A 175 g glider on a horizontal, frictionless air track is attached to a fixed ideal spring with force constant 155 n/m. At the instant you make measurements on the glider, it is moving at 0. 815 m/s and is 3. 00 cm from its equilibrium point. Use energy conservation to find (a) the amplitude of the motion and (b) the maximum speed of the glider. (c) what is the angular frequency of the oscillations?.

Answers

Answer 1

The maximum speed of the glider v = 4.75 m/s. the amplitude of the motion 2.12 cm. the angular frequency of the oscillations is approximately 2.86 rad/s.

To find the amplitude of the motion, we can use the equation for the potential energy of a spring:

Potential Energy = (1/2) * k * x^2

where k is the force constant of the spring, x is the displacement of the glider from its equilibrium point, and Potential Energy is the potential energy of the spring.

In this case, the force constant of the spring is 155 n/m, the displacement of the glider from its equilibrium point is 3.00 cm, and the potential energy of the spring is unknown. Plugging these values into the equation above, we get:

Potential Energy = (1/2) * 155 n/m * (3.00 cm)^2

This simplifies to:

Potential Energy = (1/2) * 155 n/m * 9.00 cm^2

This further simplifies to:

Potential Energy = 693.5 n cm

The potential energy of the spring is equal to the kinetic energy of the glider, so we can use the equation for kinetic energy to solve for the maximum speed of the glider:

Kinetic Energy = (1/2) * m * v^2

where m is the mass of the glider and v is its speed.

In this case, the mass of the glider is 175 g, and its speed is unknown. Plugging these values into the equation above, we get:

(1/2) * 175 g * v^2 = 693.5 n cm

This simplifies to:

v^2 = 693.5 n cm / (1/2) * 175 g

This further simplifies to:

v^2 = 3960.7 g cm / 175 g

This simplifies to:

v^2 = 22.60 g cm

To find the maximum speed of the glider, we can take the square root of both sides of the equation:

v = √(22.60 g cm)

This simplifies to:

v = 4.75 m/s

To find the angular frequency of the oscillations, we can use the equation:

ω = √(k/m)

where ω is the angular frequency, k is the force constant of the spring, and m is the mass of the glider.

In this case, the force constant of the spring is 155 n/m, and the mass of the glider is 175 g. Plugging these values into the equation above, we get:

ω = √(155 n/m / 175 g)

This simplifies to:

ω = 2.86 rad/s

we can use the equation for kinetic energy to find the amplitude of the motion:

Kinetic Energy = (1/2) * m * v^2

where m is the mass of the glider and v is its maximum speed.

In this case, the mass of the glider is 175 g, and its maximum speed is 4.75 m/s. Plugging these values into the equation above, we get:

(1/2) * 175 g * (4.75 m/s)^2 = 693.5 n cm

This simplifies to:

(1/2) * 175 g * 22.60 g cm = 693.5 n cm

To find the amplitude of the motion, we can solve for x:

x^2 = 693.5 n cm / (1/2) * 155 n/m

This simplifies to:

x^2 = 4.5 cm^2

To find the amplitude of the motion, we can take the square root of both sides of the equation:

x = √(4.5 cm^2)

This simplifies to:

x = 2.12 cm

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Java programs are called java development kit.

The Java programming language class and object oriented language, one that aims to have as few implementation dependencies as feasible. Because it is a general-purpose language, compiled Java code can run on any platforms that accept Java without the need to recompile. This is known as writing once, running anywhere. without regarding the underlying computer architecture, Java applications are often  run on any Java virtual machine (JVM). Although Java has fewer low-level features than either C or C++, it has syntax that is similar to each of them.

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Effects of Surface Gravity, to see what someone would weigh on different planets.

If you weighed 110 pounds on Earth, you would weigh how many pounds
on Mercury.

Answers

The measure of your weight on mercury is 41.5 pounds.

What is the value of your mass?

The value of your mass is the same on both planets because mass does not change with gravity while weight changes with gravity.

The weight of an object is the measure of gravitational pull on the object.

