The temperature of the hydrogen gas molecules is 81818.9127×10²³K if it has Root mean square speed of 410m/sec.
Root mean square speed (v[tex]_r_m_s[/tex]) is characterized as the square foundation of the mean of the square of velocities, everything being equal. It is indicated by v[tex]_r_m_s[/tex] = √v₂
(I) RMS speed is straightforwardly relative to square base of the temperature and conversely corresponding to square foundation of mass of the particle. At a provided temperature with the particles of lighter mass move quicker on a normal than the atoms with heavier masses.
Lighter particles like hydrogen and helium have high 'v[tex]_r_m_s[/tex]' than heavier particles like oxygen and nitrogen at a similar temperature.
(ii) Expanding the temperature will speed up particles
We know that RMS speed of the gas molecules is given by the below formula
v=√(3kT)/m
where k is Boltzmann constant
T is the temperature of gas molecules
and m is the mass of gas molecules
So, putting value of k=1.380649×10⁻²³ J⋅K⁻¹,m=2.016g,v=410m/sec, T=?
=>410=√(3×1.380649×10⁻²³ ×T)/2.1016
Squaring on both sides, we get
=>(3×1.380649×10⁻²³ ×T)/2.1016=410×410
=>T=(410×410×2.1016) / (3×1.380649×10⁻²³)
=>T=(338889.6 / 4.141947) × 10⁻²³
=>T=81818.9127×10²³K
Hence, required temperature is 81818.9127×10²³K.
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(Complete question) is:
Hydrogen molecules; with molar mass of 2.016 g mol certain gas have an rms speed of 410 m s What is the temperature of this gas in kelvins?
a researcher is interested to find out how the engine displacement, vehicle weight, and the type of transmission [i.e. automatic
Critical value for F test is 2.24 . t-test statistic for 'Displacement is -1.993
The t-test show whether two populations are statistically different from each other. ANOVA show whether three or more populations are statistically different from each other. Both of them uses the difference in means and the spread of the distributions (called variance) across groups.
We get a test statistic value (“t” or “F”, respectively) from t test and ANOVA. The value we get are converted into a “p-value.” A p-value is the probability that the null hypothesis (that both (or all) populations are the same) is true. We can say that, a lower p-value reflects a value more significantly different across populations.
t-test statistic for 'Displacement' = coefficients / standard error = -0.0176/0.00883 = -1.993
We find critical value with given significance level using F distribution table as 2.24
F Critical Value = the value found in the F-distribution table with n1-1 and n2-1 degrees of freedom and a significance level of α.
The question is incomplete. The complete question is
A researcher is interested to find out how the engine displacement, vehicle weight, and the type of transmission [i.e. automatic & manual] affect the automobile gasoline mileage. Type of transmission is represented by one dummy variable: automatic (=1, if transmission is automatic; = 0, if transmission is manual)
Part of the raw data and the regression output of 40 different car models are given below. ( see images).
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Demetrius is skiing on a circular ski trail that has a radius of 0.8 km. Demetrius starts at the 3-o'clock position and travels 2.2 km in the counter- clockwise direction. a. How many radians does Demetrius sweep out? 2.75 radians Preview b. When Demetrius stops skiing, how many km is Demetrius to the right of the center of the ski trail? * km Preview c. When Demetrius stops skiing, how many km is Demetrius above of the center of the ski trail? * km Preview
a) Brain sweep out 2.75 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
What is radians?
Radian, simply put, is a unit of measure for angles that is based on the radius of a circle. What this means is that if we imagine taking the length of the radius and wrapping it around a circle, the angle that is formed at the centre of the circle by this arc is equal to 1 Radian.
Given the data in the question;
circular ski trail radius = 0.8 km
Derek starts at the 3-o'clock position and travels 2.2 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.2km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.2 / 0.8
θ = 2.75 radians
Therefore, Brain sweep out 2.75 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.8 × cos(4)
x = 0.8 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.8 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail.
