The wavelengths of AM radio signals span from 545.45 meters to 187.5 meters.
The wavelength of a radio wave is given by the formula:
wavelength = speed of light / frequency
where the speed of light is approximately 300,000,000 meters per second.
For AM radio stations, the frequency range is between 550 and 1600 kilohertz (kHz), or 550,000 and 1,600,000 hertz (Hz), respectively.
So, to find the wavelength of these radio signals, we can use the above formula for the minimum and maximum frequencies:
Minimum wavelength = speed of light / minimum frequency
= 300,000,000 / 550,000
= 545.45 meters
Maximum wavelength = speed of light / maximum frequency
= 300,000,000 / 1,600,000
= 187.5 meters
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after 20 rounds of amplification how many copies of the amplified region should you have theoretically? answer to 3sf
After 20 rounds of amplification through the polymerase chain reaction (PCR), the number of copies of the amplified region should theoretically be \(2^{20\), which is 1,048,576.
This is because PCR is an exponential process where each round of amplification doubles the number of copies of the target DNA region. Therefore, the number of copies after 1 round of amplification is 2, after 2 rounds it is 4, after 3 rounds it is 8, and so on.
To calculate the number of copies after 20 rounds of amplification, we use the formula 2^n, where n is the number of amplification cycles. In this case, n = 20, so \(2^{20\) = 1,048,576 copies.
It is important to note that this is a theoretical maximum and assumes 100% efficiency in each round of amplification. In reality, there may be some loss of DNA during the PCR process, and other factors such as contamination or suboptimal reaction conditions can also affect the final yield. Therefore, the actual number of copies obtained may be slightly lower than the theoretical maximum.
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Which statements describe how a machine can help make work easier? Select two options.
It can put out more force than the input force by decreasing the distance through which force is applied.
It can increase the amount of work performed if the output force is in the same direction as the input force.
It can apply a force to an object in a different direction than the force applied to the machine.
It can increase the distance through which a force acts by exerting less force than was used on it.
It can exert a greater force through a greater distance than the force used on the machine.
Answer:
It can put out more force than the input force by decreasing the distance through which force is applied.It can apply a force to an object in a different direction than the force applied to the machine.Explanation:
Assuming the machine is a simple machine, such as a lever or pulley, the machine will not do any more work than is put into it. However, it can change the magnitude or direction (or both) of the input force required to achieve a particular output force.
Because the machine does not increase the work done, if the output force is greater, the output distance must be less.
The applicable observations are ...
It can put out more force than the input force by decreasing the distance through which force is applied.It can apply a force to an object in a different direction than the force applied to the machine.
An arrow is shot horizontally from a height of 4.9 m above the ground. The initial speed of the arrow is 45 m/s. Neglecting friction, how far away from the archer will the arrow to hit the ground?
Answer:
90m
Explanation:
Given that an arrow is shot horizontally from a height of 4.9 m above the ground. The initial speed of the arrow is 45 m/s.
Since the arrow is shot horizontally, the initial vertical velocity will be equal to zero.
Using the second equation of motion,
h = Ut + 1/2gt^2
substitute h = 4.9m and g into the formula
4.9 = 1/2 × 9.8 × t^2
4.9 = 4.9t^2
t^2 = 4.9/ 4.9
t = 1
For horizontal motion g = 0 and the total time T = 2t
T = 2 × 1
T = 2
Substitute T and U into the equation
R = UT
R = 45 × 2
R = 90m
Therefore, the arrow will hit the ground 90m away from the archer.
Answer: 45 meters.
Explanation:
First, let's calculate the time that the arrow needs to hit the ground.
Let's analyze the vertical axis.
The only force acting on the arrow is the gravitational force, then the only acceleration will be the gravitational acceleration.
We can write this as:
a(t) = -g
where = 9.8m/s^2
For the vertical velocity, we can integrate the above equation over the time:
v(t) = -g*t + v0
where t is our variable, the time in seconds, and v0 is the initial vertical velocity.
But we know that the arrow is shot horizontally, then we don't have initial vertical velocity: v0 = 0m/s.
v(t) = -g*t
and the vertical position can be obtained integrating again.
p(t) = -0.5*g*t^2 + p0
Where p0 is the initial position, we know that this is 4.9 meters, then the position equation is:
p(t) = -0.5*9.8m/s^2*t^2 + 4.9m
Now we want to find the value of t where the position is equal to zero, this will be the time that the arrow needs to hit the ground.
