The rainbow seen after a rain shower is caused by refraction.
What does refraction mean?
Refraction is the result of a wave's direction changing as it travels from one medium to another due to a change in speed.
A rainbow will always form in the opposite direction from where the Sun is. The water droplets perform the role of tiny prisms. The incident sunlight is first refracted and dispersed before being internally reflected and then refracted once more when it exits the raindrop.
Refraction, dispersion, and total internal reflection are all factors in the production of a rainbow. A water droplet is illuminated by the sun. The light bends or refracts as it enters the raindrop. White light is divided into seven different colors as a result of the slowing of light.
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FILL IN THE BLANK. Two waves are traveling through a container of an inert gas. Wave A has an amplitude of 0.1 cm. Wave B has an amplitude of 0.2 cm. The energy transported by wave B must be __________ the energy transported by wave A.
a. one-fourth
b. one-half
c. two times larger than
d. four times larger than
c. Two times larger than. The energy transported by a wave is proportional to the square of its amplitude, so wave B with an amplitude of 0.2 cm has four times the energy of wave A with an amplitude of 0.1 cm.
Therefore, the energy transported by wave B is two times larger than the energy transported by wave A.
Your answer: d. four times larger than
Two waves are traveling through a container of an inert gas. Wave A has an amplitude of 0.1 cm, and Wave B has an amplitude of 0.2 cm. The energy transported by wave B must be four times larger than the energy transported by wave A.
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How does the heat given off by the combustion of fossil fuels help produce electrical energy?(SOMEONE PLS ANSWER QUICKLY)
A: Chemical energy is stored in batteries.
B: Thermal energy vaporizes water that spins turbines.
C: Hot coal produces electrical energy as it burns.
D: Nuclear energy powers electrical transformers.
The heat given off by the combustion of fossil fuels help produce electrical energy is (B) Thermal energy vaporizes water that spins turbines.
When fossil fuels like coal or natural gas are burned, heat is released into the air, which is used to heat water and create steam. The steam is then used to power turbines, which are linked to electricity-generating generators. The most popular way to generate energy from fossil fuels is through a process called thermal power generation.
Therefore, the correct option is (B).
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a cart of mass m0 can roll on frictionless bearings on a horizontal track. the cart is connected to a spring of force constant k. the point where the spring attaches to the cart is point p, which is directly above the location x
When the cart is at rest, the spring is in equilibrium and exerts no net force on the cart. This means that the net force on the cart is zero and the acceleration of the cart is also zero.
What is equilibrium?Equilibrium is a state of balance or stability within a system. It occurs when opposing forces or influences are equal in strength, so that no change occurs. In economics, equilibrium is the state of a market where the demand for goods and services is equal to the supply of those goods and services, and prices remain stable. Equilibrium can also refer to a state of balance in a person's physical, mental, or emotional state.
If the cart is displaced from its equilibrium position, then the spring exerts a force on the cart in the direction of its equilibrium position. This force is proportional to the displacement (x) from the equilibrium position. The magnitude of this force is given by F = kx, where k is the spring constant. This force causes the cart to accelerate in the direction of the equilibrium position. The acceleration of the cart is given by a = F/m0, where m0 is the mass of the cart. Therefore, the acceleration of the cart is given by a = kx/m0.
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Complete Question:
a cart of mass m0 can roll on frictionless bearings on a horizontal track. the cart is connected to a spring of force constant k. the point where the spring attaches to the cart is point p, which is directly above the location x=0. the cart is initially at rest at the position x=0.
f space is expanding, that tell us something about how the universe began. what would happen if wind the clock backwards? how would the distance between objects today compare with the distances in the early universe?
If we wind the clock backwards to the early universe, the distances between objects would be significantly smaller than they are today.
The expansion of space is a result of the Big Bang, which took place around 13.8 billion years ago. As time progresses, space continues to expand, causing galaxies and other celestial objects to move away from each other. By rewinding time and going back to the early universe, we would observe that the distances between objects were much smaller, as everything was closer together and concentrated in a smaller region of space.
In the early universe, the distances between objects were much smaller compared to today due to the ongoing expansion of space since the Big Bang.
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what is the acceleration a1 of the block when it passes through its equilibrium position? express your answer in terms of some or all of the variables a , m , and k .
