A photon is emitted when an electron in a three-dimensional box of side length 7.75×10−11 mm makes a transition from the nx=2nx=2, ny=2ny=2, nz=1nz=1 state to the nx=1nx=1, ny=1ny=1, nz=1nz=1 state. What is the wavelength of this photon?
Answers
The wavelength of the photon emitted is 819 nm.
The energy difference between the initial and final states of the electron is given by the formula:
\(E = (\pi ^{2h^2})/(2mL^2) * (n_f^2 + n_fn_g + n_g^2 - n_i^2 - n_i*n_j - n_j^2)\)
where h is Planck's constant, m is the mass of the electron, L is the side length of the box, and n_i, n_j, and n_k are the quantum numbers of the initial state, while n_f, n_g, and n_h are the quantum numbers of the final state.
In this case, the initial state is nx=2, ny=2, nz=1 and the final state is nx=1, ny=1, nz=1. Substituting these values into the formula, we get:
\(E = (\pi ^{2h^2})/(2mL^2) * (1+2+1-4-4-1) \\E = -(9/2)(\pi ^2*h^2)/(2mL^2)\)
The photon emitted will have energy equal to the energy difference between the initial and final states, so we can use the equation E=hc/λ to find its wavelength. Substituting E and h with the values above, we get:
\(-(9/2)(\pi ^{2h^2})/(2mL^2) = hc/\)λ
Solving for λ, we get:
\(λ = -(2hc)/(9\pi ^{2h^2}/(2mL^2)) \\λ = -(4mL^{2c})/(9\pi ^{2h})\)
Substituting the values given, we get:
\(λ = -(4*(9.10938356e^{-31})(7.75e^{-11})^{2299792458})/(9\pi ^{26.62607015e^{-34}})\)
λ = 8.19e⁻⁸ m or 819 nm
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Related Questions
How to classify line integral of each vector field (in blue) along the oriented path?
Answers
To classify the line integral of a vector field along an oriented path, we first need to determine whether the field is conservative or not.
A conservative vector field is one in which the line integral is independent of the path taken, and only depends on the endpoints of the path. This means that if we have two paths with the same starting and ending points, the line integral will be the same for both paths.
To determine if a vector field is conservative, we need to check if it satisfies the condition of being a "curl-free" field. This means that the curl of the field is zero at every point in space.
If the field is curl-free, then it can be expressed as the gradient of a scalar potential function, and the line integral can be calculated using the fundamental theorem of calculus.
If the vector field is not conservative, then we need to evaluate the line integral directly using the definition. This involves breaking the path into small segments, evaluating the field at each point along the segment, and summing up the contributions.
In order to classify the line integral, we also need to specify the orientation of the path. This is important because the line integral can have different values depending on the direction in which we traverse the path. To specify the orientation, we can use the right-hand rule, which assigns a direction to the path based on the direction of the tangent vector at each point.
In summary, to classify the line integral of a vector field along an oriented path, we need to determine if the field is conservative or not, and then evaluate the line integral using the appropriate method. The orientation of the path also needs to be specified in order to obtain a unique answer.
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PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west
Answers
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west
What is thermodynamics?
a) the way energy changes
b) the classification of energy
c) the movement of energy
d) the movement of heat
Answers
Answer:
I think it is D
Explanation:
Answer:
D :D lol
Explanation:
1.Calculate the wavelength produced by a hydrogen atom when it ejects an electron with its energy (10.9eV). 2. An ionized helium atom inside the sun emits energy (12.1 eV). What is the level number that the electron of a hydrogen atom will move to when it absorbs this amount of energy?
Answers
The wavelength produced by a hydrogen atom when it ejects an electron with its energy of 10.9 eV is approximately 114.4 nm. The electron of a hydrogen atom will move to the n=2 energy level when it absorbs an energy of 12.1 eV.
When a hydrogen atom ejects an electron, the wavelength of the emitted light can be calculated using the equation: λ = hc/E, where λ represents the wavelength, h is the Planck's constant (6.626 x 10⁻³⁴J·s), c is the speed of light (3.00 x 10⁸ m/s), and E is the energy of the emitted electron.
