Find the work done on a 50 Kg student by the elevator in 2 seconds, if the elevator is :
1) Accelerating upwards from rest at a rate of 2 ms-2
2) Accelerating downwards from rest at a rate of 2 ms-2
3) Decelerating upwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
4) Decelerating downwards from an initial speed of 4 ms-1 at a rate of 2 ms-2
5) Moving upwards at a speed of 2 ms-1
6) Moving downwards at a speed of 2 ms-1
( Let g = 10 ms )

Answers

Answer 1

The work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻² would be

What is work done?

The total amount of energy transferred when a force is applied to move an object through some distance.

The work done is the multiplication of applied force with displacement.

Work Done = Force × Displacement

As given in the problem we have to find the work done  on a 50 Kg student by the elevator in 2 seconds if the elevator is  accelerating upwards from rest at a rate of 2 ms⁻²,

Lets us first calculate the displacement of the elevator in 2 seconds if it is accelerating upwards from rest at a rate of 2 ms⁻².

s = ut + 0.5at²

  = 0 + 0.5×2×2²

  = 4 meters

The work done on the elevator = mgh

                                                    =50×9.81×4

                                                    =1962 joules

Thus, the work done on the elevator would be 1962 joules.

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Related Questions

What is Einstein’s equation ?

Answers

He has derived a lot of equations but the most common one is E=mc^2

(Energy=Mass×Speed of light squared)

I don't know how to work this, I'm very confused
How do I find the distance and displacement? (for both problems)

Answers

Answer:Доброе утро, отв

Explanation:

Доброе утро, отвДоброе утро, ответт

______ resources include biodiversity, energy, land and
soil, and water resources.

Answers

Answer : Natural

Explanation : Natural resources are the resources that are found in the environment and are developed without the intervention of humans

Natural resources!

Explanation:
Natural resources are the resources that are not manmade. They were made by nature. Example: water, soil, energy, land, biodiversity. None of these can be made by mankind, therefore they are natural resources

Predict the effects of a drug that blocks the sympathetic nervous system on blood pressure and heart rate. how would this drug affect the three factors that determine blood pressure?

Answers

It would decrease cardiac output, peripheral resistance, and blood volume.

Cardiac output (CO), the volume of blood the heart pumps each minute, is the mechanism through which blood circulates throughout the body, particularly supplying the brain and other crucial organs with blood flow. When exercising, for example, the body's need for oxygen fluctuates, and changing both heart rate (HR) and stroke volume affects cardiac output (SV).

As a result, a complicated mechanism combining the autonomic nervous system, endocrine, and paracrine signaling pathways is responsible for controlling cardiac output. Every tissue in the body depends on the heart to pump blood to it in order to survive, hence any cardiovascular failure could have a large negative impact on morbidity and mortality.

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The kinetic and potential energy of a harmonic oscillator in motion:_________
a. are time-independent
b. are perfectly correlated
c. are independent
d. are perfectly anticorrelated

Answers

The kinetic and potential energy of a harmonic oscillator in motion

d) are perfectly anti-correlated.

Explanation:

A restoring force in a harmonic oscillator works in the direction of an equilibrium point.

Simple harmonic motion, which we refer to as repetitive motion, is produced by the force.

The system's mechanical energy, which includes both potential and kinetic energy, is ideally constant.

In actuality, the energy is preserved by allowing one quantity to grow as the other shrinks, and vice versa.

An anti-correlation is a term that describes a negative correlation.

Kinetic energy and potential energy are two types of energy that are frequently found in mechanical systems and are referred to as mechanical energy in physics.

The idea of mechanical energy conservation is based on an even more general principle known as the law of conservation of energy; the only distinction is that in mechanical energy conservation, all of the system's energy is either in the form of kinetic energy, potential energy, or both.

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Convert Kg to g
i. 6.57 Kg

Answers

Answer:

Kg to g we multiply by 1000

Explanation:

6.57×1000=6570g

Please can someone really smart answer my quetion about physical change??

Answers

The properties of physical changes of matter include the following:

no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversible

What is physical change?

Physical change is a form of change that occurs in matter in which no new substances are formed.

Matter undergoes two types of changes:

physical change, andchemical change

Physical change is a change that affects or changes only the physical properties of a substance.