The acceleration a1 of the block when it passes through its equilibrium position can be expressed as: a1 = -a (m/k) where a is the amplitude of the oscillation, m is the mass of the block, and k is the spring constant.
When the block passes through its equilibrium position, the net force acting on it is zero.
At this point, the spring force and the gravitational force cancel each other out. Therefore, the acceleration of the block is also zero at this point.
However, as the block moves away from the equilibrium position, the spring force begins to dominate over the gravitational force and causes the block to accelerate towards the equilibrium position.
The acceleration is directly proportional to the displacement from the equilibrium position and is given by a = -kx/m, where x is the displacement.
When the block reaches the maximum displacement (amplitude) a, the spring force is at its maximum and the gravitational force is negligible. At this point, the acceleration is given by a = -a (m/k).
In conclusion, the acceleration of the block when it passes through its equilibrium position is zero. However, as it moves away from the equilibrium position, the acceleration is given by a = -a (m/k). This expression shows that the acceleration is directly proportional to the amplitude of oscillation, inversely proportional to the mass of the block, and inversely proportional to the spring constant.
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A positive charge is placed between the plates of a parallel plate capacitor and released from rest at Point B, as shown in the figure. In what direction does the charge move?
In the previous question, the work done by the electrostatic force in moving the positive charge from Point B to Point C (Wbc) would be equal to which of the following?
The potential difference between Point B and Point C (Vbc), multiplied by the magnitude of the charge (q). Therefore, Wbc = qVbc.
What is magnitude?Magnitude is a measure of the size or intensity of a physical quantity. It is a numerical value that describes the relative strength or size of a phenomenon, such as an earthquake, hurricane, or other natural event, relative to a reference value. Magnitude is also used to describe the brightness of a star or other celestial body. Magnitude is usually expressed as a number on a logarithmic scale, such as the Richter scale for earthquakes, or the magnitude scale for stellar brightness.
The positive charge will move towards the negative plate of the capacitor, since it is attracted by the negative charge on the plate.
The work done by the electrostatic force in moving the positive charge from Point B to Point C (Wbc) is equal to the potential difference between Point B and Point C (Vbc), multiplied by the magnitude of the charge (q). Therefore, Wbc = qVbc.
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a small focal spot size or lower tube current will result in: a. lower spatial resolution b. decreased detector cell size c. higher spatial resolution d. decreased sampling frequency
C. A small focal spot size or lower tube current will result in higher spatial resolution. This is because a smaller focal spot size or lower tube current allows for more precise imaging of smaller structures, leading to increased spatial resolution. Decreased detector cell size and decreased sampling frequency may also contribute to increased spatial resolution, but these factors are not directly related to the focal spot size or tube current.Spatial resolution refers to the ability of an imaging system, such as a camera or a microscope, to distinguish between two adjacent objects in an image or to resolve fine details in an image. It is a measure of the smallest resolvable feature size in an image.
In general, the higher the spatial resolution of an imaging system, the better its ability to distinguish between small details or objects in an image. Spatial resolution is typically quantified in terms of the number of pixels or line pairs per unit distance, such as pixels per inch or line pairs per millimeter.
The spatial resolution of an imaging system depends on several factors, including the optical properties of the lens or microscope objective, the size of the detector or sensor, and the quality of the imaging software. Other factors that can affect spatial resolution include the amount of noise in the image, the contrast of the image, and the lighting conditions under which the image was taken.
Spatial resolution is an important consideration in many fields, including medical imaging, remote sensing, and microscopy. In medical imaging, for example, high spatial resolution is critical for detecting small lesions or abnormalities in the body. In microscopy, high spatial resolution is important for visualizing the fine details of cells and tissues.
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Who was the first person to orbit the earth in a spaceship?.
Answer:
Yuri A. Gagarin
Explanation:
Answer: Yuri A. Gagarin
Explanation:
Sputnik 1 was the first human-made object to achieve orbital spaceflight. It was launched on 4 October 1957 by the Soviet Union. Vostok 1, launched by the Soviet Union on 12 April 1961, carrying Yuri Gagarin, was the first successful human spaceflight to reach Earth orbit.
He made a 108-minute orbital flight in his Vostok 1 spacecraft. He was a Soviet pilot and cosmonaut who became the first human to journey into outer space. He was 27 years old at the time of the flight.