To calculate the wavelength, we plug in the values into the equation: λ = (6.626 x 10⁻³⁴J·s * 3.00 x 10⁸ m/s) / (10.9 eV * 1.60 x 10⁻¹⁹ J/eV). Solving this equation gives us λ = 114.4 nm.
When an ionized helium atom emits energy, we can determine the energy level that the electron of a hydrogen atom will move to by considering the energy difference between the initial and final states. In the case of hydrogen, the energy levels are governed by the formula: E = -13.6 eV / n², where E represents the energy of the electron and n is the principal quantum number.
To find the level number, we equate the energy absorbed (12.1 eV) to the energy difference between the final and initial states of the hydrogen electron. Rearranging the formula and solving for n, we have n² = -13.6 eV / (12.1 eV - (-13.6 eV)). Evaluating this equation, we find n^2 = 14. Therefore, the electron of a hydrogen atom will move to the n=2 energy level when it absorbs an energy of 12.1 eV.
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Why is it necessary to wear a seat belt to hold you in place if you are riding in a car that stops suddenly?
Answers
Answer:
you stop
Explanation:
Answer:
due to inertia with out a seat belt to stop your body will continue to move forward until stoped by some other force.
Explanation:
What force is needed to give a 0.25 kg arrow an acceleration of 196 m/s² question 10 options: 0.25n 49n 196n 748n
Answers
The force that is needed to accelerate the arrow is 49 Newtons.
To determine magnitude of the force needed to give a 0.25 kg arrow an acceleration of 196 m/s², we can use the equation of force:
F = ma
where F is the force, m is the mass, and a is the acceleration.
Given that m = 0.25 kg and a = 196 m/s², we can substitute these values into the equation and solve for F:
F = (0.25 kg)(196 m/s²)
F = 49 N
So the force needed to give a 0.25 kg arrow an acceleration of 196 m/s² is 49 N. This is the correct answer out of the options given.
To arrive at this answer we used Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Thus, we were able to use the equation "F = ma" (where F is force, m is mass and a is acceleration) to solve for the force required to accelerate the arrow at 196 m/s².
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i have a few questions
multipe choice
8) Kinetic energy is the energy of ________.
9)The potential energy of an object depends on its ________ and its height.
10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.
11) Stored energy is called ________ energy.
12) When you move your hand or foot, your body has converted potential energy into ________ energy.
13) When coasting while roller skating, you eventually stop due to ________.
please and thank you
Answers
Energy refers to the ability or capacity to do work. Energy can be of various types as follows:
Mechanical energy (kinetic or potential)Electrical energyLight energySolar energyHeat energyKinetic energy is energy possessed by an object because of its motion while potential energy is energy possessed by an object because of its position or its condition.
The law of conservation of energy states that energy cannot be created nor destroyed but can only be transformed i.e. converted from one form to another.
Friction is a force that resists the relative motion or tendency to such motion of two bodies in contact.
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Which of the following situations violates the second law of
thermodynamics?
OA. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 80 J of heat to a hot reservoir.
B. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 70 J of heat to a cool reservoir.
C. A heat pump absorbs 100 J of heat from a cool reservoir and
releases 120 J of heat to a hot reservoir.
D. A heat engine absorbs 100 J of heat from a hot reservoir and
releases 20 J of heat to a cool reservoir.
Answers
C. A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
What would violate the second law of thermodynamics?In order to operate, a heat engine must reject some of the heat it receives from the high-temperature source to a low-temperature sink.
A heat engine that violates the second law converts 100 percent of this heat to work. This is physically impossible. This heat engine violates the second law of thermodynamics.
The second law can also be stated as no heat engine can have a thermal efficiency of 100 percent.
