a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s, what is their acceleration?

The peak current through a 590 w room heater that operates on 220 v ac power is 5.86 A.

The largest amount of current that an output is capable of providing for brief periods of time is known as the peak current.

When an electrical device or power source is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.

For instance, the connection between RMS and Peak Current is as follows when the AC waveform is a perfect sine wave.

RMS Current is equal to Peak Current times 0.70 or Peak Current times 1.41.

An alternating current can be expressed using two numbers: RMS and peak. RMS and Peak differ most when it comes to peak.

Here on we have

P = 500 W

V = 120V

Then according to the expression for current,

I = P/V

= 500W/ 120V

= 4.16A

Then for peak current is,

Imax = [tex]\sqrt{}[/tex]2I

= (1.41) (4.16A)

= 5.86A

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Answeratomic number 14 , 14, protons , and 14 electrons

Explanation:

By the vector, the force in the y component is  -16.18 newtons.

We need to know about vectors to solve this problem. Vector has magnitude and also direction. Force is included in the vector. It can be written as

F = Fx i + Fy j + Fz k

where s is displacement, Fx is force on x-axis, Fy is displacement on y-axis and Fz is displacement on z-axis.

From the question above, we know that

|F| = 232 N

θ = 184⁰

The force on y-axis is

Fy = |F| . sin(θ)

Fy = 232 . sin(184)

Fy = -16.18 newtons

The negative force is caused by the direction of the force.

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The wavelength released in transition energy is 683.68 nm.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

E = h.c / λ

where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.

Rydberg has been simplified how much wavelength released or absorbed by this equation

1/λ = R (1/n1 - 1/n2)

where R is Rydberg constant (1.097 × 10⁷ /m)

From the question above, we know that

n1 = 3

n2 = 5

By substituting the following parameter, we get

1/λ = R (1/n1 - 1/n2)

1/λ = 1.097 x 10⁷(1/3 - 1/5)

1/λ = 146266.67

λ = 6.8368 x 10¯⁷ m

λ = 683.68 nm

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Option D) is the correct answer. The Closed Universe model of the fate of the universe, if correct, is most likely to predict a second Big Bang.

The Closed Universe Model describes a hypothetically ever-expanding universe that contains a sufficient amount of matter in it a so that the gravitational pull due to the stored mass is enough to reverse the observable expansion of the universe through its gravitational contraction.

It is predicted that according to this model, the closed universe will folds back on itself like a saddle.

This could result in a second Big Bang.

According to Albert Einstein, the general shape of the universe depends upon the average density of matter and energy in the universe. For a closed universe, the ratio of average density to critical density ( for which the universe is flat) is more than one.

Hence, the Closed Universe Model is most likely to predict a second Big Bang.

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The distance the ball rolls up to before it stops is 110.25m.

Newton’s third equation of motion can be used to determine the distance the ball rolls up to before it comes to a halt.

Given data:

Initial velocity of the ball, u = 21m/s

Final velocity of the ball, v = 0

Acceleration of the ball, a = -2m/s^2

To find:

Distance the ball rolls, S = ?

Formula:

v^2 = u^2 + 2aS

Calculation:

0 = 21^2 + 2 (-2) S

S = 441 / 4

S = 110.25m

Result:

The distance the ball rolls up to is 110.25m before it stops.

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The volume of solution is 8.67ml, while calculating the volume of a solution where 5.7 g of ca(no3)2(aq) is dissolved in a 4.00 m aqueous solution.

The value of 6.023 x 1023 is equal to one mole of any substance (Avagadro number). It can be used to quantify the chemical reaction’s byproducts.

When we know the mass of a compound, we may calculate how many moles there are.

Therefore, we can calculate the number of moles in a sample by simply weighing it and multiplying the result by the molecular weight. The number of moles is equal to the quotient we arrive at in this case.

A mole is 6.02214076 x 1023 of any chemical unit, including atoms, molecules, ions, and others.