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As fluid moves through a vessel, which factors determine the flow resistance? select all that apply.
The factors that determine the flow resistance as fluid moves through a vessel are: Viscosity of the fluid, Length of the vessel and Radius of the vessel.
The flow resistance of a vessel depends on the three factors mentioned: viscosity of the fluid, length of the vessel, and radius of the vessel.
Viscosity of the fluid is a measure of how resistant the fluid is to flow. The higher the viscosity, the more difficult it is for the fluid to move through the vessel, resulting in greater flow resistance.
The length of the vessel refers to the distance the fluid must travel through the vessel. A longer vessel creates more resistance to flow than a shorter one, resulting in greater flow resistance.
The radius of the vessel refers to the size of the vessel. A smaller radius vessel creates more resistance to flow than a larger one, resulting in greater flow resistance. This is due to the fact that as the radius of the vessel decreases, the amount of fluid in contact with the vessel wall increases, creating more frictional forces and thus greater resistance to flow.
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you have a mechanical wave that has the crest of the wave passing by a point in space. for every 10.5 seconds in time the crest will pass through that point 6 times. what is the period of that wave
When a golfer tees off, the head of her golf club which has a mass of 280 g is traveling 58 m/s just before it strikes a 46-g golf ball at rest on a tee. Immediately after the collision, the club head continues to travel in the same direction but at a reduced speed of 51 m/s. Neglect the mass of the club handle and determine the speed of the golf ball just after impact.
The speed of the golf ball after impact can be determined using the law of conservation of momentum. The speed of the golf ball after impact is 30.3 m/s.
What is speed ?Speed is a measure of the rate of motion or action, or the rate at which something moves. It is a scalar quantity that refers to the magnitude of velocity, which is the rate and direction of a body's movement. Speed is the rate at which an object covers a certain distance in a given amount of time. It is used to measure the distance traveled by an object in a given amount of time.
According to this law, the total momentum of an isolated system (in this case, the club head and golf ball) remains constant. Therefore, the momentum of the system before the collision (m₁v₁) must equal the momentum of the system after the collision (m₂v₂).In this problem, the mass of the club head is m₁= 280 g and its velocity before the collision is v₁= 58 m/s. The mass of the golf ball is m₂ = 46 g and its velocity after the collision is v₂ = ?. Using the law of conservation of momentum, we can set up the following equation: m₁v₁ = m₂v₂
[tex]280 g \times 58 m/s = 46 g \times v_2\\v_2 = 30.3 m/s[/tex]
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black holes that are stellar remnants can be found by searching for question 14 options: dark regions at the centers of galaxies. variable x-ray sources. extremely luminous infrared objects. objects that emit very faint radio emission.
However, dark regions at the centers of galaxies are not necessarily indicative of black holes, as they may also be caused by dust or other obscuring material.
Black holes that are stellar remnants can be found by searching for variable x-ray sources. As matter falls into a black hole, it releases a tremendous amount of energy in the form of radiation, including x-rays. Therefore, black holes that are actively feeding on nearby matter can be detected as variable x-ray sources. However, black holes that are not actively accreting matter can be difficult to detect. They may be inferred by their gravitational influence on nearby objects or by their effect on the motion of stars in a galaxy. They may also be found by searching for extremely luminous infrared objects or objects that emit very faint radio emission, as these can be indicative of the presence of a black hole. However, dark regions at the centers of galaxies are not necessarily indicative of black holes, as they may also be caused by dust or other obscuring material.
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A force of 10 N is applied horizontally to a 2 kg object on a level surface. The coefficient of kinetic friction between the object and the surface is 0.20. If the object is moved a distance of 10 m, what is the change in kinetic energy?
The change in kinetic energy is 60.76 J.
The work done by the applied force is:
W = Fd cos(theta)
where F is the applied force, d is the distance moved, and theta is the angle between the force and the displacement. In this case, the force is horizontal and the displacement is also horizontal, so theta = 0 degrees and cos(theta) = 1.
W = (10 N)(10 m)(1) = 100 J
The work done by friction is:
W_friction = -f_k * N * d
where f_k is the coefficient of kinetic friction, N is the normal force, and d is the distance moved. The normal force is equal to the weight of the object, which is mg = (2 kg)(9.81 m/s^2) = 19.62 N.
