going down.
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Luis does 6 joules of work in 3 seconds, what is the power he exerted?
Your ear simultaneously hears waves from different sources, so it can hear beats from the two speakers. Suppose one speaker is driven at 586 Hz and the other at 560 Hz. Do you think the pitch of the waves sounds significantly different when both speakers are on?
The beat frequency from two speakers is as follows:
[tex]fbeat =586 Hz-560 Hz[/tex]
[tex]=26 Hz[/tex]
Thus, the average frequency is as follows:
[tex](586 Hz+560 Hz )/2= 573 Hz[/tex]
The average frequency lies between the frequencies of the speaker, thus, the answer is No.
And, if the speakers are misaligned then, the answer can be Yes.
Beat is the pulsing that two waves with slightly differing frequencies combine to create in physics. On a piano, press a white note and the neighboring black key at the bass end of the keyboard to explain the idea of beats for sound waves. The resulting sound alternates between being mild and loud, with distinctive pulsations or throbs known as beats. Because the difference in frequency between consecutive keys is bigger at the treble end of the keyboard than it is at the lower end, the beat frequency is higher there.
The beat frequency N is the difference between the two waves' respective frequencies, which in the figure are 24 and 30 vibrations per second (Hz).
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typical molecular speeds (vrms) are large, even at low temperatures. what is vrms (in m/s) for helium atoms at 4.85 k, less than one degree above helium's liquefaction temperature? m/s
V rms (in m/s) for helium atoms at 4.85 k, less than one degree above helium's liquefaction temperature is calculated as 173.84 m/s.
What is molecular speeds?Speed of the molecules in a gas is directly proportional to the temperature and inversely proportional to molar mass of the gas. We can also say that, as the temperature of a sample of gas is increased, molecules speed up then the root mean square molecular speed also increases.
As we know that, V rms = √3 KT/M he
Given T= 4.85 K, K= 1.38 *10^-23 and M he is 6.644 *10^-27.
=√ 3 * 1.38 *10^-23 * 4.85 / 6.644 *10^-27
V rms for helium atoms = 173.84 m/s
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hich of the following best describes how Einstein contributed to the development of the concept of gravity?
A
He described the movement of balls allowed to roll down inclined planes at various angles.
B
He said that all bodies would fall at the same speed if they were in a vacuum.
C
He said that the gravitational force exerted by an object is directly related to its mass.
D
He described gravity as curved space-time as opposed to a force.
Correct answer is d. He described gravity as curved space time as opposed to force.
Einstein opposed Newton's law of motion saying, that if an object falls from a height, it doesn't experience any force. So, even though that path doesn’t look straight to us, the object experiences no force. This is what is meant by theory of relativity.
What is theory of relativity?Einstein described thus concept in his theory of relativity, also called as a theory of gravity. The basic idea is that instead of being an invisible force that attracts objects to one another, gravity is a curving or warping of space. The more massive an object, the more it warps the space around it.
The Newton's first law of motion states an object remains in uniform motion unless acted by a force.
But einstein opposed this theory saying, that if an object falls from a height, it doesn't experience any force. Thus, einstein realized that massive things like Earth warp spacetime. A freefalling object then follows the straightest possible path in spacetime. So, even though that path doesn’t look straight to us, the object experiences no force. This is what is meant by theory of relativity.
Thus, the most famous equation in the world, E=mc², came into existence.
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What is the elastic potential energy of a spring with K 144?
The elastic potential energy of a spring with k 144 is 72x² J.
The potential energy of a spring is the potential energy stored due to the deformation of a certain elastic object or spring.
It describes the work done to stretch the spring and depends on the spring constant k and the distance stretched.Potential energy of a system is given by PE = (1/2)*k*x²where, k is the spring constant,
x is the displacement caused by the spring
The SI unit of the elastic potential energy is joule (J).Spring constant k is 144
let the displacement caused by the spring is x
then the elastic potential energy =
P.E. = (1/2)*k*x²
P.E. = (1/2) * 144 * x²
P.E. = 72 * x²
The elastic potential energy of a spring is 72x² J.
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if the old radiator is replaced with a new one that has longer tubes made of the same material and same thickness as those in the old unit, what should the total surface area available for heat exchange be in the new radiator to achieve the necessary heat exchange rate at the recommended temperature gradient?
The total surface area available for heat exchange in the new radiator should be equal to or greater than the surface area of the old radiator. The necessary heat exchange rate and temperature gradient will depend on the specific design of the radiator and the application in which it is used.