The thermal efficiency of a heat engine is defined as the ratio of the work output to the heat input:
Clearly, if the thermal efficiency of a heat engine is 100 percent,
Qin=Wout
If the second law precludes a heat engine from having a thermal efficiency of 100 percent. A heat engine is a device that converts a portion of the heat supplied to it from a high-temperature source into work. The remaining heat is rejected to a low-temperature sink.
Therefore:
A heat pump absorbs 100 J of heat from a cool reservoir and releases 120 J of heat to a hot reservoir.
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can all alpha beta and gamma radiation treat cancer
Answers
Answer:
No
Explanation:
Only a few of alpha beta and gamma radiation can treat cancer
A 400 hp engine in a 1,600 kg car applies maximum force for 2 seconds to accelerate the car onto the
interstate. If the car moves at 8 m/s before accelerating, what is its speed after the 2 seconds of acceleration?
Answers
Answer:
I will assume that “maximum force” implies the constant application of power P = 400 hp (international) to accelerating the vehicle. The force will therefore vary with speed as the vehicle accelerates. I will also assume that all engine energy goes into accelerating the vehicle, rather than rotating elements like its wheels.
In this case the 400 hp (equivalent to 298,280 watts) is applied for time t = 2 seconds. Therefore the kinetic energy of the vehicle is increased by:
ΔKE=Pt=(298,280)(2)=596,560 joules.
The initial kinetic energy is:
KEinitial=12mv2
=(0.5)(1600)(82)=51,200 joules.
Therefore final kinetic energy is:
KEfinal=KEinitial+ΔKE
=51,200+596,560
=647,760 joules
Therefore final vehicle velocity can be found:
KEfinal=12mv2
v=2KEfinalm−−−−−−−−√
=(2)(647,760)1600−−−−−−−−−−−√
= 28.455 m/s
Explanation:
(01.05 LC)
Which of the following bones is classified as part of the axial skeleton?
Answers
Answer:c
Explanation:
because it is the same
Answer: skull, vertebrae, ribs and sternum.
Explanation:
1) how can you show that atmospheric exerts pressure?
2) how do you measure the volume of an irregular solid ? explain an experiment with diagram.
Answers
Answer:
1. While boiling replace the cap and allow it to cool. Vapours inside condense and form water creating vacuum above them. Observation - The can crumbles due to air pressure from outside. This proves that air exerts pressure.
2. Measure the volume of the liquid displaced when the object is submerged. Measure the initial volume of water in graduated cylinder. Submerge the irregular object. Measure the final volume of the water.
— The difference between the initial volume and the final volume is the volume of the object.
hope can help ^_^
A car is stopped at a stop light. When the light turns green, it travels south 55 m/s in 5s. What is its acceleration? *
Answers
Answer:
11m/s^2
Explanation:
Acceleration can be calculated by diving speed by time. Since we know speed and time, acceleration can be calculated.
55/5 = 11m/s^2
Answer all questions in the spaces provided. Kalpana finds a small stone. To help her identify the type of stone, Kalpana decides to find its density. Kalpana explains why she thinks this will help. Her friend Diana disagrees. Below are their explanations. Kaplana The density will be the same, whatever the size of the stone, as long as the type of rock is the same. Bigger stones will have a higher density because they are heavier. Diana (a) Whom do you think gave the correct explanation? Give a reason. (2 marks) ******
Answers
I believe Kalpana gave the correct explanation.
The reason is that density is a property of a material that remains the same regardless of the size of the sample. Density is defined as mass divided by volume (density = mass/volume), and it is a characteristic property of a particular type of rock.
Bigger stones will indeed be heavier, but their volume will also increase proportionally, maintaining the same density value. So, the density will be the same for any size of the stone, as long as the type of rock is the same.
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complete question not found in search engine.
1. A satellite (mass = 4.44 x 109 kg) travels in orbit around the Earth at a distance of 1.9 x 10'm above
Earth's surface. What is the force of gravitational attraction between the satellite and Earth?
Answers
Answer:
The force of gravitational attraction between the satellite and Earth is \(2.587\times 10^{10}\) newtons.