W_friction = -(0.20)(19.62 N)(10 m) = -39.24 J
The net work done on the object is the sum of the work done by the applied force and the work done by friction:
W_net = W + W_friction = 100 J - 39.24 J = 60.76 J
The change in kinetic energy is equal to the net work done:
ΔK = W_net = 60.76 J
Therefore, the change in kinetic energy is 60.76 J.
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When tunning the temperature exercise to determine thermal death time and thermal death point one runs a control the control allows a comparison of the percentage of death of the cells from the heat exposure compared to normal growth without exposure to heat True or False
True. When tunning the temperature exercise to determine thermal death time and thermal death point one runs a control the control allows a comparison of the percentage of death of the cells from the heat exposure compared to normal growth without exposure to heat
Define thermal death time
The concept of thermal death time tells us how long it takes to kill a particular bacterium at a particular temperature. It was initially created for food canning but has since found use in cosmetics and the manufacture of animal feeds (such as chicken and pharmaceuticals) free of salmonella.
The phrase "thermal death point" describes the lowest temperature at which a population of a specific microorganism perishes within ten minutes. In a 10-minute exposure at this TDP, all microbes are eliminated. TDP is one metric for calculating the thermal death of microorganisms. When boiling water to purify it, TDP is a crucial measurement.
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What happens when the rest of the container is filled with water? mercury is denser than steel, and both are denser than water. Mercury and water do not mix.
When the rest of the container is filled with water, the mercury will sink to the bottom due to its higher density compared to water. The steel will also sink to the bottom as it is denser than water but less dense than mercury.
The mercury and water will not mix as they are immiscible, meaning they do not form a homogeneous mixture. Instead, the mercury will form a separate layer at the bottom of the container, with the water occupying the rest of the space above it. It is important to note that mercury is a toxic substance and should be handled with care to avoid any harm to human health and the environment.
the rest of a container is filled with water, given that mercury and steel are present and both are denser than water, and mercury and water do not mix.
When the rest of the container is filled with water, the mercury, being denser than both water and steel, will sink to the bottom of the container. The steel, being denser than water but less dense than mercury, will float on top of the mercury layer.
Finally, the water, being the least dense, will form a layer on top of the steel. In summary, the container will have three distinct layers: mercury at the bottom, steel in the middle, and water on top.
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an infinite strip of metal with a width w and a negligible thickness carries a total current i. find the intensity of the magnetic field at point p located at a distance d directly above the center line of the strip.
The magnetic field intensity at point P due to an infinite strip of metal carrying a current i can be calculated using the Biot-Savart law. The magnetic field is directly proportional to the current and width of the strip, and inversely proportional to the distance between the strip and the point P.
To find the intensity of the magnetic field at point P located at a distance d directly above the center line of the strip, we can use the Biot-Savart law. The law states that the magnetic field at a point due to a current-carrying conductor is proportional to the current, the length of the conductor, and the sine of the angle between the conductor and the line joining the point to the conductor.
Considering the infinite strip of metal with current i, we can assume that the current is uniformly distributed across the width of the strip, and the magnetic field lines are parallel to the center line of the strip. Therefore, we can assume that the magnetic field at point P is perpendicular to the plane of the strip.
Let's consider a small segment of the strip of width dx at a distance x from the centerline. The current through this segment is given by i*dx/w. The magnetic field at point P due to this segment is given by:
[tex]$dB = \frac{\mu_0}{4\pi} \cdot \frac{i\cdot dx}{w} \cdot \frac{\sin\theta}{d}$[/tex]
where μ0 is the permeability of free space, θ is the angle between the segment and the line joining the segment to point P, and d is the distance between the segment and point P.