W = 110 pounds = 489.3 N

The value of the mass is calculated as;

m = W /g

where;

g is acceleration due to gravity on earth

m = ( 489.3 N ) / (9.8 m/s²)

m = 49.9 kg

The measure of your weight on mercury is calculated as follows;

W = mg

where;

g is acceleration due to gravity on mercury = 3.7 m/s²

W = 49.9 x 3.7
W = 184.7 N = 41.5 pounds

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Is carbon dioxide required for the maintenance of life?

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All life on earth originates from carbon dioxide, which is why carbon dioxide is necessary for the sustenance of life.

Does life require carbon dioxide to survive?

Carbon dioxide is required for the internal respiration of a human body. Internal respiration is the mechanism through which oxygen and carbon dioxide are given to and eliminated from human tissues. Carbon dioxide, which is vital for survival, shields the blood's pH.

Can people survive without oxygen?

Without CO2, plants would die out and the biological food cycle on earth would be irreparably damaged. We cannot survive without CO2. However, because it traps heat, increased CO2 levels are now contributing to climate change.

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What are the similarities and differences between solar and wind energy?

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Solar energy is less effective than wind energy. The atmosphere receives less CO2 from wind turbines. Solar panels emit 70 grams of CO2 per hour, compared to 4.64 grams per hour from wind turbines.

What are the parallels between solar and wind energy?

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How do wind energy and wind power differ from one another?

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a 900 kg van is traveling at a constant speed of 1.51 m/s due north. what is the total force (in n) on the vehicle? (assume north is the positive direction. indicate the direction with the sign of your answer.)

Answers

The vehicle is being acted upon by a total force of 0 N when a 900 kg van is traveling at a constant speed of 1.51 m/s due north.

Due to that,

SUV weighs 900 kg.

1.51 m/s is the speed.

SUV is moving northward at a constant pace of 1.51 m/s.

We must compute the force acting on the vehicle.

F = ma

according to Newton's second law (I)

We are aware that the acceleration is the particle's velocity's first derivative.

a = dv / dt

Now, alter equation (I) F = m*dv / dt to reflect the value of a.

Since the SUV is moving at a constant pace, there is no acceleration.

Thus, there will be no force.

As a result, there is no net force exerting on the vehicle.

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A student is comparing four different types of cells and observes that one contains many more mitochondria than the others. The student should conclude that the cell with the greatest number of mitochondria is most likely which of the following? O Epidermal cell
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Answer:

muscle cell

Explanation:

FILL IN THE BLANK. the heat that is felt from a hot object is called ________ radiation.

Answers

The heat that is felt from a hot object is called infrared radiation.

infrared radiation is the section of the electromagnetic spectrum that extends from the long wavelength end means from red to the microwave range. it can be detected as a sensation of warmth on the skin.

Infrared is electromagnetic radiation which has wavelengths longer than wavelength of visible light. For this reason it is invisible to the human eye.

The fire and sun are two examples of  infrared radiation.

Infrared radiation is a spectrum of frequencies that is generated when atoms acquire and release energy. Electromagnetic radiation includes all these radiations:  gamma, X-rays, visible, ultraviolet, infrared, radio waves, and microwave.

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How long will it take for 50% of a sample of 131 I to decay?

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A radioisotope with an 8-day half-life is iodine-131. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have half of its atoms destroyed after eight days.

How long does it take an isotope to degrade by 50%?

The half-life is the length of time it takes for an isotope to decay from a given amount by half. For instance, carbon-14 has a 5,730-year half-life. Assume you begin with 100 grams of carbon-14. Half of it decays in 5,730 years.

How much of an iodine 131 sample is still there after 30 days?

The half-life of this isotope is 8.04 days. What portion of a 13153I original sample is still present after 30.0 days? We desire the proportion of7.53% of the initial sample is still present after 30 days, or, to put it another way, we want the ratio N(30 days)/No.

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a tug-of-war that results in one team pulling the other across the line is an example of

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A tug-of-war that results in one team pulling the other across the line is an example of reaction force.

What is reaction force?

A reaction force  can be described as the consequence of an action force which is opposite in direction.

It should be noted that the  Newton's third law of motion is the one that deals with these two forces, which  can be considered as the action and reaction forces however the Newton's third law made us to understand that for every action, there is an equal and opposite reaction, hence the case above can be seen as an example of reaction force.

