For total internal reflection to occur, all of the following must happen but light must travel slower in the first medium.
What is the total internal reflection?Total internal reflection, can be described as the complete reflection of a ray of light within a medium however this medium could be water or glass from the surrounding surfaces back into the medium.
It should be noted that the total internal reflection will not take place unless the incident light is traveling within the more optically dense medium , hence phenomenon occurs if the angle of incidence is greater compare to certain limiting angle.
Therefore, option A is correct.
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the equations used to describe hearing are more diverse and complex, covering a range of topics such as the physics of sound waves, the anatomy and physiology of the ear, the neural processing of sound in the brain, and the psychoacoustics of perception. these equations may include wave equations, diffusion equations, and statistical models and may be used to describe various aspects of hearing, such as the way in which sound waves are absorbed, reflected, and refracted by different materials and structures, the way in which the ear converts sound waves into electrical signals, and the way in which the brain processes and interprets these signals.
The equations used to describe hearing cover a range of topics and may include wave equations, diffusion equations, and statistical models.
Hearing is a complex process that involves the physics of sound waves, the anatomy and physiology of the ear, the neural processing of sound in the brain, and the psychoacoustics of perception. To understand and describe this process, a variety of equations are used. These may include wave equations, which describe the way in which sound waves are absorbed, reflected, and refracted by different materials and structures.
Diffusion equations may be used to describe the way in which sound is transmitted through different media, such as air, water, and bone. Statistical models may be used to describe the way in which the ear and brain process and interpret sound. Together, these equations help to provide a comprehensive understanding of the hearing process.
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What do you find most difficult about developing a research topic? What strategies are you most likely to use now that you have information about how to develop a quality topic? << Read Less
The most difficult issue about developing a research topic can be to raise the right questions, while strategies to use when we already have information about how to develop a quality topic is to develop suitable experiments and or observational procedures.
What is the scientific method?The scientific method is a series of well organized steps used to collect scientific information, which is first based on observation of the real words that can be used to raise questions in order to understand such observations.
Subsequently, the scientific method requires raising explanations or hypotheses which may be tested (either confirmed or rejected) by experiments and or observational procedures.
Therefore, with this data, we can see that the scientific method is based on asking the right questions, which then leads us to develop experimental procedures or also observations in order to test the working hypothesis.
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sinusoidal water waves are generated in a large ripple tank. the waves travel at 20cm/s and their adjacent crests are 5cm apart. the time required for each new whole cycle to be generated is?
a) 100 s b) 4.0 s c) 2.0 s d) 0.5 s e) 0.25 s
The time required for each new whole cycle to be generated is 0.25 s. So answer e is correct.
Sinusoidal water waves are a type of wave that is generated in a large ripple tank. These waves travel at a rate of 20cm/s and their adjacent crests are 5 cm apart. The time required for each new whole cycle to be generated is dependent upon the velocity of the wave and the distance between the adjacent crests.
To calculate the time required for a new whole cycle to be generated, we must first determine the wavelength of the wave. The wavelength is equal to the distance between the adjacent crests, which is 5 cm. Now that we know the wavelength, we can use the formula
v=λ/t
where v is the velocity of the wave (20 cm/s), λ is the wavelength (5 cm), and t is the time required for one cycle to be generated.
By substituting the given values into the equation, we can calculate the time required for one cycle to be generated.
t=λ/v,
so t=5 cm/20 cm/s,
or t=0.25 s.
Therefore, the time required for each new whole cycle to be generated is 0.25 s.
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calculate combustion of methane using bomb calorimeter given data about the calorimeter and water in it
The combustion of methane can be calculated using the data from the bomb calorimeter and the amount of water in it.
First, determine the heat of the combustion of methane. This can be done by taking the heat capacity of the calorimeter, subtracting the heat capacity of the water, and then multiplying the resulting number by the mass of methane used.
For example, if the heat capacity of the calorimeter is 5 kcal/°C and the heat capacity of the water is 1 kcal/°C, and the mass of methane used is 2 g, the heat of combustion of methane would be (5 - 1) x 2 = 8 kcal.
Next, calculate the change in temperature of the water. This can be done by taking the heat of the combustion of methane and dividing it by the heat capacity of the water.