Maa of Ca(NO3)2 = 5.7g

Molar mass of Ca(NO3)2 = 164.09 g/mol

Number of moles of solute [Ca(No3)2] = mass/molar mass

= 5.7/ 164.09 g/mol

= 0.0347 mol

Hence the number of moles of solute is 0.0347 moles

Then we have

Molarity of solution = 4 M

Molarity = Moles of solute/ Volume of solution(l)

Volume of solution (L) = Moles of solute [Ca(No3)2] / Molarity of solution

= 0.0347 / 4

=0.00867 L

= 8.67 ml

Hence the volume of solution is 8.67

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Jaycie must complete 10 pushups to do 200 J of work if a force of 10 N is required to raise her center of gravity by 2 m.

W = F * d

W = Work done

F = Force

d = Distance

F = 10 N

d = 2 m

W = 10 *2

W = 20 J

This is the amount of work done to complete one push up.

Number of push ups to be completed to do 200 J of work = 200 / 20

Number of push ups to be completed = 10

The amount of work done is a measure of force used to move an object to a certain distance. Its unit if Joules.

Therefore, Jaycie must complete 10 pushups to do 200 J of work

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By using power, the electric energy is 20304 kJ.

We need to know about power to solve this problem. Power is the energy dissipated because of resistance. The magnitude of power is proportional to current and voltage. It can be determined as

P = I . V

where P is power, I is current and V is voltage.

The electric energy can be calculated by this equation

W = P . t

where W is electric energy and t is time

From the question above, we know that

P = 9.4 kW = 9.4 x 10³ W

t = 36 min = 2160 seconds

By substituting the following parameters, we get

W = P . t

W = 9.4 x 10³ . 2160

W = 20304 x 10³ joules

W = 20304 kJ

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Measurement refers to the strategy that's utilized to relegate a number to a specific parameter / indicator / characteristics of an article that's assist utilized to compare with other measured numbers. For example, measurement of inflation is done as a rate alter in cost. Here, inflation may be a macroeconomic pointer. Assist, current expansion can be compared with the past. Similarly, efficiency of an worker is also measure in terms of unit / quality created in a given time period. Further, it is utilized to compare with standard productivity level.

Each estimation gives numerical result and numerical result of estimation changes with the sort of estimation and information. For example, estimation of area gives information in square meter or square feet. But, estimation of GDP provide the information in terms of Million / Billion or Trillion. Hence, with the change of information types, measurement unit changes. For exactness and standardization of comes about, standard units of estimation are settled and practiced over the globe.

Representation of information figures as a portion of estimation can moreover be done in:

Table form

Charts

Graphical representation

Above representation helps in comparative analysis.

Types of information can too be:

Discrete

According to the information sorts, suitable estimation procedure is adopted. Staffing Experts need to know the appropriate estimation strategy to degree the execution of workers against the benchmark standards. They ought to too know the measurement of credentials of potential recruits. It is their ethical obligation to select as it were those who can convey the leading comes about for the company. It can as it were be done through proper measurement. Client Company contracts staffing Experts to bring in able initiates to the company. Presently, it is the ethical obligation of Staffing Experts to degree the candidates without any bias / prejudice.

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The cards are observed to move forward as the coins gel in the jar. This happens because the coin has rest inertia. Rest inertia is the resistance that an object exerts at rest. resist change and fall into the glass.

Coins have inertia. If you move the card slowly, it won't be fast enough to overcome this force. With a quick flick, the coin stays in one place and falls into the cup. A stationary object remains stationary. You could change position and fall to the ground or be inside the glass. This is because the paper changes its position when a strong force is applied or a quick pull is applied.

The law of inertia, also known as Newton's first law, states in physics that if an object is at rest or moving in a straight line with a constant velocity, it is at rest or moving in a straight line with a constant velocity. We assume that This is when a force is applied.

