the maximum height to which the object will rise is (1/2) v^2 / g, where v is the initial velocity of the object and g is the acceleration due to gravity.
If we assume that there is no air resistance or friction, we can use conservation of energy to find the maximum height h_max to which the object will rise.
At the maximum height, the object has no kinetic energy, so all of its initial energy is converted into potential energy:
1/2 mv^2 = mgh_max
where m is the mass of the object, v is its initial velocity, g is the acceleration due to gravity, and h_max is the maximum height to which the object will rise.
Solving for h_max, we get:
h_max = (1/2) v^2 / g
Therefore, the maximum height to which the object will rise is (1/2) v^2 / g, where v is the initial velocity of the object and g is the acceleration due to gravity.
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A 60-kg and a 90-kg skydiver jump from an airplane at an altitude of 6000 m, both falling in the pike position. Make some assumption on their frontal areas and calculate their terminal velocities. How long will it take for each skydiver to reach the ground (assuming the time to reach terminal velocity is small)
The velocity for mass of 60 kg is 99.6 m/s and for mass of 90 kg is 122 m/s.
What does science mean by speed?The displacement that an object or particle experiences concerning respect to time are expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
What is speed and what is its SI equivalent?The pace at which a body's distance changes about time is referred to as its velocity. Its SI equivalent is m/s.
Given:-
Mass (m1) = 60kg
Mass (m2) = 90kg
Assumption:
ρ(air) = 1.21 kg/m^3
Pike position so assume A = 0.14 m^2
Pike position so assume C = 0.7
The terminal velocity \(V_T= \sqrt{\frac{2mg}{ρ(air)*C*A} }\)
For 60kg,
\(V_T= \sqrt{\frac{2*60*9.80}{1.12*0.7*0.14} }\)
\(V_T=99.6m/s\)
For 90kg,
\(V_T= \sqrt{\frac{2*90*9.80}{1.12*0.7*0.14} }\)
\(V_T=122m/s\)
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Help: The diagram below illustrates a light ray bouncing off a surface. Fill in the boxes with the correct terms.
The correct terms that fills the box are;
(i) The incident ray
(ii) The normal
(iii) The reflected ray
(iv) The angle of incident
(v) The reflected angle
What is the terms of the ray diagram?The terms of the ray diagram is illustrated as follows;
(i) This arrow indicates the incident ray, which is known as the incoming ray.
(ii) This arrow indicates the normal, a perpendicular line to the plane of incidence.
(iii) This arrow indicates the reflected ray; the out going arrow.
(iv) This the angle of incident or incident angle.
(v) This is the reflected angle or angle of reflection.
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What is the ultimate fate of an isolated white dwarf?.
Answer:
It will cool down and become a cold black dwarf.
Explanation:
The electron degeneracy pressure slowly overwhelms gravity, and the white dwarf evaporates. As gravity overwhelms the electron degeneracy pressure, it will explode as a nova.
(c) Another spring has a spring constant of 250 N/m.
Calculate the work done in stretching the spring by 0.30 m.
State the unit.
Use the equation
E = 12 x K x x2
State government approves a series of grants to fund job training. Which of the following is a negative externality? (5 points
Businesses would not necessarily increase hiring rates.
Economic recession would result in a backlog of applicants.
Money for conservation efforts would be eliminated.
The state would have to provide child care for parents in training.
None of the options listed is a negative externality. A negative externality is an unintended consequence of an economic activity that affects a third party who is not directly involved in the activity.
If I were to choose: Businesses would not necessarily increase hiring rates.
This could be considered a negative externality because the grant funding is intended to fund job training in order to increase employment opportunities, but if businesses do not increase their hiring rates despite having a pool of trained workers, then the intended benefit of the grant may not be fully realized. This could result in a loss of resources and a missed opportunity to address unemployment in the community.
How do movement skills in square dancing transfer to ballroom dancing?
Answer:
Movement skills in square dancing transfer to ballroom dancing when they both require you to dance in a rhyme.
Explanation:
2. Jeremy throws a discus at the track and field competition. He throws it with an upward speed of 10
m/s and a horizontal speed of 35 m/s. Calculate how far Jeremy throws the discus. (Hint: figure out
the time of the throw first).