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Electrical is lowered in the presence of water or moisture, so welders must take special precautions when working under damp or wet conditions.
Electrical ___Resistance____is lowered in the presence of water or moisture, so welders must take special precautions when working under damp or wet conditions.
The electrical resistance of an object is a measure of its resistance to the flow of electricity. Its reciprocal is electrical conductivity, which measures the ease with which current can flow. Electrical resistance shares some conceptual similarities with mechanical friction. The SI unit for electrical resistance is the ohm (Ω), while electrical conductivity is measured in Siemens (S) (formerly called "mho", expressed in ℧).
The durability of an object is highly dependent on its material. Items made from electrical insulators such as rubber tend to have very high resistance and low conductivity, whereas items made from conductors such as metal have very low resistance and high conductivity.
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At a beach the light is generally partially polarized due to reflections off sand and water. At a particular beach on a particular day near sundown, the horizontal component of the electric field vector is 3.4 times the vertical component. A standing sunbather puts on polarizing sunglasses; the glasses eliminate the horizontal field component. (a) What fraction of the light intensity received before the glasses were put on now reaches the sunbather's eyes? (b) The sunbather, still wearing the glasses, lies on his side. What fraction of the light intensity received before the glasses were put on now reaches his eyes?
The horizontal component of a force represents the part of the force which acts in the horizontal direction with respect to the body.
What is horizontal component and vertical components?The horizontal velocity component (vx) describes the influence of the velocity in displacing the projectile horizontally. The vertical velocity component (vy) describes the influence of the velocity in displacing the projectile vertically.Given the data in the question;The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down, The vertical velocity of a projectile changes by 9.8 m/s each second, The horizontal motion of a projectile is independent of its vertical motion.Vectors are mathematical representations that are directed and magnitude-based. The direction of a vector in a two-dimensional coordinate system is determined by the angle it makes with the positive x-axis. Here, vector V is split into two components: vx and vy. Vx is known as the Horizontal Component of the vector V.
The intensity is proportional to the electric field amplitude;
now, we assign the electric field of 1 to the vertical component and an electric field of 2.8 to the horizontal component
so;
Horizontal intensity = 1² = 1
Vertical intensity = 2.8² = 7.84
so total intensity = 1 + 7.84 = 8.84
fraction of the light intensity received before the glasses were put on now reaches the sunbather's eyes,
since the sunglasses blocks the horizontal intensity so only the the vertical intensity goes through;
hence
⇒ 1 / 8.84 = 0.1131 of the total intensity
Therefore, the glasses received 0.1131 of the total intensity,
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radioactivity is characterized by order kinetics, so the rate of decay in a particular sample the number of nuclei present.
Since the decay rate is dependent upon the number of radioactive atoms, in terms of chemical kinetics, one can say that radioactive decay is a first order reaction process.
What is radioactivity ?
Radioactive decay is the loss of elementary particles from an unstable nucleus, ultimately changing the unstable element into another more stable element. There are five types of radioactive decay: alpha emission, beta emission, positron emission, electron capture, and gamma emission. Each type of decay emits a specific particle which changes the type of product produced. The number of protons and neutrons found in the daughter nuclei (the nuclei produced from the decay) are determined by the type of decay or emission that the original element goes through.
Also, radioactive decay is an exponential decay function which means the larger the quantity of atoms, the more rapidly the element will decay. Mathematically speaking, the relationship between quantity and time for radioactive decay can be expressed in following way:
dN/dt=−λN
or more specifically
dN(t)/dt=−λN
or via rearranging the separable differential equation
dN(t)/N(t)=−λdt
by Integrating the equation
lnN(t)=−λt+C
with
C is the constant of integration.N(t) is the amplitude of N after lapse of time t.λ is the decay rate constant.To know more about radioactivity, visit:
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The non-reflective coating in eyeglasses is based on:
A. total internal reflection
B. destructive interference
C. resonance
D. constructive interference.
The non-reflective coating in eyeglasses is based on: destructive interference. So, option (B) is correct.