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The map of the world temperature zones gives;

23. Zone A = The North Frigid zone

Zone B = The North Temperate zone

Zone C = The Torrid

Zone D = The South Temperate zone

Zone E = The South Frigid zone

24. Zone C, the Torrid zone

25. Zone C, the Torrid zone

26. The Torrid zone

23. The five temperature zones of the world based on the annual temperatures are;

The north frigid zone

The north temperate zone

The torrid zone (tropics)

The south temperate zone

The south frigid zone

Each of the five zones shown on the map are;

Zone A = The North Frigid zone

Zone B = The North Temperate zone

Zone C = The Torrid zone Tropics

Zone D = The South Temperate zone

Zone E = The South Frigid zone

24. The name of the temperature zone that includes the equator is; Zone C, the Torrid zone (The tropics).

The Equator is located around the horizontal line that runs around the center of the Earth at 0 ° latitude.

25. The zone that has the greatest amount of human habitable land mass is; Zone C, the Torrid zone, which covers 40% of the geographic surface of the Earth.

26. The zone that has the highest temperature all year round is the zone farthest from the north and south Frigid zone which is the Torrid zone

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Answer:

Explanation:

In a computer simulation, Jeffrey moves a magnet (Magnet 2) toward the another magnet (Magnet 1) that cannot move. The potential energy in the system of magnets increases because Magnet 2 moves against the magnetic force.

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or the other factors.

Common types of the potential energy include the gravitational potential energy of an object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The unit for energy in the International System of Units (SI) is joule, which has the symbol J.

Potential energy is associated with the forces that act on a body in a way that the total work done by these forces on the body depends only on the initial and the final positions of the body in space. These forces, that are called the conservative forces, can be represented at every point in space by vectors expressed as the gradients of a certain scalar function called potential.

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2520.43N would a 3.50 in x 0.50 in steel bar weigh if it were 18 in long.

According to the relationship between density and volume, both are inversely proportional. It means that any change in density, no matter how tiny, will probably result in a change in the volume of that particular substance, be it an element or a compound.

The relationship between a substance's mass and volume is expressed by its density. The substance with more mass is denser if the volumes of the two substances are equal.

The density of the steel is = [tex]283lbs/in^3[/tex]

Length = 18 in

[tex]A_x[/tex] is= 3.50 in x 0.50 in

= 1.75 in

Volume = v= 1.75 x 18

[tex]v=31.5in^3[/tex]

Mass of steel m = lv

m=18x31.5

m=567 lbs

1 pound= 0.453592 kg

567 pound = 257.187 kg

Weight = m x g

=257.187 x 9.8

=2520.43N

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The electric field formula E=kQr2 E = k Q r 2 (where k is Coulomb's constant, and the units of the electric field are Newtons/Coulomb) gives the strength or magnitude of the electric field for a charge Q at a distance r from the charge.

To calculate the size of the electric field, we can apply the equation E = k | Q | r 2. If the electric potential is known at every point in a region of space, the electric field can be derived from the potential. In vector calculus notation, the electric field is given by the negative of the gradient of the electric potential, E = −grad V.

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45gram of ampicillin would be needed.

Final concentration of ampicillin solution = 100mg/ml

It means that 1 ml of solution will have 100 mg ampicillin

So, 450 ml of solution will have = 450 * 100 = 45000 mg ampicillin

45000 mg = 45 gram

Hence, to make 450 ml of solution 45 gram of ampicillin would be needed.

Ampicillin: at a final concentration of 100ug/ml, add 1 ml of ampicillin (at a concentration of 100 mg/ml) per liter of agar.

Add 10 mL of d H2O to 1 g of Amp powder.

When powder is completely dissolved, vortex.

Use a sterile 0.22 mm filter to sterilize.

Store at -20 °C and aliquot 1 mL of the amp solution into a 1.5 mL tube.

How is ampicillin 50 mg/mL produced?

Ampicillin sodium salt 500 mg can be dissolved in water to a final volume of 10 ml to create a 50 mg/ml stock solution.

With 1 mL, 1.8 mL, 3.5 mL, and 6.8 mL of each of the following: 250 mg, 500 mg, 1 g, and 2 g vials

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The typical patterns of GDP, both in the long run and in the short run, will be fluctuate.

GDP can be defined as across domestic product in which the markets are the company economy is being measured. It is relation to the monetary policy and the market value of the good which is being brought or sold in the market

There will be a GDP that will be running for the long run and also in the short run depending on the economic condition. This determines to start the good for the services retailing provided is in the flow or not, this depends on the flow of money in the market.

