It is estimated that an asteroid or comet impacts the Earth with sufficient energy to cause mass extinction about once every few hundred million years.
Mass extinction is an event in which a rapid and widespread decrease is happening to the biodiversity on Earth. In it, all or at least 75% of the world's species died at a much faster rate than they are replaced in less than 3 million years.
There are several things that can cause a mass extinction event, ranging from anoxia, climate change, and volcanism, human activity, to an impact caused by another celestial body, such as an asteroid or comet. Each cause has its own probability of happening.
It is most likely that the latest mass extinction, the Cretaceous-Paleogene extinction where most of the dinosaurs went extinct, was caused by a meteoric impact. It happened around 66 million years ago.
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Answer these questions correcty first who answers it all correct gets cash
Answer:
I am extremely sorry, but I cannot answer your questions, because there aren't any.
Explanation:
I don't see any questions, or else my eyes are not working properly.
a uniform disk turns 3.3 rev/s around a friction-less central axis. a non-rotating rod, of the same mass as the disk and length equal to the disk's diameter, is dropped onto the freely spinning disk. they turn together around the axis with their centers superposed. what will happen to the angular velocity of the disk-rod combination?
The angular velocity of the disk-rod combination will decrease by a factor of 3/5 when the non-rotating rod is dropped onto the freely spinning disk. This is because the rod increases the moment of inertia of the system, which means that more torque is required to maintain the same angular velocity. As a result, the angular velocity will decrease.
Let ω₁ be the initial angular velocity of the disk and ω₂ be the angular velocity of the disk-rod combination. Let R be the radius of the disk. Let l be the length of the rod.
We can use the conservation of angular momentum to find the final angular velocity of the disk-rod combination.
Initial angular momentum: L₁ = I₁ω₁
Where I₁ is the moment of inertia of the disk.
Let the moment of inertia of the disk be I₁.
The moment of inertia of the disk can be expressed as I₁= ½ MR².
Therefore, L₁ = ½ MR² ω₁
Let the moment of inertia of the disk-rod combination be I₂. After the rod is dropped onto the disk, the two objects turn together around the central axis. Let the final angular velocity of the disk-rod combination be ω₂. The moment of inertia of the disk-rod combination can be expressed as:
I₂ = ½ MR² + 1/3 Ml²
The additional term 1/3 Ml² arises from the moment of inertia of the rod. The length of the rod is equal to the diameter of the disk.
Therefore, l = 2R.
Hence, I₂ = ½ MR² + 1/3 M(2R)²
I₂ = ½ MR² + 4/3 MR²
I₂ = 5/3 MR²
The final angular momentum of the disk-rod combination is L₂ = I₂ω₂
According to the conservation of angular momentum,
L₁ = L₂I₁
ω₁ = I₂ω₂
Substituting the values of I₁, I₂, and ω₁ in the above equation, we get,
½ MR² ω₁ = 5/3 MR² ω₂
ω₂ = 3/5 ω₁
Therefore, the final angular velocity of the disk-rod combination is 3/5 times the initial angular velocity of the disk.
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A car of mass 1500 kg is negotiating a flat circular curve of radius 50 m with a speed of 20 m/s.
a. The source of centripetal force on the car is (1) the weight of the car, (2) the normal force on
the car, or (3) the static friction force.
b. What is the magnitude of the centripetal acceleration of the car?
c. What is the magnitude of the centripetal force on the car?
d. What is the minimum coefficient of static friction between the car and the curve?
I’m
a. The source of centripetal force on the car is (3) the static friction force. b. The magnitude of the centripetal acceleration of the car is 8 m/s².
a. (2) The normal force on the car provides the centripetal force.b. The magnitude of the centripetal acceleration is given by a = v²/r = (20 m/s)² / (50 m) = 8 m/s². c. The magnitude of the centripetal force is given by F = m * a = (1500 kg) * (8 m/s²) = 12,000 N.
d. The minimum coefficient of static friction can be found using the formula μs = (centripetal force / weight) = (12,000 N / 1500 kg * 9.8 m/s²) ≈ 0.82.