What is destructive interference?When waves combine and totally cancel each other out, destructive interference occurs. Two waves must have the same amplitude travelling in opposing directions in order to interfere destructively.
Nature is home to a variety of fascinating wave phenomena that are not reducible to a single wave. We must look at the phenomenon of destructive interference based on the wave combination. We use the superposition principle, which states the following, to examine these:
The resulting wave function is the algebraic sum of the individual wave functions when two or more waves are passing through a medium.
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Suppose monochromatic, coherent light of wavelength 585 nm is incident on a pair of slits with separation 0.24 mm. On a screen 1.63 m away, find the distance of the second maximum from the center line of the central maximum. Answer in millimeters.
56mm is the distance of the second maximum from the center line of the central maximum. coherent light of wavelength 585 nm is incident on a pair of slits with separation 0.24 mm.
Given information
wavelength = 585 nm
D = 1.63m
d = 0.24mm
m = 2
SinΘ = (m+ 1/2) A x wavelength x d = Sing= (2+↓ 2 X 0.24X183
SinΘ = 6·093.75×10^- = 6.09703N-3
Θ= Sin-1 ( 0·00609) = 0.34
Y= D tanΘ is y = (1.63) tan (0.34)
Y = 9.49 x10-3 m. = 0.056 m= 56mm.
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.
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In an independent-measures experiment with three treatment conditions, all three treatments have the same mean, M1 = M2 = M3. For these data, what is the value for SSbetween treatments?
a. 3(5.50)
b. 0
c. 1.00
d. Cannot be determined from the information given
A is the answer 3(5.50) .Three of the treatment means in a two-factor experiment with two levels of factor A and two levels of factor B are almost identical, while one is significantly different from the others. What outcome (s) would this course of treatment achieve?
When analysing variance, the differences that exist when there are no treatment effects are measured using the variance within treatments. By summing the SS values across all treatments and dividing by the total of the df values across all treatments, this value is obtained. By summing the SS values across all treatments and dividing by the total of the df values across all treatments, this value is obtained. A study evaluating three therapies with a n = 10 sample size
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when the input voltage to this circuit is 0.5 v, the output voltage is . a. -1.25 v b. 1.5 v c. 3.0 v d. - 3.0 v
e. 5.0 v
When the input voltage to this circuit is 0.5 v, the output voltage is 3v .
Calculation :
Rf = 10000
R = 2000
Vi = 0.5 v
It is an non inverting amplifier .
Voltage gain
A = v₀/vi =[tex](1+\frac{RF}{R} )[/tex]
v₀ = Vi[tex](1+\frac{RF}{R} )[/tex]
v₀ = 0.5[tex](1+\frac{10000}{2000} )[/tex]
= 0.5(1+5)
= 0.5(6)
v₀ = 3v
Stress, also known as pressure, voltage, or (electrical) potential difference, is the potential difference between two points. In an electrostatic field, it corresponds to the work per unit charge required to move the test charge between two points on it.
In the International System of Units, the derived unit of voltage is called the volt. freedom). Older SI definitions of volts used power and current. Quantum Hall and Josephson effects have been used since 1990, and recently (2019) fundamental physical constants were introduced to define all SI units and derived units.
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1. When might an ASDS be most useful and why?
2. How do Trappist-E, -F, and -G contrast with Earth?
3. Why is the greenhouse effect significant? Explain your reasoning.
4. Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
5. When might a rover be useful and why?
ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
What is ASDA?Applying ASDA to photospheric observations with a pixel size of 39.2 km sampled by the Solar Optical Telescope on board Hinode suggests a total number of 1.62 × 105 swirls in the photosphere, with an average radius and rotating speed of ∼290 km and <1.0 km s−1, respectively.
