which type of solar energy technology(s) can continue to generate electricity for a while after the sun goes down? select all that apply.

Answers

Answer 1

Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.

How can we harness the sun's energy?

Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.

What exactly is a solar power system?

In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.

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Answer 2

Grid-Tied Residential Solar Cells energy technique (or technology(s)) can keep producing electricity after the sun sets for a while.

How can we harness the sun's energy?

Solar energy collectors and photovoltaic solar systems are two ways that human ingenuity has created to harness solar energy and convert it into electricity. A solar thermal process utilizes the heat from the sun to create steam, which powers a turbine and ultimately creates electricity.

What exactly is a solar power system?

In addition to the components that convert the immediate (DC) electricity generated by modules into the ac current (AC) electricity needed to power all of the home's appliances, systems also feature mounting structures that guide panels toward the sun.

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Related Questions

Gwen Goldfish, a speed swimmer, loves to race around the park’s pond, which is 1 kilometer around. If she can swim 20 laps around the track in 2 hours, what is her average speed?

Answers

The average speed of swimmer is 10 km/hr.

Speed is the rate of change of position of an object in any direction.

Distance is the total movement of an object without any regard to direction.

Given distance of pond is 1 km.

She swims 20 laps , i.e. total distance = 20 * 1 km = 20 km

Time taken to complete = 2 hr

There a relation between speed distance and time which is given by:                      

                         Speed = Distance / Time

                      ⇒Speed = 20/2 = 10 km/hr

So the average speed of swimmer is 10 km/hr.

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b) if the moon followed the same orbital plane but was twice as far away, would there be solar eclipses?

Answers

The Moon's phases would not change, and total solar eclipses would not be conceivable. A 5° angle separates the Moon's orbital plane from the Earth's (ecliptic) orbital plane.

What would happen if the moon was in the same orbital plane as Earth?

The Moon could never entirely cover the solar disk if it were any smaller or orbited the Earth any further away. If the Moon were a little bit bigger or orbited the Earth a little bit closer, it would cover much of the sun's corona during totality, making eclipses far less impressive. One orbit of the moon around the Earth is completed in around one month.

There would be at least two eclipses per month if the moon orbited in the same plane as the ecliptic, the Earth's orbital plane. Ides would be far higher.The moon would produce eight times more powerful tidal forces (tides are inversely proportional to the cube of distance). The moon would seem in the night sky four times as brilliant and twice as large.

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nuclear decay occurs according to first-order kinetics. a nuclide decays in 3.40 days from 45.0 g to 12.1 g. what is the rate constant for the nuclide?

Answers

The equilibrium law for the nuclide is 0.388 days per one, according to the release.

We may make comparable calculations using the half-lives of isotopes to calculate the ages of geological and archaeological objects since nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment.

The elimination rate in relation to the total plasma concentration is the primary distinction between zero and first-order kinetics. No matter the plasma concentration, zero-order kinetics exhibit constant elimination, which is followed by a linear elimination phase as the system reaches saturation.

The first-order radioactive decay law states that the number of radioactive atoms (N) present at time t determines the rate of decay (number of disintegrations per second) i.e. N = No e-λt

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what wavelength of light has a frequency of 1.8 x 1013 s-1? what is the energy of one photon of that light?

Answers

The energy of one photon of the light is 1.19 x [tex]10^{-11}[/tex] J.

What is Planck's equation?

According to this, electromagnetic radiation from heated bodies emits in discrete energy units or quanta, the size of which depends on a fundamental physical constant (Planck's constant).

We know that,

E = hν

Where,

E = Energy

h = Planck's constant

ν = Frequency

Note: Planck's constant has value of 6.63 × [tex]10^{-3}[/tex][tex]\frac{J}{s}[/tex]

Putting values in the given formula

E = 6.63 × [tex]10^{-3}[/tex] [tex]\frac{J}{s}[/tex] × 1.8 × [tex]10^{13}[/tex] [tex]s^{-1}[/tex]

E = 1.19 x [tex]10^{-11}[/tex] J.

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A 3,565 kg car moving at 27.2 m/s hits a stationary truck with a mass of 3,692 kg. If the two vehicles become stuck together in the collision, how fast do they move away from the point of impact?