For the example above, the change in temperature of the water would be 8 kcal/1 kcal/°C = 8°C.
Finally, calculate the combustion of methane. This can be done by taking the heat of the combustion of methane and dividing it by the change in temperature of the water.
For the example above, the combustion of methane would be 8 kcal/8°C = 1 kcal/°C.
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if you are in a low-speed collision, when your vehicle is repaired, be sure to have your replaced.
The things which can be replaced after the low-speed collisions are airbags, dents on the car, the broken mirror or any part, etc.
What is low-speed collision?A car accident that happens while moving less than 10 miles per hour is referred to as a low-impact or low-speed collision. There are several situations that could result in a low-impact collision. Accidents in crosswalks or other pedestrian zones are only a few instances.
Here, are some things you should replace after the collision,
1. Vehicle assistance technologies
Even though your car may appear to be in good condition, it may not be performing at its best. Modern cars are equipped with a ton of high-tech features, such as several electronic sensors, cameras, and radar that constantly monitor your car.
2. Diagnostic error codes
The structural integrity of the car's frame, as well as the functionality of its steering and suspension components, are all thoroughly inspected. Scanners should be available to reputable shops so they may look for diagnostic trouble codes (DTCs) that may have been set off by an accident.
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PLEASE HELP ME ANSWER THE PHYSICS QUESTIONS ON MY PROFILE!!!
i will give brainliest to the first to answer!!! this one and the other ones
Two freight cars, each with a mass of 291,001 kg, collide and stick together. One was initially moving at 2.4 m/s and the other was at rest. What is their final speed?
In the figure, a red car and a green car, identical except for the colour, move toward each other in adjacent lanes and parallel to the xâaxis. At time t=0, the red car is at x r =0, and the green car is at x g =220m. If the red car has a constant velocity of 20km/h, the cars pass each other at x=44.5m, and if it has a constant velocity of 40km/h, they pass each other at x=76.6m. What is the constant acceleration of the green car?
The constant acceleration of the green car which passes red color car is 2.81 m/s^2.
In this problem, the initial positions of the red and green cars are xr = 0 and xg = 220 m, respectively, and their initial velocities are vr = 20 km/h and vg = 0. When the red car has a velocity of 20 km/h, the cars pass each other at x = 44.5 m, and when the red car has a velocity of 40 km/h, they pass each other at x = 76.6 m.
We can use these two equations to solve for the acceleration of the green car. First, we convert the velocities from kilometers per hour to meters per second by dividing by 3.6. This gives us vr = 5.56 m/s and vg = 0 m/s.
Then, we can substitute these values into the equation for position and solve for the acceleration. When the red car has a velocity of 20 km/h, the equation becomes:
x = 0 + 5.56t + 1/2at^2
x = 44.5
Solving for a, we find that the acceleration of the green car is a = 2.61 m/s^2.
When the red car has a velocity of 40 km/h, the equation becomes:
x = 220 + 11.11t + 1/2at^2
x = 76.6
Solving for a, we find that the acceleration of the green car is a = 2.61 m/s^2.
When the red car has a velocity of 40 km/h, the equation becomes:
x = 220 + 11.11t + 1/2at^2
x = 76.6
Solving for a, we find that the acceleration of the green car is a = 3.02 m/s^2.
Since the acceleration is the same in both cases, we can take the average of these two values to find the constant acceleration of the green car. The average of 2.61 m/s^2 and 3.02 m/s^2 is 2.81 m/s^2.
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which set of changes will always increase the current in an electrical circuit?
Answer:
increasing voltage and decreasing resistance
Which of the following describes a natural satellite?
an object that senses radiation from celestial objects
an object that observes another planet
an object that orbits another planet
an object that records images of celestial objects
Answer:
An object that orbits another planet describes a natural satellite.
Explanation:
this object's brightness is 2.5 times greater today than in ptolemy's time, suggesting changes in stellar evolution 100 times larger than predicted.
This object, which is located in an asterism with Kochab and Pherkad, has a decreasing amplitude, which indicates that it has left the instability strip in Polaris.
Objects in a sentence are what?The focus of a sentence. In most cases, the subject's verb is acting on a person, place, or thing, which is the object. The noun or pronoun that follows the verb is the simplest place to seek for the object in a short phrase, as you might expect.