Answer:
gburhgjn
Explanation:
hrbvufv
ANSWER ASAPPP
What type of mountain would form from vertical movements along fault lines?
A) volcano
B) dome
C) fault-block
D) folded
C) fault-block mountain
Highlight the transformation of Polaroid in recent years
The transformation of Polaroid in recent years has been characterized by a shift from analog instant photography to embracing digital technologies and modernizing its product offerings. This transformation has allowed Polaroid to adapt to the changing market and cater to the needs and preferences of today's consumers.
In recent years, Polaroid has introduced a range of digital instant cameras that combine the nostalgic appeal of instant photography with the convenience and versatility of digital imaging. These cameras typically feature built-in printers that produce instant prints, capturing the essence of Polaroid's iconic instant photography experience. Additionally, Polaroid has embraced the smartphone era by developing products like the Polaroid Lab, which allows users to turn digital photos from their smartphones into classic Polaroid-style prints.
Furthermore, Polaroid has expanded its product lineup to include various accessories, such as portable printers and film formats compatible with both analog and digital devices. By embracing digital technologies while staying true to its instant photography heritage, Polaroid has successfully repositioned itself in the market, appealing to a new generation of photography enthusiasts seeking a blend of nostalgia and modern functionality.
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at what height h above its center g should a billiard ball of radius r be struck horizontally by a cue if the ball is to start rolling without sliding?
When a billiard ball is struck horizontally by a cue, it experiences a force that causes it to move forward. However, if the force is too great, the ball will slide instead of rolling. To prevent this, the cue must strike the ball at a specific height above its center of gravity.
To determine this height, we need to consider the forces acting on the ball. When the ball is struck, it experiences both translational and rotational motion. The translational motion causes the ball to move forward, while the rotational motion causes it to roll. The key is to find the point at which the force applied by the cue causes the ball to begin rolling without sliding.
This point is known as the "rolling point" and is located at a height above the center of gravity that is equal to 7/5 times the radius of the ball. So, if the ball has a radius of r, the cue should strike the ball at a height of h = 7/5r above its center of gravity. This will ensure that the ball starts rolling without sliding.
In summary, the billiard ball should be struck horizontally by a cue at a height of 7/5 times its radius above its center of gravity to start rolling without sliding.
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The longer the time between the arrival of the P-wave and S-wave, the _______ is the epicenter.
deeper
farther away
shallower
closer
The longer the time between the arrival of the P-wave and S-wave, the farther away is the epicenter.
What is epicenter and the relation between P-wave and S-wave?The point on the earth's surface vertically above the hypocenter (or focus), point in the crust where a seismic rupture begins is said to be epicenter.There are two types of waves during earthquakes, they are:P - waveS - wave Each seismograph records the times when the first (P waves) and second (S waves) seismic waves arrive. From the graph, through the information, scientists can determine how fast the waves are traveling.The longer the time between the arrival of the P-wave and S-wave, the farther away is the epicenter.Hence, Option B is the correct answer.
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a 35g ball is lifted up from 1.0m to 3.0m. How much work is done?
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Work And Energy.
So we here use the formula as,
W= Mgh
so after solving we get as,
W = 0.686 Joules
Audent se when the stone me themelo CD The student semblance theo of the a) 2 shows the rings to them and 52.00 450 Mao Mass of Flo.2.1 Record the mass shown by the balance in Table 21 Table 2.1 object mas volumelom density in g/cm A 131 25 10.1
Answer:huh
Explanation:
How will this surfboard’s streamlined shape affect its speed?
The tail shape of a surfboard greatly affected the board's interaction with the wave's face and the flowing of water flowing.
How does a shape of a surfboard affected?The tail shape of a surfboard affects how the board depends on the wave's face, and the water flowing between it. More comprehensive, thicker tail shapes have more surface area and assist the board to float and create lift - allowing the surfboard to plane over the surface of the water more efficiently.
The shape of both the surfboard and its fin swap the way the water moves around it if you can grab a wave as well as the turning ability of the surfboard.
So we can conclude that Surfboard bottom outlines are also essential. Concave and V-shaped contours have similar performances, for all opposite designs.