Since the magnetic field is perpendicular to the plane of the strip, the angle θ is 90 degrees. Therefore, sinθ = 1, and the expression simplifies to:
[tex]$dB = \frac{\mu_0}{4\pi} \cdot \frac{i\cdot dx}{wd}$[/tex]
The total magnetic field at point P due to the entire strip is the sum of the magnetic field contributions from all the small segments of width dx:
[tex]$B = \int_{-\frac{w}{2}}^{\frac{w}{2}} dB = \frac{\mu_0}{4\pi} \cdot \frac{i}{wd} \int_{-\frac{w}{2}}^{\frac{w}{2}} dx = \frac{\mu_0}{4\pi} \cdot \frac{i}{wd} \cdot w$[/tex]
Hence, the intensity of the magnetic field at point P located at a distance d directly above the center line of the strip is given by:
[tex]$B = \frac{\mu_0}{4\pi} \cdot \frac{i}{wd} \cdot w$[/tex]
This equation shows that the magnetic field is directly proportional to the current i, the width of the strip w, and inversely proportional to the distance d between the strip and point P.
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You measure the parallax angle for a star to be 0. 5 arcseconds. The distance to this star is:.
the distance to the star is 2 parsecs.
The distance to a star can be calculated from its parallax angle using the formula:
distance (in parsecs) = 1 / parallax angle (in arcseconds)
If the parallax angle of a star is measured to be 0.5 arcseconds, the distance to the star can be calculated as:
distance = 1 / 0.5 = 2 parsecs
what is star?
A star is a massive, luminous ball of gas that is held together by its own gravity and emits energy, including light, in the form of radiation. Stars are the basic building blocks of galaxies, and they are responsible for most of the visible light and heat in the universe.
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you place your lunch leftovers in the refrigerator. suppose the refrigerator needs to remove e 4 j of thermal energy from your lunch to cool it to the temperature of the inside of the refrigerator. in the meantime, this means the refrigerator produces 4 j of thermal energy that it expels into the kitchen as a result. what is the total work done by the compressor motor in the refrigerator? (ignore any thermal loses due to friction in the motor.)
The total work done by the compressor motor in the refrigerator is 8 Joules.
You placed your lunch leftovers in the refrigerator, and it needs to remove 4 joules (J) of thermal energy from the lunch to cool it to the inside temperature.
Simultaneously, the refrigerator produces 4 J of thermal energy that it expels into the kitchen. To determine the total work done by the compressor motor in the refrigerator, follow these steps:
Step 1: Understand the energy conservation principle.
The refrigerator works based on the principle of energy conservation. The energy that is removed from your lunch is not destroyed but transferred to another form, which is the thermal energy expelled into the kitchen.
Step 2: Calculate the total energy.
Since the refrigerator removes 4 J of thermal energy from your lunch and generates 4 J of thermal energy expelled into the kitchen, the total energy involved is the sum of these two values.
Total Energy = Energy removed from lunch + Energy expelled into the kitchen
Total Energy = 4 J + 4 J
Total Energy = 8 J
Step 3: Determine the work done by the compressor motor.
The work done by the compressor motor is equal to the total energy involved in the process, as there are no thermal losses due to friction in the motor.
Total Work Done = Total Energy
Total Work Done = 8 J
So, the total work done by the compressor motor in the refrigerator is 8 Joules.
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57) An ideal Carnot engine operates between a high temperature reservoir at and a river with water at If it absorbs of heat each cycle, how much work per cycle does it perform?
A) 1642 J
B) 2358 J
C) 1483 J
D) 2517 J
D) 2517 J. we can solve for the work done: W = Qh - Qc = 4000 J - 1520 J = 2480 J. Therefore, the work performed per cycle by the Carnot engine is approximately 2517 J.
The work performed by an ideal Carnot engine is given by the equation W = Qh - Qc, where Qh is the heat absorbed from the high-temperature reservoir and Qc is the heat released to the low-temperature reservoir. The efficiency of a Carnot engine is given by the equation e = 1 - (Tc/Th), where Th is the temperature of the high-temperature reservoir and Tc is the temperature of the low-temperature reservoir. In this case, the efficiency of the Carnot engine can be calculated as e = 1 - (293 K / 773 K) = 0.62. The heat absorbed by the engine is Qh = 4000 J, so the heat released to the river is Qc = Qh - W = 4000 J - W. Using the efficiency equation, we can solve for the heat released: Qc = Qh - Qhe = Qh(1-e) = 4000 J*(1-0.62) = 1520 J.
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does a strong lens (high power) have a long or short focal length? short. what are the power and focal length of a thin, flat piece of glass with no curvature?
The strong lens, which has a high power, has a short focal length. A thin, flat piece of glass with no curvature has a power of zero and an infinite focal length.
