Which of the following statements correctly shows the relationship between the ideas of climate change and global warming?Climate change is a logical outcome of global warming

Answers

Answer 1

The correct statement for the above question is the Climate change is a logical outcome of global warming.

"Global warming" refers to the observed, century-scale rise in the average temperature of the Earth and its effects. Heat is absorbed and radiated by the build-up of greenhouse gases in the earth's atmosphere, including ozone, carbon dioxide, methane, and nitrous oxide. It is possible to alter the amounts of greenhouse gases in the atmosphere to either trap or release more solar heat. Climate change refers to significant, ongoing changes in the global climate. The world's climate is influenced by the sun, the earth, the oceans, wind, rain, snow, forests, deserts, savannas, and human activity. For instance, the yearly temperature changes, rainfall, and other characteristics of New York's climate can be used to describe it. The "average" of the climates in various places, however, is less extreme than the global climate.

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Related Questions


A car is making a tight turn at 20m/s. What is the acceleration if the radius of the turn is
1.5m?

Answers

The acceleration of the car is 26.67 m/s^2.

What is centripetal acceleration?

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.

Given that: A car is making a tight turn at 20m/s.

the radius of the turn is 1.5m.

Hence, the centripetal acceleration of the car= speed^2/radius

= (20^2)/1.5 m/s^2.

= 26.67 m/s^2

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For a three-slit interference pattern, find the ratio of the peak intensities of a secondary maximum to a principal maximum.

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In the 3-slit interference pattern, the secondary  peak intensity is always half the principal maximum intensity. Therefore, the ratio of the peak intensity of the secondary peak to the primary peak is 1/2.

To understand why this is, consider the constructive interference that occurs at the main maxima. This occurs when the path difference of the waves reaching the screen through each slot is equal to an integer multiple of the wave's wavelength.

This gives us strong intensities at these points, which are the main maxima. On the other hand, at the second-order maximum, the path difference of the waves reaching the screen through each slit is equal to an odd multiple of half the wavelength of the wave.

This results in weaker intensity at these locations, which are secondary maxima. Since the sidelobe intensity is weaker than the main lobe, the ratio of the peak intensity of the sidelobe to the main lobe is 1/2.

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On a baseball field, first base is about 30 m away from home plate and second base is 30 m away from first base. A batter gets a hit and makes it to second base. What is the hitters final displacement from home plate?

Answers

The hitters final displacement from home plate is 60 m.

What is displacement?

The displacement of an object is the change in the position of the object.

The displacement of an object is determined from the shortest distance between the initial position and the final position of an object.

The hitters final displacement from home plate is calculated as follows;

Δx = x₁ - x₂

where;

x₁ is the initial position x₂ is the final position

Δx = x₁ - x₂

Δx = 30 m  - ( - 30 m)

Δx = 30 m + 30 m

Δx =  60 m

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you thoughtfully set a 1 kg box on top of a loaf of bread and the loaf compresses by 15 cm. Thinking of the bread as a spring, its spring constant is

Answers

Answer:

k = 65.3 N/m

Explanation:

Fs = Fg = mg = (1.0 kg)(-9.8 m/s²) = -9.8 N

x = 15 cm = 0.15m

Fs = -kx  (Hooke's Law)

-k = Fs/x = (-9.8 N)(0.15 m) = -65.3

k = 65.3 N/m

A job is done slowly, and an identical job is done quickly. Both jobs require the same amount of.... but different amounts of...

Answers

Answer:

work, power

Explanation:

Work = Fnet x distance

Work is NOT dependent on time

Power = Work ÷ time

The slower the work is done, the higher the power.  The faster the same amount of work is done, the lower the power.  Power, with work constant, is inversely proportional to time.

Two blocks with masses 3m and 4m are on a collision course with the same initial speeds v The block with mass 3m is traveling to the left, and the 4 block is traveling to the right. They undergo a head-on elastic collision and each bounces back, along the same line as it approached. Find the final speeds of the particles (Enter your answers in terms of the initial speed of each mass.) Vam X Apply the final velocity equations for elastic collisions: mi 2m2 11+ 22 m, m2 + 2m m + mm Note that il- lvl = v. Be careful of your signs! Vam

Answers

The final velocity equations for elastic collisions is

[tex]$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}$$[/tex]

A collision between two bodies in physics is referred to as an elastic collision if their combined kinetic energy stays constant. There is no net conversion of kinetic energy into other forms, such as heat, noise, or potential energy, in an ideal, fully elastic collision.

