How much work is done on a box that is pushed 9 meters across a horizontal floor by a force of 3000N?

Answers

Answer 1

The amount of work done by a box that is pushed 9 meters across a horizontal floor by a force of 3000N is 27000J.

How to calculate work?

Work in physics refers to the measure of energy expended in moving an object; most commonly, force times distance.

It is said that no work is done if the object does not move. The work done on an object can be calculated by multiplying the force of the object by its distance as follows:

W = F × d

W = 3000N × 9m

Work done = 27,000J

Therefore, 27,000Joules is the work done on the box.

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Related Questions

An AP Physics student is attempting an FRQ problem. They arrive at the following expression for the total distance an object has traveled:

d = 2vh/g


All you know about the variables in this problem are their dimensions:

[v] = distance/time, [h] = distance, and [g] = distance/time^2.

Given this information, explain why the student’s answer must be wrong.

Answers

The student's answer is wrong because the unit of his answer is meter - seconds which is not unit of distance (meter).

Total distance traveled by an object

The total distance traveled by an object projected upward is calculated from third equation of motion a shown below.

Equation for the motion of the object

v² = u² - 2gh

where;

v is final velocityu is initial velocityg is acceleration due to gravity

at maximum height, the final velocity is zero, v = 0

0 = u² - 2gh

2gh = u²

h = u²/2g

The equation for the total distance an object has traveled during upward projection is "h = u²/2g".

Dimension of the student's answer;

d = (2vh)/g = (m/s x m) / (m/s²)  = (m²/s) / (m/s²) = m.s

Thus, the student's answer is wrong because the unit of his answer is meter - seconds which is not unit of distance (meter).

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A ray of light strikes a boundary between two transparent materials, and there is no transmitted ray, as shown in the figure. What can you conclude about the indices of refraction of these two materials

Answers

Answer:q

Explanation:

A 70 n force pulls a box straight up 5 m above the ground. How much work is done on the box?

Answers

The work done on the box is 350 Joule.

When is Work done on an object ?

Work is done on an object when the displacement of the object is not perpendicular to the direction of the applied force. The unit of Work is Joule (J)

Given that 70N force pulls a box straight up 5 m above the ground.

Work is the product of force F and the distance S. That is,

W = F x S

Where

Force F = 70 NDistance S = 5 m

Substitute the two parameters into the formula above

W = 70 x 5

W = 350 J

Therefore, the work done on the box is 350 Joule.

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Rosa pours a cup of boiling water into a pot of room-temperature water. According to the second law of thermodynamics, what will occur

Answers

Thermal energy from the room-temperature water will continuously flow to the boiling water.

The second law states, in a straightforward manner, that heat cannot naturally go "uphill." When a pan of boiling water and a pan of ice are in touch, the hot water cools and the ice melts and warms up.

THE FIRST LAW OF THERMODYNAMICSAdiabatic Process - is a procedure that is carried out without the system's heat content changing. Water is heated to a temperature of 1000C during the boiling process, making it an isothermal process. As steam, the excess heat leaves the system.

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7. A 0.5-kg puck is traveling at 3.0 m/s. It strikes a 1.0-kg puck, which is
stationary. The two pucks stick together. What is their final speed after
collision?
A. 1.0 m/s
OB. 2.0 m/s
OC. 2.5 m/s
OD.3.0 m/s
*
1 point

Answers

Answer:

A

Explanation:

m1vi1 + m2vi2 = (m1+m2)vf

(0.5×3) + (1×0) = (1 + 0.5)vf

1.5=1.5vf

therefore final speed/velocity is 1m/s

m = mass

vi = velocity initial

vf = velocity final

Thinking about planck's law, which star would give off the most orange light?

Answers

Thinking about Planck's law, the Red star would give off the most orange light.

According to Planck's Law, distinct atoms and molecules can emit or take in power in discrete portions simplest. The smallest amount of strength that can be emitted or absorbed inside the form of electromagnetic radiation is called quantum.