When replacing an old radiator with one that has longer tubes constructed of the same material and same thickness, the total surface area available for heat exchange should be calculated to ensure that the desired heat exchange rate is achieved. This value should be equal to or greater than the total surface area of the old radiator and should also be compared to the maximum allowable surface area for the given heat exchange rate to ensure that an efficient transfer of heat is achieved.
The surface area available for heat exchange in a radiator is a critical factor in its ability to efficiently transfer heat from a hot liquid or gas to a cooler environment. In order to achieve the desired heat exchange rate at a recommended temperature gradient, the total surface area of the new radiator should be equal to or greater than the total surface area of the old unit.The total surface area of the new radiator should also be compared to the maximum allowable surface area for the given heat exchange rate. This is because if the total surface area of the new radiator is greater than the maximum allowable surface area, too much heat may be transferred from the hot liquid or gas to the cooler environment, leading to an inefficient transfer of heat.
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what mass of 23592u must undergo fission to operate a 1000-mw power plant for one day if the conversion efficiency is 31 %?
Mass of 23592u must undergo fission to operate a 1000-mw power plant for one day if the conversion efficiency is 31 % is (92)^(235)U`
For 1000MW output, the total power generation is 3000MW, of which 2000W=MW is rejected as "waste" heat. Thus the total energy released in year (3×107s) from fission is about (3×109)(3×107)≈1017 If each fission releases 200MeV of energy, the number of fission required is
(10172×108(1.6×10−19)≈3≈1027fissions The mass of a single uranium atom is about (235u)(1.66×10−27kg/u)≈4.5×10−25kg, so that mass needed is (1017)(2×108)(1.6×10−19) approxeapproxfissionorabouta→n.Since._(92)^(235)U` is only a fraction of normal uranium, and even when the requirement for uranium is of the order of tens of tons.
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How important is sleep for muscle recovery?
Sleep is major for muscle building. Our muscles develop and fix when we take proper sleep.
Not getting sufficient sleep will prompt a decrease in development chemical creation that influences tissue and muscle fix. To this end it's vital to get satisfactory profound REM rest for your body's recuperation cycle. In the event that you don't, then you risk losing mass and limit from absence of helpful chemicals like these ones which are delivered during the non-REM stage when they're required most!
It's never past time to get a decent night rest! For your body and muscles to develop you want the appropriate measure of resting. It is said that on the off chance that one dozes 7-9 hours out of every day, they will actually want to recuperate more effectively than not resting by any means, which can lead them towards putting their best self forward in any circumstance.
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Why does sleep help injuries?
Sleep helps in injuries recovery by regulating the proper blood flow on all over the body.
As we fall into the further phases of sleep, our muscles will see an expansion in blood stream, which brings along oxygen and supplements that that help recuperate and fix muscles and recover cells.
Hormones assume a part, as well. At the point when the body enters its profound rest stage known as non-REM rest, the pituitary organ discharges development chemicals that invigorate muscle fix and development. At the point when the body doesn't get sufficient rest, the emission of this development chemical decays, and it can become more diligently for your body to recuperate from wounds.
The hormone prolactin, which manages aggravation, is likewise delivered while resting. On the off chance that you don't get sufficient rest, you're bound to encounter irritation in the body, which can make injury recuperation more troublesome while likewise endangering you of additional injury.
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A battery provides a potential difference of 3v so that a current of 2. 5a flows through a bulb. What is the power of this bulb?.
The power of this bulb that is to the battery is found to be 7.5 Watts.
The battery is providing a potential difference of 3 volts and it produces a current of 2.5 ampere that flows through a bulb.
The power of this bulb can be given by the relation,
P = VI
Where P is the power of the bulb, V is the potential difference across the bulb and I is the current that is flowing through the bulb.
Now assigning all the values to the respective terms,
We get,
P = 3(2.5)
P = 7.5 W.
So, the power of this bulb is 7.5 watt.
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Suppose you’re weighing yourself while standing next to the bathroom sink. Using the idea of action and reaction, explain why the scale reading will be less when you push down on the top of the sink. Why will the scale reading be more if you pull up on the bottom of the sink?
Answer: Because you're using your mass to push down on the sink, and vise versa.
Explanation:
A wave has a wavelength of 2.0 m and a frequency of 8.0 Hz. What is the
speed of the wave?