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A net force of 12 N is exerted on a box to cause it to accelerate at a rate 4 m/s2 . Determine the mass of the box?

Answers

Answer:

3.0 kg

Explanation:

F = ma

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only some of the people on the daytime side of earth can witness a solar eclipse when it occurs, whereas all the people on the nighttime side of earth can witness a lunar eclipse when it occurs. why is this so?

Answers

Answer:

Because the earth is much bigger than the  sun

For a lunar eclipse to occur, the moon is in the shadow of the earth, (the earth is between the sun and the moon).

For a solar eclipse to occur the moon is between the earth and the sun.

The shadow of the earth will be much larger than the shadow of the moon - the lunar eclipse will be much more extensive, in size, than the solar eclipse.

A team of furniture movers wishes to load a truck using a ramp from the ground to the rear of the truck. One of the movers claims that less work would be required to load the truck if the length of the ramp were increased, reducing the angle with respect to the horizontal. Is his claim valid? Explain.

Answers

Answer:

Yes, his claim is valid

Explanation:

mechanical advantage of an inclined plane = IMA = L/h

By lengthening L, you increase the IMA.

Also, IMA = Output force / Input force

Input force is less on a "shallow" inclined plane.  Work = Fd, so if F is lower, Work is lower.  The height (d) doesn't change, just the length of the ramp and the angle of the ramp.  

a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?

Answers

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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Does it require more force to start an object sliding or to keep it sliding?

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interesting to note that more effort is needed to start an object moving than to keep it moving since the static coefficients of sliding friction is higher than the kinetic coefficient.

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You've probably noticed that moving heavier objects requires more force or a push. The inertia of heavier items is greater. Greater inertia makes it more difficult for an object to start moving, stay in the same place, or change directions.

How come sliding is quicker than rolling?

The sliding object travels to a bottom of track quicker because it has a higher linear velocity than the rolling object because it has no rotational velocity

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How genetic factors affect health?

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The likelihood of having a kid with a birth defect, a developmental disability, or a condition like cancer or heart disease has been linked to several genetic abnormalities. We can better grasp how medical disorders develop thanks to genetics.

How do hereditary characteristics impact people's health and the general public's?

The interplay between inherited gene variations and environmental factors, such as chemicals, physical factors, infectious agents, behavioral or nutritional factors, result in risks for nearly all human diseases.

How can genetics impact how you live your life?

Additionally, genes can raise a family's risk of contracting specific diseases. Families share environments, diets, and routines. These have an impact on our long-term health. Your family learns a lot about you, including what can make you ill.

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Is equal to the product of wavelength and its frequency v ΛF?

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Yes, the relationship between wavelength (Λ) and frequency (F) is given by the equation v = ΛF, where v is the wave speed (in m/s).
What is wavelentgh?
Wavelength is the distance between two successive peaks or troughs of a wave, such as light, sound, or other forms of energy. It is measured in meters or nanometers and is related to the frequency of the wave, as the frequency is inversely proportional to the wavelength. Wavelength can also be used to describe the physical size of an object, such as a particle or cell.
This equation states that the product of wavelength and its frequency is equal to the wave speed. The equation is also known as the wave equation and is applicable to all types of waves, including electromagnetic, sound, and seismic waves.
The equation is derived from the fact that the wave's speed is the product of its wavelength and its frequency. Wavelength is the distance between two successive wave peaks and frequency is the number of wave peaks that pass a certain point per second. Therefore, if the wavelength is shorter and the frequency is higher, the wave's speed is higher.
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if megans 454.5 kg car drives off a 100.0 m tall cliff with a horizontal velocity of 8.25m/s, where will the car land

Answers

If megans 454.5 kg car drives off a 100.0 m tall cliff with a horizontal velocity of 8.25m/s the car will land 37.1 m from the edge of the cliff.

To determine where Megan's car will land after driving off a 100.0 m tall cliff, you will need to consider the horizontal velocity of the car, the time it takes for the car to fall, and the acceleration due to gravity.

The horizontal velocity of the car will not affect the landing point, as it is a horizontal velocity and will not affect the vertical displacement of the car.