Planck's Law describes the quantity of spectral radiance at a particular wavelength radiated through a black body in equilibrium. The equation is E=hv.

The floor temperature of a celeb determines the color of mild it emits. Blue stars are warmer than yellow stars, which are hotter than red stars. The bright orange celebrity Arcturus is particularly noteworthy for its massive right motion, The color is a characteristic of their floor temperatures.

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A car is traveling north on a straight road at 20 mys and a drone is flying east at 6 mys at an elevation of 25 m. At one instant the drone passes directly over the car. How fast is the distance between the drone and the car changing 5 seconds later

Answers

The distance between the drone and the car will be 20,3 m/s.

What is average velocity?

In physics, velocity is a quantity that identifies the displacement of a body in a given time. Thus, the average velocity measures in an average time interval, the speed of displacement of a body.

With that being said, Suppose that both car and drone starts from 0 and move towards north and east, respectively. So, after T time:

Distance covered by the car, [tex]y = 20.T.m[/tex]

Distance cover by the drone, [tex]x = 6.T.m[/tex]

Considering the elevations of 25m, the actual distance between them at any T instant:

[tex]A = \sqrt{(20T)^{2} } + (6T)^{2} +25^{2}[/tex]

Speed, [tex]V = \frac{ds}{dt} = \frac{[2(20T).20+2(6T).8}{\sqrt{(20.5)^{2}+(6T)^{2}+25^{2} } }[/tex]

[tex]V = 20,3 m/s[/tex]

So, the distance between the drone and the car will be 20,3 m/s.

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Answer:

20.3 m/s

Explanation:

dx / dt = 20 m / s

dy / dt = 6 m / s

dj / dt = ? when t = 5 s

The trick here is that the drone is flying at an elevation of 25 m.

x^2 + y^2 = j^2

Implicit Differentiation: 2x dx / dt + 2y dy / dt = 2j dj / dt

We are not given x and y values. Solve by d = vt. Distance = velocity * time

x = 20(5) = 100 m

y = 6 (5) = 30 m

Now we need to solve for j, but we need to solve the hypotenuse z of the right triangle first.

z = [tex]\sqrt{(100)^2 + (30)^2[/tex] ≈ 104.4 m

A mistake occurs when z is used as the distance between the drone and the car. Visualize the distance between the drone and the car as the right triangle where j is the hypotenuse, z is the x value, and 25 m is the y value.

j = [tex]\sqrt{(104.4)^2+(25)^2[/tex] ≈ 107.35 m

dj / dt = 1 / 2(107.35)((4000 + 360)) ≈ 20.3 m/s

Is the star moving toward earth, away from earth, or is there not enough information provided to determine its motion?

Answers

If a star is moving towards Earth, shift towards the blue end of the spectrum, this is called blue shift. If the star is moving away from Earth the light from that star will be red and is called red shift .

The faster a star moves towards the earth, the more its light is shifted to higher frequencies. In contrast, if a star is moving away from the earth, its light is shifted to lower frequencies on the color spectrum

if a star is moving towards Earth, it appears to emit light that is shorter in wavelength compared to a source of light that isn't moving. Because shorter wavelengths correspond to a shift towards the blue end of the spectrum, this is called blue shift.

If the star is moving away from Earth, its light will lose energy to reach Earth, therefore the light from that star will be red and is called red shift

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Which meteorological parameter is expressed as the ratio between the air’s actual water vapor content and the amount of water vapor required for saturation at that temperature?

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Which meteorological parameter is expressed as the ratio between the air’s actual water vapour content and the amount of water vapour required for saturation at that temperature: relative humidity.

Water vapour is the primary form of atmospheric moisture. Although its storage in the atmosphere is comparatively small, water vapour is extremely important in forming the moisture supply for dew, frost, fog, clouds, and precipitation.

Water vapour is also the most important greenhouse gas in the atmosphere. Water vapour can be produced from the evaporation or boiling of liquid water or from the sublimation of ice.