Answers

To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the car before the collision is 3,565 kg * 27.2 m/s = 97,068 kgm/s, and the initial momentum of the truck before the collision is 0 kgm/s, since it is stationary. After the collision, the two vehicles become stuck together and move away from the point of impact with a combined mass of 3,565 kg + 3,692 kg = 7,257 kg. Since the total momentum of the system must remain constant, the combined velocity of the two vehicles after the collision must be equal to the total initial momentum of the car and truck before the collision, or 97,068 kg*m/s.

Therefore, the combined velocity of the two vehicles after the collision is 97,068 kg*m/s / 7,257 kg = 13.4 m/s. This is the speed at which the two vehicles move away from the point of impact. Note that this is a bit less than half the initial speed of the car before the collision, which is expected since the combined mass of the car and truck is greater than the mass of the car alone, and the momentum of the system must be conserved.

Draw a circuit diagram to show how water conducts electricity

Answers

Given is the diagram to show that water conducts electricity.

Water is a good conductor of electricity. The ions in the water conduct electricity because of their positive and negative charges. When the electrolytes tend to dissolve in the water, they get split into cation or positively charged and anions or negatively charged particles.

Take a beaker and fill it half with water.Connect a battery with a bulb and switch along with two rods as shown in figure.Put the rods in beaker.Turn on the switch.The bulb glows.

Now remove water from beaker and then repeat the steps.

You will observe that bulb doesn't glow.

This experiment confirms that water is good conductor of electricity.

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a wire with mass 40.0 g is stretched so that its ends are tied down at points 80.0 cm apart. the wire vibrates in its fundamental mode with frequency 60.0 hz and with an amplitude at the antinodes of 0.300 cm. (a) what is the speed of propagation of transverse waves in the wire? (b) compute the tension in the wire. (c) find the maximum

Answers

The speed of propagation of the transverse wave in the wire is 4800 cm/s. The tension in the wire is 15.71 N and the maximum transverse acceleration is 11,105,600 cm/s².

A transverse wave is a type of wave in which the particles of the medium move in a direction perpendicular to the direction of energy propagation. Examples of transverse waves include light, radio, and other types of electromagnetic waves.

The speed of propagation is the speed at which a signal travels through a medium, such as a wire, fiber optic cable, or radio wave.

(a) Speed of propagation of the transverse wave in the wire =

v = λf

= (80.0 cm) (60.0 Hz)

= 4800 cm/s

b)Tension in the wire = F/A

= m(ω² X A_max) / A

= (40.0 g)(2π² X 60²  X 0.300 cm²) / (80.0 cm)²

= 15.71 N

(c) Maximum transverse velocity = A_max X ω

= 0.300 cm X 2π X 60 Hz

= 1842.4 cm/s

Maximum transverse acceleration = A_max X ω²

= 0.300 cm X (2π X 60)²

= 11,105,600 cm/s²

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what is the final speed of the stationary ball if the incoming ball is much more massive than the stationary ball?

Answers

Similar to a head-on shot only with cue ball on a pool table, the projectile shall come to rest and the target will go off with an equal velocity for a head-on impact with a stationary vehicle of equal mass.

Is final velocity and speed same?

It's easy to understand why. Velocity is the pace and orientation of an object's movement, whereas speed is really the time rate that an object is travelling along a path. In other words, velocity is a vector, whereas speed is just a scalar value.

How can a distance-time graph be used to determine final speed?

The gradient of a line - of - sight graph is equal to the alteration in space divided by the difference in time. Thus, the grade of a graph of distance vs time is equal to the speed of a item whose motion is captured by the line that plots the changes in distance over time.

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If you could take an escalator up the stairs instead of walking, how much work would the escalator do compared to your walking up the stairs?

Answers

The amount of work required to climb steps or to remain motionless while mounting a moving escalator is the same in both situations, however in the first case, the effort is in pushing the body upward, whereas in the second, it is in pushing the escalator downward.

What is work?

In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.

The length of the path is multiplied by the component of the force acting along the path to calculate work if the force is constant. The work W is theoretically equivalent to the force f times the distance d, or W = fd, to represent this idea. Work is done when a force is applied at an angleα of to a displacement, or W = fd cosα.