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Each of the following is a factor that determines radiation injury EXCEPT one. Which one is the EXCEPTION?a. Size of the irradiated areab. Amount of radiationc. Patient genderd. Dose rate
The factor that determines radiation injury EXCEPT one is c. patient gender.
Factors that determine radiation injuryRadiation injury occurs when a person is exposed to high levels of ionizing radiation. The size of the irradiated area, the amount of radiation, and the dose rate are all factors that determine radiation injury, but patient gender is not. While patient gender may play a role in other aspects of healthcare, it does not determine the amount of radiation injury a person may experience. Therefore, the correct answer is c. Patient gender.
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11.5 A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function y(t) = 0.12 - 6.75 135-11202 +3200r where y and t are expressed in feet and hours, respectively. During the 18-hour hike, determine (a) the maximum altitude that the hikers reach, (b) the total feet they ascend, (c) the total feet they descend. Hint: You will need to use a calculator or computer to solve for the roots of a fourth-order polynomial. 9070, 62 + 11.6 The motion of a particle is defined by the relation x 9t 5, where x is expressed in feet and t in seconds. Determine (a) when the velocity is zero, (b) the position, acceleration, and total distance traveled when t 5 s
(a) To determine the maximum altitude reached by the hikers, we need to find the maximum value of the function y(t). By analyzing the given function, we can see that the maximum altitude occurs at the highest point of the curve.
To find this point, we can take the derivative of y(t) with respect to t and set it equal to zero. Solving this equation will give us the value of t at which the maximum altitude is reached. Substituting this value back into the original function will give us the maximum altitude.
(b) To calculate the total feet ascended by the hikers, we need to find the area under the curve of the function y(t) over the time interval of the hike. This can be done by integrating y(t) with respect to t over the given interval.
(c) Similarly, to calculate the total feet descended by the hikers, we need to find the area under the curve of the function y(t) below the x-axis over the time interval of the hike. This can be achieved by integrating the absolute value of y(t) with respect to t over the given interval.
For the second part of the question:
(a) To determine when the velocity is zero, we need to find the time(s) at which the derivative of the position function x(t) is equal to zero.
(b) The position at t=5s can be found by substituting t=5 into the position function x(t). The acceleration can be found by taking the second derivative of x(t) with respect to t. The total distance traveled can be calculated by finding the definite integral of the absolute value of the velocity function from t=0 to t=5.
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The velocity – time graph of an object moving along a straight line is shown in
fig. Find (a) the distance covered and (b) the displacement of the object in time
interval between t = 0 s and t = 10 s
(a) The distance travelled by the object is 100 m.
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.
What is the distance covered by the object?(a) The distance travelled by the object is calculated from the total area of the curve.
total distance = area of triangle 1 + area of triangle 2 + area of rectangle.
total distance = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
total distance = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)
total distance = 60 m + 20 m + 20 m
total distance = 100 m
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;
displacement = final position - initial position
displacement = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
displacement = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)
displacement = 60 m - 20 m + 20 m = 60 m
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The distance from Abdullah's house to his school is 2.4km. Abdulla takes 0.6h to go to school on his cycle but takes only 0.4h to return home. His average speed is
Answer:
The average speed can be calculated as the quotient between the distance travelled and the time needed to travel that distance.
To go to the school, he travels 2.4 km in 0.6 hours, then here the average speed is:
s = (2.4km)/(0.6 hours) = 4 km/h
To return to his home, he travels 2.4km again, this time in only 0.4 hours, then here the average speed is:
s' = (2.4 km)/(0.4 hours) = 6 km/h.
Now, if we want the total average speed (of going and returning) we have that the total distance traveled is two times the distance between his home and school, and the total time is 0.6 hours plus 0.4 hours, then the average speed is:
S = (2*2.4 km)/(0.6 hours + 0.4 hours)
S = (4.8km)/(1 h) = 4.8 km/h
Hebb's rule are based on associative laws of ____ and ____.
a. _____ contiguity; cause and effect
b. _____ cause and effect; frequency
c. __X___ frequency; contiguity
d. _____ cause; effect
Hebb's rule is based on the associative laws of frequency and contiguity.