OA. 16 m/s
OB. 10 m/s
OC. 0.3 m/s
OD. 4.0 m/s
4
The speed of the wave is 16.0 m/s. Hence, option (A) is correct.
What is speed?The distance an object travels in a unit of time is its speed. Speed is a scalar quantity since it has simply magnitude and no direction. SI unit is meters per second.
Given that the wave has a wavelength of 2.0 m and a frequency of 8.0 Hz.
Hence, the speed of the wave is = frequency × wavelength
= 8.0 × 2.0 m/s
= 16.0 m/s.
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A mass of sunken lead is resting against the bottom in a glass of water. You take this lead, put it in a small boat of negligible mass, and float the boat in the water. Which of the following statements are true? (There may be more than one correct choice.)A. The sunken lead displaces a volume of water equal to the lead's own volume.B. The floating lead displaces a volume of water equal to the lead's own volume.C. The sunken lead displaces a volume of water whose weight equals the lead's weight.D. The floating lead displaces a volume of water whose weight equals the lead's weight.
There will be two possibilities for this answer-
A) The sunken lead displaces a volume of water equal to the lead's own volume.
C) The sunken lead displaces a volume of water whose weight equals the lead's weight.
To understand the phenomenon, we should first know that the above concept is based on the principle of Archimedes.
⇒ Archimedes Principle states -
The concept of Archimedes is based on the first condition of equilibrium.An object floating in the water or placed in any fluid feels an upward force equal to the mass of the displaced water or fluid.The upward force exerted by the water or fluid is also called buoyant force.Now according to the condition given in the question, we could say that firstly the lead was sunken in water completely then the lead was placed in a boat of negligible mass to float on the water. When the lead along with the boat is placed in the water it displaces the water or exerts pressure on the water due to its weight and in turn the water also exerts the same pressure on the lead to counter the force.
The boat along with the lead on it follows the Archimedes principle and therefore, we can say that the sunken lead displaces a volume of water equal to the lead's own volume and at the same time the part of the lead that is submerged in water also displaces a volume of water whose weight equals the lead's weight.
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The floating lead moves a water volume with a weight equivalent to the lead's weight, whereas the submerged lead moves a water volume with a volume equal to a lead's own volume.
What does a definition of mass mean?As a fundamental property of all matter, inertia can be quantified in physics as mass.In its simplest form, it describes a body of object's resistance to altering its speed or position in reaction to the load exerted to it.
What is the best way to define mass?mass.[măs] A measurement of the volume of matter in or making up a physical body.In classical mechanics, an object's mass is crucial to Newton's motion laws because it influences the force needed to accelerate it and, consequently, how much inertia it has.
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generally, what article of the nec must be consulted to determine the allowable ampacity for conductors?
The basic specifications for conductors rated up to and including 2000 volts are covered in this article 310 of NEC, together with information on their types, insulations, markings, mechanical strengths, ampacity ratings, and uses.
The removal of all references to medium voltage (Type MV) wires and cables from Article 310 in favor of a new Article 311 was one of the more important revisions. The Type MV cable specifications have also been moved out of the former Article 328 and that article has been completely deleted in the new article. The use, installation, construction requirements, and capacities for medium voltage conductors and cables will all be covered in this article. By removing all but the general criteria for wires rated up to and including 2000 volts, this was an attempt to, in part, make Article 310 more usable. As a result of this effort, the requirements for medium voltage conductors and cables have been divided into two categories: those for 0 to 2000 volts (Article 311) and those for medium voltage (Article 3110).
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What is the frequency of a wave if it has a wavelength of 3.0 m and a wave speed of 12m/s?
The frequency of a wave that propagates with speed 12m/s and wavelength 3m is 4Hz
At the Planck length, even gravity is quantized, there are no other particles or fields to explain it, and at this level all the rules of spacetime are broken.This means that at this level relative time can be measured as zero by the function and infinite by the function. Let's understand it differently. Imagine flying to the North Pole and ready to go further north. So it makes no sense to try to go further north.So just quantization takes place .Flux refers to the lines of force or field that intersect with the vector of the object.y=3m
s=12m/s
s/y=F
12/3 =4Hz
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how fast would a(n) 80 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 380 m/s ?