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a car starts from rest and goes down a hill with a constant acceleration of 5 m/s2 after 5s the car reaches the bottom of the hill what is the car's final speed

Answers

Answer:

25m/s

Explanation:

Velocity Final is equal to velocity initial plus acceleration times time

(Vf=Vi+at)

Vi=0

A=5

T=5

Vf=0+5x5

vf=5x5

Vf=25 m/s

which of the five scientists discussed in chapter 21 constructed the heliocentric model of the solar system placing the sun at the center?

Answers

Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.

Heliocentric is the model we use today, where we all revolve around the sun. Geocentric was a model that was long ago discarded after the discovery of telescopes.

The heliocentric model opposes the geocentric model by placing the sun at the center of the solar system as opposed to the earth as it is with the geocentric model.

It is a model in which Nicolaus Copernicus believed that the sun was in the center of the solar system and other celestial bodies were revolving around this.

This was Nicolaus's unorthodox idea that he was having in his mind and constructed the model which was later supported by Galileo and was established  by Galileo that this model was correct.

Therefore, Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.

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a student walks 3 blocks south and 4 blocks west. what is the displacement of the student?question 3 options:7blocks sw6 blocks sw5 blocks sw4 blocks sw

Answers

A student walks 3 blocks south and 4 blocks west. The displacement of the student is 5 blocks SW.

Given that, the student walks 3 blocks south (AB) and then walks 4 blocks west (BC).

When we draw this on a paper, we find that we have drawn two sides of triangle. The displacement of the student would be the third side i.e, the hypotenuse of the triangle.

Applying Pythagoras theorem, we have

AB² + BC² = CA²

where, AB and BC are the two sides of the triangle

CA is the hypotenuse side of the triangle

From the above formula, CA = √(AB² + BC²)

Substituting in the formula, we have,

CA = √(3² + 4²) = √25 = 5

The hypotenuse side of the triangle is formed on the South-West side of the triangle.

Thus, the displacement is 5 blocks SW.

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roller coasters are popular attractions at amusement parks. a cart on a roller coaster approaches the highest point on the coaster. as the cart reaches the top, it slows down.

Answers

The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.

At the top of the loop, what kind of potential energy does the roller coaster have?

The energy that an item has due to its height is called gravitational potential energy (PE = mgh), and it is equal to the mass of the object times its height times the gravitational constant. On a roller coaster, the gravitational potential energy is greatest at the top and lowest at the bottom. As the roller coaster speeds down the hill, the potential energy it had while on a slope is transformed into kinetic energy. The roller coaster slows down as it ascends yet another hill. Potential energy is created from kinetic energy.

How is a roller coaster propelled by energy?

The roller coaster is propelled by the conversion of potential energy to kinetic energy, and after it has descended the first hill, it has all the kinetic energy it will require for the trip. Once you're moving, various wheel designs contribute to a pleasant ride. The coaster's running wheels direct it along the track.

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Calculating Net Force

Answers

For each diagram net force and direction calculated.

Part - 1

1) Net force = 0

no direction

balanced

2) Net force = 87

direction →

unbalanced

3) Net force = 42

direction →

unbalanced

4)  Net force = 0

no direction

balanced

5) Net force = 24

direction →

unbalanced

6) Net force = 0

no direction

balanced

7) Net force = 92

direction ←

unbalanced

8)  Net force = 0

no direction

balanced

Part - 2

1)  Net force = 0

2)  Net force = 10N

3)  Net force = 12

4)  Net force = 0

5)  Net force = 39N.

How is net force balanced calculated?

Here g stands for gravitational force. Numerous additional forces, such as gravitational force Fg, frictional force Ff, and the normal force, act on the body when a force is applied to it. These additional forces serve to balance the applied force. FNet = Fa + Fg + Ff + FN is the result, and it represents the net force formula.

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how far does a single point on a string move during one period of a transverse wave that passes by that point?

Answers

Distance between two waves' crests or troughs , λ = v/k

What is distance?

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traversed.

The speed at which a wave moves with particles oscillating about their mean location is known as its way velocity.

v = kλ is the formula for calculating wave velocity.

Where f represents the wave frequency or the number of waves passing through a place in a given amount of time.