Explanation:
Statement is incorrect. Correct statement is:
A satellite (\(m = 4.44\times 10^{9}\,kg\)) travels in orbit around the Earth at a distance of \(1.9\times 10^{6}\,m\) above Earth's surface. What is the force of gravitational attraction between the satellite and Earth?
The gravitational force experimented by the satellite (\(F\)), in newtons, is calculated by Newton's Law of Gravitation, whose equation is defined by following formula:
\(F = \frac{G\cdot m \cdot M}{R^{2}}\) (1)
Where:
\(G\) - Gravitational constant, in cubic meters per kilogram-square second.
\(m\) - Mass of the satellite, in kilograms.
\(M\) - Mass of the Earth, in kilograms.
\(R\) - Distance of the satellite with respect to the center of the Earth, measured in meters.
If we know that \(G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}\), \(m = 4.44\times 10^{9}\,kg\), \(M = 5.972\times 10^{24}\,kg\) and \(R = 8.271\times 10^{6}\,m\), then the force of gravitational attraction between the satellite and Earth is:
\(F = 2.587\times 10^{10}\,N\)
The force of gravitational attraction between the satellite and Earth is \(2.587\times 10^{10}\) newtons.
an object with an initial speed of 4.0 meters per second accelerates uniformly at 2.0 meters per second² in the direction of its motion for a time of 5.0 seconds. what is the final speed of the object?
Answers
Answer:
6m/s
Explanation:
Key
Vi = 4.0 m/s
A = 2.0 m/s/s
D = 5.0 m
Vf = X or ??
Vf =Vi+2ad
Vf =(4m/s)+ 2(2m/s)(5m)
Vf =16(m/s)+ 20(m/s)
Vf =36(m/s)
Vf =6m/s
Three small masses are positioned as follows: 12.0 kg at (0.0 m, 0.0 m), 8.0 kg at (2.0 m, 0.0 m), and 4.0 kg at (2.0 m, 3.0 m). determine the coordinates of the center of mass (or center of gravity) of this system.
Answers
The coordinates of the center of mass (or center of gravity) of this system at co-ordinate (x,y) = (-3.0 m,-6.0 m), as shown below, so that the center of mass of the 3 mass system is at the origin.
Let Xc and Yc, be the co-ordinates of the center of mass of the system.
Then from the problem statement (that center of mass is at origin), Xc=Yc=0.
Now, Xc can be found by taking moments of all the masses about the y-axis as
Xc= (Sum of moments of all individual masses about the Y-axis)/(Total mass of the system)
Thus, Xc=(3*0+4*x+1*12)/(3+4+1)=(0+4x+12)/8=(4x+12)/8
But Xc=0
Hence, (4x+12)/8=0
or 4x+12=0 => 4x=-12 => x=-3
Similarly, Yc can be found by taking moments of all the masses about the x-axis
Yc=(Sum of moments of all individual masses about the X-axis)/(Total mass of the system)
Thus, Yc=(3*8+4*y+1*0)/(3+4+1)=(24+4y+0)/8
But Yc=0
Hence, (24+4y)/8=0
or 4y+24=0 => 4y=-24 => y=-6
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Which of the following is the basis of the current standard for the meter? The meter is defined as the distance between precise scratch marks on a certain platinum-iridium bar that is kept under specified conditions. The meter is defined as the length of a strand of carbon fiber that consists of a specified number of carbon-12 atoms. The meter is defined as a specified number of wavelengths of the orange-red light emitted by krypton-86. The meter is defined in terms of the standard inch so that 2.54 cm is exactly 1 inch. The meter is defined as the distance that light travels in a specified time interval
Answers
Of the following is the basis of the current standard for the meter the correct statemnt is The current standard for the meter is defined as the distance that light travels in a specified time interval.