14.08 meter per second fast a(n) 80 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 380 m/s
We have specified that a man weighs 80 kilograms. Additionally, a bullet's mass is equivalent to 8 grams, which is equal to 8 times 10 to the minus 3 kilogram, and its velocity is equal to 380 meters per second. We will now determine the velocity of a man. Now that we have established that the kinetic energy of the guy is equal to the kinetic energy of the bullet, we can conclude that both are equal. In other words, we may write this as 1 divided by 2 capital m multiplied by v square capital m = 1 divided by 2 capital b multiplied by v square capital b.
Generally the equation for the kinetic energy is mathematically given as
K.E= 1/2*m*[tex]v{2}[/tex]
Therefore
K.E =1/2 *0.008*[tex](420){2}[/tex]
K.E=672.4j
Therefore
[tex]v2[/tex]=673.4*2/85
[tex]v2[/tex]=15.821
v=4.0m/s
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a 5 kg box slides down a 3 meter long ramp angled at 30 degrees. the box feels a constant 10 n force of friction. if the box starts at rest, how fast is it going at the bottom of the ramp?
At the bottom of the ramp, the box is moving at a speed of 4.24 m/s.
given:
The box weighs 5 kg in total.
The ramp's incident angle is 30 degrees.
10 Newtons of friction force
Net force is calculated using the following equation: net force = mgsin - friction force ma = mgsin - friction force a (5x5 - 10)
a = 3 m/s2 for acceleration of 5,
The motion's equation v^2 = u^2 + 2as v = 4.24 m/s is the result of the formula v2 = 0 = 2x3x3.
Friction is the force that stops motion when the surfaces of two things come into contact. In other words, friction reduces the mechanical advantage of a machine and lowers the output to input ratio. One-fourth of the energy used by a car is used to reduce friction.
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Maria determines that the wavelength of a sound wave is 2. 50 meters and that the wave is traveling at 340 m/s.
Maria determines that the wavelength of a legitimate wave is 2.50 meters and that the wave is travelling at 340 m/s the frequency is mu = 136hz.
SO, the frequency of the sound wave is 136hz.Sound waves fall into 3 categories: longitudinal waves, mechanical waves, and strain waves. Keep studying to discover what qualifies them as such. Longitudinal Sound Waves - A longitudinal wave is a wave wherein the movement of the medium's debris is parallel to the path of the strength.
Here We have:
lambda = 2.5mV = 340m / smu =?FORMULA:-V = mu*lambdaNOW,→ 340 = mu * 2.5→ mu = 340/2.5mu = 136hz .Read more about wavelength;
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A student holds a water balloon outside of an open window and lets go. The window is 10 meters above the ground, and the balloon is falling under the acceleration of gravity, which is 9.8 m/s2. There are two equations that can be used to describe its motion over time:
x=x0+v0t+12at2
v=v0+at
Would the balloon hit the ground before or after 1.0 s of falling? Which equation did you use to decide, and what comparison did you make to determine that it would or would not hit the ground by then?
explain in 3-5 sentences
A uniform accelerated linear motion happens, when a ball is dropped from a certain amount of height.
After solving, we come to know that the water balloon that is dropped by the student 10 meters above the ground, will hit the ground after 1.0s of falling (in 1.4 s).
Which equation is used to describe motion over time for a ball falling from a certain height?
To find the time we need to use the equation that is related the time with the height and the acceleration due to gravity, that is to say, the first equation from the two given, but in the vertical direction:
yf=y0+v0t+1/2at² (1)
Where:
yf : is the final height = 0
yo: is the initial height = 10 m
vo: is the initial velociy = 0 (it is dropped)
a: is the acceleration due to gravity = -9.8 m/s² (it is negative because its direction of motion is downward)
t: is the time =?
Solving equation (1) for t, we have:
0=10m-1/2gt²
t=√2×10m/9.8m/s =1.4s
Therefore, the balloon will hit the ground after 1.0s of falling.
Main answer is :
We used the first given equation but in the y-direction, because the equation x=x₀+v₀t+(1/2)at², considers a motion in the horizontal direction, and the ball is falling (y-direction).
We did not use the other equation (v = v₀ + at) because we do not know the final velocity of the ball before it hits the ground (v).
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Suppose you drop a rock into a dark well and, using precision equipment, you measure the time for the sound of a splash to return. Neglecting the time required for sound to travel up the well, calculate the distance to the water if the sound returns in 2. 00 s.
Answer:
Approximately [tex]19.6\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] and that air resistance is negligible.)
Explanation:
Assume that the air resistance on the rock is negligible. During the descent, the acceleration [tex]a[/tex] of the rock will be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].