a. The centripetal force is the force that keeps an object moving in a circular path. In this case, the normal force on the car provides this force since it acts perpendicular to the surface of the road and inward toward the center of the circle.
b. The centripetal acceleration is given by the formula a = v²/r, where v is the velocity and r is the radius of the circular path. Plugging in the given values, we find a = (20 m/s)² / (50 m) = 8 m/s².
c. The centripetal force is related to the centripetal acceleration by the formula F = m * a, where m is the mass of the car. Substituting the given values, we get F = (1500 kg) * (8 m/s²) = 12,000 N.
d. The minimum coefficient of static friction can be determined by equating the centripetal force to the maximum static friction force. The formula for static friction is given by Ff ≤ μs * N, where Ff is the frictional force, N is the normal force, and μs is the coefficient of static friction. Rearranging the equation, we have μs ≥ (Ff / N). Since the centripetal force is the maximum static friction force, we can substitute the values to find μs = (12,000 N / (1500 kg * 9.8 m/s²)) ≈ 0.82.
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You are playing tennis and return a volley. Identify a force pair.
During a tennis volley, the force pair involved is the action-reaction forces.
When playing tennis and returning a volley, the force pair involved is the action and reaction forces. In the process of hitting the ball, the tennis racket exerts a force on the ball, which is the action force.
The ball, in turn, exerts an equal and opposite force on the racket, which is the reaction force.Both the racket and the ball experience the force of impact during the volley.
The force applied by the racket causes the ball to move forward, while the equal and opposite force applied by the ball pushes the racket back.
These two forces are referred to as action-reaction forces or force pairs. A force pair refers to a pair of forces that are equal in magnitude but opposite in direction.
These forces always act on different objects and occur simultaneously. In this scenario, the action force was exerted by the tennis racket while the reaction force was exerted by the ball.
Therefore, during a tennis volley, the force pair involved is the action-reaction forces.
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A) Give three properties of a good solvent for UV-Vis applications.
B) Why should acetone not be used to rinse quartz UV cells?
Three properties of a good solvent for UV-Vis applications include:
Transparency: A good solvent should be transparent in the UV-Vis wavelength range to allow accurate measurements without interfering absorbance signals.
Chemical Inertness: The solvent should be chemically inert to prevent any reactions or interactions with the analyte or the solvent itself, ensuring that the measured absorbance is solely due to the analyte of interest.
Low UV-Vis Absorbance: The solvent should have low absorbance in the UV-Vis range to minimize background noise and interference with the analyte's absorbance signal.
Acetone should not be used to rinse quartz UV cells due to the following reasons:
Absorbance Interference: Acetone exhibits absorbance in the UV-Vis range, particularly in the near-UV region. This absorbance can overlap with the desired analyte's absorbance, leading to inaccurate measurements or interference with the analyte's signal.
Chemical Reactivity: Acetone can react with certain substances, including some organic compounds or residues, which may be present in the UV cell. This can introduce artifacts or unwanted reactions that affect subsequent measurements.
Etching Potential: Acetone has the potential to etch or damage quartz material, as quartz is susceptible to attack by some organic solvents. This can compromise the integrity and accuracy of the UV cell.
Therefore, it is recommended to use solvents that are transparent in the UV-Vis range, chemically inert, and have low UV-Vis absorbance for rinsing quartz UV cells to ensure accurate and reliable measurements.
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are unicorns real or not
Answer:
no lol
Explanation:
A particle travels along a straight-line path y 0.5x. If the x component of the particle's velocity is vr= (2) m/s, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when = 4 s. y =0.5x Prob. F12-18 F12-19. A particle is traveling along the parabolic path y 0.25x. If x 8 m. , 8 m/s, and a, 4 m/s2 when 2 s. determine the magnitude of the particle's velocity and acceleration at this instant.
The magnitude of the particle's velocity is |v| = √(8^2 + 2^2) = √68 ≈ 8.25 m/s. The magnitude of acceleration remains 4 m/s² as it's given in the problem.
