Answer:
0.5m/s²
Explanation:
F =m x a
3.5 = 7 x a
a = 3.5 /7
a = 0.5m/s ²
Because most particles fired at metal foil passed straight through, rutherford concluded that.
Because most particles fired at metal foil passed straight through, Rutherford concluded that only a small area of an atom is positively charged called the nucleus.
According to Rutherford's atomic model, the atom is a tiny particle that is made up of fundamental objects called electrons, protons, and neutrons.
In the center of an atom, there is a dense, micro-sized, and positively charged nucleus.
All the mass of an atom resides in the nucleus around which small and negatively charged particles revolve in orbitals called electrons.
However, this model suggests that when electrons were bombarded on gold metal foil, most of them went straight and only a few changed their path after colliding with the positively charged nucleus.
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8. a car enters a freeway with a speed of 23 km/h and accelerates to a speed of 86 km/h in 3.5 min. how far does the car move while accelerating?
The car moves 50 km while accelerating.
What is acceleration?
In mechanics, speed increase is the pace of progress of the speed of an article regarding time. Speed increases are vector amounts. The direction of an item's speed increase is given by the direction of the net power following up on that article. For instance, when a vehicle begins from a halt (zero speed, in an inertial casing of reference) and goes in an orderly fashion at speeding up, it is advancing toward movement. In the event that the vehicle turns, a speed increase happens toward the new bearing and changes its movement vector. The speed increase of the vehicle in its momentum bearing of movement is known as a straight (or distracting during roundabout movements) speed increase, the response to which the travelers on board insight as a drive pushing them once again into their seats. While taking a different path, the affecting speed increases.
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A girl rides her bike at 18 m/s for 31 s. How far does she travel in that time
Answer: 558 meters in 31 seconds.
Explanation:
You simply do 18*31 because every single second for thirty one seconds, the girl is going 18 meters.
Therefore, at this rate, she would ride about 558 meters in 31 seconds.
Answer:
558 m
Explanation:
The formula for distance, given speed and time, is D=ST. When you plug the numbers into this, D=(18)(31), and 18 times 31 *puts in calculator* is 558.
The speed is in meters per second, so meters would be your unit.
So, the answer is 558 m.
Hope I helped!!! :)
Will the following pairs of atomic orbitals interact constructively, destructively, or with no net overlap if they approach along the indicated axis?.
If the atomic orbitals are oppositely charged then they interact destructively.
In Chemistry, molecular orbital theory refers to the pattern of electron movement in a molecule.
It states that electrons have wave-like nature and their combination is the result of the atomic wavefunction.
According to this theory, there are two types of orbitals: bonding orbitals (BO) and anti-bonding orbitals(ABO).
Electrons in bonding orbitals make the molecule more stable as compared to electrons of anti-bonding orbitals.
Atomic orbitals form molecular orbitals and the combination of waves in molecule orbitals forms constructive and destructive interference. In-phase waves give rise to constructive interference.
While the combination of out-of-phase waves results in destructive interference that results in a straight line with no amplitude.
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a woman walks due west on the deck of a ship at 3 mi/h. the ship is moving north at a speed of 18 mi/h. find the speed and direction of the woman relative to the surface of the water.
The velocity of a woman is (3i + 18j) m/s with a magnitude of 18.25 m/s and 80.54⁰ from the west.
We need to know about vectors to solve this problem. Velocity is included in vectors because it has magnitude and also direction. Velocity can be determined as the distance traveled divided by time interval. Velocity can be written as
v = vx i + vy j
the magnitude of velocity can be determined as
|v| = √(vx² + vy²)
the angle of the vector from x-axis is
tanθ = vy / vx
From the question above, we know that
vx = ( 3 i )mi/h
vy = ( 18 j ) mi/h
Hence, the velocity relative to the surface water is
v = vx i + vy j
v = (3i + 18j) m/s
the magnitude is
|v| = √(vx² + vy²)
|v| = √(3² + 18²)
|v| = √333
|v| = 18.25 m/s
the direction is
tanθ = vy / vx
tanθ = 18/3 = 6
θ = 80.54⁰
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How long would it take an airplane to travel 1350m if it started from rest and accelerated at a constant 3.00 m/s^2?