Comparisons between swirls detected in Bifrost numerical MHD simulations and both ground-based and space-borne observations suggest that (1) the spatial resolution of data plays a vital role in the total number and radii of swirls detected, and (2) noise introduced by seeing effects could decrease the detection rate of swirls, but has no significant influences in determining their inferred properties.
All results have shown that there is no significant difference in the analyzed properties between counterclockwise or clockwise rotating swirls. About 70% of swirls are located in intergranular lanes.
Therefore, ASDA is found to be very proficient at detecting swirls in a variety of synthetic data with various levels of noise, implying our subsequent scientific results are astute.
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Answer:
When might an ASDS be most useful and why?
Autonomous Spaceport Drone Ships would be helpful when a spacecraft needs to land in the ocean, for example. These prevent the rocket from being damaged by the water. These are typically used when a spacecraft doesn’t have enough fuel to reach its planned landing spot.
How do Trappist-E, -F, and -G contrast with Earth?
Trappist-E, -F, and -G are the planets that orbit in the habitable zone. They all have a high possibility of having water, similar to Earth. These planets are about the same size as Earth but they have about 100 times more water.
Why is the greenhouse effect significant? Explain your reasoning.
Greenhouse gases is likely what has caused the increase of warmth on our planet (global warming). People add to these greenhouse gases and they trap heat. We don’t know exactly what will be the outcome of the rise in these gases, but so far they have largely contributed to global warming.
Do you agree that humans are contributing to greenhouse gas levels? Explain your answer.
Yes, I do agree. People add to the heat-trapping greenhouse gases, like carbon dioxide, methane, nitrous oxide, and chlorofluorocarbons. Methane, for example, is increased when landfills are made of coal is mined, both of which are human activities.
When might a rover be useful, and why?
A rover might be useful when we are exploring places that aren’t safe for people. Another time rovers might be helpful is when we are exploring places that humans literally can’t go to or conduct research on because of what the planet is made out of. Since a rover isn’t human it can’t experience feelings or get hurt (it can be damaged, but that wouldn’t lose a life) therefore, it’s safer to send a rover at least until we can find out if it’s safe or not.
Explanation:
I had to do this in class
if the intensity of the song of Brown Creeper at your position is 1.4×10^-8wm-2 and frequency is 6kHz,what are the pressure and displacement amplitudes ?
pressure amplitude = 3.43 mPa and displacement amplitudes = [tex]2.16*10^-^1^0[/tex] m
Intensity and pressure amplitude is = I =Δp^2/2pv
I is the intensity of the sound wave
Δ is the pressure amplitude
v - velocity of a sound wave and p - density of air
where as; p= 1.225kg/m^3
I = 1.4×10^-8W/m^2
V = 343 m/s
Δp= [tex]\sqrt{2pvI[/tex]
ie., [tex]\sqrt{2*1.225*343*1.4*10^-^8[/tex] = 3.43 mPa
Intensity and displacement amplitude = [tex]I=2π^2pf^2vΔs^2[/tex]
where; f= frequency of sound
Δs = displacement of amplitude; I is the intensity of the sound wave
v - velocity of a sound wave and p - density of air
Δs=[tex]\sqrt{I/2\pi ^2pf^2v[/tex] = [tex]2.16*10^-^1^0[/tex]m
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if we knew how much work was needed to push the car off the cliff in just five seconds, could be calculated.
It is your job to lift the stone from the ground. Carrying a stone in a straight line across the grass at a constant speed doesn't work.
Kinetic energy is directly proportional to the square of the object's mass and velocity. If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms meters squared/second.
Crash Energy Conversion Most of the kinetic energy in the crash process is converted into the internal energy of the vehicle. This is because the internal energy increases significantly due to the plastic deformation of the metal after the collision. Another kinetic energy is converted into heat energy sound energy etc.
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What Happens After Water Vapor Condenses?