The power of a lens is defined as the reciprocal of its focal length, measured in meters, and is expressed in diopters (D). The higher the power of a lens, the stronger it is, and the shorter its focal length.
A strong lens has a high power, which means that it can bend light rays to a greater extent than a weaker lens. As a result, a strong lens has a shorter focal length than a weaker lens.
On the other hand, a thin, flat piece of glass with no curvature has no power, and therefore, no focal length. This is because the glass does not bend or refract light, and as a result, the light passing through it does not converge or diverge. I
n other words, the glass has no effect on the path of light rays passing through it, and they continue to travel in a straight line.
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When do pi shifts occur in thin film?
Pi shifts in thin film occur when the wavelength of the light being reflected off the film changes.
What is wavelength ?Wavelength is a measurement of the distance between successive wave crests of a wave, such as sound or light. It is typically measured in meters, though it may also be measured in centimeters, millimeters, nanometers, or even angstroms. Wavelengths of sound are usually measured in meters, and the range of audible frequencies is from 20 Hz to 20 kHz. Wavelengths of light are typically measured in nanometers, and the visible spectrum of light ranges from 380 nm to 740 nm.
This happens due to changes in the refractive index of the film caused by the application of an external electric field. This change in refractive index causes the light to take a different path and the wavelength of the light to shift, resulting in a shift in the reflected light spectrum. This phenomenon is known as a pi shift.
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a concave lens refracts parallel rays in such a way that they are bent away from the axis of the lens. for this reason, a concave lens is referred to as a diverging lens.
T/F
False. A concave lens refracts parallel rays in such a way that they are bent towards the axis of the lens, making it a converging lens.
What is concave lens?A concave lens is a lens that has a curved surface that is curved inward, like the inside of a bowl. It is also known as a negative or diverging lens. Light that passes through a concave lens is spread out, or diverged, which causes the image to appear smaller than the actual object. Concave lenses are commonly used in eyeglasses and are used to correct nearsightedness, or myopia. They can also be used in projectors and cameras to focus light and create a sharper image.
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find the kinetic energy k of a satellite with mass m in a circular orbit with radius r . express your answer in terms of m , m , g , and r . activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type k
K ⇒ GMm/2r is the kinetic energy k of a satellite with mass m in a circular orbit with radius r
Define kinetic energy
The energy of motion, or kinetic energy, can be seen in the movement of an item or subatomic particle. Kinetic energy is present in every moving object and particle. Kinetic energy is present when something moves, such as a person walking, a baseball soaring through the air, a piece of food dropping from a table, or a charged particle in an electric field.
Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.
K ⇒ 1/2mv^2
v^2 ⇒GM/r
K ⇒ GMm/2r
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If this bubble is illuminated perpendicularly with sunlight, what wavelength of visible light will be absent in the reflected light? assume that the index of refraction of the soap film is 1. 33.
When a soap bubble is illuminated perpendicularly with sunlight, the wavelength of visible light that will be absent in the reflected light depends on the thickness of the soap film.
In general, when light reflects off a thin film, interference occurs between the light waves reflecting off the front and back surfaces of the film. If the thickness of the film is an integer multiple of half the wavelength of a particular color of light, destructive interference occurs for that color and it is absent in the reflected light.
Assuming the index of refraction of the soap film is 1.33, the thickness of the film necessary for destructive interference of a particular color can be calculated using the equation t = (m + 1/2)λ/n.
Where t is the thickness of the film, m is an integer representing the number of half-wavelengths in the film, λ is the wavelength of the color, and n is the index of refraction of the film.
To determine which color of visible light will be absent in the reflected light, we would need to know the thickness of the soap film.
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If the wire has a diameter of 0. 2 in. , determine the distributed load w if the end b is displaced 0. 25 in. Downward.
The distributed load w can be calculated using the following equation therefore, w is 6.283 lb/in.
What is diameter ?Diameter is a straight line passing through the center of a circle, or any two points on a curve that are equidistant from its center. It is a measurement of distance, typically expressed in units of length such as inches or centimeters. The diameter of a circle can be found by dividing its circumference (the measurement of the length around the circle) by pi, or 3.14. The diameter of a circle is also its longest chord (straight line connecting two points on the circle).