Lat their final speeds of bouncing back are u_1 and u_2 As the collision is clastic, e=1So,u_1+u_2=v_i+v_i=2 v_i

From momentum conservation, 3 m v_i-4 m v_i=4 m u_2-3 m u_1

[tex]$$\begin{aligned}& \Rightarrow \quad-2 v_i=4 u_2-3 u_1 \\& \Rightarrow 3 u_1-5 u_2=2 v_i-\text { (2) }\end{aligned}$$[/tex]

From (1) and (2),

[tex]$$\begin{aligned}u_1+u_2 & =3 u_1-5 u_2 \\\Rightarrow 2 u_1 & =6 u_2 \Rightarrow u_1=3 u_2\end{aligned}$$[/tex]

From (1),

[tex]$3 u_2+u_2=2 v_i$[/tex]

[tex]$$\text { and } \begin{aligned}\Rightarrow u_2 & =\frac{1}{2} v_i \\u_1 & =3 u_2=\frac{3}{2} v_i .\end{aligned}$$[/tex]

So,

[tex]$$\begin{aligned}& u_1=\frac{3}{2} v_i \\& u_2=\frac{1}{2} v_i\end{aligned}[/tex]

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the activation energy of the forward reaction is equal to the sum of the activation energy for the reverse reaction and the enthalpy change for the forward reaction.

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No, the activation energy for a forward reaction is not equal to the activation energy for the reverse of the same reaction.

In order for compounds to undergo a chemical reaction, a certain amount of energy is required, known as the activation energy. The unit of measurement for a reaction's activation energy (Ea) is either joules per mole (J/mol), kilojoules per mole (kJ/mol), or kilocalories per mole (kcal/mol). You can think of activation energy as the size of the potential barrier between the minima of the potential energy surface related to the initial and final thermodynamic states, which is also referred to as the energy barrier. If the system temperature is high enough, there should be a sizable number of molecules with translational energies that are equal to or higher than the activation energies.

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During a ballistics test a bullet is fired into a thick gel to bring it to a stop. A 5.5-g bullet traveling at 325 m/s is brought to a stop in the gel by an average force of 750 N .
What amount of time is needed for the bullet to come to rest?
Express your answer to two significant figures and include the appropriate units.

Answers

The amount of time needed for the bullet to come to rest is 2.4 ms.

Calculation:

Impulse Theorem: FΔt = Δp

Δt = Δp / F

Convert 5.5 g into kg.

Δt = (325 m/s) ( 0.0055kg) / 750 N --> Δt = 2.4x10^-3 s

2.4 ms

A force is a push or pulls on an object caused by its interaction with another object. Whenever there is an interaction between two objects, there is a force acting on each object. When the interaction stops, there is no force on the two objects.

There are four fundamental forces gravity electromagnetic force weak nuclear force, and strong nuclear force. Of these four forces, the mighty nuclear force is the most powerful. From this, we can conclude that whenever the direction of force is in the direction of motion the velocity of the object increases and when it is opposite to the direction of motion the velocity decreases.

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a man who is 6 feet tall is walking away from a lamp post at a rate of 5 feet per minute the lamp post is 20 feet tall the person casts a shadow on the ground in from of them

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(a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m

(b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m

Given,

      Height of the man = 6 ft

      Height of the lamp post = 20 ft

                                        [tex]\frac{dx}{dt} =5 ft/m[/tex]

Let,

      The distance between the base of lamp and the man = x

From the geometry,

             [tex]\frac{6}{20} =\frac{y}{x+y}[/tex]

          [tex]6(x+y) = 20y[/tex]

                [tex]3x=7y[/tex]                       .......................(1)

And,

            [tex]6(\frac{dx}{dy} )=14(\frac{dy}{dt} )[/tex]

               [tex]\frac{dy}{dt}=\frac{15}{7}[/tex]

∵              [tex]\frac{dx}{dt} =5 ft/m[/tex]

∴        [tex]\frac{dx}{dt}+\frac{dy}{dt} =5+\frac{15}{7}[/tex][tex]=\frac{50}{7}[/tex]

Hence,

         (a) The growing rate of shadow when the person is 30 ft from the lamp post is 15/7 ft/m

         (b) The moving rate of the tip of the shadow when the person is 30 ft from the lamp post is 50/7 ft/m

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A 472 kg roller coaster is on top of a 12 m high hill. It starts from rest and then goes down the hill. How fast is
it going when it reaches the bottom?