The physical properties of matter include the following:

densitycolorphysical statevolumeshape, etc.

During physical changes of matter, the following are observed:

no new substances are formedno large heat changes are involved except in processes of change of statethe changes are easily reversible

Examples of physical changes include:

evaporation of watermelting of icemelting of candle waxdissolution of sugar in waterdissolution of salt in water

In conclusion, physical changes are changes which affect only the physical properties of a substance and in which no new substance is formed.

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Find the length of the shortest curve between (1, 0, 0) and (1, 1, 1) on the surface x 2 y 2 = z 2 1. be sure to explain why your answer is correct.

Answers

The length of the shortest curve would be √2.

Calculation

The paraboloid x2 + y2 = z2 + 1 is a doubly ruled surface, which means, it can be swept out by a moving the line in space in two different ways.

So, then we have to verify the fact that the line defined by the two given points lies entirely on the surface of the paraboloid.

The vector valued function that describes the straight line connecting the points (1, 0, 0) and (1, 1, 1) is

r (t) = < 1, t, t >, t ∈ R

and it can be stated by inspection that this satisfies the equation of the paraboloid.

Thus, it is found that the length of the line segment connecting the points is √2

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Can one individual represent an entire population? Why or why not

Answers

Answer: No, they cannot

Explanation:

Because every individual has different emotions, different beliefs.

If we have 50 reported cases of angina and we want to select 5 for further review, then how many ways can we select these cases if order of selection matters?

Answers

We can select the cases in the order of selection matters 254,251,200

Permutation is the act of putting all the members of a set into a sequence or order in mathematics. In other words, if the set is already sorted, the act of reordering its pieces is known as permuting. Permutations may be found in practically every branch of mathematics, at varying degrees of prominence. They frequently appear when alternative orderings on finite sets are examined. The permutation formula is as follows.

nPr = ((n!) )/((n-r)!)

nPr = ((50!) )/((50-5)!)

nPr = ((50!) )/((45)!)

nPr = ((50*49*48*47*46*45)!)/((45)!)

nPr = 11441304000/45

nPr = 254,251,200

Therefore, there are 254,251,200 ways to select these cases if order of selection matters.

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A hot iron sphere of 200g is kept in 500g of water at 10°C.As a result, the final temperature of water becomes 30°C.Find the initial temperature of the iron sphere.(specific heat capacity of iron =470J/kg°C.​

Answers

The Initial Temperature of the Iron sphere is 253.40 C.

When two items are connected by a permeable barrier and there is no net energy flow between them, they are said to be in thermal equilibrium. This does not imply that no energy passes between the objects in thermal equilibrium; rather, an equal amount of energy flows back.

Thermal equilibrium can also relate to how heat is distributed within a single, isolated body.

Given,

Specific heat of iron = 470 J/KgC

Specific heat of water = 4200 J/KgC

Temperature of Water = 10 C

Final Temperature of Iron = 30 C

Initial Temperature of Iron = T

Heat lost by Iron = Qlost

                             = Miron SΔT

                             = (200/1000) * 470 * (T-30)

Heat gain by water = Qgain

                                 = Mwater SΔT

                                 = (500/1000) * 4200 * 10

According to the thermal equilibrium,

Qlost = Qgain

=> (200/1000) * 470 * (T-30) =  (500/1000) * 4200 * 10

=> T- 30 = 223.40

=> T = 253.40 C

Thus, the Initial Temperature of the Iron sphere is 253.40 C.

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What reason might the Greeks have had not to
question the evidence that heavier objects fall
faster than lighter objects?

Answers

Answer:

The reason that the Greeks might not have had any questions to the evidence that heavier objects fall faster than light objects is because they would be questioning statistics which is that heavier objects and lighter objects do not fall at different rates but at the same its just the pending on the weight ex. a brick and a feather you drop a brick it falls quick because of its weight and a feather because of it's weight it falls a lot slower but at the measurement of the objects falling quicker than the other they don't its irrelevant.

How would you wire together individual solar cells to produce enough voltage to run a small 3.5-v motor? if one solar panel produces 0.5 v?

Answers

It is needed to connect seven solar panels in series to get 3.5 volts.