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A stone that is thrown with an initial velocity of 7.0 m/s and the acceleration of the stone is constant and has the value of -9.8 m/s2, then the velocity of the stone is 2.1 m/s

The vector quantity of velocity (v) can be denoted by the equation v = s/t. This also quantifies displacement (or change in position, s), over the change in time (t). Speed (or rate, r) is a scalar number, denoted by the equation r = d/t, that quantifies the distance travelled (d) over the change in time (t).

Here are the three equations:

S = ut + 1/2at^2,

v = u + at,

v^2 = u^2 + 2as.

The data obtained from the question is:

Initial velocity (u) = 7 m/s

Time (t) = 0.50 s

Final velocity (v) =?

Since the stone is thrown upward, it means that this stone is going in a direction against gravity.

Thus, the value of the acceleration due to gravity will be found out in negative i.e – 9.8 m/s²

Thus, we can obtain the final velocity of the stone after time 0.50 s as follows:

Initial velocity (u) = 7 m/s

Time (t) = 0.50 s

Acceleration because to gravity (g) = – 9.8 m/s²

Final velocity (v) =?

v = u + gt

v = 7+(– 9.8 × 0.5)

v = 7 – 4.9

v = 2.1 m/s

Therefore, the final velocity of the stone calculated after 0.5 s is 2.1 m/s.

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The speed of the tape, in metres per minute is 1.44 meter per minute

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

With the above formula, we can obtain the speed of the tape. Details below

The following data were obtained from the question:

The speed of the tape can be obtained as illustrated below:

Speed = distance / time

Speed = 260 / 180

Speed = 1.44 meter per minute

Thus, the speed of the tape is 1.44 meter per minute

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By using electrostatic force, the charge is 1.05 x 10¯⁵ C..

We need to know about electrostatic force to solve this problem. The electrostatic force is a force caused by two charges separated at a distance. It can be determined as

F = k . Q1 . Q2 / r²

where F is force, k is coulomb's constant (9 x 10⁹ Nm²/C²), Q is charge and r is radius.

From the question above, we know that

Q1 = Q2 =Q

r = 1 m

F = 1 N

By using the equation, we can calculate the charge

F = k . Q1 . Q2 / r²

1 = 9 x 10⁹ . Q . Q / 1²

Q² = 1/(9 x 10⁹)

Q = 1.05 x 10¯⁵ C

Hence, the charge is 1.05 x 10¯⁵ C.

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The sum of the forces F[1] = 200 N and F[2] = 160 N acting opposite to each other in vector form is 40 [tex]a_{x}[/tex] along the negative x - direction.

We have two forces of 200 N and 160 N acting opposite to each other.

We have to determine their sum.

Force is the product mass and acceleration of a body. Mathematically -

F = m x a

According to the question -

We have two forces represented by two vectors having angle of 180 degrees between them. The mathematical representation of these vectors is shown below -

F[1] = + 160 [tex]a_{x}[/tex].   [along the positive x - axis].

F[2] = - 200 [tex]a_{x}[/tex].   [along the negative x - axis].

Now, the sum of the forces will be -

F(N) = F[1] + F[2] =  160 [tex]a_{x}[/tex] + (- 200 [tex]a_{x}[/tex]) = - 40 [tex]a_{x}[/tex]

Hence, the sum of the forces is 40 [tex]a_{x}[/tex] along the negative x - direction.

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Answer:

I think the answer is coconut

Explanation:

please make my answer as brainelist

The environmental problems directly related to energy production and consumption include air pollution, climate change, water pollution, thermal pollution, and solid waste disposal. The emission of air pollutants from fossil fuel combustion is the major cause of urban air pollution.

Any substance (solid, liquid, or gas) or energy can cause pollution (such as radioactivity, heat, sound, or light). Both naturally occurring contaminants and imported substances/energies can be considered pollutants, which are the elements of pollution. Despite the fact that natural disasters can result in environmental contamination, the word pollution often suggests that the toxins came from an artificial source, or a source made possible by human activity. Point source and nonpoint source pollution are two common categories of pollution.