The distance between two waves' crests or troughs that follow one another = λ

therefore distance, λ = v/ki

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a hiker of mass 59 kg is going to climb to the top of mount tam, which has an elevation of 2,574 ft.part (a) if the hiker starts climbing at an elevation of 560 ft, what will their change in gravitational potential energy be, in joules, once they reach the top? assume the zero of gravitational potential energy is at sea level.

Answers

457280.13 8 J change in gravitational potential energy is needed.

where

m = 68 kj

H = 2574 ft

where = 32 5 ft

a )if Gravitational potential energy is zero at see level .

then at strating

point,

Equation

G. P . E ( Ui ) = mgh

Change in G PE ;

AU = UJ - Vi

= mgy- mgh = mg ( H-h)

= 68 x9.81 [2574 - 325 0.3048

AU = 457280' 138 Joules

at top

GPE ( Uf ) = mgy

P . E = 0

GPF = Gravitational potential Energy .

at Top ape = 0

b)then change in GPE ;

ΔU = U(top) - Vata

= 0 - [-mg ( 4-h )]

= mg ( H-h j

= 68 * 9 . 81 [ 257 4 - 325 ) 0.3048

ΔU = 45 7280 . 13 8 J.

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what is the magnitude of the momentum of a billiard ball if it is traveling with a velocity of 3m/s due to east, and has a mass of 0.2 kg?

Answers

This is the magnitude of the momentum of the billiard ball is 0.6kgm/s.

The magnitude of the momentum of an object is given by the formula

p = mv

where m is the mass of the object and v is its velocity. Substituting the given values, we find that

p = (0.2 kg)(3 m/s) = 0.6 kgm/s.

Momentum is a measure of an object's tendency to continue moving in a straight line at a constant velocity. It is defined as the product of the object's mass and its velocity. The magnitude of an object's momentum is a measure of its strength or force and is directly proportional to the object's mass and velocity.

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A 65 kg speed skater is racing around a circular track. The track has a radius of 20 m. It
takes the skater 10 seconds to complete one lap. Calculate the skater’s acceleration

Answers

The acceleration of the skater is: 1.97 m/s²

What is acceleration?

Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.

Time, (t) = 10 sec

Frequency (F) = 1/t = 0.1 Hz.

Velocity, (V) = r × ω

V = 10 x (2 Π/10)

V = 6.28 m/s

Now, Centripetal acceleration,

a = v²/r

or, a = (6.28)²/20

or, a = 1.97 m/s².

Now, the acceleration of the skater is: 1.97 m/s².

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based on what you know about asteroids, select all of the correct statements from the following list.

Answers

These are the correct statements. 1) Most asteroids show no evidence of geological activity. 2) Most asteroids have been broken by impacts. 3) There are some asteroids found in Jupiter's orbit. 4) Kirkwood's gaps are caused by Jupiter.

Asteroids have no internal heat, so they are not geologically active.

The asteroids were formed in the early solar system from the gradual agglomeration of smaller particles. Their growth was restricted because of mutual collisions that impacted them to fragment.

The Jupiter trojans are found in the planet Jupiter's orbit.

The Kirkwood gaps are created by the orbital resonances between Jupiter and the asteroid belt. Orbital resonances is defined as the simple integer ratios of the distances between bodies in the case the overlapping gravitational forces create a pattern of strong and weak gravitational fields.

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1) A net force of 2.5 N is applied to an object with a mass of 16.2g what’s the acceleration?

Answers

Answer: To determine the acceleration of an object in response to a net force, you can use the equation a = F/m, where a is the acceleration, F is the net force, and m is the mass of the object. In your case, the net force is 2.5 N and the mass of the object is 16.2 g. Since the units of force are in newtons and the units of mass are in grams, you will need to convert the mass to kilograms before plugging the values into the equation.

One kilogram is equal to 1000 grams, so 16.2 grams is equal to 0.0162 kilograms. Plugging this value into the equation, we get:

a = F/m

a = 2.5 N / 0.0162 kg

a = 154.32 m/s^2

Thus, the acceleration of the object in response to the net force of 2.5 N is 154.32 m/s^2.