If the wire has a diameter of 0. 2 in. , the distributed load w is 6.283 lb/in if the end b is displaced 0. 25 in.
The distributed load w can be calculated using the following equation= (displacement at end b) / ([tex]}\pi\times(diameter of wire)^2/4}[/tex]).
Therefore, w = (0.25 in. / ([tex]\pi \times (0.2 in.)^{2/4[/tex])) = 6.283 lb/in.
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suppose 24 blackberry plants started growing in a yard. absent constraint, the number of blackberry plants will increase continuously at a monthly rate of 85%. if the yard can only sustain 150 plants, use a logistic growth model to estimate the number of plants after 3 months.
According to the question of logistic growth, the number of plants after 3 months is 129.9 plants.
What is logistic growth?Logistic growth is a type of population growth model that follows a sigmoidal curve, often referred to as the logistic curve, which is a shape that is S-shaped and has two asymptotes.
The logistic growth model is given by the equation P(t) = K/(1 + Ae^(-rt)), where P(t) is the population at time t, K is the carrying capacity, and A and r are parameters.
In this case, the carrying capacity is 150 plants since the yard can only sustain 150 plants. We can estimate the parameters A and r by using the initial condition P(0) = 24 plants and the rate of growth of 85% per month.
Letting P(1) = 24(1.85) = 44.4 plants, we can solve for A and r by plugging in the values into the logistic growth equation. Solving for A and r gives us A = 0.0463 and r = 0.1745.
Therefore, the logistic growth equation for this case is P(t) = 150/(1 + 0.0463e^(-0.1745t)), and the number of plants after 3 months is P(3) = 150/(1 + 0.0463e^(-0.1745×3)) = 129.9 plants.
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A karate expert executes a swift blow and breaks a cement block with her bare hand. The magnitude of the force on her hand is
zero.
A. less than the force applied to the cement block.
B. the same as the force applied to the block.
C. more than the force applied to the block.
D. need more information
The answer is B. The magnitude of the force on the karate expert's hand is the same as the force applied to the cement block. This is due to Newton's Third Law of Motion which states that for every action, there is an equal and opposite reaction.
In this case, the force applied by the karate expert's hand on the cement block is met with an equal force applied by the cement block on the karate expert's hand. Therefore, the force on her hand is the same as the force applied to the block.
It is important to note that the karate expert's hand is able to break the cement block because the force is concentrated in a small area, allowing for greater pressure. This is known as pressure force and is calculated by dividing the force applied by the area over which it is applied. The karate expert's hand is able to generate enough pressure to break the cement block due to her expertise and training in karate techniques.
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What is a large celestial body that is composed of gas and emits light?.
If the mass of an object is halved and its speed doubled, its momentum will __________.
halve
not change
double
increase by a factor of 4
If the mass of an object is halved and its speed doubled, its momentum will Remain the same.
What is momentum ?Momentum is a physical concept that describes the motion of an object. It is a measure of an object's inertia, or its resistance to a change in its velocity. Momentum is a vector quantity, meaning it has both magnitude and direction. The momentum of an object is equal to its mass multiplied by its velocity. Momentum is conserved in closed systems, meaning that the total momentum of a system remains constant unless an external force acts on it. This means that objects in motion will tend to stay in motion and objects at rest will tend to stay at rest unless acted upon by an external force. Momentum is an important concept in Newtonian mechanics, and it is used to describe the motion of objects in a wide range of situations.
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Aliens created our universe in a lab, scientist suggests.
The idea that our universe could have been created by aliens in a lab is a hypothesis that has been proposed by some scientists and philosophers.
This idea is known as the "simulation hypothesis" or the "simulation theory," and it suggests that our reality is a computer-generated simulation created by an advanced civilization.
Proponents of this hypothesis argue that the rapid advancement of computer technology and the exponential growth of computing power could make it possible for an advanced civilization to simulate an entire universe. They also point out that the laws of physics and the fundamental constants of the universe seem to be finely tuned for life, which could be an indication that our universe was designed by an intelligent entity.
However, this idea is still a matter of speculation and debate, and there is currently no scientific evidence to support the claim that our universe was created by aliens in a lab. While it is interesting to consider the possibility, it is important to rely on scientific evidence and the scientific method to explore and understand the workings of the universe.
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