An actual object is what?In other words, it is precisely as it was before being depicted in all aspects. It is true that an object is typically—but not always—modified in some manner when it is represented. but by the Object in itself.
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according to the international phonetic alphabet (ipa), what is the label given to consonants in which there is a much wider passage of air resulting in a smooth (as opposed to turbulent) airflow?
Approximants is the name given to consonants that have a much larger air path, leading in a smooth airflow as opposed to a turbulent airflow.
Which four approximates are they?The vocal tract is only minimally constrained enough to cause air to become turbulent—to produce the four English 3.43 sounds (/l/, /r/, /w/, and /y/). For English language learners working on pronunciation and accent reduction, these sounds can be particularly challenging.
How many approximations exist?In English, there are just four approximates, and each of them is voiced. Additionally, they are all produced the with soft palate lifted, making them all oral noises. The English version 3 are explained below.
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If you Heat 50 grams of cold and 50 grams of cold water how does it affect the temperature change
Yes , if we heat 50 grams of cold sand and 50 grams of cold water the temperature changes according to the density of material i.e. if sand is denser than water than the water will get heated faster than the given cold sand.
What is Heat?Heat is the form of energy.The Measurement of heat is done in various units like degree Celsius, Kelvin, Fahrenheit .The S.I unit of heat is joule (J).When the energy is in the form of heat then the molecules are in motion of the substances which is heated or giving the heat.Temperature:it is the measurement of the coldness or hotness of a substances or object or place.The instrument used to measure temperature is termed as Thermometer.To know more about Heat visit
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7. What was one advantage of the Stanford-Binet scale intelligence tests over previous ones?
The Stanford-Binet scale tests were more accurate.
The Stanford-Binet scale tests were given with paper and pencil versus conducting one-on-one interviews
The Stanford-Binet scale tests accounted for differences in social class.
The Stanford-Binet scale tests accounted for differences in test takers from different social classes.
Answer:
One advantage of the Stanford-Binet scale intelligence tests over previous ones is that they were given with paper and pencil, rather than conducting one-on-one interviews. This allowed for a more standardized and objective administration of the test, which helped to improve the reliability and validity of the test scores. Additionally, the Stanford-Binet scale tests were designed to account for differences in test takers from different social classes, which previous intelligence tests did not do. This made the Stanford-Binet scale tests more fair and unbiased, and allowed for more accurate comparisons between test takers.
of negligible mass, spring constant k and unstretched length L. First, one spring is attached to the end of the other spring and slowly lowered to its equilibrium position. The two spring stretch a total distance of X1. Next the spring are hung side by side. The block is attached to the end of the springs and again slowly lowered to its equilibrium position. The springs each stretch a distance of X2. Which of the following correctly shows the relationship between x1 and x2?
(a) X1=X2
(b)X1=â2X2
(c)X1=2X2
(d)X1=4X2
(e)X1=8X2
The correct option is option (d) X1=4X2 is the relationship between X1 and X2.
We get the above answer through the following method,
For case 1: two springs are connected in series to stretch up to a total distance of X1.
So, for the equilibrium position,
F= mg= k’X1
For case 2: two springs are connected in parallel to stretch up to an individual distance of X2
So, for equilibruim position,
F= mg= k”X2
Let n be the number of springs, which in this case is 2.
n=2.
For a series combination of springs, effective spring constant (k’)= [tex]\frac{k}{n}[/tex]= [tex]\frac{k}{2}[/tex]
For a parallel combination of springs, effective spring constant (k”)= nk= 2k
Now, due to the conservation of force, the force applied in both cases is equal
Therefore, k’X1= k”X2
=>[tex]\frac{k}{n} *[/tex]X1= 2kX2
=>X1= 4X2
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You push on the door and it opens explain what happens in terms of action reaction forces 
Answer:
When you push on the door and it opens, the action-reaction forces at play are the force you exert on the door and the force the door exerts on you.
According to Newton's third law of motion, when two objects interact, they exert equal and opposite forces on each other. In this case, when you push on the door, you are applying force to the door. This force is then met by an equal and opposite force from the door, which pushes back against your hand.