We need to know about the power supply circuit to solve this problem. When the power supply are connected in series, the total voltage is added up. It can be written as

V = V1 + V2 + .... + Vn

From the question above, we know that

V = 3.5 volt

Veach = 0.5 volt

Hence, we can calculate how many solar cells connected in series

V = V1 + V2 + .... + Vn

3.5 = 0.5(n)

n = 3.5 / 0.5

n = 7

Thus, we need to connect seven solar panels in series to get 3.5 volt.

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A particle has a velocity of v = 4 m/s and acceleration a = 10 m/s2. what is the distance traveled in 1 sec? 7 m 9 m 14 m 25

Answers

The particle with a velocity of 4 m/s and with an acceleration 10 m/s2 in a sec will travel a distance of: 9 m

The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:

x = (vi* t) + (a * t²)/2

Where:

x = distancea = acceleration vi = initial velocityt = time

Information about the problem:

vi= 4 m/sa= 10 m/s²t = 1 sx= ?

Applying the distance formula, we have:

x = (vi* t) + (a * t²)/2

x = (4 m/s * 1 s) + (10 m/s² * (1 s)²)/2

x = 4 m + (10 m/s² * 1 s²)/2

x = 4 m + (10 m)/2

x = 4 m + 5 m

x = 9 m

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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A swimmer can swim at a speed of 0.7 m/s with respect to the water. She wants to cross a river which is 50m North and has a current of 0.5 m/s East. (a) If she wishes to land on the other bank directly at a point directly across from her starting point, in what direction must she swim? How long will it take? (b) 1,5g instead decides to cross in the shortest possible time, in what direction must she swim? How far down stream will she be?

Answers

(a) If she wishes to land on the other bank directly at a point directly across from her starting point, the direction she must swim is 50.3⁰ north east.

(a. ii) The time of her motion is 111.8 seconds.

(b) If she wishes to cross the shortest possible time, then she must swim the shortest possible distance. Her direction must be 90 degrees and she will swim 50 m north.

Time of motion of the swimmer

The time taken for the swimmer to land on the other bank directly at a point directly across from her starting point is calculated as;

(V₁t)² = (d²) + (V₂t)²

where;

V₁ is the speed of the swimmerd is the vertical distance between the swimmer and the river bankV₂ is the speed of the rivert is time of motion of the river

0.7t² = 50² + 0.5t²

0.7t² - 0.5t² = 50²

0.2t² = 2500

t² = 2500/0.2

t² = 12,500

t = √12,500

t = 111.8 seconds

Resultant displacement = V₁t = 0.7 m/s x 111.8 s = 78.26 m

Direction of the swimmer

cos θ = adjacent side / hypotenuse side

cos θ = 50 m / 78.26 m

cos θ = 0.6389

θ = arc cos(0.6389)

θ = 50.3⁰

Thus, if she wishes to land on the other bank directly at a point directly across from her starting point, the direction she must swim is 50.3⁰.

If she wishes to cross the shortest possible time, then she must swim the shortest possible distance. Her direction must be 90 degrees and she will swim 50 m north.

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2. Solve graphically, using the
head-to-tail method.
What is the resultant of
these vectors?
12 units S, 6.0 units E,
3.0 units N

Answers

The result of two or more vectors is the outcome.  it's the outcome of multiplying two or more vectors.  The resultant result of adding the displacement vectors A, B, and C are vector R. An appropriately drawn, scaled, vector addition diagram is often used to compute vector R, as illustrated within the diagram.

What do three resultant vectors add up to?

Afbeeldingsresultat for these vectors' offspring

The outcome of multiplying vectors A + B + C is the same as that of multiplying vectors B + A + C or even C + B + A.  The resultant result will be the same as long as all three vectors are present with the appropriate magnitude and direction. The resultant of two or more vectors is the outcome.

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What is the average amount of teens with cell for the age groups 14, 15, and 16?

Answers

The average amount of small-town teens with cell phones for the age groups 14, 15, and 16 would be 348 as the average is given by the total sum divided by the number of items.

What is multiplication?

Finding the product of two or more numbers in mathematics is done by multiplying the numbers.

As given in the problem we have to find out  the average amount of teens with cells for the age groups 14, 15, and 16,

The average number of teens with cells = (273 + 341 + 430) / 3

The average number of teens with cells = 1044/ 3

                                                                   =348

Thus, the average number of teens with cell phones for the age groups 14, 15, and 16 would be 348.