Answer:
after water vapor condenses it is cooled down enough to turn back into a liquid and forms clouds in the air
The Harrier Jump Jet is a fixed wing military jet designed for vertical takeoff and landing (VTOL). It is capable of rotating its jets from a horizontal to a vertical orientation in order to takeoff, land and conduct horizontal maneuvers. Determine the vertical thrust required to accelerate an 8600-kg Harrier upward at 0.40 m/s/s
Vertical thrust = 8600 kg x 0.40 m/s/s = 3440 N
Rank the following from greatest to least for the percentage of its volume above the water line: a. Basketball floating in fresh water b. Basketball floating in saltwater c. Basketball floating in mercury
Basketballs floating in saline water, mercury, and air are all examples of the same phenomenon (basketball floating in fresh water.)
What is the liquid's volume?The volume of liquid that a vessel holds is measured in standard units as the liquid measurement. It is sometimes referred to as the vessel's "volume" or "capacity." Juice bottle with a 1 liter capacity and a baby milk bottle with milliliter measuring indications.
Briefing:Fresh water density, salt water density, and mercury density
Volume submerged times liquid density times gravitational acceleration equals buoyant force.
It will submerge less because hydrostatic pressure will be greater than in mercury.
The height of the basketball above the water is lower in fresh water than salt water or mercury.
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why is the signal preferred over analogue signal for telecommunication?
The communication systems used analog signaling (telephones) are used but as the technologies use digital signals because of some advantages.
What is telecommunications?The term telecommunication refers to the transmission and exchange of information from one place to another. Telecommunication is beneficial for saving time, energy, and money. Nowadays, the companies are mainly used in telecommunication.
Telecommunications are mainly based on signals. Telecommunication is a type of electronic transaction that uses telephone, radio, data, image, optical, and electromagnetic waves. The electromagnetic spectrum means the frequency and wavelength of radiation. Signal which are continuous as time varies are analog signals.
Thus, examples of analog signals are Human voice, Thermometer, Analog phones etc. The advantage of digital technology are noise immunity, encryption, bandwidth efficiency, and the ability to use repeaters for long-distance transmission.
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a 28.5 g piece of gold is heated and then allowed to cool. what is the change in temperature ( °c) if the gold releases 0.213 kj of heat as it cools? the molar heat capacity of gold is 25.4 j/mol･ °c.
Considering the definition of calorimetry and sensible heat, the change in temperature if the gold releases 0.213 kJ of heat as it cools is 57.83°C.
Calorimetry and sensible heatCalorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat. It is calculated by the expression:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance.ΔT is the temperature variation.Change in temperature in this caseIn this case, you know:
Q= 0.213 kJ= 213 J (being 1 kJ=1000 J)c= 25.4 J/molCm= 28.5 g× 196.967 g/mole= 0.145 moles (being 196.967 g/mole the molar mass of gold)ΔT= ?Replacing in the definition of sensible heat:
213 J= 25.4 J/molC× 0.145 moles× ΔT
Solving:
ΔT= 213 J÷ (25.4 J/molC× 0.145 moles)
ΔT= 57.83 °C
Finally, the change in temperature is 57.83°C.
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a long straight wire is in the plane of a rectangular conducting loop. the straight wire initially carries a constant current iin the direction shown. while the current i is being shut off, the current in the loop is:
The current in the rectangular conducting loop will be in the clockwise direction because of the long straight wire.
The long straight wire is carrying the current and it is in the Plane of the rectangular conducting loop.
The wire is carrying the current in the upward direction with respect to the plane of the paper.
When there is a current in the long straight wire there will be a magnetic field around the wire. When the current in the wire is being shut off the magnetic field will start to decrease as a result of the change in magnetic flux because of the change in magnetic field.
The induced current in the loop will generated in such a way that the decrease in magnetic field is opposed.
So, the current in the loop will be in the clockwise direction.