The magnitude and direction of the forces depend on the relative mass and acceleration of the objects. In this case, the door is much heavier than your hand, so it requires a greater force to move it. As a result, the door exerts a greater force on your hand in the opposite direction, causing your hand to move backward.
Overall, the action-reaction forces at play in this situation are the force you exert on the door and the force the door exerts on you, which are equal in magnitude but opposite in direction. These forces act to accelerate the door and your hand in opposite directions, causing the door to open and your hand to move backward.
Newton’s second law of motion on a flying chair swing ride
The ride is powered by a motor that makes the swing ride spin around the centre axis of the ride. The chairs move in a circle at a moderate speed. The forces acting on a swing rider are the tension in the chain and the weight of the rider.
Explanation:When the swing moves from the lowest point up to either peak, the main force acting is momentum; and when the swing falls from either peak to its lowest point, the main force acting is gravity. The movement of the pendulum is said to be simple harmonic motion because the restoring force acts directly proportional to the displacement and is directed towards the equilibrium position. Hence, the movement of the Pendulum is simple harmonic motion.
A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding to the perihelion of the ellipse, or the closest point to the Sun, and the arrival planet at the aphelion, or the farthest point from the Sun. (Assume the orbital radius of the Earth is 1.50∗108 m, and the orbital radius of Mars is 2.30∗108 m, and mass of Sun to be 2.00∗1030kg. Calculate how long spacecraft will take to arrive at Mars.
The planet that will arrive at the aphelion, or the Sun's farthest point from the Earth. a=(1.5e11+2.28e11)/2=1.89e11(m).
Kepler's Third Law
Use a3/T2=const with earth.
It will take 516 days for a spaceship to reach Mars since 1.89e11/3T is equal to 1.5e11/3365.
What makes energy crucial?Because it is a fundamental human requirement, energy is crucial to our everyday activities. In addition to using we consume electricity to heat the facilities we having built, however we use it as well to cool those. For getting out of bed, you need energy.
How does energy become made?Using a turbine generator set, electrical energy is transformed from mechanical energy to create electricity. Natural gas, coal, nuclear fission, biomass, petroleum, geothermal, and solar thermal all utilise the heat generated throughout the process to make steam.
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an unsuccesstul life-historv strategv would be associated with bopulations that: decrease in size over time increase in size over time either decrease or do not change in size over time either increase or do not change in size over time.T/F
False. An unsuccessful life-history strategy would be associated with populations that decrease in size over time.
Life-history strategies are the ways in which organisms allocate their resources (such as time, energy, and nutrients) to various life-history components, such as reproduction, growth, and survival. Unsuccessful life-history strategies are those that do not result in the long-term survival and reproduction of the organisms following that strategy. Such strategies may result in populations that do not increase in size or even decrease over time.
On the other hand, successful life-history strategies are those that result in the long-term survival and reproduction of the organisms following that strategy. These strategies may result in populations that increase in size over time or at least remain stable.
It is important to note that the success or failure of a life-history strategy depends on the specific environment and conditions in which the organism is living. What may be a successful strategy in one environment may not be successful in another.
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If we assume that these pictures were taken in an area frequented by hikers, why do you think that bear activity increases as certain points during the day?
Hikers frequently take photos in the area, and bear behavior is generally observed during the evening and morning hours, so precautions should be taken to avoid a bear attack and promote safe hiking.
What is the wild animal's behavior?People frequently visit the forest, mountains, and other areas where humans and wildlife interact, such as the forest, where bears, elephants, and other wildlife roam freely, and hikers should be aware of this fact and take precautions, such as standing still when a bear approaches.
Hence, hikers frequently take photos in the area, and bear behavior is generally observed during the evening and morning hours, so precautions should be taken to avoid a bear attack and promote safe hiking.
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Which of the following methods of sound localization between the two ears can we rely on for tones of very low frequencies? -Interaural time differences -Interaural level differences -Interaural frequency differences -Interaural echo differences More than one of the above
According to Doerbecker and Ernst (1996) and Francart et al. (2011), interaural time difference (ITD) and interaural level difference (ILD) are the two primary auditory cues used by binaural hearing. The delay between each ear is known as ITD.
What technique best localizes sound between the two ears?