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The work done to compress a gas is 74 j. as a result, 26 j of heat is given off to the surroundings. calculate the change in internal energy of the gas.

Answers

The change in internal energy is -48 joule.

We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as

ΔU = Q - W

where ΔU is the change in internal energy, Q is heat and W is work done.

From the question above, we know that

W = 74 joule

Q = 26 joule

By substituting the given parameter, we can calculate the change in internal energy

ΔU = Q - W

ΔU = 26 - 74

ΔU = -48 joule

The internal energy change is negative because the work done on the system is greater than the heat released.

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You are preparing to attach wires in a 110 block. You want to connect the wires and trim off the excess at the same time

Answers

To connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.

A 110 block is used to terminate wiring in a cabling system. It is a type of punch down block. This block has a plastic base and have 50 slots for individual wires, meaning it can terminate 25 pairs.

A punch down tool is used insert wire into insulation displacement connectors present in punch down blocks such as 110 block and also in other electrical panels and modules.

Therefore, to connect the wires in a 110 block and trim off the excess at the same time, use a punch down tool with a notched blade and point the cut side of the tool towards the wire end.

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To launch a 100 kg human so that he leaves a cannon moving at a speed of 4 m/s, you need a spring with an appropriate spring constant. This spring will be compressed 2. 0 m from its natural length to launch the person. Which spring constant do you need?.

Answers

To launch a 100 kg human at the given speed, the spring constant needed is 400 N/m.

What is spring constant?

This is the ratio of applied force on a spring to the extension produced  by the spring.

The spring constant of the spring is calculated by applying the principle of conservation of energy.

The elastic potential energy of the spring will be converted into kinetic energy of the human so that the human will be launched at the desired speed.

U = K.E

¹/₂kx² = ¹/₂mv²

k = mv²/x²

where;

m is mass of the humanv is the speed of the cannonx is the extension of the springk is the spring constant

Substitute the given parameters and solve for the spring constant.

k = (100x 4²) / (2²)

k = 400 N/m

Thus, a spring constant of  400 N/m is need to maintain the law of conservation of energy, from elastic potential energy of the spring to kinetic energy of the human,

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A stone dropped from a cliff hits the ground 3.00 s later. Find (a) the speed with which the stone hits the ground, and (b) the distance it fell.

Answers

(a) The speed as the stone hits the ground is 29.4 m/s (b) The distance at which the stone fell is 44.1 m.

What is speed?

Speed can be defined as the ratio of distance to time.

(a) To calculate the speed at which the stone hit the ground, we use the formula below.

Formula:

v = u+gt............ Equation 1

Where:

v = Final speed of the stoneu = Initial speed of the stone = 0 m/st = time = 3 secondsg = acceleration due to gravity = 9.8 m/s²

Substitute the values above into equation 1

v = 0+3×9.8v = 29.4 m/s

(b) To calculate the distance the stone fell, we use the formula below.

S = ut+gt²/2........... Equation 2

Where:

S = Distance

Solving for S by substituting into equation 2

S = (0×3)+(9.8×3²)/2S = 44.1 m

Hence, (a) The speed as the stone hits the ground is 29.4 m/s (b) The distance at which the stone fell is 44.1 m.

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A car travels straight down a highway with cruise control set to 100 km/h. how far does it travel during 14.2 minutes?

Answers

230km far does it travel during 14.2 minutes.

A car travels straight down a highway with cruise control set to = 100 km/h

how far does it travel during 14.2 minutes

so, now we use

Distance = velocity [tex]\times[/tex] time

1 min = 1/60 hour

14.2 min = 14.2 / 60 hour

= 0.23 hour

now,

Distance = 1000[tex]\times[/tex]0.23 km

= 230km

so.  230km  it travel in 14.2 minutes

Distance is the length of the path between two points. and it's standard unit is meter while displacement is shortest distance between final position and initial position and it also has meter as a standard unit.

written as m.

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A mechanic applies a force of 200n at the end of a snappnes of length 20cm. what is the moment applied to the nut?

Answers

The moment applied is 40 Nm.

We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as

τ = F x r

where τ is torque, F is perpendicular force and r is radius.