The time taken for the airplane to travel 1350 m from rest is 30 s
Data obtained from the questionThe following data were obtained from the question:
Initial velocity (u) = 0 m/sDistance (s) = 1350 mAcceleration (a) = 3 m/s² Time (t) = ?How to determine the timeThe time taken to travel the distance of 1350 m can be obtained as follow:
s = ut + ½at²
1350 = (0 × t) + (½ × 3 × t²)
1350 = 0 + 1.5t²
1350 = 1.5t²
Divide both sides by 1.5
t² = 1350 / 1.5
t² = 900
Take the square root of both sides
t = √900
t = 30 s
Thus, it will take 30 s for the plane to travel a distance of 1350 m
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don is 10 kilometers ahead of jane, and both are traveling forward. how long will it take jane to catch up with don if jane is traveling at 10 k.p.h and don at 6 k.p.h. ?
The time it takes Jane to catch up with Don if Jane is traveling at 10 k.p.h and don at 6 k.p.h is: 2.5 h
The formula and procedure we will use to solve this problem is:
Tr = x/(v2-v1)
Where:
x = separation distanceTr = reach time v2 = velocity of the faster mobilev1 = velocity of the slowest mobileInformation about the problem:
x = 10 kmv2 = 10 km/hv1 = 6 km/hTr=?Applying the reach time formula we get:
Tr = x/(v2-v1)
Tr = 10 km/(10 km/h- 6 km/h)
Tr = 10 km/(4 km/h)
Tr = 2.5 h
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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(a) a spring stretches by 0.015 m when a 1.75 kg object is suspended from its end. what is its spring constant? (b) how much mass should be attached to the spring so that its frequency of vibration is f
(a) Total force along y axis,
∑F =ma=0
kx−mg=0 ⇒k= [tex]\frac{mg}{x}[/tex]
The spring constant is, k is
k=(1.5)×(9.8)/(0.020)=14.7/0.020 =735N/m
(b) Frequency f = [tex]\frac{1}{2} \pi[/tex] [tex]\sqrt{\frac{k}{m} }[/tex] ⇒ 4[tex]\pi ^{2}[/tex][tex]f^{2}[/tex] = [tex]\frac{k}{m}[/tex]
[tex]\frac{k}{4\pi ^{2}f^{2} }[/tex]= m ⇒ m = (735)4[tex]\pi ^{2}[/tex](3.0)(0.3)
=(735)×4×(3.75)×(3.75)×(9.0)
=735×4×9.85×9.0=7354×9.85×9.0
=735354.6 N
=2.07kg
The spring constant is the force required to stretch or compress the spring divided by the distance the spring is lengthened or shortened. It is used to determine the stability or instability of a spring and thus the system for which it is intended. It is denoted by k.
Therefore the spring constant is 735 N/m and the mass should be 2.07kg.
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in the trapazoid below, x=?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs. The value of x is 12.
What is a Trapezoid?A four-sided shape called a trapezoid has one pair of parallel sides. It fundamentally resembles a square, rectangle, or parallelogram in two dimensions. So, like other shapes, this one has a boundary and an area.
There are some Mid-segment characteristics :
Parallel to each boxHalf the sum of length of the basesAlso called the medianNow, according to the diagram, make an equation :
5x-20 = [(2x+6) + (4x+2)] / 2
5x-20 = (6x+8)/2
5x-20 = 3x+4
5x-3x = 20+4
2x = 24
x = 12
Hence, the value of x is 12.
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two like charges of the same magnitude are 5.0 mm apart. if the force of repulsion they exert upon each other is 2.0 n, what is the magnitude of each charge? (the constant of proportionality for the coulombic force is 9.0 × 109 n·m2/c2.)
The magnitude of charge of each particle is 5.55 μC
Given that the two like charges are of same magnitude. Let Q be the magnitude of the charges.