Answers

The roller coaster is going with 15.34 m/s when it reaches the bottom.

What is law of conservation of energy?

Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.

According to the question, potential energy of the roller coaster at initial position = mass * acceleration due to gravity* height = mgh

Let the speed of the roller coaster at the bottom = v.

So, kinetic energy at the bottom = 1/2 * mass * speed^2 = 1/2 mv^2

From conservation of energy:

mgh = 1/2mv^2

v= √( 2gh)

= √( 2 × 9.8 × 12) m/s

= 15.34 m/s.

Hence, the speed of it at the bottom is 15.34 m/s.

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two bags of oranges are dropped from a roof at the same time. one bag has two oranges, and the other has 14. which of the following statements is true? A) Bag two is seven times heavier than bag one so it falls seven times faster than bag one.
B) Bag two has seven times the force acting on seven times the mass so it falls as fast as bag one.
C) Bag one is seven times lighter than bag two so it falls seven times slower than bag two.
D) The force acting on bag one and the force acting on bag two are the same.

Answers

When two bags of oranges are dropped from a roof at the same time, of which one has two oranges and the other has 14, (d) The force acting on bag one and the force acting on bag two are the same.

Lighter bag and Heavy bag fall at the same time and same rate in vacuum because there is no air resistance and the acceleration in free fall doesn't depend on the mass of the object.

Gravitational force= GMm/R^2

G= gravitational constant(6.67/10^11)

M=mass of Earth

m= mass of object

According to Newton's second law of motion

F=ma

GMm/R^2 = ma

Mass of object gets cancelled. So acceleration of doesn't depend on mass of object.

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the gravitational force exerted on a solid object is 5.00 n. when the object is suspended from a spring scale and submerged in water, the scale reads 3.50 n (fig. p14.11). find the density of the object

Answers

Density of the object is 3333.33 kg/m³.

Density can be defined as the ratio of the mass of a body to its volume.

The SI unit of density is kg/m³.

From Archimedes principle,

Rd = W/U = D/D'

Where Rd = relative density,

W = weight of the object in air,

U = upthrust in water,

D = Density of the object,

D' = Density of water.

W/U = D/D'

Density (D) of the solid can be calculated by the equation,

D = D'(W/U)

As we have,

W = 5.0 N,

U = 5.0 -3.5 = 1.5 N,

D' = 1000 kg/m³

Since U = lost in weight = weight in air - weight in water

D = 1000(5/1.5)

D = 3333.33 kg/m³

Thus the density of the solid object is 3333.33 kg/m³

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The linear density of a string is 1.6 10-4 kg/m. A transverse wave on the string is described by the equation y = (0.021 m) sin[(2.7 m-1)x + (20 s-1)t].what is the wave speed?what is the tension in the string?

Answers

The required wave speed and tension in the string are 15 m/s , 0.036 N respectively.

What is speed?

Speed is characterized as. The pace of progress of position of an item toward any path. Speed is estimated as the proportion of distance to the time in which the distance was covered. Speed is a scalar amount as it has just course and no extent.

According to question:

(a) The wave speed is given by v=λ/T=ω/k,

where λ is the frequency, T is the period ω is the precise recurrence (2π/T), and k is the rakish wave number(2π/λ).

The displacement  has the structure y=y sin(kx+ωt), so 4k=2.0m

 furthermore, ω=30 rad/s.

Hence v=(30 rad/s)/(2.0m)=15 m/s.

b) Since the wave speed is given by v= τ/μ

, where τ is the pressure in the string and μ is the straight mass thickness of the string, the strain is

τ=μv =(1.6×10 kg/m)(15 m/s) =0.036 N.

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Which em spectrum pass through our atmosphere most easily?
Visible light, gamma ray, infrared radiation, or radio waves??

Answers

Answer:

Gamma Ray but read below

Explanation:

All of the types of electromagnetic radiation listed can pass through Earth's atmosphere, although some types are absorbed or blocked more easily than others.

Visible light, infrared radiation, and radio waves are able to pass through the atmosphere relatively easily, while gamma rays are more likely to be absorbed.