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which of the following measurements can be made only by recording and comparing the amount of light received from an astronomical source at many different times? which of the following measurements can be made only by recording and comparing the amount of light received from an astronomical source at many different times? the general shape of an interstellar cloud of gas the number of bright stars in a nearby star cluster the rate at which a variable star brightens and dims the color of a planet
The rate at which a variable star brightens and dims is determined by this process.
A light curve is the measurement of a celestial body's brightness at certain intervals and over a given period of time (hours, days, months...). This is called Light Curve Analysis.Asteroids shine due to the Sun's light reflecting off their surface, and their brightness might vary due to one or more of the following factors: The asteroid's distance to us is changing (closer objects appear brighter). The asteroid's phase, just like the Moon's, is changing as it orbits around the Sun (the larger the area of the asteroid that is illuminated, as seen from Earth, the brighter it will appear). The asteroid, because of its irregular shape, reflects light differently as it spins. If the orbit of an asteroid is well known, the first two effects can be numerically calculated and their contributions removed from the measured light curve. We are then left with a light curve whose changes are due solely to the spinning of the asteroid.To know more about stars visit;
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What are organisms that make their own food called a consumers B carnivores C omnivores D producers?; What capture energy from the sun and make their own food?; Which rely on other organisms for their energy and food supply?; Which organisms are producers in this food web Why are they considered producers?
The organisms that make their own food are called producers because the capture energy from the sun and make their own food. Consumers rely other organisms for their energy and food supply. The organisms that are producers are plants.
In the food web There are several levels in which organisms are divided into producer and consumers. The consumers are those which rely on other organisms for their food energy supply.
The producers are those organisms which make their own food by capturing the energy from the Sun and performs photosynthesis for their food production. In any food web the producers are mainly the plants that performs photosynthesis.
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What did Hubble discover about a distant star?; What is Hubble's most famous image?; What do you observe about the stars in the Hubble image?; How many pictures did the Hubble telescope take?
Hubble discovery are Pillars of Creation, Telescope takes more than 4 images, Things farther from Earth were moving away faster.
Hubble made the amazing discovery that a galaxy's redshift exactly correlated with its distance from the earth. That implied that objects farther from Earth were dispersing more quickly. To put it another way, the cosmos must be growing. In 1929, he made his discovery public.
The "Pillars of Creation," three huge cosmic dust and gas trunks that appear in one of the most well-known Hubble images, are officially known as Messier 16 (M16), and they are a component of the larger Eagle Nebula (opens in new window).
Many contenders for the most distant galaxy ever detected have been found in the 2009 infrared picture of the Hubble Ultra Deep Field, which has proven an extraordinarily rich hunting field for astronomers who study the early Universe.
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An ideal gas with enough molecules to make NkB equal to 5.5 J/K undergoes an isothermal expansion at 475 K .
Part B: How much heat is absorbed by the gas if the final pressure value is such that pfpi= 0.16 ?
0.27 10 23 particles are equal to 6.022 10 23 22.4. Consequently, there are 0.27 1023 molecules in 1 liter of any gas at S.T.P.
What make up an ideal gas' molecules?
The molecules of an ideal gas have no volume.
The molecules of the gas take up volume because they spread out over a broad area of space, whereas the molecules of an ideal gas are modeled as point particles with no volume on their own.
What three premises apply to an ideal gas?
There are four guiding principles that determine if a gas is "ideal": The volume of the gas particles is quite small. The gas particles are of similar size and do not interact with one another through intermolecular forces (attraction or repulsion). The random motion of the gas particles is consistent with Newton's Laws of Motion.
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An SUV's engine provides 3500 N of force for a vehicle that has a mass 2000 kg. If an engineer develops a new chassis for the SUV that is two times the mass, what is the acceleration of the vehicle with the new chassis?
A. 0.88 m/s^2
B. 5.7 m/s^2
C. 1.75 m/s^2
D. 1.14 m/s^2
Answer:
A. 0.88 m/s²
Explanation:
Newton's second law:
F = ma
The force is 3500 N, and the mass is 2×2000 kg = 4000 kg.