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A 500.0 kg elevator is pulled upward with a constant force of 5500.0 N for a distance of 50.0 m. What is the work done by the 5500.0 N force on the elevator?
Group of answer choices

a. -2.45 x 105 J

b. -5.20 x 105 J

c. 2.75 x 105 J

d. 3.00 x 104 J

Answers

C. The work done by the 5500.0 N force on the elevator is 275,000 J.

Work done by the applied force

The work done by the 5500.0 N force on the elevator is calculated as follows;

W = Fd

where;

F is the applied forced is the displacement

W = 5500 x 50

W = 275,000 J

Thus, the work done by the 5500.0 N force on the elevator is 275,000 J.

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As a pendulum moves toward the equilibrium position, velocity and acceleration . As the pendulum moves away from the equilibrium position, velocity and acceleration . Velocity is at a when acceleration is zero.

Answers

Answer:

As a pendulum moves toward the equilibrium position, velocity increases and acceleration decreases. As the pendulum moves away from the equilibrium position, velocity decreases and acceleration increases.

Explanation:

Using the law of conservation of energy, we know that Em1=Em2.

Em1 (at the highest point) = Eg + Ek, where Ek is 0

Em2 (at the equilibrium point) = Eg +Ek, where Eg is 0

This makes sense. At the highest point, the pendulum is at its maximum height. At this point, however, it stops moving, so its velocity is 0. At the equilibrium point, the pendulum is at its lowest height (i.e. h=0). At this point, however, its moving at its maximum velocity. This velocity is constant, which means that acceleration is 0.

Answer:

1) Increases

2) Decreases

3) Decreases

4) Increases

5) Maximum

Explanation:

As a pendulum moves toward the equilibrium position, velocity

✔ increases

and acceleration

✔ decreases

. As the pendulum moves away from the equilibrium position, velocity

✔ decreases

and acceleration

✔ increases

. Velocity is at a

✔ maximum

when acceleration is zero.

About how many kwh does the solana parabolic trough solar array generate in a month?

Answers

An array of this size can produce an average of 350-850 kWh of AC energy per month.

Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.

Solar panel systems are measured in terms of kW. A common size solar panel array is usually around 5kW. An array of this size can produce an average of 350-850 kWh of AC energy per month.

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Block A has a weight of 60 lb and block B has a weight of 10 lb. Determine the speed of block A after it moves 5 ft down the plane, starting from rest. Neglect friction and the mass of the cord and pulleys.

Answers

The speed of Block A is 7.18 ft/s.

From energy conservation we know that the initial kinetic energy is equal to final kinetic energy.

Block A has weight of 60 lb.

Block B has weight of 10 lb.

In the question it is said that block A moves from rest at a distance of 5ft.

Relative motion constraint-

2sA + sB  =l

differentiating we get:

So,    2ΔsA + ΔsB  = 0

→  ΔsB = -2ΔsA

2 vA + vB  =0

→  vB = -2vA

Now applying principle of work and energy

TA0 +TBO + ΣwO-AB  =  TA+TB

1/2 mA v²A₀ + 1/2 mBv²B₀ + wAΔsA + wBΔsB = 1/2 mAv²A + 1/2 mBv²B

0 + 0 +6(5) - 10(10) = 1/2 (-60/32-2) v²A +1/2 (10/32.2) 2v²A

vA = 7.18 ft/s

So, the speed of block A is 7.18 ft/s.

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Visualizing the body in the position is significant because all observers have a common point of reference when describing and discussing its regions.

Answers

Visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.

What is the anatomical position?Anatomical position, also known as conventional anatomical position, refers to the body's position while it is standing erect and looking forward, with each arm hanging on either side of the body and palms facing forward. The legs are parallel, with the feet level on the floor and forward facing. When explaining particular anatomical words and locations in human anatomy and physiology, the anatomical position is a standard point of reference. Visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.

As the description itself says, visualizing the body in its anatomical location is important because it provides a single point of reference for all observers when describing and discussing its region.

