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Given the following triangle, find the angle A using the appropriate sine or cosine 5.3 7 A=? law: 8.2 Given the following triangle, find the length of side x using the appropriate sine X 101° 38° o

A ball is thrown straight up with a speed of 60 m/s; therefore the speed of the ball after 5 seconds is 10 m/s.


When a ball is thrown straight up, its initial speed is positive (in the upward direction). As it goes up, it slows down due to the gravitational pull of the Earth. At the highest point, the speed becomes zero, and then the ball starts falling back down. The speed of the ball is equal in magnitude to its initial speed when it reaches the same height on its way down.
Using the equation of motion for constant acceleration, we can calculate the speed of the ball after 5 seconds:
v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken.
Plugging in the values, we get:
v = 60 - 9.8 x 5
v = 10 m/s

Therefore, after 5 seconds, the speed of the ball is 10 m/s, which is in the downward direction.

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Prism index of refraction is 2.40 if it is deflected by 22.6degrees by a 30-60-90 prism.

Refraction of light is perhaps of the most ordinarily noticed peculiarity, however different waves like sound waves and water waves additionally experience refraction. Refraction makes it feasible for us to have optical instruments, for example, amplifying glasses, focal points and crystals. It is likewise a result of the refraction of light that we can shine light on our retina..

Applying Snell's law at the point of refraction we get

μ₁sinθ₁ = μ₂sinθ₂

where μ₁ is refractive index of the prism,

μ₂ is the refractive index of the air,

sinθ₁ is the angle made by light with prism

and sinθ₂ is the angle made by light beam with air medium.

Now,we know that μ₂=1,θ₁ =22.6°,θ₂=90° - 22.6°=67.4°,μ₁=?

On putting we,get

=>μ₁ ˣ sin(22.6°)= 1 ˣsin(67.4°)

=>μ₁=sin(67.4°)/ sin(22.6°)

=>μ₁=0.923/0.384

=>μ₁=2.403

Hence, prism index of refraction is 2.403.

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Given data:

* The initial velocity of the train is 30 m/s.

* The time taken by the train is 44 s.

* The final velocity of the train is zero.

Solution:

(a). By the kinematics equation,

The acceleration of the train in terms of the change in velocity is,

where v is the final velocity, u is the initial velocity, and t is the time taken by the train to stop,

Substituting the known values,

Here, the negative sign indicates the decrease in the velocity with time,

Thus, the accerlation of the train is -0.682 meter per second squared.

(b). By the kinematics equation, the distance tarveled by the train is,

where S is the distance traveled by the train,

Substituting the known values,

Thus, the stopping distance is 661.76 m.

C hopes this helps

A soccer ball sits on the playing field

If a composite object is electrically neutral, that means it has an equal number of positive and negative charges.

Electricity is a form of energy that results from the movement of charged particles, such as electrons. It is the flow of electric charge through materials that conduct electricity, such as metals. Electricity has several key properties, including voltage, which is a measure of the energy per unit charge, and current, which is the flow of charge through a material. Electricity can be generated through a variety of methods, including chemical reactions, thermal processes, and electromagnetic induction. It is used to power a wide range of devices and systems, from light bulbs and computers to power plants and electric vehicles. Electricity has revolutionized the world, making it possible to transmit energy over long distances, power machines, and communicate instantly with people anywhere on the planet.

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Stars like the Sun primarily transport newly formed elements into the interstellar medium through a process called stellar winds and, in more massive stars, through supernova explosions.

Stars are known to  undergo nuclear fusion in their cores, where they convert lighter elements into heavier ones. This fusion process releases energy and creates new elements, such as helium, carbon, oxygen, and so on. Over millions or billions of years, these newly formed elements accumulate in the stellar interiors.

In the case of stars like the Sun, which are of moderate mass, they eventually enter the later stages of their lives known as the red giant phase.

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Answer:

100 is the frequency of wave

Explanation:

The earth quakes are produced due to the sudden movements of tectonic plates in the earth's crust. The earthquake is one of the major natural disasters.