For the first question, we know that the x component of the particle's velocity is vr= (2) m/s, and we can find the y component by differentiating the equation y =0.5x with respect to time. We get dy/dt = 0.5dx/dt, so dy/dt = (0.5)(2) = 1 m/s. Therefore, the magnitude of the particle's velocity at t=4s is sqrt((vr)^2 + (vy)^2) = sqrt((2)^2 + (1)^2) = sqrt(5) m/s. To find the acceleration, we differentiate the velocity equation with respect to time, a = d(v)/dt = d(sqrt((vr)^2 + (vy)^2))/dt = (vr)(0) + (vy)(1/ sqrt((vr)^2 + (vy)^2))) = (1/sqrt(5)) m/s^2.
For the second question, we can use the same method to find the B of the velocity at t=2s. dy/dt = (0.25)(8) = 2 m/s. Therefore, the magnitude of the particle's velocity at t=2s is sqrt((8)^2 + (2)^2) = sqrt(68) m/s. To find the acceleration, we use the given value of a=4 m/s^2 and differentiate the velocity equation with respect to time, a = d(v)/dt = d(sqrt((vx)^2 + (vy)^2))/dt = (vx)(0) + (vy)(1/ sqrt((vx)^2 + (vy)^2))) = (2/sqrt(17)) m/s^2.
At t = 4s, the x-component of the particle's velocity is v_x = 2(4) = 8 m/s. Since the particle travels along y = 0.5x, its y-component of velocity is v_y = 0.5v_x = 0.5(8) = 4 m/s. The magnitude of the particle's velocity is found using the Pythagorean theorem: |v| = √(v_x^2 + v_y^2) = √(8^2 + 4^2) = √80 = 4√5 m/s.
For the second scenario, at t = 2s, the particle's velocity is 8 m/s and acceleration is 4 m/s². Since the particle travels along y = 0.25x, its y-component of velocity is v_y = 0.25v_x = 0.25(8) = 2 m/s.
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Two astronomers are looking at different supernovae. Supernova Alpha is 8 thousandlight years away. Supernova Charlie is 142 million light years away. Using this infoboth scientist agree thatA. Supernova Charlie is bigger than Supernova AlphaB. Supernova Charlie is more explosive than Supernova Alpha.C. Supernova Charlie formed before Supernova Alpha
What is the best type of study to determine if daily reading with a parent can increase the speed at which a child learns to read independently
Given what we know, we can confirm that the best type of study to determine if daily reading with a parent can increase the speed at which a child learns to read independently is an experimental study.
How do we perform an experimental study?First, one must design an experiment, in this case, it can be to allow the child to read alone for a week, then measure reading speed. Then repeat this while reading with a parent and measure the speed again. After 2 weeks, compare the results.
Therefore, with an experimental study, one can test the reading speed of the child and determine if it increases when reading with a parent.
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n moles of an ideal diatomic gas with internal energy E = =nRT are taken through the cyclic process shown on the P-V diagram where P1=2P3 and V2=2V3. V2 a) What are the values of work W, change in internal energy AEint, and heat transfer Q in process 1-2? Express your answers in terms of P3 and V3. b) What are the values of work W, change in internal energy AEint, and heat transfer Q in process 2-3? Express your answers in terms of P3 and V3. c) What are the values of work W, change in internal energy AEint, and heat transfer Q in process 3-1? Express your answers in terms of P3 and V3. d) Calculate the efficiency of the cycle.
a. Therefore, we have: ΔEint = 2P3(V1 - 2V3).
b. Q = ΔEint = (4/5)nCv(T2 - T3) = (4/5)nR(T2 - T3).
c. Therefore, we have: ΔT = T1 - T3 = (P1V1 - P3V3)/nR = (2P3V1 - P3V3)/nR = P3(V1 - V3)/nR and Q = ΔEint + W = nCv(T1 - T3) + 2P3(V1 - V3)
d. In step two of the process, the diatomic gas expands isobarically from volume V1 to volume V2, then cools isochronally from V2 to V3.
a. The work done in process 1-2 is given by:
W = P1(V2 - V1)
Since P1 = 2P3 and V2 = 2V3, we have:
W = 2P3(2V3 - V1)
The change in internal energy in process 1-2 is given by:
ΔEint = Q - W
Q = P1(V2 - V1) = 2P3(2V3 - V1)
b) In process 2-3, the gas is undergoing an isochoric heating from volume V3 to volume V2, followed by an isobaric compression from volume V2 to volume V1.