Hebb's rule is the based on the frequency and contiguity associative principles. This means that the stronger the link between two neurons gets the more frequently they are triggered together and the closer in time their activations occur.
This is because, according to Hebb's rule, "cells that fire together wire together," which means that synapses connecting neurons that are the active at the same moment become stronger over time.
This process is the assumed to be at the root of many types of learning and memory in the brain.
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1.14 Chapter 1 32. Three cylindrical flasks A, B and C of diameter 50 mm, 75 mm and 100 mm, respectively have gradua- tion marked in mm and are used for measurement of volume of liquid. Which of the following statements is correct? (a) A is more accurate than B and C (b) C has better least count than B (c) The least counts of all three are the same. (d) B has better least count than A.
For three cylindrical flasks A, B and C of diameter 50 mm, 75 mm and 100 mm, the statement is (c). The least count of all three are the same.
What makes the least count?The least count of a measuring instrument is the smallest change in the quantity being measured that can be detected by the instrument. In this case, the quantity being measured is the volume of liquid. The least count of a cylindrical flask is the volume of liquid that corresponds to the smallest graduation on the flask.
The least count of a cylindrical flask is independent of the diameter of the flask. This is because the volume of liquid that corresponds to the smallest graduation on the flask is proportional to the square of the diameter of the flask. Therefore, the least count of a cylindrical flask is the same for all flasks, regardless of their diameter.
Therefore, the least count of all three flasks A, B, and C are the same.
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the radius of the sun is 696,000km. if its period is 587.28 hours, what is its tangential velocity at the equator? (
The tangential velocity of the sun at the equator is, 2370.25π km/hr.
Tangential velocity is the linear component of the speed of any object which is moving along a circular path. A point on the outside edge of a turntable moves a greater distance in one complete rotation than a point near to the center.
The equation for velocity is v = ΔxΔt. Using the circumference of the circle as the distance and the time as the period, we can rewrite the equation for velocity: v = 2πr/T.
Plug in the given values and solve for the velocity.
v = 2π (696,000km)/587.28 hr
v = π × 1392000km/587.28 hr
v = 2370.25π km/hr
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when you display food in ice, the food must be held at a temperature of:
Answer: When You Display Food in Ice, What Should the Food be Held at a Temperature Of?
Explanation:
According to the FDA, food displayed on ice should be held at a temperature of 41°F or below.
{I Hope This Helps! :)}
a boat with mass of 1 200 kg is traveling at 12 m/s. what is the magnitude of the force required to stop the boat if it undergoes a displacement of 85 m?
Therefore, if the boat experiences an 82m displacement, 1000 N of force will be needed to stop it.
What is the simple definition of mass?A particle or object's mass, which is symbolised by the symbol m, is a measure of how much matter is contained within it. The kilogramme is the standard unit of mass in the International System (SI) (kg). The best definition of mass is the amount of matter contained in any object or body. We notice mass in everything we encounter. A table, chair, bed, football, glass, and even air are examples of items with mass.
How do we measure mass?Beam balances, like a triple beam balance, and digital scientific balances are examples of many sorts of balances. Both grammes and kilogrammes are used as the standard units of measurement for mass in the metric system. You normally use a contemporary digital and spring scale at home to calculate mass.
Briefing:Mass= 1200kg
Speed= 12m/s
Therefore the force = mass × speed
Force= 1200×10 /12
Force= 1000N
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A novelty clock has a 0.0185-kg mass object bouncing on a spring which has a force constant of 1.45 N/m.
a) What is the maximum velocity of the object, in meters per second, if the object bounces 3.35 cm above and below its equilibrium position?
b) How much kinetic energy, in joules, does the object have at its maximum velocity?
The object is approximately 0.862 m/s, and its corresponding kinetic energy is approximately 0.0077 J.
What is the kinetic energy of the object at its maximum velocity?The maximum velocity, we need to determine the amplitude of the oscillation first. Since the object bounces 3.35 cm above and below its equilibrium position, the total displacement is 2 * 0.0335 m = 0.067 m.
Using the equation for the maximum velocity of a mass-spring system, v_max = A * ω, where A is the amplitude and ω is the angular frequency, we can calculate ω. The angular frequency is given by ω = √(k / m), where k is the force constant and m is the mass.