Therefore, visualizing the body in the anatomical position is significant because all observers have a common point of reference when describing and discussing its region.

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The question you are looking for is given here:

Visualizing the body in the _____________ is significant because all observers have a common point of reference when describing and discussing its region.

According to present scientific understanding of the Milky Way's formation, which of the following statements are true

Answers

Halo stars formed before disk stars and the protogalatic cloud(s) contained essentially no elements besides hydrogen and helium.

Halo stars

The hierarchical growth of huge galaxies like the Milky Way results in the natural by-product of extended star haloes. Our galaxy's star halo should contain traces of past merger events if this process is a significant contributor to the galaxy's expansion. However, it is difficult to reliably identify real halo stars. Aims. We have entered a new phase of galactic astronomy with the launch of the Gaia space telescope. Over two million stars the majority of which are in the solar neighbourhood have their locations, parallaxes, and proper motions listed in the initial Gaia data release. This sample will be expanded to include more than 1.5 billion stars in the second Gaia data release, of which 5 million will be fully phase-space characterized stars.

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1. What happens to the apparent weight when the objects are submerged in water?

Answers

According to the Archimedes principle, if an object is immersed in a fluid, it experiences an apparent loss of weight which is equal to the weight of fluid displaced. The buoyant force which acts in the upward direction opposite to the weight of the object causes the apparent loss in weight. (Hope that helps)

An object starts at rest. Its acceleration over 30 seconds is shown in the graph below:

Answers

Answer:6m/s

Explanation:as you can see before twenty seconds there was no change in speed,but between twenty to thirty seconds,the speed changed from 0m/s to 6m/s,so change in speed is 6m/s.

The speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

Given:

Time, ΔT = 30-20 = 10s

Acceleration, a = 7 m/s²

The speed can be computed from the acceleration and time. The standard unit of velocity is meters per second.

For the given case, the speed can be computed from the acceleration and time given in the graph.

The speed is given as:

a =  v/t

v = at

v = 7×10

v = 70 m/s

Hence, the speed of an object between 20 and 30 seconds shown in the graph is 70 m/s.

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As the number of protons in an atom’s nucleus increases

a) The overall stability of the atom decreases

b) The number of electrons must increase to maintain the atom’s overall neutral charge

c) The more neutrons are required to stabilize the nucleus

d) All of the above

Answers

As the number of protons in an atom’s nucleus increases, the number of electrons must increase to maintain the atom’s overall neutral charge; option B.

What is atomic number of an element?

Atomic number is the number of protons present in the nucleus of an atom.

The atomic number of atoms of elements increase with increase in atomic number.

In conclusion, atomic number increases the size down a group and decreases atomic size across a period.

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What happens in a parallel circuit when you increase the number of bulbs

Answers

As more bulbs are added in parallel, the current strength will decrease OR. As more bulbs are added in parallel, the current strength will increase.

Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of: Select one:

Answers

Fire spreading from a wall to a nearby couch due to radiant heat transfer is an example of heat reflectivity.

What is heat reflectivity?

When sunlight and other light sources strike a material's surface, its reflectance is measured. This number can be used to characterize a surface's characteristics in terms of surface finish. Another name for reflection is reflectivity.

This is a measurement of the amount of energy that material reflects at a specific wavelength. A value between 0 and 1 can also be used to represent reflectivity (or a percentage between 0 and 100).

Sigma and other top businesses have created a range of other forms of heat reflective fabric in the 50 years after the creation of space blankets, including Fabric and aluminum foil laminates, fabric laminates with metalized thin films.

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How does quantum theory explain the emission spectra of atoms?

Answers

The quantum theory opines that electron in atoms occur a discreet energy levels.

What is the quantum theory?

The quantum theory was initiated by the idea of Max plank. In this idea, energy was viewed as occurring in discrete amounts. This idea was first applied to the phenomenon of the black body radiation hence the Plank Equation; E = hf.