The work done in process 2-3 is zero since the volume is constant.
The change in internal energy in process 2-3 is given by:
ΔEint = Q - W
Since the process is isochoric, the heat transfer Q is given by:
Q = ΔEint = nCvΔT = nCv(T2 - T3)
PV = nRT
For a diatomic gas, we have:
Cv = (5/2)R/2 = (5/4)R
Substituting for P and V, we have:
Cv(T2 - T3) = (5/4)nR(T2 - T3) = (5/4)ΔEint
Therefore, we have:
Q = ΔEint = (4/5)nCv(T2 - T3) = (4/5)nR(T2 - T3)
c) In process 3-1, the gas is undergoing an isobaric compression from volume V3 to volume V1, followed by an isochoric heating from volume V1 to volume V2.
The work done in process 3-1 is given by:
W = P1(V1 - V3) = 2P3(V1 - V3)
The change in internal energy in process 3-1 is given by:
ΔEint = Q - W
Process is isochoric, the heat transfer Q is given by:
Q = ΔEint = nCvΔT = nCv(T1 - T3)
ΔT = T1 - T3
From the ideal gas law, we have:
PV = nRT
Substituting for P and V, we have:
T = PV/nR
Therefore, we have:
ΔT = T1 - T3 = (P1V1 - P3V3)/nR = (2P3V1 - P3V3)/nR = P3(V1 - V3)/nR
Q = ΔEint + W = nCv(T1 - T3) + 2P3(V1 - V3)
d) The efficiency of the cycle is given by:
η = (Wnet / QH) x 100%
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what can occur when a wave passes from one medium into another?
Answer: Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light The wavelength decreases as the light enters the medium and the light wave changes direction.
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what does a roller coaster have to do with science and energy transformation?
Answer:
Explanation: Roller coasters are an excellent example of how science and energy transformation can be used to create an exciting and thrilling experience for riders. The design of roller coasters utilizes the principles of physics to create the twists, turns, and drops that riders experience.
One of the key scientific concepts used in roller coaster design is energy transformation. Roller coasters start with potential energy, which is the energy stored in an object due to its position or state. The potential energy in a roller coaster comes from the height it is lifted to at the start of the ride. As the roller coaster begins its descent, the potential energy is transformed into kinetic energy, which is the energy of motion.
During the ride, the roller coaster's energy is constantly being transformed from potential energy to kinetic energy and back again. As the roller coaster climbs a hill, it gains potential energy, which is then transformed into kinetic energy as it speeds down the hill. When the coaster reaches the bottom of a hill or a loop, it has the maximum kinetic energy, which is then transformed back into potential energy as the coaster climbs the next hill.
In addition to energy transformation, roller coasters also rely on other scientific principles, such as friction, gravity, and centripetal force, to create a thrilling ride. For example, the coaster's wheels and track are designed to minimize friction, which allows the coaster to travel faster and more smoothly. The coaster's drops and turns use gravity and centripetal force to create the feeling of weightlessness and acceleration.
Overall, roller coasters are an excellent example of how science and engineering can be used to create thrilling experiences that rely on principles of energy transformation and other scientific concepts.
I hope this helped
please help, i will mark brainliest.
The valid combinations are:
a) 5, 12, and 4b) 7, 7, and 7Total resistance for a circuit in series is R_T = R1 + R2 + R3 + ...
How to determine combinations and total resistance?Question 1
To determine the valid combinations of resistors for a circuit with a total resistance of 21, find combinations where the sum of the individual resistances equals 21. Analyze each option:
5, 12, and 4:
Total resistance = 5 + 12 + 4 = 21 (Valid combination)
7, 7, and 7:
Total resistance = 7 + 7 + 7 = 21 (Valid combination)
3, 3, and 3:
Total resistance = 3 + 3 + 3 = 9 (Invalid combination)
5, 5, and 5:
Total resistance = 5 + 5 + 5 = 15 (Invalid combination)
Therefore, the valid combinations are:
5, 12, and 4
7, 7, and 7
Question 2:
Regarding the second question, the equation that calculates the total resistance for a circuit in series is:
R_T = R1 + R2 + R3 + ...