0 = -0.5*9.8m/s^2*t^2 + 4.9m
t^2 = 4.9/(0.5*9.8) s^2
t = √( 4.9/(0.5*9.8) s^2 ) = 1s
Now let's analyze the horizontal case.
As we can neglect the air resistance, the horizontal velocity is constant:
v(t) = 45m/s
And the position will be:
V(t) = 45m/s*t + p0
Where in this case p0 is the position of the archer, that we can define as our zero in this axis, then p0 = 0m
Now we know that the vertical displacement of the arrow when it hits the ground will be:
p(1s) = 45m/s*1s = 45m
What is an inclined plane that is wrapped in spiral
Answer:
A screw
Explanation:
The threads of a screw act like an inclined plane to increase the distance over which you exert the input force.
What is the type of radioactive decay represented by the equation above? A. Gamma B. Fusion C. Alpha D. Fission 40. Alberta uses clean coal technology. This means that the coal has a lower i content than coal in other parts of Canada, which results in reduced ii The statement above is completed correctly by the information in row olla sdf to ridW Row i A. sulfur greenhouse gas emissions acid deposition sulfur carbon greenhouse gas emissions acid deposition carbon B. C. D. 29. Which of the following graphs depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth? A. Field Strength (N/kg) C. Field Strength (N/kg) Mass (kg) Mass (kg) B. Field Strength (N/kg) D. Field Strength (N/kg) Mass (kg) CADLC 30. Which of the following sequences of colours represents the changing temperatu from the surface to the atmosphere of the sun? a A. Red, orange, yellow, blue B. Yellow, red, orange, blue C. Orange, yellow, blue, red D. Blue, yellow, orange, red 1. When a star undergoes a blue shift, the star is A. moving away from an observer B. moving towards an observer C. moving parallel to an observer D. stationary Mass (kg)
The sun is Yellow, red, orange, and blue. Therefore option B is correct.
The star is moving toward an observer. Therefore option B is correct.
39. The type of radioactive decay represented by the equation provided Gamma. Therefore option A is correct.
40. The statement is completed correctly by the information which states that the coal in Alberta has a lower carbon content than coal in other parts of Canada, resulting in reduced greenhouse gas emissions.
29. graph B depicts the relationship between gravitational field strength and the mass of the International Space Station orbiting Earth.
30. The correct sequence of colors representing the changing temperature from the surface to the atmosphere of the sun is Yellow, red, orange, and blue. Therefore option B is correct.
1. When a star undergoes a blue shift, it indicates that the star is moving toward an observer. Therefore option B is correct.
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how does the long lifespan of cfc molecules affect the rate of repair of the ozone layer?
The long lifespan of CFC (chlorofluorocarbon) molecules significantly affects the rate of repair of the ozone layer.
CFCs contain chlorine and fluorine atoms that react with ozone molecules in the Earth's atmosphere, leading to the depletion of the ozone layer.CFCs are extremely stable and have a long lifespan, which means that they can remain in the atmosphere for decades or even centuries. When CFCs are released into the atmosphere, they are transported by winds and eventually reach the stratosphere, where they break down due to the action of ultraviolet radiation.The breakdown products of CFCs, including chlorine and bromine atoms, can then react with ozone molecules, leading to their depletion. Since CFCs have a long lifespan, their impact on the ozone layer is long-lasting and can persist for several decades.To know more about space visit:
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A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.
Answer: 8.1m/s^2
Explanation:
For this question, in order to solve it, we have to use the second equation of motion which will be:
s = ut + 1/2at^2
where,
u = initial velocity
v = final velocity
t = time
a = acceleration
Since u = 0, then
a = 2s/t^2
a = 2 × 110/5.21^2
a = 220/27.1441
a = 8.1m/s^2
a cluster of galaxies is observed to have a recessional velocity of 60,000 km/s. find the distance to the cluster, assuming a hubble constant of 72 km/s per mpc (1 mpc
On the basis of a hubble constant approximately 72 km/s per mpc, D is equal to 833.33 to the cluster.