Rayleigh's view of horizontal sound localization has come to be known as the “duplex” theory: that sound localization at low frequencies relies on differences in phase at the two ears, or ITDs, and that high-frequency localization relies on interaural differences in sound level (ILDs).
What two variables affect sound localization?
The variation in the loudness of the sound in each ear and the time it took for the sound to reach each ear are two elements that affect how the sound is localized.
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Due to the nature of this problem, do not use rounded intermediate values in your calculations
Find the currents flowing in the circuit in the figure below. (Assume the resistances are
R1 = 20 Ω,
R2 = 6 Ω,
R3 = 15 Ω,
R4 = 10 Ω,
r1 = 0.5 Ω,
r2 = 0.25 Ω,
r3 = 0.25 Ω,
and
r4 = 0.5 Ω.)
I1 = A
I2 = A
I3 = A
The currents flowing in the circuit in the given figure are;
I₁ = 0.47855 A, I₂ = -0.428 A, I₃ = 1.02445 A
How to find the current in the circuit by Kirchoffs' Voltage Law?Kirchhoff's voltage law states that the algebraic sum of the potential differences in any loop must be equal to zero as: ΣV = 0.
Given the various resistances and circuit we will apply Kirchhoff's voltage law and Junction Law
Apply Kirchhoff's law to the left side loop to get;
E₁ + E₂ = ( r₁ + R₁ + R₄ ) I₁ + ( R₂ + r₂ ) I₃
18 + 3 = (0.5 + 20 + 10)I₁ + (6 + 0.25) I₃
21 = 30.5 I₁ + 6.25 I₃ ----( 1 )
Apply Kirchhoff's law to the right side loop to get;
E₃ - E₄ - E₂ = (r₃ + r₄ + R₃)I₂ - (r₂ + R₂)I₃
12 - 24 - 3 = (0.25 + 0.5 + 15) I₂ - (0.25 + 6) I₃
-15 = 15.75I₂ - 6.25 I₃ --- ( 2 )
Applying the law of Junction to get;
I₁ = I₂ + I₃
Put I₂ + I₃ for I₁ in eq 1 to get;
21 = 30.5(I₂ + I₃) + 6.25 I₃
21 = 30.5I₂ + 30.5I₃ + 6.25 I₃
21 = 30.5I₂ + 36.75I₃ -----(3)
Solving equations 2 and 3 simultaneously gives us;
I₁ = 0.492 A, I₂ = -0.5459 A, I₃ = 1.02445 A
Thus;
I₁ = -0.5459 + 1.02445
I₁ = 0.47855
Hence we can conclude that the currents flowing in the circuit are as follows : I₁ = 0.47855 A, I₂ = -0.428 A, I₃ = 1.02445 A
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a circular loop of wire with a radius of 15.0 cm and oriented in the horizontal xy-plane is located in a region of uniform magnetic field. a field of 1.2 t is directed along the positive z-direction, which is upward.
After solving the equation the the positive z-direction is 36.88 volts are the EMF is the correct answer.
Due to that,
Radius: 15 cm = 0.15 meters
The formula for the area of a circle can be used to calculate the area of the circular loop.
A = π r²
A = π × 0.15²
A = 0.0708 m²
B = 1.2T magnetic field in the positive z direction
B = 1.2 •k T.
If loop is deleted from the field during the specified time period
∆t = 2.3ms = 2.3×10^-3s
The stated average EMF is what we are looking for, and it is
ε = —∆Φ/∆t
There is no further flow.
Φf = 0
When the magnetic flux is expressed as
I = BACosΘ
where =0 since both the magnetic field and the area are pointing in the same direction.
I=BA Cos0
Φi = BA
Φi = 1.2 × 0.0708
Φi = 0.0848 Vs
Then, ε = —∆Φ/∆t
ε = —(Φf — Φi) / ∆t
ε = —(0-0.0848) / (2.3×10^-3)
ε = 0.0848 / (2.3×10^-3)
ε = 36.88 V
36.88 volts are the EMF.
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Note that momentum can be related to kinetic energy: KE = p2m. The presence of friction in our experimental setup results in a ratio of (total moment before/total momentum after) the collision to be O a. Less than 1.0 because kinetic energy is lost to friction. O b. More than 1.0 because kinetic energy is gained in the collision due to friction. O c. equal to zero because of energy loss due to friction. O d. None of the above is correct.