The meter is currently defined based on the speed of light in a vacuum. It is defined as the distance traveled by light in 1/299,792,458 of a second. This definition was established by the International Committee for Weights and Measures (CIPM) and is commonly known as the "speed of light in a vacuum" definition. This definition provides a precise and universal standard for the meter, as the speed of light is a fundamental constant of nature. It allows for accurate and consistent measurements of length across different regions and time periods. The other options listed in the question, such as the scratch marks on a platinum-iridium bar, a strand of carbon fiber, wavelengths of light emitted by krypton-86, or the relationship with the inch, are not the current basis for the standard meter. These were historical or alternative methods of defining the meter, but the current standard is based on the speed of light.
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A system consists of electrons, protons, and neutrons . It contains 250 neutrons and 150 protons. If the total charge of the system is -35e, what is the mass of system?
Answers
Answer:
250 - 35e = 215e
150 - 35e = 115e
Explanation:
I did it mentally
List five different ways velocity can change 
Answers
An object can change velocity in a number of ways: it can slow down, it can speed up, or can change direction. A change in speed, a change in direction, or a change in both speed and direction means that the object has a change in velocity.
Five Different ways are:
1. Displacement increases with time uniformly
2. Magnitude of velocity changes.
3. Direction of object changes.
4. Displacement increases with time non-uniformly
5. Both Magnitude and Direction changes
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A toy airplane is flying at an average velocity of 3. 4 m/s by a 660 W engine which applies its force in the direction of the flight. What is the magnitude of the force delivered by the airplane's engine
Answers
Only normal acceleration occurs in a uniform circular motion, and it moves in the direction of the center. Tangential acceleration is equal to zero.
What does circular motion's uniform look like?A particular kind of motion in which an object moves in a circle at a fixed speed is known as uniform circular motion. Any point on a propeller, for instance, that is rotating at a consistent speed is doing uniform circular motion.
What are the features of a circular motion that is constant?Two properties let us recognize a particle moving uniformly in circles: It travels in a circle with a radius of r and moves at a constant speed v. The particle's acceleration is then radially pointed toward the center of the circular path and has a magnitude of v2/r.
The weight of the toy is: m = 1 k g
The circle's diameter is r = 1.5 meters.
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Objects fall near the surface of the earth with a constant downward acceleration of 10 m/s2 . At a certain instant an object is moving upward at 20 m/s. What is its velocity 2 sec later?
Answers
Answer:
After 2 seconds the velocity of the object is 0 m/s.
Explanation:
The velocity at 2 seconds later can be calculated as follows:
\( V_{f} = V_{0} - gt \)
Where:
\(V_{f}\): is the velocity at 2 seconds
\(V_{0}\): is the initial velocity = 20 m/s
g: is the gravity = 10 m/s²
t: is the time = 2 s
Hence, the final velocity is:
\( V_{f} = V_{0} - gt = 20 m/s - 10 m/s^{2}*2 s = 0 m/s \)
This value (0 m/s) means that the object has reached the maximum height.
Therefore, after 2 seconds the velocity of the object is 0 m/s.
I hope it helps you!
True or false organisms only compete with their own species?
Answers
Answer: yes
Explanation:
Animals of different species typically compete with each other only for food, water and shelter. But they often compete with members of their own species for mates and territory as well.
You lift a 22.5 kg bag of trash 2.5 m off of the ground in 2.5 s. You then carry the bag of trash up a flight of stairs that are 10 m tall, in 18s. How much work was done to the bag of trash in total? How much power was required to do all work above?
Answers
The power required to do all the work above is 2756.25 J / 20.5 s = 134.3 W.
To lift the 22.5 kg bag of trash 2.5 m off the ground, you did work against gravity. The work done can be calculated using the formula W = mgh, where m is the mass of the object, g is the acceleration due to gravity (\(9.8 m/s^2\)), and h is the height lifted. Therefore, W = \((22.5 kg)(9.8 m/s^2)(2.5 m)\) = 551.25 J.
To carry the bag of trash up a flight of stairs that are 10 m tall, you did work against gravity as well. The work done can be calculated using the same formula. Therefore, W = \((22.5 kg)(9.8 m/s^2)(10 m)\) = 2205 J.