This is because gamma rays have a higher energy than the other types of radiation, so they are more easily absorbed by the atoms and molecules in the atmosphere.

Answer:

Gamma Rays

Explanation:

It has the highest possible frequency lowest wavelength and the most energetic charge. Its travels at the speed of light and is highly penerative

4. a rock, warmed by the sun, is placed in a pool of cool water. the rock transfers 9.95 j of heat to the water. assume that the rock and the water are systems isolated from the outside world. use conservation of energy to relate the magnitudes of the energy changes that occur in the rock and in the water. (1 point)

Answers

Based on the principle of energy conservation. Because rock is hotter than water, a given amount of heat is lost by rock while water gains the same amount of heat.

Because a sun-warmed rock is placed in a chilly pool of water. According to the law of conservation of energy, which is found in physics and chemistry, the total energy of an isolated system is constant and is said to be conserved over time. This first-proposed-and-tested law states that energy can only be converted or moved from one form to another; it cannot be created or destroyed. In thermodynamics, heat is described as a kind of energy that crosses a thermodynamic system's boundary as a result of a temperature.

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a rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95a , is oriented with the plane of its loop perpendicular to a uniform 1.50 t magnetic field

Answers

If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Torque will likewise be 0 at that point.

Given that, a rectangular coil of wire, 22 cm by 35 cm and carrying a current of 1.95 A, is oriented with the plane of its loop perpendicular to a uniform 1.50 T magnetic field.

The strength of magnetic torque on the current-carrying circle is given by the below formula, if θ is the angle between A and B. Then we have

τ = I AB sin θ

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0°

Then we have,

τ = I AB sin 0° = 0

The question is incomplete. The complete question is 'Find out the torque in the coil.'

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Glenn works at the local grocery store and his gross pay is $800. Joe's
withholdings are as follows:
Federal Income Tax - $100.00
State Income Tax = $45.00
Local Income Tax- $20.00
Social Security Tax- $15.00
Medicare Tax - $5.00
401K Contribution - $50.00
a. What is the total dollar amount of withholdings? (2 points)
b. In dollars, what will Glenn's net pay be? (2 points)
Blank #1
Blank #2

Answers

a. The total dollar amount of withholdings equals to $185

b. Glenn’s net pay will be $615

What is Withholding?

This means the income an employer takes out of an employee's paycheck and remits to the federal, state, and/or local government. A technique used to collect income tax in advance is withholding tax (WHT).

Net pay is what employees earn after all payroll deductions are subtracted from their gross pay, also known as take-home pay. Your payslip will typically include information about your net salary after all deductions have been made, frequently at the bottom. Keep in mind that net pay is your salary less any deductions. This will be in accordance with the sum of money deposited into your bank account.

The total dollar amount of withholdings is:

= Income Tax + State Income Tax + Social Security Tax + Medicare Tax

= $100.00 + $45.00 +  $20.00 + $15.00 + $5.00

= $185

The amount of Net pay is:

= Gross pay - Withholdings

= $800 - $185

= $615

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A janitor is pushing an 17-kg trashcan across a level floor at constant speed. The coefficient of friction between can and floor is 0.16. a) if the janitor is pushing horizontally, what is the magnitude of the force he exerts on the can? b) If he pushes at an angle of 30∘ down from the horizontal, what must the magnitude of his pushing force be to keep the can moving at constant speed?

Answers

Answer:

a) >26.7 N

b)  >13.3 N

Explanation:

a)  Fg = (17 kg)(9.8 m/s²) = 166.6 N

Fnormal = Fg = 166.6 N

Ff = μFn = 0.16(166.6 N) = 26.7 N

Janitor needs to push >26.7 N to overcome the Force of friction (Ff) on a horizontal floor.

b)  You have to determine Fn on the object by figuring out the y-component of Fg.

Fn/Fg = sin30

Fn = sin30(166.6 N) = 83.3 N

Now you can find Ff.

Ff = μFn = 0.16(83.3 N) = 13.3 N

Janitor needs to push >13.3 N down the incline to overcome Ff

Makes sense that he has to push less down an incline.

A child on a bike traveled 20 m east, and then 30 m north. What was the displacement of the child?

50 m, north

36 m, north

36 m, northeast

50 m, northeast

Answers

The displacement of the child is 36 m, northeast.