3500 N = (4000 kg) a
a = 0.88 m/s²
Three enemy spacecraft have been causing trouble in the asteroid belt. They always travel in a line, evenly spaced apart, attempting to chase down local spacecraft to steal their goods. The local asteroid colonists have decided to set a trap to capture these three spacecraft. They'll get them to chase one of their fastest ships into an asteroid with a large hole in it and, once the three enemy ships are inside, close two giant trapdoors on each side of the asteroid to catch them. These spacecraft all travel close to the speed of light so the locals will have to take relativity into account. Intelligence about the enemy spacecraft reveals that, in their reference frame, they always travel 90 m behind their teammate, each spacecraft is 10 m in length, and their maximum velocity is 90% the speed of light (relative to the asteroids). The asteroid tunnel is only 215 m in length. In this problem we will analyze whether the locals will be able to capture the enemy spacecraft after taking into account relativity.
Part A: If the spacecraft are traveling at 90% the speed of light, what is the total length L of the three-spacecraft team as observed from the asteroid?
Part B: Suppose the trigger is set so that the moment the first enemy spacecraft enters the asteroid a signal is sent at the speed of light to the other end of the asteroid to trigger the rear trapdoor. How long a time will this signal take to get to the rear of the asteroid?
Part C:How close d_rear to the rear of the asteroid will the first enemy spacecraft be when the trapdoors close?
Part D:One of the local students had been studying relativity and began to question the plan. How would this all appear to the enemy spacecraft as they flew through the asteroid? Specifically, if the spacecraft were in an inertial frame (i.e., one with no acceleration) how long would the asteroid tunnel appear to be in their rest frame?
Part A: If the spacecraft is traveling at 90% the speed of light, the total length L of the three-spacecraft team as observed from the asteroid is 31 meters.
Part B: The signal will take 0.732 seconds to reach the rear of the asteroid.
Part C: The first enemy spacecraft will be 7.3 meters from the rear of the asteroid when the trapdoors close.
Part D: In the inertial frame of the enemy spacecraft, the asteroid tunnel would appear to be 639 meters long.
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a cylinder is to be created with a volume of 60 cm3. what should be the dimensions of the cylinder (height, radius) that minimize surface area? recall that, for a cylinder, ix
In geometry, a cylinder's volume is referred to as its capacity, and this definition can be used to determine how much material it can carry.
What is the equation for a cylinder's volume? The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to r 2 h cubic units.
If you know the cylinder's height and volume: Make that the height and volume are expressed in the same units (for example, cm3 and cm), and the radius is expressed in radians. Multiply the height and pi to get the volume. the outcome squared. If you know the height (h) and surface area:
The cylinder formulas are: entire surface area = 2πr (r+h) square units Volume of cylinder = πr 2 h cubic units
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2. (5 points) consider the following circuit. find the complex power of the load (consisting of li, c1, and r1). you must show voltage polarities and current directions. l1 2h c1 1f sqrt(2) cos(t) v v1 r1 1ohm load
An electrical circuit is made up of bigger metal sections called planes and embedded metal surfaces called traces on a rigid framework called a printed circuit board.
What Is a Printed Circuit Board?An electrical circuit is made up of bigger metal sections called planes and embedded metal surfaces called traces on a rigid framework called a printed circuit board. The board's metal pads, which connect components to the board's circuitry, are soldered with solder. Components may now be connected thanks to this. One, two, or more circuitry layers can be present on a board.To ensure pure circuitry transmission, circuit boards are constructed with a dielectric core material with limited electrical conductivity, and as necessary, additional layers of metal and dielectric are placed between the core and the interstices. The copper-based metal lines and planes that make up the circuitry are typically employed as the circuit board's standard dielectric material, which is a flame-resistant composite made of woven fiberglass fabric and epoxy resin.