So, the correct option is:
R_T = R1 + R2 + R3 + ...
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at point a, 3.20 m from a small source of sound that is emitting uniformly in all directions, the intensity level is 60.0 db
At point a, the intensity level of the sound emitted uniformly in all directions from a small source of sound is 60.0 db, and the distance from the source is 3.20 m.
The intensity level of sound is a measure of the power of the sound waves per unit area, and it is measured in decibels (db). The intensity level of sound decreases with distance from the source due to the spreading of sound waves in all directions. In this case, the sound source is emitting sound waves uniformly in all directions, so the intensity level at point a is the same as the average intensity level at all points that are 3.20 m from the source. The intensity level of sound is related to the distance from the source by the inverse-square law, which states that the intensity of sound waves decreases with the square of the distance from the source.
In other words, if the distance from the source is doubled, the intensity level decreases by a factor of four. Therefore, if we move twice as far away from the source, the intensity level will be reduced by 6 db (since 6 db is approximately the difference in intensity level between two points that differ by a factor of two in distance).To find the intensity of the sound at point A, which is 3.20 meters away from the source and has an intensity level of 60.0 dB, we first need to use the decibel formula.
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Is it possible for an object to change its weight without changing its mass? Explain why or why not
Answer:
yes
Explanation:
weight depends on the strength of gravity, so on a different planet, or on the moon for example, things would have a different weight but have the same mass.
You push really hard against a round rock, but you cannot make it roll. Which statement best explains why you cannot move the rock
(A)Gravity pulls the rock toward the center of Earth.
(B)The forces between you and the rock are balanced.
(C)The force of your push is greater than the opposing force.
(D)There is no friction to help you move the object.
Answer:
(A) Gravity pulls the rock toward the center of the Earth.
Explanation:
What is created when a solute and solvent combine?
A.compound
B.element
C.solution
D.molecule
Answer:
a compound
Explanation:
a compound
hope this helps
got the ans thanks neede coz i had doubt but got clarified
Answer:
i. 170 m
ii. 850 m
Explanation:
Question
Arjun and his son Arav were standing ‘x’ m away from each other. They are equidistant (Y m) from a vertical cliff. Arjun burst a balloon and Arav heard the direct sound 0.5 seconds later and the echo after 2 seconds. If the speed of sound in air is 340m/s ,calculate
i. the distance between Arjun and Arav
ii. the distance between the cliff and Arjun
The parameters given are;
The time for the sound to reach Arav, \(t_D\) = 0.5 s
Time for the echo to echo to reach Arav, \(t_E\) = 2 s
The distance between Arjun and Arav = \(D_D\)
The distance between Arav and the cliff = \(D_E\)
The speed of sound in air, s = 340 m/s
The formula for speed, s, is \(s = \dfrac{Distance, D}{Time, t}\), therefore;
\(s = \dfrac{D_D}{t_D} = \dfrac{D_D}{0.5} = 340\)
\(D_D\) = 0.5 s × 340 m/s = 170 m
The distance between Arjun and Arav = 170 m
ii. Since Arav hears the direct sound before the echo, he is closer to the cliff than Arjun, therefore, we have;
\(s = \dfrac{D_E}{t_E} = \dfrac{D_E}{2} = 340\)
\(D_E\) = 2 s × 340 m/s = 680 m
Therefore, the distance between Arav and the cliff = 680 m
Which gives the distance between the cliff and Arjun, \(D_{cliff}\) = The distance between Arav and the cliff + The distance between Arjun and Arav
\(D_{cliff}\) = 680 + 170 = 850 m.
How quickly would a 60kg object accelerate if the person applied a 500N force?
Answer:
8.33 m/s^2
Explanation:
The equation for force is Force = mass * acceleration. The force is 500 N, and the mass is 60 kg, so substituting those into the equation you get that 500 = 60 * acceleration. Divide 500 by 60 to get the acceleration, which is 8.33 m/s^2.
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A converging lens with a diameter of 49.8 cm
forms an image of a satellite passing overhead.