It is given that the descent took [tex]t = 2.00\; {\rm s}[/tex]. Let [tex]x[/tex] denote the displacement (change in position) of the stone. Apply the SUVAT equation [tex]x = (1/2)\, a\, t^{2}[/tex] to find displacement [tex]x\![/tex]:
[tex]\begin{aligned}x &= \frac{1}{2}\, a\, t^{2} \\ &= \frac{1}{2}\, ((-9.81)\; {\rm m\cdot s^{-2}})\, (2.00\; {\rm s})^{2} \\ &\approx (-19.6)\; {\rm m}\end{aligned}[/tex].
Note that [tex]x[/tex] is negative since the water is below the initial position of the rock. Therefore, the distance to the water will be approximately [tex]19.6\; {\rm m}[/tex].
Why did the big bang not produce a significant proportion of elements heavier than helium?
The big bang did not produce a significant proportion of elements heavier than helium because by the time helium could survive, the temperature had become too low for heavier elements to form.
In the field of physics, the big bang can be described as a theory that the universe was created when the hot mass of a ball was stretched enough due to collisions that the entire universe could be formed from it. After this mass of the ball cooled, life came into existence
It was due to the formation of the big bang that life came into existence. Elements that are lighter and do not have much nuclear radioactivity were easier to be formed. However, the formation of elements such as helium required high nuclear fusion reactions to occur. By the time helium became stable after various nuclear fusion reactions, the big bang had already cooled and hence no more heavier elements could be produced.
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a radio-controlled race car requires a force of 9.0 newtons to propel it at a speed of 5.0 m/sec. the power rating of the car is:
When requires a force of 9.0 newtons to propel it at a speed of 5.0 m/sec if the power rating of the car is 45.
What is force?The term "force" has a specific meaning in science, at this level, calling a force a push or a pull is quite appropriate.
A force is not something an item "has in it" or that it "contains, one thing experiences a force from another. There are both living things and non-living objects in the concept of a force.
Therefore, the power rating of the car is 45.
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b) given the mass of the rubber in the balloon is 1.80 grams, what is the net vertical force on the balloon if it is let go? consider the buoyant force on the balloon, and the weight of the rubber and the helium inside the balloon. the volume of the rubber itself is negligible
The net vertical force on the balloon is 0.0058 N.
Given that, mass of rubber in the balloon is 1.8 gm
Acceleration due to gravity is 9.81 m/s²
Let ρ is the density of the gas
v is the volume
Buoyant force is given by Fb = ρ* v* g
Fb = 1.22* 9.81* 2* 10⁻³ = 0.0239364 N = 0.024 N
Net vertical force is given by
Fn = Fb - W he - W r = 0.0239364 - 0.175* 2* 10⁻³ * 9.81 - 1.8 * 10⁻³ *9.81
⇒ 0.0057879 N = 0.0058 N
Thus, the net vertical force on the balloon is 0.0058 N.
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what is the current in milliamperes produced by the solar cells of a pocket calculator through which 4.00 c of charge passes in 4.00 h?
The current in the milliamperes produced by the solar cells of a pocket is 0.278mA
Magnitude of charge passing through the solar cells, C=4.00C
Time period, t=4.00h
The current is expressed as the rate at which the electric charge is passing through an electrical appliance. So, the current produced by the solar cells is expressed by the following equation:
I =C/t
Substituting values in the above equation we get
I =0.278mA
The current is defined in physics as the amount of charge that passes through an electrical appliance in a certain amount of time. The magnitude of the current is usually measured in amperes. We can convert the current from amperes to milliamperes by utilizing the appropriate conversion factors.
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A galaxy with thin spiral arms and a small spherical central bulge would be a type?a. Sab. SBac. Scd. SBce. S0
A galaxy with thin spiral arms and a small spherical central bulge would be a type is Sc. Option C.
Spiral galaxies have a central stellar bulge surrounded by a disk containing arms that form a spiral structure. Stars in the bulge of spiral galaxies tend to be older and redder than others. There is also a much darker, roughly spherical halo of stars surrounding the disk.
Central bulge. Surrounding the core is a vast bulge of stars that are roughly spherical in shape and composed mostly of Population II stars but relatively rich in heavy elements. Spiral galaxies typically have rotating disks with spiraling arms that bend from a dense central region. The Milky Way is a spiral galaxy.