From the question above, the parameter given are

F = 200 N

r = 20 cm

Convert radius to meter

r = 20 cm

r = 20 x 10¯² m = 0.2 m

By substituting the parameters, we get

τ = F x r

τ = 200 x 0.2

τ = 40 Nm

Hence, the moment applied is 40 Nm

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A local fm radio station broadcasts at 104.3 mhz. what is the wavelength (in m)of the radio waves?

Answers

The wavelength of electromagnetic waves is 2.88 meters.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic waves in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

f = 104.3 MHz = 104.3 x 10⁶ Hz

By substituting the given parameter, we can calculate the frequency of radiowaves

c = λ . f

3 x 10⁸ = λ . 104.3 x 10⁶

λ = (3 x 10⁸) / (104.3 x 10⁶)

λ = 2.88 m

Hence, the wavelength of radiowaves is 2.88 meters.

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Which of the five zones shown on the map has the greatest amount of land area suitable for people to live?
I have to get it done right now... I'm not playing no games.. I need help with this ASAP

Answers

The zone in the map that has the greatest amount of land area suitable for people to live is zone B.

What is equator?

The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.

The countries that are located close to the equator include the following:

Ecuador, Colombia,

Brazil, Sao Tome & Principe,

Gabon, Republic of the Congo,

Democratic Republic of the Congo,

Uganda, Kenya, Somalia, Maldives,

Indonesia and Kiribati.

From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.

The temperature of these areas are close to moderate through out the year.

The zone B also contains land mass that is part of the largest continent which is Asia.

Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.

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The magnetic north pole is always:

moving
cold
hot

Answers

Answer:

moving

Explanation:

Magnetic north was drifting at a rate of up to about 9 miles (15 km) a year. Since the 1990s, however, the drift of Earth's magnetic north pole has turned into “more of a sprint,” scientists say. Its present speed is about 30 to nearly 40 miles a year (50-60 km a year) toward Siberia.

A cannonball is dropped off a 65 m high castle wall. how long will the cannonball be in the air before striking the ground?

Answers

The cannonball dropped of a 65 m high castle wall will be in the air a time of: 3.642 s

The free fall formula and the procedure we will use is:

t = √[ (2*h) / g]

Where:

t = time takenh = height traveledg = acceleration due to gravity

Information of the problem:

h = 65 mg = 9.8 m/s²t = ?

Applying the time formula we get:

t = √[ (2*h) / g]

t = √[ (2*65 m) / 9.8 m/s²]

t = √[ 130 m / 9.8 m/s²]

t = √[ 13.265 s²]

t = 3.642 s

What is free fall?

It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.

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The discharge of water through an open channel is10.0 m3/s. what is the discharge in liters/min, gal-lons/min?

Answers

By unit conversion, the flow rate is 600,000 liters/min or 158503.23 gallons/min.

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

Q = 10 m³/s

Convert to liters / min

Q = 10 m³/s

Q = 10 x1000 liters/(1/60 min)

Q = 600,000 liters/min

Convert to US gallons/min

Q = 600,000 liters/min

Q = 600,000 x 0.264 gallons/min

Q = 158503.23 gallons/min

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Find the mean velocity of helium atoms at room temperature (t~300k) and the de broglie wavelength

Answers

The mean velocity of helium atoms at room temperature (t~300k) and the de broglie wavelength is 1.3635 * 105 cm/s  and 0.73 Armstrong respectively

In 1923, Louis-de-Broglie presented the notion of De-Broglie waves, that were also later tested with and proven by Davisson and Germer in 1927. These waves describe the nature of the particle-related wave.

Another variation of the de Broglie wavelength formula exists for particles having mass, such as electrons, protons, and so on, but not for photons. At non-relativistic speeds, a particle's momentum is equal to its rest mass m multiplied by its velocity v.

The de Broglie wavelength is measured in meters. Because it is so little, it is measured in nanometres or Angstroms.

Uavg = √(3KT/M)

Uavg = √((3×1.38〖×10〗^(-23)×300K)/(4×1.67×〖10〗^(-27) ))

Uavg = 1.3635 * 105 cm/s

λ = h/ mv

λ = (6.67×〖10〗^(-34))/((4×1.67×〖10〗^(-27))×(1.3635×〖10〗^3))

= 0.7323 * 10-10 m

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For a parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?.