Define displacement.

Displacement is the difference between an object's starting location and any subsequent position (such as the position of a body or geometric figure). An object's position in relation to a reference frame changes when there is displacement. It is allegedly displaced. The vector quantity displacement has a magnitude and a direction.

Here, imagine

Distance travelled to east is side AB of a right sided traingle,

AB =  20m

Distance travelled to north is side BC of the same triangle ,

BC =  30m

To find total displacement is to find side AC of the above triangle,

According to Pythagorus theorem

(AC)^2= (AB)^2 + (BC)^2

(AC)^2 =  (20)^2 + (30)^2

AC = 36m

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Assume a small spacecraft is in open space. One panel is a dedicated radiator (dimensions in image) and is painted with S13 GLO white paint (emissivity = .89). If the radiator is at 30C and has a full view factor to space, how much heat can it reject from the system? (How much is this radiator radiating to space?). Use 3K for space temperature. Round answer up to one decimal place. No need to include units.

Answers

This radiator's Heat radiation is 12.8 W.

Provided, the temperature of the radiator θ = 30°C

So, the absolute temperature of the radiator,

T = ( θ + 273 ) K

  = ( 30 +273 ) K

  = 303 K

Also provided, the temperature of the surrounding space, T₀ = 3 K

The emissivity of the white paint, ε = 0.89

The length of one side of the radiator, L = 0.3m and the breadth, B = 0.1m.

Now, the amount of rate of  heat transfer by a system at temperature T to a surrounding space at temperature T₀ is given by the formula,

Q = σεFA(T⁴-T₀⁴).

where A is the area of the system exposed to the surrounding, F is the view factor, σ is the Stefan-Boltzmann constant = 5.67 × 10⁻⁸Wm⁻²K⁻⁴ and σ is the emissivity of the system.

Here, the surface area of the radiator,

A = LB = (0.3m) (0.1m) = 0.03 m²

According to the question, the radiator has a full view factor to the space, i.e. we can say, the view factor in this case is, F = 1.

Substituting all known values into the equation we just mentioned we get,

Q = σεFA(T⁴-T₀⁴)

   = (5.67 × 10⁻⁸Wm⁻²K⁻⁴) (0.89) (1) (0.03 m²) [ (303K)⁴ - (3K )⁴ ]

   = 12.76 W

   ≈ 12.8 W

So, the rate of heat radiation is, Q = 12.8 W

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A particle has an initial velocity at angle with respect to the horizontal. The maximum height it can reach is when
a) 30* b) 45* c) 60* d)90*



Answers

The angle that would produce the maximum height is 60°C. Option C

What is a projectile?

We know that a projectile is said to be obtained when we launch the body at an angle. In this case, we are told that the particle has been launched to the horizontal and the object is projected at a particular angle.

We want to find out the maximum height of the object and this would make us to look at the angle of the projection vy that would produce the greatest maximum height. This would be at an angle of  60°C to the horizontal and leads to the greatest possible height attained.

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zeeman-type spin splitting in non-magnetic three-dimensional compounds: materials prediction and electrical control

Answers

Zeeman-type spin splitting in non-magnetic three-dimensional compounds: materials prediction and electrical control.

The Zeeman Effect:

The discussion of the atomic energy levels, their transitions, and the related spectral lines has implicitly assumed that the atom is not affected by magnetic fields. The atomic energy levels are split into a greater number of levels and the spectral lines are likewise split when magnetic fields are present. The Zeeman Effect is referred to as this splitting.

The non-magnetic Zeeman effect has only been predicted and observed in two-dimensional molecules, despite its potential for device application. We show that Zeeman-type spin splitting may also occur in non-centrosymmetric three-dimensional compounds and that this splitting can be controlled by altering the direction in which these compounds' slabs expand. We identify the necessary elements for this effect: A general k-point must have the following characteristics:

(i) non-centrosymmetric, including polar and non-polar point groups;

(ii) valence band maximum or conduction band minimum;

(iii) non-time-reversal-invariant momentum; and

(iv) zero magnetic moment.

We do a material screening to systematically look for these systems in the aflow-ICSD database using these criteria as filters. 20 material candidates with the Zeeman-type effect are discovered.

We also discovered that an external electric field, which in turn can cause a metal-insulator transition, can influence spin-splitting in restricted systems. We propose a spin-filtering device based on the Zeeman-type phenomenon in three-dimensional compounds.