Now Neils Bohr pushed the idea further by putting forward the opinion that when an electron in atom is found in an orbit, it does not radiate energy. The atom was thus visualized as being composed of several energy levels and radiation can only occur when an electron moves from a higher to lower energy level.

This implies that the energy of each electron in an atom is quantized. Thus implies that it has a value which an integral multiple of a fundamental amount.

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2. A spacecraft travels at 2 x 108 m/s relative to Earth. An astronaut on board listens to a CD that lasts 50 min.
How long would the CD last as measured by a stationary clock on Earth?

3. A linear particle accelerator is a special machine that accelerates charged particles to nearly the speed of light
and channel them into a beam. When used in research, the beam hits targets and the atoms split. Scientists
gather information about sub-particles, atoms and molecules to further help understand the laws of physics.
A proton of a mass 1.67 x 10–27 kg is accelerated to 0.999 994c. Calculate the ratio of the proton’s relativistic
momentum to the non-relativistic momentum

Answers

This is a time dilation exercise. The time taken for the CD to last as measured by a clock on earth is given as: 67.08 minutes.

What is time dilation?

Under the theory of special relativity, time dilation is the "slowing down" of a clock as determined by an observer in relative motion with respect to that clock.

Recall that the equation for time dilation is given as:

t = t₀/√(1- (v²/c²)

Where:

t₀ is the observer in the space craft

t  is the observer on earth

v is the speed of the space craft which is given as 2 x 10⁸m/sec

c is the speed of light which is given as 3 x 10⁸m/sec

Hence

v/c = 2 x 10⁸/ 3 x 10⁸

= 2/3

Thus,

t = 5/√(1-(4/9)

= 50 √(9/5)

= 150/√5

= 150 /2.2361

= 67.08 min

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Increases in the planet's temperature over the past few decades can be attributed to

Answers

Excess Carbon Monoxide(CO) attributed to increases in the planet's temperature over the past few decades

While carbon monoxide (CO) poisoning is the world's most common cause of poisoning death, correlations between CO poisoning and weather are yet unknown.

The incidence risk of acute CO poisoning is influenced by temperature changes, however, the effects vary in Taiwan depending on the season and the person. Our research quantifies the effects of environmental variables and offers essential support for healthcare professionals to create preventive measures to lower the incidence of acute CO poisoning.

An earlier study conducted in Beijing found a negative correlation between temperature and the frequency of acute Carbon Monoxide poisoning. While the impact of other significant weather variables (such as relative humidity and wind speed) on this issue is still unknown, prior research has mostly focused on the relationship between temperature variations and CO poisoning.


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In the roman soldier model for refraction, a muddy stream crosses the road they are on walking on at 45. Will the soldiers in the front row all hit the water at the same time?

Answers

There are different refractive errors that are common and some of them are:

Nearsightedness (myopia) makes far-away objects look blurry.Farsightedness (hyperopia) makes nearby objects look blurry.Astigmatism can make far-away and nearby objects look blurry or distorted.Presbyopia makes it hard for middle-aged and older adults to see things up close

What is Refraction?

This refers to the study of light phenomena that deflects when it passes through a medium in an oblique manner to another medium of a varying density.

Hence, we can see that there are everyday examples of refraction in simple terms which occurs and some of them are:

GlassHuman eyesIce crystalsPickle jarMicroscope, etc.

Hence, we can see that your question is incomplete, so I gave you a general overview to help you get a better understanding of the concept of refraction.

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In the paralleling technique, the central ray of the x-ray beam must be _____ to the film sensor and the long axis of the tooth.

Answers

The film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

To find the answer, we need to know above the paralleling technique in the dental x-ray.

What is paralleling technique?The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion. The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.The paralleling technique is the most dependable method for capturing periapical x-rays because it produces high-quality images with little distortion.The central x-ray beam should be pointed perpendicular to the long axis of the tooth in issue, and the film should be positioned parallel to it.When preparing for an x-ray, it is imperative to keep in mind the root anatomy.The maxillary occlusal plane of the patient should also be parallel to the ground.