The total work done on the bag of trash is the sum of the work done to lift it off the ground and the work done to carry it up the stairs. Therefore, the total work done is 2756.25 J.
To calculate the power required to do all the work above, we can use the formula P = W/t, where P is power, W is work done, and t is time.
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Katie claims that steel is a homogeneous mixture even though it looks like a pure substance
Answers
Answer:
C. Steel contains carbon and iron atoms, evenly mixed.
This is because a homogeneous mixture is one where the components are evenly distributed throughout the mixture, and steel is made up of both carbon and iron atoms that are evenly mixed together. Option A is incorrect because steel contains carbon atoms mixed in with the iron atoms. Option B is also incorrect because it suggests that the carbon atoms are clumped together in the steel, which is not true. Option D is also incorrect because it suggests that steel is made up of different compounds that are not evenly distributed throughout the material.
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A sound wave with a wavelength of 0.82 m passes through air, and then it passes through a glass window, where its wavelength changes to 13 m. If the sound wave has a constant frequency of 440 Hz, what is its approximate speed as it passes through the glass? (The equation for wave speed is v= fx 1.)
A. 350 m/s
B. 570 m/s
C. 5,700 m/s
D. 3,500 m/s
Answers
Answer:
D. 5,700 m/s
Explanation:
Sorry for the late reply! I recently just answered this earlier.
Answer: C
Explanation: just took the test
Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
Answers
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
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the video identifies the force pair produced when an apple falls through the air. which force belongs in a free-body diagram of the apple?
Answers
The free-body diagram of an apple falling through the air has weight of the apple pointing downwards and the air-resistance on the apple acting upwards.
When an object falls from up to the ground, the object falls under in the influence of acceleration due to gravity.
The vertical component of the force on the apple as it falls trough the air is given as;
∑Fy = 0
Fₙ - W = 0
Fₙ = W
where;
Fₙ is the frictional force on the apple acting upwardsW is the weight of the apple acting downwardsThe free-body diagram of the apple is represented as follows;
↑ Fₙ
Ο
↓ W
Thus, the free-body diagram of an apple falling through the air has weight of the apple pointing downwards and the air-resistance on the apple acting upwards.
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A student performed an investigation into the refraction of light in a transparent material.
The results are shown below:
The angle of refraction of the refracted ray through the material shown is 32o .
Use this information to calculate the critical angle of the transparent material
Answers
The critical angle of the transparent material is 35.3 degrees.
What is the critical angle?The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:
sin(critical angle) = sin(90 degrees) / sin(angle of refraction)
sin(critical angle) = 1 / sin(32 degrees)
sin(critical angle) = 0.574
critical angle = arcsin(0.574)
critical angle = 35.3 degrees
Therefore, the critical angle of the transparent material is 35.3 degrees.
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Two automobiles of equal mass approach an intersection. One vehicle is traveling with speed v2i toward the east, and the other is traveling north with speed . Neither driver sees the other. The vehicles collide in the intersection and stick together, leaving parallel skid marks at an angle of 55,0 degress north of east. The speed limit for both roads is 35mi/h , and the driver of the northward-moving vehicle claims he was within the speed limit when the collision occurred. Is he telling the truth? Explain your reasoning.
Answers
No, the driver of the northward-moving vehicle was not within the speed limit when the collision occurred.
To determine whether the driver of the northward-moving vehicle was within the speed limit, we need to analyze the collision and the resulting skid marks.
Given that the skid marks left by the collided vehicles are parallel and at an angle of 55.0 degrees north of east, it indicates that the vehicles were not moving directly along the east or north direction. Instead, they were moving at an angle.
If the northward-moving vehicle was within the speed limit of 35 mi/h, its speed would not have been sufficient to result in skid marks at an angle of 55.0 degrees. The collision and the resulting skid marks indicate a significant impact and angular momentum, which would require a higher speed than the speed limit allowed.
Therefore, based on the skid marks and the collision angle, the driver of the northward-moving vehicle was likely exceeding the speed limit when the collision occurred, and his claim of being within the speed limit is not valid.
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