Distance between the particles, r = 5 mm = [tex]5\times 10^{-3}[/tex] m
The force of repulsion exerted upon each other by the charges = 2 N
Coulomb's law states that the force of interaction between the charges is directly proportional to the product of the magnitude of charges and is inversely proportional to the square of the distance between the charges.
I.e., [tex]F = \frac{kQ^2}{r^2}[/tex] , k = [tex]9\times 10^9 Nm^2C^{-2}[/tex] is the constant of proportionality for the Coulombic force.
⇒ 2 = [tex]\frac{9\times 10^9\times Q^2}{5^2\times 10^{-6}}[/tex]
Therefore, [tex]Q^2 =\frac{50\times 10^{-6}}{9\times10^9}[/tex]
Therefore, Q = 5.55 x [tex]10^{-15}[/tex] C = 5.55 μC is the magnitude of the charge of each particle.
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Consider a sign suspended on a boom that is supported by a cable, as shown. What is the proper equation to use for finding the net force in the y direction?
Fnety = (FT)(sin 32°) + Fg
Fnety = (FT)(sin 32°) – Fg
Fnety = (FT)(cos 32°) + Fg
Fnety = (FT)(cos 32°) – Fg
The proper equation to use for finding the net force in the y direction is B. Fnety = (FT)(sin 32°) – Fg
What is net force?The total force acting on an object is its net force. The net force can be determined using Newton's second law, which states that F = ma, where: F is the net force. The object's mass is given by m. Acceleration is a.
The total of all forces acting on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. The net force is a word used in a system where there is a substantial number of forces.
In this case, the proper equation to use for finding the net force in the y direction is B. Fnety = (FT)(sin 32°) – Fg.
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Answer:
B. Fnety = (FT)(sin 32°) – Fg
Explanation:
just did it!
What is the wavelength of the photon needed to excite an electron from e1 to e4?.
The wavelength needed in transition energy is λ = 9.73 x 10¯⁸ m.
We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as
ΔE = E2 - E1
where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.
The state energy of a hydrogen atom can be calculated by
E = -(13.6) / n² eV
E = h.c / λ
where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.
From the question above, we know that
n2 = 4
n1 = 1
By substituting the following parameter, we get
ΔE = E2 - E1
ΔE = -(13.6) / n2² - (-(13.6) / n1²)
ΔE = -(13.6) / 4² - (-(13.6) / 1²)
ΔE = 13.6 - 0.85
ΔE = 12.75 eV
Calculate the wavelength needed
ΔE = 12.75 eV
h.c / λ = 12.75
4.136 x 10¯¹⁵ . 3 x 10⁸ / λ = 12.75
λ = 9.73 x 10¯⁸ m
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Describe the change in motion F = 300 N. V = 0 m/s F = 450 N
When a moving body's direction changes, its velocity doesn't always go to zero. Only when the body's total displacement is zero does velocity become zero.
A change in the body's state of motion is reflected in either a change in the body's speed or its direction of motion. A force is an attempt to alter the status of an object, whether it is stationary or moving. The speed shift might indicate acceleration or slowdown (deceleration). Acceleration measures the change in speed as opposed to velocity, which measures speed in a vector (also in a vector). The velocity is zero, which indicates that although the item is not moving, there is a force exerted on it due to acceleration.
Hence the change in motion is zero
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how many picoseconds are there in 1 Ms?
based on the knowledge you gained from the video and the data that you’ve seen, what do you think is creating the data that kepler gathered? explain your answer
https://youtu.be/gypAjPp6eps
The telescope created the data gathered by Kepler and his team.
What is a star?
A star is a large luminous astronomical body which produces light and heat energy as well as radiation.
There are billions of stars in the universe organized into galaxies.
The Sun is the star of our solar system.
The Kepler project produced a wide range of data products and documentation to assist the community in using data from the mission to help study both exoplanets and other astrophysical areas.
In the video, a mysterious star was observed which is 50 percent bigger and 1,000 degrees hotter than the Sun.
By mean of telescopes, it was observed that the dimming seen in the diet was dues to dust particles.