Thus, we can conclude that, the film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

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P waves ________. P waves ________. are faster than S waves and surface waves have higher amplitudes than do S waves propagate only in solids produce the strongest ground shaking

Answers

P waves are faster than S waves and surface waves.

Surface waves

A surface wave in physics is a mechanical wave that travels at the interface of two different media. Gravity waves on the surface of liquids, like ocean waves, are an example that is frequently used. When two liquids with different densities come together, gravity waves can also form at that junction. Solid surfaces can experience elastic surface waves like Rayleigh or Love waves. The way that electromagnetic waves can be steered along a gradient in refractive index or at the boundary between two substances with varying dielectric constants is known as "surface wave" propagation. A guided wave that travels relatively close to the Earth's surface constitutes a ground wave in radio transmission.

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Normally, whem I shut my door, it takes quite a bit of effort to shut it, but when my window is open, even if I just pull it slightly then let go, it slams automatically. It isn't an issue, I just want to know the physics behind it. Is it something to do with difference in pressure?​

Answers

Answer:

gravity

Explanation:

gravity pulls anything with with weight towards the earth.

Answer

The reason why this occurs is because if there is any apparent wind being pushed towards the direction of the door, there will be an attempt of equalizing pressure and thus it will slam, or close very loudly when you even just push it shut with some effort.

Explanation

This has happened to me a variety of times, I would have the garage open, and it would be a little bit windy, and when I tried to close it, it would slam shut.

Airflow is a significant factor in the pressure appliance.

Your question at the end is correct (Differences in air pressure.)

Apologies for the late response, but I was interested in this as well.

A 4 kg toy car moves horizontally on a rough road with coefficient of kinetic friction 0.2. It accelerates from rest to 20 m/s in 10 s. Find (a) the total work done on the car

Answers

The total work done on the car is 784Joule.

What's the acceleration of the car?As per Newton's equation of motion, V= U+atU= initial velocity= 0 m/s

V= vinal velocity= 20m/s

t= time = 10s

a= acceleration

So, 20= 0+ 10a

=> a= 20/10= 2m/s²

What's the distance covered by the car in 10 seconds?As per Newton's equation of motion,

V²-U² = 2aS

S= distance covered by the carSo, 20²-0=2×2×S=4S

=> 400= 4S

=> S= 400/4= 100m

What's the work done on the car due to frictional force?

Work done by frictional force= frictional force × distance

= (0.2×4×9.8)×100

= 784Joule

Thus, we can conclude that the work done on the car is 784Joule.

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Read the following question and answer it using complete sentences. Be sure to fully explain your answer.

What energy conversion is happening when wave power is used?

Answers

Wave power involves  conversion of mechanical energy to electrical energy.

What is wave power?

We know that energy conversion is part of the postulations of the first law of thermodynamics which states that energy can neither be created nor destroyed but can be transformed from one form to another.

Now, the wave power can convert the regular up and down movement of the ocean waves into a source of electricity. This implies that the energy that is taking place here is the conversion of mechanical energy to electrical energy.

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Suppose we have two planets with the same mass, but the radius of the second one is twice the size of the first one. How does the free-fall acceleration on the second planet compare to the first planet

Answers

The free-fall acceleration on the second planet is one-fourth the value of the first planet.

Calculation:

Consider the mass of planet A to be, M

               the mass of planet B to be, Mₓ = M

               the radius of planet A to be, R₁

               the radius of planet B to be, R₂

The acceleration due to gravity on planet A's surface is given as:

g = GM/R₁²      - (1)

Similarly, the acceleration due to gravity on planet B's surface is given as:

g' = GM/R₂²                           [where, R₂ = 2R₁]

   = GM/4R₁²    -(2)

From equation 1 & 2, we get:

g/g' = GM/R₁² ÷ GM/4R₁²

g/g' = 4/1

Thus we get,

g' = 1/4 g

Therefore, the free-fall acceleration on the second planet is one-fourth the value of the first planet.