Answers

No. this is not true for a spherical capacitor.

A spherical capacitor can be thought of as what is shown in the attached figure.That phenomenon for the parallel plate capacitor occurs because of the sudden change in the electric field intensity. Between the plates, the electric field intensity is constant and uniform and that uniformity changes at the edges.Such a uniform field intensity is not found in a spherical capacitor.The field at a given distance from the sphere is a function of that distance so it changes from place to place.So the energy density is not uniform in a region between 2 spherical surfaces.Therefore, what is true for spherical capacitors is that the energy density is like that at the edges of a parallel plate capacitor.

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A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $70 a day plus $0.40 per mile to rent the same truck. Find thenumber of miles in a day at which the rental costs for Company A and Company B are the same. Solve for the unknown angle measures of the polygon.A pentagon has angle measures of 100, 103, 111 and 114. What must the fifth angle measure?The fifth angle measures solve 3/5w-1/5w+10=4 How do I get 7 and takeaway 8x7 + 4 What are some examples today of corporations and politics colliding? A line y=mx+b is translated using the vector . Write the equation of the translated line. What is the value of the y -intercept? The time needed to roast a chicken depends on its weight. Allow at least 20 min/lb for a chicken weighing as much as 6 lb . Allow at least 15 min/lb for a chicken weighing more than 6 lb .a. Write two inequalities to represent the time needed to roast a chicken. Who was the American composer who was known for Deep Listeningpractices and is quoted as saying the following?"We know more about hearing than listening."O John Philip SousaO Pauline OliverosO Hector BerliozO Aaron Copland In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a)Kthrough (c) below.Students Given Four QuartersStudents Given a $1 BillPurchased Gum3311Kept the Money1827a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.The probability is 0.589(Round to three decimal places as needed.)b. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 billThe probability is(Round to three decimal places as needed.)c. What do the preceding results suggest?OA A student given four quarters is more likely to have spent the money than a student given a $1 billOB. A student given a $1 bill is more likely to have spent the money than a student given four quarters.OC. A student was more likely to have spent the money than to have kept the moneyOD. A student was more likely to be given four quarters than a $1 bill Given the number n as input, print the first n odd numbers starting from 1. for example if the input is 4 the output will be: 1 3 5 7 Why is the village 'rara' a special place? in the figure below helppp After 2 minutes an ant traveled 120 meters and after 6 minutes the ant will have traveled 260 meters.Assuming a linear equation can be used to model the change in distance traveled over time between 2 and 6 minutes, let y be the distance traveled (in meters) after x minutes and complete this linear model in slope-intercept form:Question 2The significance of the slope in the context of this situation is:The ant travels 50 meters in 35 minutes.The ant travels at an average of 35 meters per minute.The ant travels at an average of 50 meters per minute.The ant travels at an average of 50 minutes per meter.The ant travels at an average of 35 minutes per meter.Question 3The distance that the ant will have traveled after 14 minutes isQuestion 4The number of minutes that will pass from the time the ant begins moving until it has traveled 610 meters is Complete each sentence by selecting the correct answer from the drop-down menu.Before reading multiple texts, it is important toDoing this will help youAs a result, it will be easier to Which is an equivalent expression for (3^2 5^4)^3? 3^2 5^12 3^5 5^7 3^6 5^12 15^18 Given a focal length of a mirror and an object distance, you determine that s' < 0. from this you can conclude that:_________ Determine the whole number of standard deviations from the mean that include alldata values.The mean price of the nonfiction books on a best-sellers list is $25.07; the standarddeviation is $2.62.$26.95, $22.95, $24.00, $24.95, $29.95, $19.95, $24.95, $24.00, $27.95, $25.00 Which statements describe the trade agreement between the US, Mexico, and Canada? Choose three correct answers. Read and analyze the letter of Amber below. Type your thoughts and respond to given situation based on the ethical principles and ethical standards of a household worker.Dear friend,Mr. Andersen, pays me SR30 an hour to mow his lawn. It usually takes me two hours, but last week, I got it done 30 minutes faster. He already paid me in advance. Is it ethical for me to keep the money?From,Amber ( -5+1 ) + ( 6-11 ) + ( -3 - 17 )