Plugging in the values, ω = √(1.45 N/m / 0.0185 kg) ≈ 12.87 rad/s. Now we can calculate the maximum velocity: v_max = 0.067 m * 12.87 rad/s ≈ 0.862 m/s.
b) The kinetic energy at the maximum velocity, we use the formula KE = (1/2) * m * v^2, where m is the mass and v is the velocity. Plugging in the values, KE = (1/2) * 0.0185 kg * (0.862 m/s)^2 ≈ 0.0077 J.
The maximum velocity of the object is approximately 0.862 m/s, and its corresponding kinetic energy is approximately 0.0077 J.
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1. Name two basic differences between normal galaxies and active galaxies.
2. What is the most likely range of values for Hubble’s constant? What are the uncertainties in its value?
The two basic differences between normal galaxies and active galaxies are related to their luminosity and variability; The most likely range of values of the Hubble constant is 67 to 73 km/s/Mpc.
1) Between normal galaxies and active galaxies, there are two key differences:
Due to the existence of a core supermassive black hole that is continuously accreting matter and producing enormous quantities of energy in the form of radiation and jets, active galaxies are significantly more luminous than regular galaxies.Due to variations in the pace at which material is accreting onto the galaxy's black hole, active galaxies also show far more variation in their brightness over time.2) Hubble's constant, which represents the speed at which the cosmos is expanding, is now thought to lie within the most plausible range of values of 67 to 73 km/s/Mpc. However, there is still significant uncertainty in this value, with different observational methods yielding slightly different results and systematic uncertainties that are difficult to quantify. Current estimates of the uncertainty range from around 1 to 3 km/s/Mpc, depending on the method used and the assumptions made.
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1. Basic difference is in their luminosity. 2. Hubble constant right now is 67-73 km/s/Mpc
Detailed Answer - 1. Two basic differences between normal galaxies and active galaxies are:
- Active galaxies have a much higher luminosity than normal galaxies, due to the presence of a central supermassive black hole that is accreting matter and emitting huge amounts of radiation. This makes them visible at great distances and makes them some of the brightest objects in the universe.
- Active galaxies also have much more variability in their brightness and spectra than normal galaxies, as the activity of the central black hole can change rapidly and affect the surrounding gas and stars. This can result in the emission of jets, outflows, and other phenomena that are not seen in normal galaxies.
2. The most likely range of values for Hubble's constant is currently estimated to be around 67-73 km/s/Mpc, although there is still some debate and uncertainty around this value. The uncertainties in its value come from a variety of sources, including the calibration of the standard candles used to measure distances, the measurement of the redshifts of distant galaxies, and the interpretation of the cosmic microwave background radiation. Some recent measurements have suggested slightly higher or lower values of Hubble's constant than the current consensus, which could have significant implications for our understanding of the universe and its evolution.
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No Attempt 50% Part (b) Calculate the magnitude of the electric field, in newtons per coulomb, at the center of the square (the location of q), given that the square is 4.5 cm on a side.
we can calculate the magnitude of the electric field at the center of the square by summing up the electric field contributions from each charge on the square. The equation is E_total = 4 x E_individual. Substitute the given values into the equation and simplify to find the answer.
To calculate the magnitude of the electric field at the center of the square, we need to consider the contribution from each charge on the square. Since the problem does not provide the charge on each corner, let's assume they are all the same and equal to q.
To find the electric field at the center of the square, we need to sum up the electric field contributions from each charge.
Here's how we can do it step-by-step:
1. First, let's find the electric field due to one of the charges on a corner of the square. The electric field due to a point charge at a distance r is given by Coulomb's Law:
E = k x (q / r^2)
where k is the electrostatic constant and q is the charge on the corner.
2. Since the square is symmetric, the electric field due to each charge will have the same magnitude and will point radially inward towards the center.
3. To calculate the total electric field at the center, we need to consider the electric field due to each charge and add them up. Since there are four corners, we will have four contributions.
4. The electric field due to one charge at the center will be the sum of the electric fields from the four corners:
E_total = 4 x E_individual
5. Now, substitute the given value of the side length of the square (4.5 cm) and the electrostatic constant (k = 9 x 10^9 N m^2/C^2) into the equation.