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if a sound has an intensity 100 times the intensity if a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound?
A sound level of 10 dB corresponds to a sound that is or 10 times as loud. A sound level of 20 db is ascribed to a sound that is 10*10 or 100 times stronger . A sound level of 30 db is attributed to a sound that is 10*10*10, or 1000 times more powerful .
What is sound level ?The term "sound level" relates to different logarithmic measurements of audible vibrations, including: Sound exposure level is a measurement of how loud a sound is in relation to a standard. The rate at which sound energy is emitted, reflected, transmitted, or received per unit of time is measured as the sound power level.
According to the previously mentioned units of 10, a sound that is 10 times louder will be measured as 10 dB, a sound that is 100 times louder than 0 dB will be measured as 20 dB, a sound that is 1,000 times louder than almost silence will be measured as 30 dB, and so on.
Thus, A sound level of 30 db is attributed to a sound that is 10*10*10, or 1000 times more powerful.
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during the experiment, when you got a standing wave, the amplitude of the wave became much bigger than the amplitude of the oscillator. what was the reason for this?
Constructive interference caused the wave's amplitude to grow significantly in comparison to the oscillator's amplitude.
A wave superimposes itself on another when two or more waves arrive at the same location. The interference of waves, more particularly, is superimposed when they meet. This is called superposition.
when two identical waves with a perfect phase match arrive at the same location. Both the crests and troughs of the two waves are identically aligned. This superposition results in only constructive interference. Pure constructive interference creates a wave with double the amplitude of the constituent waves but the same wavelength since the disturbances add up.
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Loretta deposits $350 every quarter into a savings account that earns 4. 5% interest compounded quarterly. What is the balance after 7 years?.
Loretta deposited $350 in a savings account with the 4.5% interest compounded quarterly. The amount at the end of 7 years will be $ 478.75.
Given,
Principal (P) = $350
Number of years (t) = 7
Interest rate (r) = 4.5 % or 0.045
We know that, compounded quarterly means interest is calculated four times in an year. The interest for 7 years will be 4 times the number of years. Here,
the number of compounding per year (n) = 4
so, for 7 years = 4*7 = 28
We know that compound interest is calculated as:
A = P{1+(r/n)}^nt
A= 350 {1+(0.045 /4)}^(4)(7)
A= 350 (1+0.01125)^28
A= 350 (1.01125)^28
A= 478.748 or 478.75
The interest (I) for will be ,
I = A-P = 478.75-350= $128.75
So, we can say that, when Loretta deposits $350 at 4.5% interest compounded quarterly, the amount at the end of 7 years will be $ 478.75.
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Is more elastic potential energy stored in a spring when the spring is compressed by 1 cm than when it is stretched by the same amount justify your answer?
The elastic potential energy stored in a spring when the spring is compressed by 1 cm is same as the elastic potential energy stored in a spring when the spring is stretched by 1 cm.
When a spring is compressed or stretched, it will try to restore its equilibrium position by exerting a force equal and opposite to the external force.
So, the external work done by us in compression as well as stretching will store in the spring as potential energy.
It is given by the equation, PE = 1/2* k * x²
where, x is the displacement from its mean position
k is the spring constant
Thus, the potential energy of a spring will depend on the displacement of either compression or stretching. As the displacement in both the cases is same, elastic potential energy is also same.
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which method of measuring distances would you use if you wanted to measure the distance to stars in a nearby galaxy?
Trigonometric parallax, also known as star parallax, is a technique used by astronomers to calculate the distances of nearby celestial objects.
What is parallax?The observed displacement of an object brought on by a shift in the observer's perspective is known as parallax. It is an indispensable instrument in astronomy for figuring out how far away stars are.
The night sky seems two-dimensional when viewed from Earth. But that is not the case. However, it took astronomers thousands of years to discover how to calculate the separations between stars and our planet and produce real three-dimensional maps that depicted the arrangement of galaxies and stars in the cosmos. The so-called parallax, which depends on the same effect as stereoscopic vision, is one of the main techniques they employ.
The procedure is as follows: extend your hand, close your right eye, and lay your thumb over a far-off item. Switch your eyes so that your right is open and your left is closed. In comparison to the background, your thumb will appear to move slightly. You may determine the distance to your thumb by counting this tiny shift and knowing the space between your eyes.
There are no two eyes that can accurately determine the distances to other stars. Instead, the starting point for these calculations is Earth's orbit around the sun.
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