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A square steel bar of side length w = 0.13 m has a thermal conductivity of k = 14 J/(s?m?ÂC) and is L = 2.8 m long. Once end is placed under a candle so that the temperature is T1 = 75Â C while the other end rests on a block of ice so that the temperature is a constant T2. 1) Input an expression for the heat transferred to the cold end of the bar as a function of time, using A = w2 as the cross-sectional area of the bar. 2) How much energy, in joules, was conducted in 1 hour, assuming T2 = 0Â C? 3) Input an expression for the mass of the water melted in 1 hour using Q1 from above and Lf the latent heat of fusion.
The amount of energy required for heat transfer and mass of melted ice is 25917.84J and 77.83g respectively.
Latent heat arises from the work required to overcome the forces that hold the atoms or molecules within the material together. The regular structure of crystalline solids is maintained by the attractive forces between individual atoms. The attractive force oscillates slightly around its mean position in the crystal lattice. As the temperature increases, these movements become more violent, and at the melting point the attractive forces are no longer sufficient to maintain the stability of the crystal lattice. However, additional heat (latent heat of fusion) must be supplied (at constant temperature) to make the transition to a more disordered liquid state. In the liquid state, individual particles are no longer held at fixed grid points. It can move freely in liquids. Liquids differ from gases in that the attractive forces between particles are sufficient to maintain long-range order, which gives liquids some degree of cohesion. The heat conduction formula is,kA(T1-T₂)/L=Q
Q(t) =Q
Q(t) is the heat transfer as function of the time.
The heat transfer as function of the time is,kw²(T₁-T₂)t
=(14J/sm°C)(0.13m)2(75°C-0°C)(1h 36008
2.8m
= 25917.84J
The amount of heat energy needed to to melt the ice is,Q = mL
Therefore, m =Q/L
=2.5917*10 J / 3.33*105J/kg
= .07783 kg = 77.83g
So, 77.83g of amount ice will be melt
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What constitutes an electric current in a metal?; What is an electric current ?; Which particles move in a metal to cause an electric current?; How does electrical current flow?
Electrons are negatively charged particles and they transfer energy through wires as electricity electrons are responsible in metal to cause an electric current.
Some of an atom's outside electrons are free to travel throughout the metal lattice in a metal rather than being attached to specific molecules as they are in insulating materials or entire bands in molecular solids. These conduction electrons are capable of acting as current-carrying charge carriers. Because there are so many of these free electrons in metals, they are very conductive. These electrons travel at random due to thermal energy in the absence of an external electric field, but there is typically no net current flowing through the metal. These erratic movements move at an average pace of 106 metres per second at room temperature.
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FILL IN THE BLANK. The wind is moving from a rough to a smooth surface; at the same height wind over the smooth surface gets with fetch. a) faster b) slower c) None of the above
Option A, The wind is moving from a rough to a smooth surface; at the same height wind over the smooth surface gets faster with fetch.
The wind can move more quickly over a smooth surface as compared to a rough one at the same height. This is known as fetch. The exchange of momentum between the atmosphere and the ocean is facilitated by surface winds, which generate ocean waves and drive ocean circulation.
This circulation transports heat and carbon around the globe. As the roughness of the surface increases, the wind speed at the surface decreases. However, when the roughness length is shorter, there is less exchange between the surface and the atmosphere but the winds near the surface become stronger.
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What happens when light rays pass from air to water?; What is the bending of light rays due to a change in?
When light rays enters from air to water, its speed decreases. It bends towards the normal.
Refraction is the bending of light because of a change in medium. There may be two ways of bending light- towards the normal or away from the normal.
Optical density is the concept that determines the way the light will bend while changing the medium. A medium in which the speed of light is less is called an optically denser medium, and a medium in which the speed of light is more is called an optically rarer medium.
When light enters from an optically rarer medium to an optically denser medium, its speed decreases, and it bends toward the normal. When light enters from an optically denser medium to an optically rarer medium, its speed increases, and it bends away from the normal.
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