An earthquake is defined as the shaking of the surface of the earth because of the sudden release of energy in the earth's crust. The waves created during the earthquake are called seismic waves.

The Qinghai earthquake was one of the severe earthquake which occurred on April 14, 2010 in the isolated southern Yushu Tibetan area in  Qinghai province, which is in china on the northeastern portion of the plateau of Tibet.

Many peoples were killed and damaged many belongings also.

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The answer is 8 V.

Since the resistors are in series, the current passing through all of them is the same. Let's call this current "I".

Using Ohm's Law, we can find the voltage drop across each resistor:

V1 = IR1 = I(2.0 Ω) = 2I

V2 = IR2 = I(4.0 Ω) = 4I

V3 = IR3 = I(6.0 Ω) = 6I

The sum of the voltage drops across each resistor should equal the voltage provided by the emf device, which is 24 V.

V1 + V2 + V3 = 2I + 4I + 6I = 12I = 24 V

Solving for I, we get:

I = 24 V / 12 Ω = 2 A

Now we can find the voltage drop across the 4.0-Ω resistor:

V2 = IR2 = (2 A)(4.0 Ω) = 8 V

Therefore, the potential difference across the 4.0-Ω resistor is 8 V.

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Answer: The Coriolis effect results in bending the direction of surface currents to the right in the Northern Hemisphere and left in the Southern Hemisphere. The Coriolis effect causes winds and currents to form the circular patterns. The direction in which they spin depends upon the hemisphere in which they are present.Coriolis Effect is named after the French mathematician and physicist Gaspard-Gustave de Coriolis. It affects the weather patterns of an area, it affects the ocean currents, and it also affects air quality.

Answer:

472.36 N

Explanation:

The total mass with the tire and child would be 45 kg + 3.2 kg = 48.2 kg

Ft = force tension

Fg = force of gravity

Fnet=0 (because child is motionless and not accelerating)

0 = Ft - Fg

Ft = Fg

Ft = m*g

Ft = 48.2 kg * 9.8 m/s^2

Ft = 472.36 N

Hope this helps!!

A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

The parameters given in the question is

Mass of the child= 45 kg

Mass of the tire swing attached to the tree= 3.2 kg

The first step is to calculate the total mass. The total mass can be calculated as follows;

= Mass of the child + mass of the tire swing

= 45 + 3.2

= 48.2 kg

The tension can be calculated as follows,

= mass × acceleration

= 48.2 × 9.8

= 472.36

Hence, A 45-kg child sits on a 3.2-kg tire swing. The tension of the rope is 472.36 N.

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Answer:

Answer is

\(4g \: m {s}^{ - 1} \)

Explanation:

We have to find the initial velocity, u.

Final velocity is v = 0. And acceleration is due to gravity.

Now,

\(v = u + at\)

\(0 = u + ( - g)m {s}^{ - 2} \times 4s\)

\(u = 4g \: m {s}^{ - 1} \)

Therefore, the final answer depends on the value of g.

About 4.5 mol of water will be created when the platinum-based engine is run continuously at 300 K for an hour with 0.5 atm of H2 and 0.5 atm of O2 injected for each reaction.

For fuel cell engines' electrodes, platinum is a requirement. It acts as an electrocatalyst to speed up the electrochemical reactions needed to induce H2 to release electrons and form H2 ions when it is placed on porous electrodes.

Platinum is particularly well suited as a fuel cell catalyst because it makes it possible for the hydrogen and oxygen reactions to occur at an ideal rate and because it is stable enough to withstand both the intense electrical current density and the complex chemical environment found inside a fuel cell. This allows platinum to function effectively over an extended period of time.

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Answer:

75 J

Explanation:

After collapsing from the shelf. The ball falls one fourth of the distance down. If we calculate 100 - 1/4 ×100= 75 J.

The period of the simple pendulum on the surface of Mars is 2.57 seconds.

A simple pendulum has a period of 1.72 seconds on earth. We are required to find its period on the surface of Mars where the acceleration due to gravity is 3.71. We can solve this problem by using the formula for the period of a simple pendulum.