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Choose 100 Newtons of applied force for the top spring. (100N is the amount of force equal to the weight of a 10.2kg mass. This is also 22.5 pounds.)a. What is the direction of the applied force?b. What is the direction of the spring force i.e. the force the spring exerts on the pincers? What is the magnitude of the spring force?c. Adjust the spring constant until you get a displacement of 0.100m to the right. What is the spring constant?d. Is the displacement the same as the length of the spring? The makers of Brand Z paper towel claim that their brand is twice as strong as Brand X and they use this graph to support their claim. Paper Towel Strength A bar graph titled Paper Towel Strength has Brand on the x-axis, and strength (pounds per inches squared) on the y-axis, from 90 to 100 in increments of 5. Brand X, 100; brand Y, 105; brand z, 110. Do you agree with this claim? Why or why not? a. Yes, because the bar for Brand Z is twice as tall as the bar for Brand X. B. Yes, because the strength of Brand Z is twice that of Brand X. C. No, because paper towel brands are all alike. D. No, because the vertical scale exaggerates the differences between brands. calculate the area of the surface of the cap cut from the paraboloidz = 12 - 2x^2 - 2y^2 by the cone z = x2 + y2 calculate the following limit. limx[infinity] ln x 3x A Carnot engine operating between hot and cold reservoirs at 250 K and 450 K produces a power output of 900 W. Find the rate of heat input, the rate of heat output, and the thermal efficiency? e6x = 5(a) find the exact solution of the exponential equation in terms of logarithms.x = (b) use a calculator to find an approximation to the solution rounded to six decimal places.x = What is number of maximum number of virtual processors for each of thefollowing Hyper-V client?Answer by a number such as 16.1. Windows 72. Windows 83. Open SUSE 12.1 Select the nuclide that completes the following nuclear reaction. 123 A) 12:Sb B) 1a,Te C) insb D) 111 E) none of the above the number of markets with which a firm and a competitor are jointly involved and the degree of importance of the individual markets to each is referred to as: One approximate solution to the equation cos x = 0.60 for the domain 0o x 360o is? T/F people like to be together to reduce uncertainties about themselves. suppose f is a real-valued continuous function on r and f(a)f(b) < 0 for some a, b r. prove there exists x between a and b such that f(x) = 0. Greek physician Galen was one of the first physicians to believe that mental illness could be caused by a. possessionb. head traumac. psychological stress d. excess bile How does the historical content of Daniel differ from that of other prophetic books? Use complete sentences. 70pts volumes suppose you drill a circular hole with radius through the center of a sphere with radius . you remove exactly half the volume of the sphere. the ratio of your radii is A manufacturer states that their gear pump requires 0.85 hp to pump 9 gpm of oil (sg=0.90) with a total head of 285 feet. What is the mechanical efficiency of this pump? Report your result in percent. Hint: The answer is above 60% __________ were not staged or costumed but were performed with the performers simply standing on stage. a chorus was added. each year the us spends over billion dollars on imported oil. true or false? What cause-and-effect relationship is described in this article?press enter to interact with the item, and press tab button or down arrow until reaching the submit button once the item is selecteda. the boston marathon accepted kathrine switzer because they decided to allow women into the race.b. kathrine switzer was kicked out of the boston marathon because a man stopped her.c. the boston marathon accepted women because kathrine switzer helped change the rules.d. kathrine switzer was welcome at the boston marathon because she paid more to enter. The uniform slender rod of mass m pivots freely about a fixed axis through point O. A linear spring, with spring constant of k 200 N/m, is fastened to a cord passing over a frictionless pulley at C and then secured to the rod at A. If the rod is released from rest in the horizontal position shown, when the spring is unstretched, it is observed to rotate through a maximum angular displacement of 30 below the horizontal. Determine (a) The mass m of the rod? (b) The angular velocity of the rod when the angular displacement is 15 below the horizontal?