30 points & not that hard

The town of Fairfield, Connecticut is located on the east coast of the United States and is proposing clean energy projects such as solar panel farms to help reduce
carbon dioxide emissions and reduce electrical power costs to the town. The town has created a Clean Energy Task Force to lead these projects. You are going to attend a town meeting to ask questions about their proposals to install solar farms in various locations such as the parking lots of local high schools and over a
former landfill.

List at least 5 questions you should ask the Clean Energy Task Force before you make a decision.

(Please write a minimum of three sentences)

Loudness increases by 10 dB for every dB increase in sound intensity. A 40-decibel light rainstorm is 100 times louder than a whisper, whereas a 30-decibel "silent" room is 10 times louder than a 20-decibel whisper. Loud noises can be harmful.

A 10 dB rise results in a two-fold increase in volume. The loudness will therefore rise by nearly 8 times with a 30 dB increase (from 20 dB to 50 dB).

Decibels are measured on a logarithmic scale using a power of ten, which might be perplexing. For those of you without advanced math degrees, this simply implies that the sound intensity doubles for every 10 decibel rise.

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The mechanical energy of the oscillator is lost in each cycle is 7.44%.

Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the  renewable energy relying on Mechanical energy to be the  adequately produced power or converted energy.

Since the energy is proportional to the amplitudes squared,then  we found the fractional changes (assumed small) is,

EE ,−E≈ E

dE=xm2dx

m2=xm2

2xmdxm=2x

mdx.m

Thus, if we approximately the fractional changes in  x

m​as x mdx m

then the above-mentioned calculations of shows that multiplying by  this by  2  should be give them fractional energy- change. Therefore, if  x

m decreases by  3.72%, then  E  must decreased by  7.44%.

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The focal length of the mirror is 50cm.

This refers to the distance from the lens or mirror to the focal point(F). It is measured in centimeters, cm or meters,m.

Formula for calculating the focal length of the mirror:

f = R * 2

Where,

f = focal length

R = the radius of curvature

What is a focal point (F)?

This refers to the point where by rays or waves meet after reflection or refraction, or the point from which diverging rays or waves appear to proceed.

In the question:

R = 25cm

f = R * 2

Substituting the values we have:

f = 25cm* 2

f = 50cm

Hence, the focal length of the mirror is 50cm.

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The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.

Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.

How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.

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Newton's third law states that any action will have a(n) equal and opposite reaction.

An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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The car’s average acceleration is 6 meter/second^2.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given that: the car can accelerate from rest to 30 m/s in 5 seconds.

Hence, average acceleration of the car = change in speed/time interval

= ( final speed - initial speed)/time interval

= ( 30 m/s - 0 m/s) / 5 second

= (30/5) meter/second^2

= 6 meter/second^2.

Hence, the  average acceleration of the car  is  6 meter/second^2.

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The velocity of vehicles after the collision is 15.82m/sec if car mass is 1.4 × 10³kg and truck mass is 2×10³kg

We know that we need to conserve the momentum of watermelon in a certain direction. Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.

We know that momentum =mass × velocity

So,initial momentum of car is =1.4 × 10³kg × 37km/hr

Similarly,,initial momentum of truck=2×10³kg × 35km/hr

Now,it is given that both vehicles lock together,so total mass of both vehicles is =1.4 × 10³kg +  2×10³kg=3.4 ×10³kg

Assume final velocity of both vehicle is v

So,following the law of conservation,we get

=>1.4 × 10³kg × 37 + 2×10³kg × 35 = 3.4 ×10³ ×v

=>51.8 ×10³ + 2×10³=3.4×10³ ×v

=>53.8 ×10³ kg-m/sec = 3.4×10³ ×v

=>v = 53.8/3.4

=>v=15.82m/sec

Hence,final velocity of both vehicle after collision is 15.82m/sec.