The satellite has two green lights (wavelength
508 nm) spaced 1.1 m apart.
If the lights can just be resolved according
to the Rayleigh criterion, what is the altitude
of the satellite?
Answer in units of km.
The altitude of the satellite is 883.89 km
What is the altitude?Generally, The Rayleigh criterion for resolution states that the minimum angle, θ, between two point sources that can be resolved is given by:
θ = 1.22 * λ / D
where
λ is the wavelength of light and
D is the diameter of the lens.
The minimum distance, d, between two point sources that can be resolved is given by:
d = θ * L
where
L is the distance from the lens to the image.
Given the green lights have a wavelength of 508 nm, we can convert it to meters:
λ = 508 * 10^-9 m
Given the diameter of the lens is 49.8 cm, we can convert it to meters:
D = 49.8 cm * (1 m / 100 cm)
= 0.498 m
Using the Rayleigh criterion, we can find the minimum resolvable angle:
θ = 1.22 * λ / D
= 1.22 * 508 * 10^-9 / 0.498
= 1.24449799*10^{-6} radians
We know the lights on the satellite are spaced 1.1 m apart, so:
d = 1.1 m
Solving for the distance from the lens to the image, L:
L = d / θ
= 1.1 m / 1.24449799*10^{-6} radians
=883890.53 m
Finally, converting the distance to kilometers:
L = 883890.53 m * (1 km / 1000 m)
= 883.89 km
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when you change altitude, or go deep underwater, the change in air pressure may cause tension and discomfort in this membrane. is called?
When you change altitude, or go deep underwater, the change in air pressure may cause tension and discomfort in the eardrum membrane.
What is the eardrum membrane?The eardrum membrane, also known as the tympanic membrane, is a thin, translucent, and circular layer of tissue. It is situated in the ear canal, and it divides the outer and middle ear. The eardrum vibrates in response to sound waves, causing the auditory ossicles in the middle ear to move.
The eardrum is composed of three layers of tissue. The outer layer is made up of skin cells, the middle layer is made up of fibrous tissue, and the inner layer is made up of mucus-secreting cells. The eardrum is one of the body's most sensitive organs because it is so thin, measuring only 0.1 millimeters thick. Because of its susceptibility to pressure, it can be easily harmed by changes in air pressure caused by loud noises, diving, or flying in an airplane.
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A wheel initially rotating at 63 rpm
experience the angular acceleration hown in the figure. (Figure 1)
The angular velocity is 31.14 rad/s
The full question:
A wheel initially rotating at 61 rpm experiences the angular acceleration shown in figure 1. What is the wheel's angular velocity in rpm at T = 3.0 s?
This calculation is
ωi= 61 rpm × 2πrad/revolution × 1minute/60sec= 6.38 rad/s
The area between the graph and the time axis is the area of a triangle, 1/2(bh).
This gives us:
½ × (2) (4) =4 rad/s
This is the change in velocity of the wheel.
Area ω= ωf- ω.i
4= ωf -6.38
ωf = 10.38 rad/s
in 3 second = ωf will be 31.14 rad/s
ABOUT ANGULAR VELOCITYAngular Velocity is the speed at which an object or particle rotates around a certain center or point in a certain period of time. This is also known as rotational speed.
Angular Velocity is measured in angles per unit time or radians per second (rad/s). The rate of change of angular velocity is the angular acceleration. Let's study in more detail about the relationship between angular velocity and linear velocity, angular displacement and angular acceleration.
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a ray passes from air into the surface of a lucite block at an angle with the lucite surface of 48.5°. what is the angle of refraction?
When a ray of light passes from one medium to another, it changes direction due to a change in speed. This phenomenon is known as refraction. The angle of refraction can be determined using Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media.
In this case, the angle of incidence is 48.5 degrees. Assuming the index of refraction of air is 1, the index of refraction of lucite can be found in a table or by using a refractometer. Let's assume it is 1.5. Using Snell's law, we can calculate the angle of refraction to be approximately 32.9 degrees. Therefore, when a ray of light passes from air into the surface of a lucite block at an angle of 48.5 degrees, the angle of refraction is approximately 32.9 degrees.