To determine the time it takes for the car to fall, you can use the equation:

t = sqrt(2*h/g)

where t is the time it takes for the car to fall, h is the height of the cliff (100.0 m in this case), and g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the values, you get:

t = sqrt(2*100.0 m/9.8 m/s^2)

t = sqrt(20.4)

t = 4.5 s

To determine the distance the car will travel horizontally in this time, you can use the equation:

d = v * t

where d is the distance traveled, v is the horizontal velocity (8.25 m/s in this case), and t is the time it takes for the car to fall (4.5 s in this case).

Plugging in the values, you get:

d = 8.25 m/s * 4.5 s

d = 37.1 m

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When stars are moving away from a telescope, what shade do they appear to be compared to the normal light they emit?

Answers

Answer:

Redder-Blue

Explanation:

A student is studying the Periodic Table. The student has been asked to place all of the nonmetals on the same side of
the chart. The student notices that the arrangement of the Periodic Table already has the nonmetals grouped together,
except one. In order to put all of the nonmetals on the same side, the student should relocate one element on the Periodic
Table. Which element should be relocated and in which direction?
4x A Helium should be moved to the left on the Periodic Table,
4x B
4x
Hydrogen should be moved to the right on the Periodic Table,
C Hydrogen should be moved down its family on the Periodic Table,
D
Helium should be moved down its family on the Periodic Table.
Next

Answers

Answer:

A is the right answer

Explanation:

mark me as a

Answer: B) Hydrogen should be moved to the right on the Periodic Table.

The graph shows the angular velocity 0; and angular acceleration a, versus time for a rotating body. At which of the following times is the rotation slowing down? A. t=1s B.1=2 s Cr=35 D. =4s E. 1= 5 s

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A spinning body's angular acceleration and velocity are shown against time in the graph. The rotation is slackening at t=3s.

Formula for Angular Acceleration The rate at which the angular location of a spinning body changes is known as its angular velocity and is denoted by the formula:  ω = θ t . ω  = Angular Velocity is used here.  θ = Rotated Angle. t = Duration. The angular acceleration is zero when the angular velocity is constant. If you are unable to utilize calculus, you may determine the angular velocity by looking at the area under the graph of angular acceleration over time. Angular Speed. Consider a body that is rotating about a fixed axis. The body gradually alters its angle after that.

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A planet orbits a star in the path shown in the figure. The planet's mass is much smaller than the star's mass. Which two of the following claims are correct about the accelerations associated with the planet, star, and planet-star system? Select two answers. Justify your selections. A .Both the planet and the star accelerate, because each object exerts a force on the other object. B. Only the planet accelerates, because a force is exerted on the planet but not on the star. C. The center of mass of the planet-star system accelerates, because the planet and star exert forces on each other. D. The center of mass of the planet-star system does not accelerate, because there is no net force exerted on the system.

Answers

The correct claims about the accelerations associated with the planet, star, and planet-star system are

A. Both the planet and the star accelerate because each object exerts a force on the other object.

D. The center of mass of the planet-star system does not accelerate, because there is no net force exerted on the system.

Thus, the correct answers are A and D.

What is the planetary system?

А plаnetаry system is а set of grаvitаtionаlly bound non-stellаr objects in orbit аround а stаr or stаr system. Generаlly speаking, plаnetаry systems describe systems with one or more plаnets, аlthough such systems mаy аlso consist of bodies such аs dwаrf plаnets, аsteroids, nаturаl sаtellites, meteoroids, comets аnd plаnetesimаls аs well аs discernаble feаtures including circumstellаr disks. The Sun together with its plаnetаry system, which includes Eаrth, is known аs the Solаr System.

Grаvity is а force thаt objects exert on eаch other becаuse of their respective mаsses. Аn object dropped neаr Eаrth’s surfаce fаlls to the ground becаuse it is pulled down by the force of grаvity thаt Eаrth exerts on the object. The sаme grаvitаtionаl pull exists between Eаrth аnd the Moon, between the Moon аnd the Sun, аnd between the Sun аnd eаch object in the universe. Even pаrticles of dust аnd gаs in spаce аre аttrаcted to eаch other; in fаct, thаt аttrаction is whаt helped form the solаr system.

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What volume of 0. 415 m silver nitrate will be required to precipitate as silver bromide all the bromide ion in 35. 0 ml of 0. 128 m calcium bromide?.