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The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m

To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:

s = ut

20 = 5 × t

Divide both sides by 5

t = 20 / 5

t = 4 s

Finally, we shall determine the height of the cliff. Details below:

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the height of the cliff is 78.4 m

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The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is  147.2 N .

The Pascal's Law states that the relation between the pressure , force and area is given as :

Pressure = Force/Area ;

given that the diameter of the master cylinder is = 1.93 cm ;

so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;

the diameter of slave cylinder is = 24.9 cm ;

the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;

Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²

Area of the master cylinder (A₂) =  π(0.00965)² = 0.000292 m² ;

given mass of the car = 2500 Kg ,

the force exerted will be : F = m*a

F₁ = 2500*9.8 = 24500 N ;

F₁/A₁ = F₂/A₂

So , 24500/0.0486 = F₂/0.000292

F₂ = (24500/0.0486)×0.000292

F₂ = 147.2 N

Therefore , the force exerted on the master cylinder is 147.2 N  .

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When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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0.32 m/s²  the acceleration of a 250000 kg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn.

Acceleration the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed remains constant, motion on a circle accelerates because the directions is always shifting. Due to the fact that it includes both magnitude and direction, velocity is a quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

The formula may be used to determine an object's acceleration given its mass and the force acting on it.

a= f/m

f is the force

m is the mass

a = 80000 / 250000

a = 0.32 m/s²

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Answer:

C.) The United States would become less dependent on energies that emit greenhouse gases.

Explanation:

If nuclear energy increased, it would occupy a larger piece of the pie chart.  The prompt states that the usage of non-fossil fuel-based forms of energy would remain constant.  This condition means that nuclear energy would decrease the percentage of fossil fuel-based energy used.  Energy production through the use of fossil fuels necessarily produces greenhouse gases such as CO2.  An increase in nuclear energy would mean a corresponding decrease in dependence on greenhouse gas-producing fossil fuels.

Answer:

Below

Explanation:

ESE = 1/2 k d^2

        = 1/2 *  10 N/m * .1 m = .5 J

True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.

One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.

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We can determine if a star is moving toward or away from earth by measuring its brightness.

The correct answer would be:

[tex]\fbox{False}[/tex]

The speed of the wave is determined as 18 m/s.

option D is the correct answer.

The speed of the wave is the rate of change of wave's displacement with time.

The speed of the wave is calculated by applying the formula relating speed, wavelength and frequency of the wave as shown below.

v = fλ

where;

The frequency of the wave is calculated as follows;

f = 1 / T

where;

The period of a wave is the time taken for the wave to complete one cycle.

In the picture given, 3 cycles of the wave = 0.5 s

1 cycle of the wave = ?

= 0.5 s / 3

= 0.16667 s

f = 1 / T

f = 1 / 0.16667

f = 6 Hz

The speed of the wave is calculated as follows;

v = fλ

v = 6 Hz  x  3 m

v = 18 m/s

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Answer:

a=25/24 m/s^2

Explanation:

I’m going to assume you mean the final velocity is 25m/s.

v^2=u^2+2as

625=0+2a300

a=25/24 m/s^2 or 1.0416^_ (period 1) ^m

The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

We'll begin by obtaining the acceleration of the box. Details below:

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)

We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.

if r is a deuteron's radius, then by the law of conservation of energy, we get,

2K=1/4πϵo. e²/2r

putting values, we get

K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.

J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,

5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).

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According to the given statement 11303.5 kg  is the weight of the truck.

The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.

The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.

B = ρ g V

It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.

          Σ F = 0

          B-W = 0

          B = W

body weight

          W = M g

the volume is

          V = l to h

          (l to h) = M g

          M = l a h

we calculate

          M = F = 1000 . 10. (4.70 x 6.50 x 0.037)  = 11303.5 N

          M = 11303.5 kg

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Answer:

While on the earth, any object with a mass of 0.77 kg weighs 7.546 newtons (1.698 pounds).