The Hubble constant is what?In cosmology, the Hubble characteristic is a constant of proportionality that describes the relationship between it velocities of far-off objects and their lengths. It conveys the rate of the universe's expansion. most latest accurate measurements of distant objects' motions and distances.
Does Hubble's Constant exceed the speed of light?The region whereby the galaxies are moving away from each other faster than the speed of light is known as the Hubble sphere, after Edwin Hubble who found the universe was expanding back in the 1920s. Because they light is more red than it should be, they are almost all moving away from us, which is how we know.
Hubble constant = Mpc
= 60,000 / 72
D = 833.33
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Lake point tower in chicago is the tallest apartment building in the united states. suppose you take the elevator from street level to the roof of the building. the elevator moves almost the entire distance at constant speed, so that it does 1.15x10^5j of work on you as it lifts the entire distance. if your mass is 60.0 kg how tall is the building.
Using the idea of work done under gravity, the height of the building is 187 m.
Work done in a gravitational fieldWe must recall that the work done in a gravitational field is given by; mgh
m= mass
g = acceleration due to gravity
h = height
mass = 60.0 kg
Workdone = 1.15x10^5 J
W = mgh
h = W/mg
h = 1.15x10^5 J/60.0 kg * 9.8 ms-2
h = 187 m
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A object is placed between the focal point and the lens of a concave lens. Where will the image be formed?
Answer:
When object is placed between convex lens and focal point, image formed is virtual and magnified which is shown in the diagram. Was this answer helpful?
BTB is an indicator that reacts with CO2. Based on the data that you collected in this experiment, write a conclusion to the question: Does your body breathe out CO2? State your conclusion clearly, and include the evidence from your experiment that supports it.
Answer:
Yes.
Explanation:
Yes, our body breathe out carbondioxide gas because carbondioxide gas is a waste product produced by the cells of the body during the process of respiration. The concentration of carbondioxide gas is higher in the body as compared to the outside environment and oxygen concentration is lower inside the body so diffusion occurs between the lungs and environment so the carbondioxide gas releases in the air and oxygen is trapped by the hemoglobin cells.
How are the molecules in a gas different from molecules in other states of matter?
Answer: The molecules in gases are different from other states of matter
Explanation:
The molecules in gases are different from other states of matter because unlike, for example, a solid, they move around freely and are much more spread apart. A gas can fill up any container, but once the container is unsealed, the gasses will immedietly be let out. Gases can be compressed much more easily than a solid or a liquid.
. what is the total energy transported per hour along a narrow cylindrical laser beam 1.90 mm in diameter, whose b-field has an rms strength of
7.35 × 10⁻⁹J is the total energy transported per hour along a narrow cylindrical laser beam 1.90 mm in diameter.
The Intensity for an electromagnetic wave
I = cε₀E₀²
where E0 is the electric vector's greatest value and c is the speed of light.
Also
B = E/c
where B is the magnetic field
Therefore:
I= cε₀E₀²
I= c³ε₀B²
Given that the magnetic field is:
B = 1.10×10⁻¹⁰ T
I= (3 X 10⁸m/s)³ X (8.85 X 10⁻12F/m) x(1.100−10T)²
I=2.891 X 10⁻⁶ W/m²
Energy transported per unit hour
E= IAt
where A is the area
and t is the time = 1hr = 3600s
E = 2.89 × 10⁻⁶ × πr² × 3600
E = 2.89 X 10⁻⁶ × 3.14 × ( 1.90 x 10⁻³/4)² x (3600)
E = 7.35 × 10⁻⁹J
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In this activity you will write persuasive essay to promote new perspective about islam. to help lessen discrimination and stereotyping, let your essay speaks of positive convincing evidences about it.
Title: Embracing Islam: Challenging Stereotypes and Promoting Understanding
Introduction:
In today's diverse and interconnected world, it is crucial to challenge discrimination and stereotypes that often plague our society. One area where these misconceptions persist is Islam. Islam, the world's second-largest religion, is often misunderstood and unfairly stigmatized. This essay aims to present a new perspective on Islam, highlighting its positive aspects and providing convincing evidence to foster understanding and promote acceptance.