The formula for the period of a simple pendulum is given as:

T = 2π (l/g)1/2

Where,

T = period of the pendulum

l = length of the pendulum

g = acceleration due to gravity on the planet

The value of the acceleration due to gravity on Mars is 3.71 m/s2.

The length of the pendulum is not given, but since we are only interested in finding the ratio of the period on earth to the period on Mars, the length of the pendulum is irrelevant. We can therefore ignore the length of the pendulum.

Substituting the values in the formula, we get:

T on Mars = 2π (l/g on Mars)1/2 = 2π (1/3.71)1/2 = 2.57 seconds

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Answer:

5 KG of ice would have the lowest thermal energy

Answer:

its A; 5 kg of ice

Explanation:

yurrrr

Answer: 0.064 m/s²

Explanation:

Initial velocity = 22m/s

Final velocity = 44m/s

Time taken = 345 seconds

Acceleration = (Final velocity - Initial velocity) / Time taken

= (44 - 22) / 345

= 22/345

= 0.0637681

= 0.064 m/s²

Therefore, the acceleration is 0.064 m/s².

Wave a carries more energy than wave b. Wave b has a smaller amplitude than wave a.

Those waves carry an amount of energy that can be measured. The energy in a wave is determined by two variables. One is amplitude, which is the distance from the rest position of a wave to the top or bottom. Large amplitude waves contain more energy. Wave A has greater intensity and transfers more energy. Wave B has greater intensity and transfers more energy. Waves that require matter to transfer energy are mechanical waves. The matter through which a mechanical wave travels is called a medium. A mechanical wave travels as energy is transferred from particle to particle in the medium. There are two kinds of mechanical waves. The greater the amplitude of the wave the greater the wave's energy. ... A wavelength will travel only as long as it has the energy to carry. Gamma rays

Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation. Electromagnetic waves cause oscillations in electrical and magnetic fields. It is important to remember that all waves transfer energy but they do not transfer matter. For example, if a ball is placed on the surface of a pond when ripples move across it, the ball will move up and down but not outwards with the wave.

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A foodservice operation typically has 48 hours to correct a violation of a priority item.

Foodservice operations are subject to regular inspections by health departments to ensure that they comply with food safety regulations. Priority items refer to violations that are most likely to contribute to foodborne illness or injury if not addressed immediately.

Priority items include, but are not limited to, issues related to food temperature control, inadequate cooking, poor hygiene practices, and contaminated food contact surfaces. When a priority item violation is identified during an inspection, the foodservice operation is typically given 48 hours to correct the issue.

The exact timeline for correction may vary depending on the severity of the violation and the specific requirements of the local health department. Failure to correct priority item violations within the specified timeframe can result in fines, closure of the foodservice operation, or legal action.

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Answer:

D

Explanation:

because civis is the rights and obligations of citizens in society and all A,B,C have a right to a citizen.

To increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value

The efficiency of a Carnot engine is given by:

Efficiency = 1 - (Tc/Th)

Where

In this case, the efficiency of the engine is 40%, which can be expressed as 0.4 in decimal form. Therefore:

0.4 = 1 - (Tc/Th)

Rearranging this equation, we get:

Tc/Th = 0.6

We want to increase the efficiency by 10% of the original efficiency. This means that the new efficiency will be :

0.4 + 0.1(0.4) = 0.44

We can use this new efficiency to find the new ratio of Tc/Th:

0.44 = 1 - (Tc_new/Th_new)

Tc_new/Th_new = 0.56

Now we need to find by how many degrees the temperature of the heat source should change to achieve this new ratio of temperatures. We can set up an equation using the two ratios of temperatures:

(Tc/Th) / (Tc_new/Th_new) = 0.6 / 0.56

Substituting the first ratio we found earlier and simplifying, we get:

0.6 / (Th_new/Th) = 0.6 / 0.56

Th_new/Th = 0.56/0.6

Th_new/Th = 0.933

Multiplying both sides by Th, we get:

Th_new = 0.933 Th

So the temperature of the heat source should be increased by:

ΔT = Th_new - Th = 0.933 Th - Th = 0.067 Th

Where ΔT is the change in temperature and Th is the original temperature of the heat source.