5-ohm resistor is connected to a 1.5 V battery. The 5-ohm resistor is replaced with a smaller resistor.
In order to keep the current through the resistor the same, what should be done to the voltage of the
battery?
(A) Increase it
(B) Decrease it
(C) Keep it the same

Answers

Answer c keep it the same

How much work is done by a 10 N frictional force which slows a moving block to a stop after a displace ment of 5.0m to the right?
a) 50J
b) -50J
c) 25J
d) -25J

Answers

Answer:

a)

Explanation:

work done = Fscosθ

=(10)(5)(cos0⁰)

=50J

Drag each tile to the correct location.An aspect of climate change involving cloud cover is one example of a negative feedback loop. Complete the steps of this negative feedback
loop.
increased formation
of clouds
decreased temperatures
increased evaporation
from oceans
increased carbon dioxide in
atmosphere
increased greenhouse effect
and warmer temperatures
1
+
increased precipitation
Edmentum. All rights reserved.

Answers

The term "climate change" refers to a long-term change in the average weather or climate.

How to illustrate the information about climate change?

Changes in the average temperature, the direction of the dominant wind, and the water cycle, which affects cloud cover and precipitation on earth, are the most obvious signs of the change. The size of ice caps and glaciers as well as desertification, wetlands, flooding from rivers that overflow their banks, and desertification are all affected by these changes. Long-term climate changes also have an impact on sea currents, sea level, and seawater salinity.

The observed global warming at the turn of the 20th century brought climate change to light. There have been times in the past that were particularly hot and humid on land or extremely hot and dry. On Earth, it has also been much colder than it is right now, such as during the ice ages. The polar regions and areas near latitudes with a moderate climate today show the biggest variations in climate between the various periods.

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A 2100-kg car is traveling at 25 m/s when it crashes into the rear end of a 1650-kg
car traveling at 21 m/s in the same direction on nearly frictionless ice. The two cars
become stuck together and slide on the ice. How fast do the two cars move together
immediately after the collision?
A)22 m/s
B)23 m/s
C)21 m/s
D)18 m/s

Answers

The two cars will move with a velocity of 23m/s(optionB)

What is linear momentum?

Linear momentum is the product of a system’s mass and its velocity. In equation form, linear momentum p is

p=mv.

Where m is the mass of the body and v is the velocity at which it moves.

The momentum of the first call = 2100× 25=52500kgm/s

The momentum of the second car = 1650×21= 34650kgm/s

The total momentum before collision = 52500+34650=87150kgm/s

momentum after collision= (2100+1650)v= 3750v

law of conservation of Linear momentum states that; momentum before collision = momentum after collision

Therefore 87150= 3750v

v = 87150/3750

v= 23m/s( nearest whole number)

Therefore the velocity of the two cars after collision is 23m/s.

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as the glacier melts, water travels toward the ocean along the geological feature labeled x. when water erodes soil along this feature, the feature will most likely become —

Answers

When water erodes soil along the feature, the feature will most likely become wider.

What does the volcanoes' tectonic behavior imply?

The creation of an island arc by the volcanoes indicates a converging plate boundary. A diverging plate boundary is shown by the line of volcanoes. Two plates clashing results in faulting and magma formation. These tectonic motions result in earthquakes, mountain formation, and volcanism.

How does the water change when a glacier melts?

Temperature increases cause mountain glaciers to melt, changing the water supply. As the glacier melts, more water first moves lower and away from the glacier. The water supply will be diminished as the glacier retreats, and towns, cities, and farms could lose a significant source of water.

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Is the coefficient of friction between the sole of a shoe and a given surface the same as the coefficient of friction between the top of the same shoe (vamp of shoe) and the surface? Explain

Answers

With shoes without slip-resistant bottoms, the coefficient of friction on ice, wet, and oily surfaces can be as low as 0.1. On brushed concrete, rubber-soled shoes can produce a coefficient of friction greater than 1.0.

Does the coefficient of friction differ between different surfaces?

The nature of both surfaces affects the coefficient of friction between two surfaces. For instance, a block of ice will have a different coefficient of friction on a surface made of copper than a block of wood will have on the same surface.

What is the amount of friction there is between the surface and the object?

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (). In terms of math, is equal to F/N, where F stands for frictional force and N for normal force.

Is the friction coefficient constant?

Motionless items frequently experience greater friction than moving ones, requiring more power to set them in motion than to keep them there. The coefficient of friction between moving and stationary objects is not always the same.