6. Simplify the equation and calculate the final value of the electric field at the center of the square in newtons per coulomb (N/C).
In conclusion, we can calculate the magnitude of the electric field at the center of the square by summing up the electric field contributions from each charge on the square. The equation is E_total = 4x E_individual. Substitute the given values into the equation and simplify to find the answer.
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Two squares of wire like that in the previous question are placed side by side on a table with a distance of 3 cm between the closest sides of the two squares. A 15 mA current passes counterclockwise through both squares. What is the resulting force between the two squares? Is it attractive or repulsive?
The total magnetic field at the center point between the two squares is \(2 *10^{(-4)}\) Tesla.
Let's assume the current passing through each square of wire is I = 15 mA = \(15 *10^{(-3)} A\).
The magnetic field produced by a square wire at its center can be calculated using the formula for the magnetic field of a long straight wire:
B = (μ₀ * I) / (2 * π * r)
Where:
B is the magnetic field
μ₀ is the permeability of free space\((4\pi × 10^{(-7)} T.m/A)\)
I is the current
r is the distance from the wire
For each square wire, the distance from its center to the center point between the two squares is 1.5 cm = 0.015 m.
Calculating the magnetic field produced by each square wire:
B1 =\((4\pi * 10^{(-7)} T.m/A * 15 * 10^{(-3)} A) / (2 *\pi * 0.015 m)\)
B1 =\(10^{(-4)} T\)
Since the current passes through both squares in a counterclockwise direction, the magnetic fields produced by both squares will have the same magnitude and direction.
Therefore, the total magnetic field at the center point between the two squares is:
B_total = B1 + B1
B_total =\(2 * 10^{(-4)} T\)
B_total = \(2 *10^{(-4)} T\)
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--The complete Question is, Two squares of wire, each with a side length of 4 cm, are placed side by side on a table with a distance of 3 cm between the closest sides of the two squares. A 15 mA current passes counterclockwise through both squares. What is the total magnetic field at the center point between the two squares?--
If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that n = 1.34.
orange-red blue-purple green white yellow
Correct answer is blue-purple.
Let's discuss it further below.
To find the wavelength most strongly reflected at the center of the outer surface when a soap bubble with a thickness of 120 nm is illuminated by white light, you should use the formula for constructive interference. Assuming the refractive index n = 1.34, follow these steps:
1. Calculate the optical path difference: The path difference is twice the thickness of the soap film multiplied by the refractive index (n). In this case, it is 2 × 120 nm × 1.34 = 321.6 nm.
2. Determine the wavelength of constructive interference: For constructive interference, the optical path difference must be equal to an integer multiple of the wavelength. Since the optical path difference is 321.6 nm, you can approximate the reflected wavelength to be around 321.6 nm.
3. Identify the color: A wavelength of approximately 321.6 nm corresponds to the blue-purple range of the visible light spectrum.
So, when a soap bubble with a thickness of 120 nm and refractive index of 1.34 is illuminated normally by white light, the wavelength most strongly reflected at the center of the outer surface is blue-purple.
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What are two ways to create a negative ion?
What are two ways to create a positive ion?
Answer:
what that guy said
Explanation:
because he provides evidence
A capacitor consisting of two separated parallel horizontal plates has a uniform electric field directed upward. If the negative charge is placed exactly midway between the two plates, will ita. remain at rest?b. be accelerated upward?c. be accerelated downward?d. be accelerated to the right?e. be accelerated to the left?
If a negative charge is placed exactly midway between two parallel plates of a capacitor, it will remain at rest.
This is because the electric field between the two plates is uniform and directed upwards, perpendicular to the surface of the plates.
Since the negative charge is also negatively charged, it will experience a force in the opposite direction to the electric field, that is, downwards.
The magnitude of this force will be proportional to the charge of the particle and the strength of the electric field, as given by the formula
F = qE, where F is the force, q is the charge, and E is the electric field.
However, since the negative charge is placed exactly midway between the two plates, the forces on the charge due to the electric field will be equal and opposite, resulting in a net force of zero.
Therefore, the charge will remain at rest and not be accelerated in any direction.
Hence, option (a) is the correct answer: the negative charge will remain at rest.
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