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find the linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping:

Answers

The linear acceleration of the spool below (mass m, moment of inertia i) if it is rolling without slipping: A spool of mass m and moment of inertia I (around its center) is free to roll without slipping on a table. It has an inner radius of r and an outer radius of R.

In mechanics, acceleration is the charge of the alternate velocity of an item with recognition of time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item.

Acceleration, is the price at which speed modifications with time, in terms of each pace and path. A point or an object transferring in an instant line is accelerated if it quickens or slows down. movement on a circle is multiplied although the rate is constant due to the fact the path is always converting.

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Induction charging is a method used to charge an object without actually touching the object to any other charged object.the process by which an object receives a static charge when placed near a second charged object is known as

Answers

Induction charging is a method used to charge an object without actually touching the object to any other charged object. The process by which an object receives a static charge when placed near a second charged object is known as inductance.

Induction charges another body without came in contact with that body.

During induction, charges move between objects that briefly touch; during conduction, charges move between objects that are rubbed together.

if the charges have the same sign, then the force is repulsive, this means that the forces point away from each other, so in this case the forces have opposite directions.

Charging by conduction refers to the contact of a charged object to a neutral object, which is the opposite of induction.

Charging by induction refers to charging an object without making contact, it could be through an electric field.

Therefore, the induction charging is a method used to charge an object without actually touching the object to any other charged object. The process by which an object receives a static charge when placed near a second charged object is known as inductance.

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again, in just a couple of sentences, briefly consider the reason for visible differences between one wavelength image's contents versus another's.

Answers

Understanding an object's structure and function requires observation at a variety of wavelengths.

We perceive at different wavelengths for what reason?

This is due to the fact that we have just lately been able to view the complete electromagnetic spectrum of the universe.There are objects in our universe that emit a wide variety of radiation having wavelengths either being too short or long for human eyes to see.

Why do astronomers capture photos using different wavelengths of light?

Astronomers can learn something distinctive about an item by examining its light at various wavelengths.Astronomers may see "the broad picture" of what's actually happening with that object by examining all available wavelengths and developing models that account for everything those photographs show.

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1. W= 500 Joules
t = 25 seconds
P = ?

Answers

The power is 20w when the work done is 500 joules in 25 seconds.

What is power?The amount of energy transferred or converted per unit time is referred to as power. The watt is the unit of power in the International System of Units, equal to one joule per second. In older works, power is sometimes called activity. A scalar quantity is power.Work divided by time equals power.

                  P = W / T

Another formula for power based on energy and time is :

The formula is P = E/t, where P represents power, E represents energy, and t represents time in seconds. According to this formula, power is defined as the consumption of energy per unit of time.

Here given,

W = 500 J

T = 25 sec

By substituting,

P = W/T

  = 500 / 25

  = 20w

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Auroras are bursts of light that happen when charged particles from the sun interact with Earth's magnetic field and atoms and molecules in our atmosphere. Which physical science is BEST SUITED explain the interactions of the charged particles with Earth's magnetic field?
A. Life Science
B. Physics
C. Chemistry

Answers

Charged particles from the sun interact with the magnetic field of Earth, as well as with atoms and molecules in our atmosphere, to produce auroras, which are brief flashes of light.

The Aurora Event, also known as The Iceland Event, refers to a rare occurrence of an Aurora Borealis and a meteor shower that took place in Iceland in 2010. Space weather, which is brought on by solar activity such as solar flares and coronal mass ejections, can have an effect on the region between Earth and the sun and result in an aurora. Fast solar wind streams from coronal holes are one example of a considerably less intense occurrence that might result in active circumstances and cause auroras. The magnetic reconnection between Earth's magnetosphere and the solar wind causes the Aurora Borealis, also known as the "Northern Lights," and the Aurora Australis, often known as the "Southern Lights."

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which of these situations corresponds to n independent bernoulli trials having the same probability p of success?

Answers

The probability mass function is obtained as:

[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]

Outcome is,

[tex]n=12 \\ p=0.4[/tex]

Let X be discrete random variable which takes value [tex]$i=1,2 \ldots$[/tex].