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sara, who weighs 69 kg, is on a guilt trip after eating a 838-calorie (838 kcal) breakfast of pancakes loaded with fruits, cream, and syrup. she decides to work out before going to her weekly weight-watchers' meeting. if the height of a single stair is 12 cm, and her body is only 27% efficient in converting chemical energy to mechanical energy, determine the number of stairs sara must climb to cancel out the calories consumed.

Answers

The number of stairs Sara must climb to cancel out the calories consumed is 11667 stairs

How do I determine the number of stairs?

To obtain the number of stairs Sara much climb, we'll begin by obtained the total height. This can be obtained as follow:

Mass (m) = 69 KgEnergy consumed = 838 Kcal = 838 × 4184 = 3506192 JPercentage conversion = 27%Mechanical energy (E) = 27% × 3506192 = 946671.84 JAcceleration due to gravity (g) = 9.8 m/s² Total Height (h) = ?

E = mgh

946671.84 = 69 × 9.8 × h

946671.84 = 676.2 × h

Divide both sides by 676.2

h = 946671.84 / 676.2

h = 1399.99 m

Finally, we shall determine the number of stairs. Details below:

Total height = 1399.99 m = 1399.99 × 100 = 139999 cmHeight of one stair = 12 cm Number of stairs =?

Number of stairs = Total height / height of one stair

Number of stairs = 139999 / 12

Number of stairs = 11667 stairs

Thus, the number of stairs is 11667 stairs

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define from which of Earth's systems are mineral resources obtained?

Answers

Sources of mineral resources are most commonly magma, sediments, or hydrothermal fluids.

Examples of mineral resources are iron, diamond, gold, silver, copper, aluminum, granite, marble, clay, salt, rare earths or fossil fuels.

What are mineral resources?

A mineral resource is a concentration of natural solid inorganic or fossilized organic matter, including metals, coal and minerals, in sufficient quantity and quality to have reasonable prospects for economic exploitation. This definition has a broader scope than mineral reserves that are likely to be economically recovered based on consideration of technical, economic, and legal concerns.

Mineral resources means minerals, naturally occurring solid inorganic substances, or naturally occurring solid fossilized organic substances (including base metals, precious metals, coal and industrial minerals), in or on the earth's crust, such Means concentrated or occurring in form and quantity and in its grade or quality. There are reasonable prospects for economic development. The location, quantity, grade, geological features and continuity of Mineral Resources are known, estimated or interpreted on the basis of specific geological evidence and knowledge.

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What is the relationship between the magnetic force and the distance between the magnets?

Answers

The strength of the magnetic force is inversely proportional to the square of distance between the magnets. Thus, as the distance increases, force between the magnets decreases.

What is magnetic force?

Magnetic force, is the force generated by magnetic flux lines arised from a magnetic field.  A magnet have a south pole and north pole. There will be repulsive force between two like poles and attractive force between two unlike pole.

The force between two objects is always in inverse proportion with the distance and this is well explained by Coulomb's law of forces.

Thus, F ∝ 1/r² where, r is the distance.

Therefore, as the distance between two magnets increases the magnetic force between them decreases.

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A dart with a mass of 0.6 kg is thrown at 10.8 m/s and sticks into a 1.9 kg apple hanging
on a string. What is the velocity of the dart and apple just after the dart is embedded?

Answers

The x component of the center of mass's velocity vector cannot change since the overall momentum is conserved. Consequently, the apple's and dart's velocity is 5 m/s.

What is the speed of the apple and dart right after the dart has pierced it?

Equation 1: According to the equation of conservation of momentum, mu+m'u' = V(m+m')

Where m is the dart's mass, m' is the apple's mass, u is the dart's initial velocity, u' is the apple's initial velocity, and V is the dart and apple's subsequent velocity after becoming embedded.

Making V the equation's object,

V = (mu + m'u ) / (m + m )

Given: u = 15 m/s, u' = 0 m/s, m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg ( at rest)

Replace in equation 2

V = (0.05×15+0.1×0)/(0.05+0.1)

V = 0.75/0.15

V = 5 m/s.

Consequently, the apple's and dart's velocity is 5 m/s.

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