On the moon, the same 0.77-kg object would weigh 1.232 newtons (0.277 pound)

Explanation:

All the tools of communication such as the drum, telegraph et cetra were used for emergency communication.

We know that communication has to do with the art of sending and receiving information between two people who may or may not be at the same place. We know that the dissemination of information is a very important aspect of life and we have always tried to invent means of communication especially at times when we have an emergency situation that needs a kind of an immediate remedy.

We can see that all the kinds of communication gadgets that have been show here are all from a period that is far behind the kind of civilization that we have to day and the kind of thge communication gadgets that are quite available to the people that are around today.

However, all the tools shown could be used to send information in times of emergency.

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The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.

The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.

d

sin

θ

=

n

λ

2

(

sin

θ

)

=

(

1

)

(

410

×

10

−

9

)

sin

θ

=

410

×

10

−

9

2

=

2.05

×

10

−

7

θ

=

sin

−

1

(

2.05

×

10

−

7

)

=

1.17

×

10

−

5

Thus the angle is

1.17

×

10

−

5

.

(b.)

Given data

The width of slit is

d

=

2.00

m

.

The number of minimum is

n

=

1.

The wavelength is, \lambda =700 nm

The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.

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The larger objects are rounded essentially comes down to gravity. The gravitational pull of an object will always be directed toward its mass centre. The more massive and gravitational attraction something has, the bigger it is.

The strength of the object itself opposes such force for solid objects. For instance, you are not drawn into the centre of the Earth by the downward force of gravity. The reason for this is that the ground is pushing back up at you; it is too strong to allow you to sink through it. The power of Earth has its limits, though. Imagine a massive mountain, like Mount Everest, becoming bigger and bigger as the planet's plates collide. Everest starts to sink as it gets taller due to its weight increasing. The mountain's height will be constrained as a result of the additional weight forcing it deeper into the Earth's mantle.

Hence, planets moves in fixed orbits.

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Two planets are identical, except planet x has an atmosphere of mostly nitrogen and planet y has an atmosphere of mostly carbon dioxide therefore what we can determine about the planets is that x is Earth while y is Venus.

This is referred to as the envelope of gases surrounding the earth or another planet and it makes life possible by providing different organisms with air to breathe

In the atmosphere of the planet Venus there is a high concentration of carbon dioxide as it is made up of  it is made of 96.5% of CO₂ and a 3% of nitrogen.

On the other hand in the atmosphere of the planet Earth, there is a high concentration of nitrogen which is about 78% and is therefore the reason why they were chosen as the correct choices.

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Frequency is inversely proportional to the time period. That is, f = 1/T.

This refers to the number of waves that passes a fixed place in a given amount of time.  Frequency is measured in hertz, this is equal to one event per second.

What is period, T ?

This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.

Note:  AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.

Mathematically :

f = 1/T

T =Total time,Period

f =  Frequency

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The object takes to move is 0.409s.

Calculaiton:

time period T = 4 s

Angular speed ω = 2π/T= 1.57 rad/s

SHM equation

x = A sin ωt

6 = 10 sin(1.57t)

sin(1.57t) = 0.6

1.57 t = 0.6435

t= 0.409s.

The amplitude of a periodic variable is a measure of its change over one period. The amplitude of an aperiodic signal is its magnitude relative to a reference value. Amplitude has various definitions, all of which are functions of the magnitude of the difference between extreme values ​​of a variable. It refers to the maximum displacement from equilibrium exhibited by a body in periodic motion.

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Answer: 1.57

Explanation:

absolute refractive index = [tex]\frac{speed of light in air}{speed of light in a medium}[/tex]

[tex]= > \frac{3 * 10^{8} }{1.91* 10^{8} } \\= > 1.57[/tex]

Answer:

The answer seems to be,

A) The ball is accelerated while it is pushed by the student's hand due to an

A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.

(The answer might be wrong. )