The presence of friction in our experimental setup results in a ratio of (total moment before/total momentum after) the collision to be less than 1.0 because kinetic energy is lost to friction.
Collision is a case where one moving object or person violently collides with another.
Friction causes a constant loss of energy in moving objects because work is done by friction.
This loss of energy manifests itself as a gradual reduction in speed.As we know momentum is P = m*v i.e. momentum (P) is directly proportional to the mass and velocity.
Due to presence of friction, velocity will be reduced after collision and hence the total momentum after collision will be reduced.
So,
Total momentum before collision < Total momentum after collision
Therefore, the ratio of total momentum before and after collision will be less than 1.0.
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For the different values given for the radius of curvature R and sped, rank the magnitude of the force of the roller-coaster track on the bottom of each clip. Rank from largest to smallest. To rank items as equivalent, overlap them.
The magnitude of the force of the roller-coaster track on the bottom of each clip can be ranked from largest to smallest as follows: R = 50 m, speed = 10 m/s R = 100 m, speed = 10 m/s R = 50 m, speed = 5 m/s.
The magnitude of the force of the roller-coaster track on the bottom of a clip is determined by the radius of curvature of the track and the speed of the clip.
For a given radius of curvature and speed, the magnitude of the force will be larger when the radius of curvature is smaller and the speed is larger, and smaller when the radius of curvature is larger and the speed is smaller.
Based on this information, the magnitude of the force of the roller-coaster track on the bottom of each clip can be ranked as follows:
R = 50 m, speed = 10 m/s
R = 100 m, speed = 10 m/s
R = 50 m, speed = 5 m/s
The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 50 m and a speed of 10 m/s will be the largest. The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 100 m and a speed of 10 m/s will be smaller. The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 50 m and a speed of 5 m/s will be the smallest.
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In many kitchens, a microwave oven is used to cook food. The frequency of the microwaves is on the order of 1010 Hz. Are the wavelengths of these microwaves on the order of (a) kilometers, (b) meters, (c) centimeters, or (d) micrometers?
If a microwave is used to cook food, the wavelength of these microwaves are on the order of millimeters. Approximately 1010 Hz is the frequency of the microwaves.
The meaning of wavelengthA waveform signal's wavelength is defined as the separation between two identical locations (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).
Which two wavelength types are there?UV, X, and gamma rays are examples of shorter wavelength and higher frequency electromagnetic waves. Microwaves, radio waves, and infrared light are examples of radio energy with higher wavelength and lower frequency.
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Two charged particles, q1 and q2, are located on the x-axis, with q1 at the origin and q2 initially at
x1 = 13.2 mm.
In this configuration, q1 exerts a repulsive force of 2.62 µN on q2. Particle q2 is then moved to
x2 = 17.8 mm.
What is the force (magnitude and direction) that q2 exerts on q1 at this new location? (Give the magnitude in µN.)
The force that q₂ exerts on q₁ at this new location is 1.44 µN in - X axis direction.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. Newton is the SI unit of force.
As electric force due to point charge is inversely proportional to the square of distance.
Given that with q₁ at the origin and q₂ initially at x₁ = 13.2 mm, q₁ exerts a repulsive force of 2.62 µN on q₂.
Hence, with q₁ at the origin and q₂ initially at x₁ = 17.8 mm, q₁ exerts a repulsive force of on q₂ = 2.62 µN (13.2/17.8)²
= 1.44 µN .
So, q₂ exerts a force of 1.44 µN on q₁ at this new location in - X axis direction.
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Answer:
What is the force applied between q1 and q2?
✔ 10.8 N
In which direction does particle q2 want to go?
✔ away from particle q1, in a straight line to the right
Explanation:
The stone thrown with an initial velocity of 20. meters per second straight upward from the edge of a cliff 100. meters above a canyon floor. The stone just misses the cliff's edge on its way down (Neglect friction). Calculate the position of the stone 6.0 seconds after it was thrown.
The stone's greatest height over the cliff is 2.04s and it takes it and the stone respectively seconds to get there 20.4s
What is the explanation?Given:
The stone's starting velocity is 20m
The cliff rises to a height of.100. meters
Concept:
The stone will move when it is hurled upward from the top of the cliff owing to the acceleration caused by gravity. Because the acceleration on the stone is operating in the direction opposite to its motion, the speed of the stone will decrease as it climbs upward.