Answers

21.6ml volume of 0. 415 M silver nitrate will be required to precipitate as silver bromide all the bromide ion in 35.0ml of 0.128 M calcium bromide.

What is Molarity ?

Molarity is defined as the amount of solute (in moles)in per litre of solution. It is also known as molar concentration of a solution , It is expressed in mol/l .

M = n/V

(where n is the number of moles and V is the volume in litres.)

n = M * V

The molarity of calcium bromide is 0.128M and the volume given is 35 ml.

so, number of moles of calcium bromide is:

n = 0.128 * 35

= 4.48 millimoles

2AgNO₃(aq) + CaBr₂(aq) → 2AgBr(s) + Ca(NO₃)₂(aq)

For every 1 mole of calcium bromide, 2moles of silver nitrate is required, so for 4.48 millimoles of CaBr2, 8.96 millimoles of AgNO3 is needed.

Molarity of AgNO3 is given, 0.415 M and number of moles is 8.96 millimoles, so volume required is:

V = n/M

= 8.96/0.415

= 21.6 ml

Hence, the volume (in mL) of 0.415M silver nitrate required to precipitate as silver bromide is 21.6ml.

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100 Review Sheet 7 4. Label the integumentary structures and areas indicated in the diagram. 5. Label the layers of the epidermis in thick skin. Then, complete the statements that follow EUR a. Glands that respond to rising androgen levels are the glands are epidermal cells that play a role in the immune response. C Tactile corpuscles are located in the corpuscles are located deep in the dermis. What substance is manufactured in the skin and plays a role in calcium absorption elsewhere in the body

Answers

With the aid of sunshine, the skin produces vitamin D, which aids in the bones' ability to absorb calcium.

Increased intestinal absorption of calcium, magnesium, and phosphate is one of vitamin D's many biological effects. It is also one of a class of fat-soluble secosteroids. Vitamins D (cholecalciferol) and D2 are the most significant substances in this category in people (ergocalciferol).

The primary natural source of the vitamin is cholecalciferol production, which occurs in the lower layers of the epidermis of the skin as a result of a chemical process that is reliant on sun exposure (specifically UVB radiation).

The diet and supplements both contain cholecalciferol and ergocalciferol.  Vitamin D is only present in considerable concentrations in a select few meals, such the meat of fatty fish.  Cow's milk, plant-based milk replacements, and a lot of breakfast cereals are all vitamin D-fortified in the United States and other nations.

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What is the maximum speed of the ejected electrons?

Answers

The kineticE=(1/2)mv² equation can be used to determine the velocity of the expelled electron. You then enter the expelled electron's energy, which was provided to you in section a, and set it to equal 1/2 the electron's mass times v².

The discovery of the "photon," or the link between light's energy and frequency, was made possible in large part by the photoelectric effect. The photoelectric effect is simply the phenomenon whereby electrons can occasionally be expelled from a metal when light is shone onto it. We looked over a number of important facts in class.

1. No electrons are emitted unless appropriate frequency of light is employed. In other words, there is a point below which, regardless of how powerful the light source is, no electrons escape the metal.

2. If you are employing light with a high enough frequency, the quantity of electrons ejected grows as the light source's intensity (brightness) rises.

3. The velocity of the expelled electrons increases as the frequency is raised above the threshold.

This leads us to the conclusion that energy and frequency are proportionate, with Planck's constant serving as the proportionality constant.

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What is the relationship between solar energy and wind energy?

Answers

Solar energy known as wind is created as air moves in relation to the Earth's surface. This type of energy is produced by the uneven heating of the Earth's surface by the Sun and is influenced by the rotation of the planet and the topography of its surface.

What are the similarities between wind and solar energy?

In the field of renewable energy, wind and solar energy are major actors. They are free energy sources, limitless, and most of all, they reduce carbon emissions from fossil fuels.

What is the connection between electricity and wind?

By turning the kinetic energy of moving air into electrical, wind is used to generate power. Wind drives the rotor blades of contemporary wind turbines, which transform kinetic energy into rotational energy.

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_______ is a space where you can drive without restrictions to your line of sight or intended path of travel

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(An open zone) is a space where we can drive without restrictions to our line of sight or intended path of travel.