These data produced ranges from engineering data on the detectors to lists of planet candidates and includes many of the intermediate data products in the data processing path.
The Kepler first mission came to an end after four years when two of the four reaction wheels, used to point the spacecraft malfunctioned.
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The car covers a distance of 20 km due east in two hours and truck covers 60 km in 3 hours due west. What is their speed and velocity?
Taking into account the definition of speed ans velocity, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.
Definition of speedSpeed is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
speed= distance traveled÷ time
Definition of velocityVelocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction. So it is considered a vector magnitude.
The velocity can be calculated using the expression:
velocity= distance traveled÷ time
Velocity has units of distance/time and includes direction of travel.
Speed and velocity in this caseIn this case, you know:
The car covers a distance of 20 km due east in two hours. Truck covers 60 km in 3 hours due west.The speed and velocity of the car can be calculated:
speed= 20 km÷2 hours= 10 km/hvelocity= 20 km÷2 hours= 10 km/h due east.The speed and velocity of the truck is calculated as:
speed= 60 km÷3 hours= 20 km/hvelocity= 60 km÷3 hours= 20 km/h due west.In summary, the speed and velocity of the car are 10 km/h and 10 km/h due east respectively and the speed and velocity of the truck are 20 km/h and 20 km/h due west respectively.
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A 30.0 -turn solenoid of length 6.00 cm produces a magnetic field of magnitude 2.00 mT at its center. Find the current in the solenoid.
The current in the solenoid is [tex]3.18\times10^{-11}A[/tex].
Solenoids are basically coils of twine. These generate a magnetic subject that strives a pressure over a steel component.A magnet could be a basic period of time for a coil of twine that we have a tendency to use as associate magnet.We to boot ask the tool that might convert power into mechanical power as a magnet.Actually it generates a magnetic subject for developing linear movement from the electrical up-to-date. With employing a magnetic subject.Magnetic field at the centre of a solenoid of length 'L' having 'N' number of turns with a current 'I' is given by [tex]B=\frac{u_0NI}{L}[/tex] ...(1)It is given that 30.0 -turn solenoid of length 6.00 cm = 0.06m produces a magnetic field of magnitude 2.00 mT at its center .
Putting above values in equation (1) , we get
[tex]2.00=\frac{4\pi \times10^{-7}\times30.0I}{0.06} \\\\I=\frac{2.00\times0.06}{4\pi \times10^{-7}\times30.0} \\\\I=3.18\times10^{-11}A[/tex]
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a 0.40kg mass is attached to an ideal spring. if it oscillates horizontally with a period of 0.50s and an amplitude of 0.20m, then determine the spring constant of the spring? group of answer choices
By angular speed, the spring constant is 63.21 N/m.
We need to know about the angular speed of harmonic oscillation. the angular speed can be determined as
ω² = k / m
where ω is angular speed, k is spring constant, and m is the mass.
The angular speed can be calculated by
ω = 2π/T
Hence,
ω² = k / m
(2π/T)² = k / m
where T is period.
From the question above, we know that:
m = 0.4 kg
T = 0.5 s
By substituting to the equation, we get
(2π/T)² = k / m
(2π/0.5)² = k / 0.4
158.04 = k / 0.4
k = 63.21 N/m
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Answer:
63 N/m
Explanation:
Khan
The total leaf area a of a leafy plant scales with the total plant's mass m as a∝m3/4. Part a if you replace one large tree with two smaller trees, each with half the mass of the original tree, by what factor do you increase the total leaf area?
The total leaf area is increased by a factor of 1.
What is the total leaf area, a of the tree?The total area of the leafy plant is given by the formula below:
Area, a ∝ m3/4a = k m/34
where m is the mass of the tree
The mass of the two smaller trees are half the masses of the bigger trees.
The total area of each of the smaller leafy plants are given are given as follows:
a ∝ m/2 * 3/4
a ∝ m3/8
a = k * m * 3/8
The total area of the two trees: k * m * 3/8 + k * m * 3/8
a = 2 * k * m * 3/8
a = k * m * 3/8
Therefore, the area is increased by a factor of 1.