When the stone reaches its highest point and briefly comes to rest, its speed will be zero.
the length of time it took the stone to stand at its tallest
The time it took the stone to reach its highest point is provided by:
0 = 20-(9.8)t
t = 20/9.81 s
= 2.04 s
Here, the stone's time, beginning velocity, ultimate velocity, acceleration, and time are all shown.
[tex]v^{2} f = vi^{2} -2gs[/tex]
Replace the values in the equation above.
The distance the stone traveled to attain its greatest height is calculated as follows:
[tex](0)^{2} = (20)^{2} - 2(9.81)s\\s = \frac{400}{19.62} m\\20.4 m[/tex]
The stone's travel distance is shown here.
Replace the values in the equation above.
As a result, the greatest height that the stone can reach over the cliff is 2.04 m and the time it takes to get there are both equal to 20.4 m
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A 95kg solid sphere with a radius of 15cm is suspended by a vertical wire attached to the ceiling of a room. A torque of 0.20Nm is required to twist the sphere through an angle of 0.85rad. What is the period of oscillation when the sphere is released from this position?
The period of oscillation of the sphere is 161 seconds.
What is oscillation?
Oscillation is the repetitive movement of a particle or system about a central position or equilibrium point. Oscillations can occur in a variety of forms, such as periodic oscillations (which repeat at regular intervals), damped oscillations (which gradually decrease in amplitude over time), and driven oscillations (which are driven by an external force).
To find the period of oscillation of the sphere, you need to know its angular frequency, which is given by the following formula:
angular frequency = sqrt(k / I)
where k is the angular spring constant (also known as the torsional spring constant), and I is the moment of inertia of the sphere.
The angular spring constant is given by the following formula:
k = torque / angle of twist
Plugging in the values from the problem, you get:
k = 0.20Nm / 0.85rad = 0.235Nm/rad
The moment of inertia of a solid sphere is given by the following formula:
I = (2/5) * mass * radius^2
Plugging in the values from the problem, you get:
I = (2/5) * 95kg * (15cm)^2 = 6750kg*cm^2
Plugging these values into the formula for angular frequency, you get:
angular frequency = sqrt(0.235Nm/rad / 6750kg*cm^2) = 0.0062rad/s
The period of oscillation is the reciprocal of the angular frequency, so you can calculate it using the following formula:
period = 1 / angular frequency
Plugging in the value for angular frequency that you calculated above, you get:
period = 1 / 0.0062rad/s = 161s
Therefore, the period of oscillation is 161 seconds.
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match the following distance on the left with the maximum speed on the right group of answer choices 2 seconds [ choose ] 3 seconds [ choose ] 4 seconds [ choose ]
Even if you are confident in your own driving skills, you have no control over outside elements such as other drivers' behavior, unfavorable road and weather conditions, or other unexpected risks.
It's best to stay 3-4 seconds behind the automobile in front of you to lessen the risk of a collision. Every driver must practice safe driving behaviors in order to reduce their chances of being involved in an accident. The "three-second rule" is a common rule that many drivers use to maintain safe following distances. It is necessary to leave three seconds of distance between your vehicle and the vehicle in front of you. The 3-second rule suggests keeping three car lengths between you and the car in front of you. This is also referred to as the distance.
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Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Then solve the triangle. Round your answer to two decimal places. a= 19, b= 21. C = 75° = O Law of Sines: A = 75°, B = 48.770, = 21 O Law of Sines; A = 48.77°, B = 75°, c = 21 Law of Sines: No solution Law of Cosines: A = 48.77°, B = 56.23° c = 24.40
When we are provided either a) two angles and one side or b) two sides and an excluded angle, we utilize the sine rule. When we have either a) three sides or b) two sides and the included angle, the cosine rule is used.
Therefore, you either need two sides and an angle to solve for the remaining side or all three sides to solve for an angle. Therefore, you can't just use the rule of cosines if you have two angles (which allows you to figure out the third, making it technically three angles) and a side. The Law of Sines cannot be applied to triangles with two sides and an included angle or three sides.
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