What is an open zone?

There are at least three types of zone we may encounter on the road, which are:

Open zone. The open zone provides a wide, larger open space to drive and we can drive without restriction. We are free to change lanes or move forward without conflict.Closed zone. This path is not available to drive due to some restriction or simply because the space is unavailable in a particular zone.Changing zone. This zone changes from an open to a closed zone. So we have to maintain specific speed limits, visibility, environmental conditions, etc while passing through.

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What is the inverse relationship between size of the wavelength frequency and energy?

Answers

The shorter the wavelengths and higher the frequency corresponds with greater energy. So the longer the wavelengths and lower the frequency results in lower energy. The energy equation is E = hν.

A wavelength's frequency and energy (E) drop as it gets longer. You may conclude from these equations that the wavelength gets shorter as the frequency rises. The wavelength lengthens as the frequency drops. The two main categories of waves are electromagnetic and mechanical. Frequency and Wavelength are mutually exclusive. The frequency and energy decrease as the wavelength increases. The frequency and energy increase with decreasing wavelength. Because the fraction decreases as the denominator increases, energy decreases as a result. As a result, the connection between energy and wavelength is inverse. These are the wavelength and energy frequency relationships.

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Answer:

Greater energy is correlated with shorter wavelengths and higher frequencies. Therefore, lower energy is produced by longer wavelengths and lower frequencies. E = hv is the energy equation.

Explanation:

As a wavelength lengthens, its frequency and energy (E) decrease. These calculations may lead you to the conclusion that as frequency increases, wavelength decreases. As the frequency decreases, the wavelength grows longer. Electromagnetic and mechanical waves fall into the two primary groups. Wavelength and Frequency cannot coexist. As the wavelength lengthens, the frequency and energy decrease. As the wavelength decreases, the frequency, and energy rise. Energy diminishes as a result of the proportion decreasing as the denominator rises. The relationship between energy and wavelength is therefore inverse. These are the correlations between energy frequency and wavelength.

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a string that is stretched between fixed supports separated by 75.0 cm has resonant frequencies of 420 and 315 hz, with no intermediate resonant frequencies.what are (a) the lowest resonant frequency and (b) the wave speed?

Answers

To get the resonant frequencies of a single cohesive wave, just use formula v = f.The wave velocity is denoted by the letter "v," while the wave's distance is denoted by the symbol "."

The length of the string:

L=75.0 cm=0.75 m

The two resonant frequencies:

450 Hz Λ 308 Hz

a) f1=142 Hzf1​=142 Hz

b)v=213 msv=213 sm​

What has the lowest frequency and lowest magnitude among the following?

Gamma rays often have the greatest frequency, while radio waves typically have the lowest.

Is the lowest frequency the first harmonic?

The fundamental frequency is the lowest frequency that can be produced by a certain instrument.A first harmonic of a instrument is another name for the fundamental frequency.

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What is the force when one object is sliding across another?

Answers

When two items are slipping by one another, it is abrasive. Sliding friction is the force that prevents motion as a simple result of the two surfaces rubbing against one another.

What is the force of sliding friction?

The force for friction force is inversely related to the weight while travelling in a plane parallel to the surface. In particular, the force would be equal to the weight of the object if the body was sliding across a horizontal surface. The sliding force first few of a normal force divided by the amount of sliding friction.

Does the amount of in contact surface have an impact on the sliding friction?

It depends on the pull of gravity and substance, both of which are important. Changes in the sliding friction are unaffected by

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rita accelerates a 0.40-kg ball from rest to 9.0 m/s during the 0.15 s in which her foot is in contactwith the ball. what average force does she apply to the ball during the kick?

Answers

Rita applies an average force of 24 Newton to the ball during the kick.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given that Rita accelerates a 0.40-kg ball from rest to 9.0 m/s during the 0.15 s.

The acceleration of the ball = change in speed / time interval

= ( final speed - initial speed) / time interval

= ( 9.0 m/s - 0 m/s)/0.15 s

= 60m/s^2.

Hence, according to Newton's 2nd law of motion:

The average force applied to the ball = mass × acceleration

= 0.40 kg × 60m/s^2.

= 24 Newton.

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