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The ratio of the masses of the toy cars is 1 : 3 : 6.

When the mass of object increases, the force of gravitational attraction between them also increases.

The ratio of the masses of the toy cars is calculated as follows;

Ratio of masses = 0.3 kg/0.3 kg :  0.9 kg/0.3kg :  1.8 kg/0.3 kg

Ratio of masses = 1 : 3 : 6

Thus, the ratio of the masses of the toy cars is 1 : 3 : 6.

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As total torque is positive . That means it will not be in state of rotational equilibrium . So it will rotate about its centre of mass. Net torque will produce angular acceleration

Angular acceleration, moreover called rotational acceleration, could be a quantitative expression of the change in precise velocity that a spinning object undergoes per unit time. It may be a vector quantity, comprising of a magnitude component and either of two characterized directions or senses. The size, or length, of the angular acceleration vector is specifically relative to the rate of change of precise speed, and is measured in radian s per moment squared (rad/s 2 or rad · s -2 ). Then again, the precise acceleration magnitude can be communicated in degrees per moment squared (deg/s 2 or deg · s -2 ).

The direction of the angular acceleration vector is opposite to the plane in which the turn takes put. In case the increment in angular speed shows up clockwise with regard to an observer, at that point the precise increasing speed vector focuses absent from the spectator. In case the increment in angular speed shows up counter clockwise, at that point the precise increasing speed vector focuses toward the eyewitness.

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The one that  represents a car with positive acceleration is graph number III.

The term velocity has to do with the change of displacement with time. The acceleration is the change in velocity with time. We know that the slope of the velocity time graph is the acceleration. Uniform velocity occurs when the displacement increases in equal amounts in equal time intervals thereby leading to a straight line graph.

Hence a positive acceleration is only possible when the velocity is increasing in  equal amounts in equal time intervals

We can see from the graphs that the one that  represents a car with positive acceleration is graph number III.

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If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

The motion of planets and their satellites is governed by Kepler’s Laws.

Kepler’s Laws are as follows:

According to the law of periods, the square of the time period of a body revolving around another body is proportional to the cube of the distance between the two bodies

The above statement is given by the following formula

T^2 ∝ R^3

Putting T1 = 28 days , T2 = x and R2 = 2R1

T1/T2 =(R1/R2)^3

28/x = (1/2)^3

x = 79 days.

Thus, If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

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If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

The motion of planets and their satellites is governed by Kepler’s Laws.

Kepler’s Laws are as follows:

Law of Orbits

Law of Areas

Law of Periods

According to the law of periods, the square of the time period of a body revolving around another body is proportional to the cube of the distance between the two bodies

The above statement is given by the following formula

T^2 ∝ R^3

Putting T1 = 28 days , T2 = x and R2 = 2R1

T1/T2 =(R1/R2)^3

28/x = (1/2)^3

x = 79 days.

Thus, If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

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By unit conversion, Steve's peak speed in kilometers per hour is 2.844 km/h.

We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as

a = xb

where a is unit a, b is unit b and x is the constant of conversion.

From the question above, we know that

v = 79.5 cm / s

The unit conversion that we used is (1 cm = 10¯⁵ km) and (1 second = 1/3600 hour)

Hence, the speed in kilometers per hour is

v = 79.5 cm / s

v = 79.5 x 10¯⁵ km/ (1/3600) h

v = 711/250 km.h

v = 2.844 km/h

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The velocity remains the same as the person is walking on the land itself. so, velocity with respect to land is 1.8m/s.

The velocity of an object in relation to another observer is known as its relative velocity. It is the pace at which one object's relative location changes in relation to another object over time. in this case the vector addition of object with respect to ship is added to land but since the object itself move on the ground it becomes zero. so, the velocity is 1.8m/s itself. velocity is a term that describes the speed and direction of a point's motion. For example, a circular path's direction is always perpendicular to a line from the point to the circle's center. A point always moves in a direction that is tangent to its path (a radius).

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