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What is simple slope/ what is the simple slope equation?
The slope of a line is also referred to as the gradient and it is the number which describes both the direction and the steepness of the line.
What is Slope equation?This type of formula is used to calculate how steep a line is and is usually denoted as m. The formula can be seen below:
m = y2-y1 / x2-x1
Slope can be defined as the ratio of the vertical change between two points to the horizontal change between two points and measures the steepness of a line.
The chosen answers provided are therefore the most appropriate in this context.
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what is her angular momentum around the center of the merry-go-round with the child and the ball on it
Answer: The total angular momentum of the person-merry go round system is constant
Explanation:
A proton, an electron, and a helium nucleus all move at speed v . Rank their de Broglie wavelengths from largest to smallest.
Ranking of de Broglie wavelengths from largest to smallest is electron > proton > helium
De Broglie proposed that because light has both wave and particle properties, matter exhibits both wave and particle properties. This property has been explained as the dual behavior of matter.From his observations, de Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship
De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex] .....(1) , where λ is known as de Broglie wavelength and m is mass , v is velocity , h = Plank’s constant.
From equation (1) wavelength and mass has an inverse relation .
Mass of helium is 4 times the mass of the proton and proton has a greater mass than electron.
According to equation (1) , less the mass higher will be the wavelength
Hence electron having less mass have higher wavelength and then proton and then helium having large mass will have less wavelength .
Thus, order should be electron > proton > helium .
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You exert a force of 100N on a rope that pulls a sled across a flat icy surface. The rope is oriented 30 degrees above the horizontal. The sled has a mass of 10kg and it is carrying a 30kg child. The sled starts at rest. You can assume friction is negligible.
You reach a hill and start going up, still applying a constant 100N force at 30 degrees from the slope. The sled is now moving at constant speed. What is the angle of the slope?
The angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°
Given that,
Force, F = 100 N
Mass, m = 10 + 30 = 40 kg
Angle at which the force is applied, θ = 30°
Resolving the force applied into its horizontal and vertical components,
cos θ = [tex]F_{x}[/tex] / F
[tex]F_{x}[/tex] = 100 * cos 30° = 100 * 0.866
[tex]F_{x}[/tex] = 86.6 N
A force due to the weight of the cart is applied on the ground which is directly vertical downwards. But the slope is at an angle. So resolving this force into its horizontal and vertical components.
sin θ = [tex]w_{x}[/tex] / w
w = m g
w = 40 * 9.8
w = 392 N
Given that the velocity when travelling up the slope is constant. So the acceleration is zero.
Σ [tex]F_{x}[/tex] = m a = 0
[tex]F_{x}[/tex] - [tex]w_{x}[/tex] = 0
[tex]w_{x}[/tex] = 86.6 N
θ = [tex]sin^{-1}[/tex] ( 86.6 / 392 ) = [tex]sin^{-1}[/tex] ( 0.22 )
θ = 12.7°
Therefore, the angle of slope if the sled carrying a 30 kg child which is moving at a constant speed is 12.7°
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The function =pmt(c5,c7,-c3) is stored in cell c15. What must be stored in cell c5?
When function =pmt(c5,c7,-c3) is stored in cell c15. Cell c5 must contain a Periodic interest rate.
We know that periodic interest rate is the rate that is realized on an investment, or loan over a specific period of time. Basically, the periodic rate is the annual interest rate divided by the number of periods.
In Excel the syntax of Rate Function is RATE(nper, pmt, pv, [fv], [type], [guess]), where pv stands for the loan amount, nper is the period of payment and pmt is the periodic payment.
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Give me an example of a hypothesis in a proper format
Answer: Students who eat breakfast will perform better on a math exam than students who do not eat breakfast.
Explanation:
Hope this helps!
What is astrology considered?
A. A pseudoscience
B. A peer reviewed Science
C. A true science
D. A soft science
Answer:
It might be A!