Therefore, to increase the efficiency of the Carnot engine by 10% of the original efficiency, the temperature of the heat source should be increased by 0.067 times its original value.

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\(\\ \sf\longmapsto k=-\dfrac{F}{x}\)

\(\\ \sf\longmapsto k=-\dfrac{3.12}{0.12}\)

\(\\ \sf\longmapsto k=-26N/m\)

The speed of light in a medium, such as plastic, is given by the equation v = c/n, where v is the speed of light in the medium, c is the speed of light in vacuum (approximately 3 x 10^8 m/s), and n is the refractive index of the medium. To determine the speed of red light in plastic, the refractive index of the specific plastic material must be known.

The wavelength of light in a medium can be determined using the equation λ = λ0/n, where λ is the wavelength of light in the medium, λ0 is the wavelength of light in vacuum, and n is the refractive index of the medium. Given that the red laser has a wavelength of 633 nm (633 x 10^-9 m) in vacuum, the wavelength of red light in plastic can be calculated using the refractive index of the plastic material.

In conclusion, to determine the speed and wavelength of red light in plastic, the specific refractive index of the plastic material needs to be known.

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The total amount of revenue collected from $1 per unit tariff on this product will be $7.

What is revenue from tariffs?

A tax rate known as a revenue tariff is one that is used to obtain direct income from company revenues. The level of prices is significantly impacted by a revenue tariff.

How do tariffs bring in money?

As imports reach the domestic market, the government will earn more money because a tariff is a tax. Since import prices are artificially inflated, domestic sectors also profit from less competition.

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I understand that the question you are looking for is "The total amount of revenue collected from a $1-per-unit tariff on this product will be: $22. $14. $8. $7".

Answer:

1 au is 1.496e+8 kilometres

Explanation:

Easy AU to km conversion. A kilometer, or kilometre, is a unit of length equal to 1,000 meters, or about 0.621 miles.

Hope this helps    :)

(a) The budget constraint can be written as: C = wL + V, where C is consumption, w is the real wage, L is leisure, and V is non-labor market income.

(b) With ẞ = 1/2, V = 100, and w = 200, John's optimal supply of labor cannot be determined without information about his preferences for leisure and consumption. The utility function only represents his preferences, but we need additional information to determine the specific amount of labor he would choose to supply.

(c) John's total income is the sum of his labor income and non-labor market income: Total income = Labor income + Non-labor income = wL + V. Without knowing the specific value of L, we cannot calculate the total income.

(d) Similarly, without knowing John's preferences for leisure and consumption, we cannot determine the specific level of consumption he would choose.

(e) In the case where John is subject to a 10% income tax on labor income only, his new optimal supply of labor would depend on the tax rate's impact on his preferences and the trade-off between leisure and consumption. Without further information on his preferences and the specific tax structure, we cannot determine the new optimal supply of labor.

Additional information about John's preferences for leisure and consumption, as well as the specific tax structure, is necessary to calculate his optimal labor supply, total income, consumption, and the impact of the income tax on his labor supply.

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Answer:

V=IR

12 = 3 ×RESISTANCE

RESISTANCE=12/3

=4 Ohms

answer is the third option

From the information the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\)

To calculate the saturation mixing ratio (ws), we need to use the given information of specific humidity (w) and relative humidity (RH). The saturation mixing ratio represents the maximum amount of water vapor the air can hold at a given temperature.

The formula to calculate ws from w and RH is as follows:

ws = w ÷ (1 - w) × RH ÷ 100

Given:

w = 8 g \(kg^-1\)

RH = 20%

First, we need to convert w from grams per kilogram to a decimal fraction:

w = 8 ÷ 1000 = 0.008

Now we can substitute the values into the formula:

ws = 0.008 ÷ (1 - 0.008) × 20 ÷ 100

Calculating this expression:

ws = 0.008 ÷ 0.992 × 0.20

ws ≈ 0.000161 g \(kg^-1\)

Therefore, the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\).

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