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Part B
What trend do you observe in the Total Energy column at all the positions?
What is the temperature shown on the thermometer below?
A. 8 °F
B. 4 °F
C. –4 °F
D. –8 °F
Answer:
D, -8 F
Explanation:
This specific thermometer is in increments of two degrees per minor line and 10 per thicker line. Since the thermometer is showing below zero, the answer cannot be A or B since they are positive. -4 Cannot be the answer since the line addition does not make sense for that. It would be -4 if the thick line increments were 5 degrees instead of ten. Therefore if you count the lines by two from zero down to the thermometer line, you would get -8 Degrees F
Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the coronary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary artery has a diameter of 2.0 mmmm.
To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?
The artery must be expanded to a diameter of approximately 0.8944 mm to increase the blood flow by a factor of 5.0 with no change in pressure.
To increase the blood flow by a factor of 5.0 with no change in pressure, we can use the principle of continuity equation in fluid dynamics.
The continuity equation states that the product of cross-sectional area and velocity of fluid flow is constant, assuming an incompressible fluid and steady flow. In this case, the blood flow rate remains constant.
Mathematically, we can express the continuity equation as:
A1 * V1 = A2 * V2
where A1 and A2 are the initial and final cross-sectional areas, and V1 and V2 are the initial and final velocities of blood flow, respectively.
Since the blood flow rate remains constant, we can write V1 = V2.
Let's assume the initial diameter of the artery is D1 and the final diameter after expansion is D2. The cross-sectional area of a circular artery is given by the formula:
A = π * (D^2) / 4
Using the continuity equation, we can rewrite it as:
(D1^2) / 4 * V1 = (D2^2) / 4 * V2
Since V1 = V2, we can simplify the equation to:
(D1^2) = (D2^2) * 5
Taking the square root of both sides, we have:
D1 = D2 * sqrt(5)
Substituting the given initial diameter D1 = 2.0 mm, we can calculate the final diameter D2 as:
D2 = D1 / sqrt(5)
= 2.0 mm / sqrt(5)
≈ 0.8944 mm
Therefore, the artery must be expanded to a diameter of approximately 0.8944 mm to increase the blood flow by a factor of 5.0 with no change in pressure.
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Please someone answer this quickly!! I'll give 20 points for it, I just need the answers :)
The potential energy of the person mass 95 Kg sitting on top of a slid 3 m high is 2795.85 J
How do i determine the potential energy of the person?The following data were obtained from the question:
Mass of person (m) = 95 KgHeight of slid (h) = 3 mAcceleration due to gravity (g) = 9.81 m/s² Potential energy of person (PE) = ?The potential energy of the person can be obtained as follow:
PE = mgh
Inputting the given parameters, we have:
= 95 × 9.81 × 3
= 2795.85 J
Thus, the potential energy of the person is 2795.85 J
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You push on a car and it doesn't move. What is true about inertia in this case?
a) The inertia is changing
b) The inertia of the car is too great
c) the inertia of the person is equal to the car
d) There is no inertia because there isn't any movement
Answer:
the answer is D
Explanation:
inertia is movement
Which of the following is a subatomic particle?
Particle
Atom
Neutron
Element
Answer:
neutron.
Explanation:
subatomic particles include,
neutron.
proton.
electron.
hope it helps. :)
A person ran with a speed of 6 m/s onto the skateboard .What is the speed with which he ride on the skate board
Answer:
First, remember the conservation of energy.
We can define the kinetic energy as:
K = (1/2)*m*v^2
where m is the mass, and v is the velocity.
The velocity of the person is 6m/s, and the mass is unknown.
Now, when the person rides the skateboard, this kinetic energy must remain constant, if M is the mass of the skateboard, the speed after the person rides ir will be:
K' = (1/2)*(m + M)*v'^2
Where v' is the new velocity.
In this case, we can suppose that the skateboard has really small mass compared with the person.
M < < m
then:
(m + M) ≈ m
then:
K' = (1/2)*m*v'^2 = K = (1/2)*m*v^2
from that equation, we can conclude that:
v' = v
Then if the velocity before riding the skateboard was 6m/s, then after would be also 6m/s.