Explanation:
I'm not entirely sure!
the density of liquid mercury is 13.5 g/cm3. what mass (in kg) of mercury is required to fill a 2.00 l container?
27.00 kg of liquid mercury is needed to fill a 2.0 L container.
The required mass of mercury in kg to fill a 2.0 L container can be determined through proper conversion of units.
Conversion of cm3 to L:
1 cm3 = 1 mL and 1000 mL = 1L
1000 cm3 = 1 L
Conversion of g to kg:
1000 g = 1 kg
Determine the product of density and volume of the container to solve for the required mass of mercury.
(13.5 g/cm3) x ( 1000 cm3/1 L) x (2.0 L) = 27,000 g
27,000 g * (1 kg/1000 g) = 27 kg of mercury
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The Sun is lower in the sky during the winter than it is during the summer. (b) How does this change affect the weather?
When the Sun is lower in the sky during the winter than it is during the summer, reduced flux results, on the average, causes colder weather while increased flux causes hot weather.
The sun's rays strike the Earth at an acute angle during the summer. Because the light does not spread as much, the quantity of energy striking any specific location is increased. Furthermore, the lengthy daytime hours give the Earth plenty of time to warm up or become hot. In contrast, during the winter, the sun's rays strike the Earth at a shallow angle. These beams are more dispersed, reducing the amount of energy that impacts any specific place. Furthermore, the long nights and short days keep the Earth from overheating. As a result, we have cold weather.
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Why is the following situation impossible? A team of researchers discovers a new gas, which has a value of γ = C_P / C_V of 1.75.
A team of researchers discovers a new gas, which has a value of 1.75 which is impossible. Because the value of the heat capacity is 1.66.
What is the heat capacity ratio?The heat capacity ratio sometimes referred to as the adiabatic index, the ratio of specific heat, or Laplace's coefficient in heat engineering and thermodynamic parameters, is the fraction of the heat capacity at constant pressure [tex]( \rm C_P)[/tex] to the heat capacity at constant volume [tex](\rm C_V)[/tex].
For the mono-atomic gases, the heat capacity ratio is maximum, then it decreases with bi-atomic gases, and it further decreases for tri-atomic gases.
A group of scientists finds a new gas with a heat capacity of 1.75 which is impossible. Due to the maximum heat capacity value is 1.66.
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A physicist drives through a stop light. When he is pulled over, he tells the police officer that the Doppler shift made the red light of wavelength 650nm appear green to him, with a wavelength of 520nm . The police officer writes out a traffic citation for speeding. How fast was the physicist traveling, according to his own testimony?
The physicist traveling, according to his own testimony at -6.6 × 10⁷ m/s.
How fast was the physicist traveling, according to his own testimony?Using the formula for doppler shift for light,
λ' = λ√[(1 + v/c)/(1 - v/c)] where
λ = wavelength of source, λ' = wavelength of observer, v = speed of source and c = speed of lightGiven that the driver is moving away from the stop light, we take the driver as the source. Since, the Doppler shift made the red light of wavelength 650nm appear green to him, with a wavelength of 520nm. we have
λ' = wavelength of source = 650 nm, λ' = wavelength of observer = 520 nmSo, substituting the values of the variables into the equation, we have
λ' = λ√[(1 + v/c)/(1 - v/c)]
520 nm = 650 nm√[(1 + v/c)/(1 - v/c)]
520/650 = √[(1 + v/c)/(1 - v/c)]
0.8 = √[(1 + v/c)/(1 - v/c)]
Squaring both sides, we have
0.8² = (1 + v/c)/(1 - v/c)
0.64 = (1 + v/c)/(1 - v/c)
0.64(1 - v/c) = (1 + v/c)
0.64 - 0.64v/c = 1 + v/c
0.64 - 1 = v/c + 0.64v/c
-0.36 = 1.64v/c
-0.2195 = v/c
v = -0.22c
v = -0.22 × 3 × 10⁸ m/s
v = -0.66 × 10⁸ m/s
v = -6.6 × 10⁷ m/s
So, the physicist traveling, according to his own testimony at -6.6 × 10⁷ m/s.
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