Now the probability of mass function at point is is given by:

[tex]p(x=p)=p\left(x_i\right)=F\left(x_i\right)-F\left(x_{(i-1)}\right)[/tex]

By using Bernoulli's random variable:

[tex]P(x=x)=p^x(1-p)^{1-x} x=0,1[/tex]

where as [tex]$x=0 \Rightarrow$[/tex] corresponds to failure

[tex]$x=1 \Rightarrow$[/tex] correspond to Success

p is probability function of Success.

Therefore the total number of Success in ' n ' independent Bernoulli trials is Sum of ' n ' bernoulis random variable which gives binomial distribution.

By using multiplication rule the probability of observing ' x 'Successes in ' n ' independent bernoulli trials it can be written as:

[tex]\underbrace{p \times p \times \ldots \times p}_{x \text { times }} \times(\underbrace{() 1-p) \times(1-p) \times \ldots \times(1-p)}_{n-x \text { times }}[/tex]

The probability mass function :

[tex]p(x=x)=12 c_x \quad(0.4)^x(1-0.4)^{1 x-x} ; x=0,1,2 \ldots .12[/tex]

where as

[tex]n=12 \\ p=0.4[/tex]

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Note:- The question is as follow,

Consider the probability space [tex]$(S, M, P)$[/tex] that models the observed proportion of successes in n independent Bernoulli trials with probability of success equal to p. For example, given n=12 and p=0.4, the outcome [tex]\frac{5}{12}=.41 \overline{6} \:in $(S, M, P)$[/tex] should have the same probability as the outcome of 5 successes in 12 independent Bernoulli trials with probability of success equal to 0.4. Give a formula for the density function f(s) for this probability space in terms of the density [tex]$f_{n, p}$[/tex] of the binomial distribution with size n and probability p. ( points)

The figure shows a block of mass m resting on a 20 degree slope. The block has coefficients of friction us(static friction)=0.64 and uk(kinetic friction) with the surface slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from the rest?

Answers

The figure shows a block of mass m resting on a 20 degree slope. As the system is at rest For the equilibrium of 2 kg block

What is mass ?

A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.A measurement of how much matter is present in or makes up a physical body. In classical mechanics, an object's mass is crucial to Newton's laws of motion because it influences the force needed to accelerate it and, consequently, how much inertia it has.

[tex]$$\begin{aligned}& T-2 k g \times 9.8 \mathrm{~m} / \mathrm{s}^2=0 \\& T=2 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2=19.6 \mathrm{~N}\end{aligned}$$[/tex]

For the equilibrium of second block

[tex]$$\begin{aligned}& T=m g \sin 20^0+f \\& T=m g \sin 20^0+\mu_s R \\& T=m g \sin 20^0+\mu_s m g \cos 20^0 \\& T=m\left(g \sin 20^0+\mu_s g \cos 20^0\right) \\& m=\frac{T}{\left(g \sin 20^0+\mu_s g \cos 20^0\right)} \\& m=\frac{19.6 N}{\left(9.8 \mathrm{~m} / \mathrm{s}^2 \sin 20^0+0.64 \times 9.8 \mathrm{~m} / \mathrm{s}^2 \cos 20^0\right)} \\& m=\frac{19.6 \mathrm{~N}}{9.25 \mathrm{~m} / \mathrm{s}^2}=2.12 \mathrm{~kg}\end{aligned}$$[/tex]

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Two blocks, A and B (with mass 50 kg and 100 kg, respectively), are connected by a string, as shown in Figure P5.64. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between block A and the incline is ?k = 0.25. Determine the change in the kinetic energy of block A as it moves from C to D, a distance of 15 m up the incline if the system starts from rest. ____J

Answers

The change in the kinetic energy of block A is 1,837.5 J.

What is the change in the kinetic energy of the block?

The change in the kinetic energy of the blocks as it moves through the given distance is the work done in overcoming the force of friction.

Based on the law of conservation of energy, the equation is given as;

ΔK.E = W (f)

Where;

ΔK.E is the change in kinetic energyW (f) is the work done by force of friction

W (f) = μmgd

where;

μ is the coefficient of friction between block and the inclinem is the mass of block Ag is acceleration due to gravityd is the distance travelled by block A

The change in the kinetic energy of the block A is calculated as follows;

W (f) = μmgd

W (f) = 0.25 x 50 x 9.8 x 15

W (f) = 1,837.5 J

Thus, the change in the kinetic energy of block A is a function of work done by force of friction along the incline.

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