Body:
1. Islam's Message of Peace:
Contrary to popular belief, Islam is a religion that promotes peace and harmony. The very word "Islam" is derived from the Arabic word for peace, emphasizing its core values. The teachings of Islam stress compassion, justice, and respect for all individuals, regardless of their background. Countless Muslims around the world actively engage in acts of charity, support social justice causes, and strive to build bridges of understanding among diverse communities.
2. Cultural and Intellectual Contributions:
Islam has a rich history of cultural and intellectual contributions that have greatly influenced the world. During the Islamic Golden Age, Muslim scholars made significant advancements in various fields such as mathematics, astronomy, medicine, and philosophy. Their works were translated into multiple languages, laying the foundation for future scientific and intellectual developments. Acknowledging these contributions helps dispel stereotypes and highlights the positive impact of Islam on human civilization.
3. Empowering Women:
Islam recognizes the rights and dignity of women, contrary to prevailing stereotypes. The Quran emphasizes gender equality and encourages the education and empowerment of women. Throughout history, Muslim women have played pivotal roles in various fields, including science, literature, politics, and activism. By showcasing the achievements and contributions of Muslim women, we can challenge the misconceptions that perpetuate discrimination and prejudice.
4. Religious Tolerance and Coexistence:
Islam encourages its followers to respect and coexist with people of other faiths. The Quran explicitly emphasizes the importance of religious freedom and advocates for peaceful interactions between different religious communities. Many Islamic societies have a long history of religious diversity and have fostered environments of tolerance and coexistence, where people from different faiths have lived together harmoniously for centuries.
5. Countering Extremism:
It is crucial to distinguish between the teachings of Islam and the actions of a few misguided individuals or extremist groups. These individuals do not represent the true essence of Islam. Muslim scholars and organizations worldwide consistently condemn acts of terrorism and work tirelessly to promote a peaceful understanding of Islam. By acknowledging the efforts of Muslims in combating extremism and promoting peace, we can undermine stereotypes and foster positive dialogue.
Conclusion:
Promoting a new perspective on Islam requires challenging stereotypes, fostering understanding, and recognizing the positive aspects of this rich and diverse religion. By highlighting Islam's message of peace, cultural contributions, empowerment of women, commitment to religious tolerance, and efforts to counter extremism, we can help build bridges of understanding and foster a more inclusive and accepting society. Let us embrace this opportunity to break down barriers, dispel misconceptions, and promote a world where diversity is celebrated, and discrimination is replaced with understanding and respect.
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The earth wire is now connected to the metal case of the washing machine. Explain why it would now be safe for a person to touch the metal case, even if the live wire touches the metal case.
When the earth wire is connected to the metal case of the washing machine, it provides an alternative pathway for electric current to flow if there is a fault, such as if the live wire touches the metal case. The earth wire is connected to the ground, which has zero potential, so any current that flows through the earth wire will not harm a person who touches the metal case. This is because the person's body is also at zero potential (ground potential) and there will be no potential difference (voltage) across the person's body, which means no electric current will flow through the person's body. Therefore, connecting the earth wire to the metal case of the washing machine ensures that any electrical faults will be safely conducted away from the person, reducing the risk of electric shock or electrocution.
9. A bicyclist is moving down a hill. Her position on the hill gives her 720 J of potential energy, and her
movement gives her 680 J of kinetic energy. What is her total mechanical energy?
A. 260 J
B. 1400 J
C. 2648 J
D. 2.86×105 J
The total mechanical energy of the bicyclist is 1400 J, obtained by adding her potential energy of 720 J and kinetic energy of 680 J. The correct answer is option B.
The total mechanical energy of a moving object is the sum of its kinetic energy and potential energy. Kinetic energy is defined as the energy an object has due to its motion, whereas potential energy is the energy an object has due to its position or configuration.Therefore, the total mechanical energy of the bicyclist is calculated by adding her kinetic energy and potential energy. According to the question, the bicyclist has 720 J of potential energy and 680 J of kinetic energy.Total mechanical energy = Potential energy + Kinetic energy = 720 J + 680 J = 1400 JTherefore, the total mechanical energy of the bicyclist is 1400 J. Therefore, the correct answer is option B.For more questions on mechanical energy
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what is the rate constant of a reaction if rate = 0.2 (mol/l)/s, [a] and [b] are each 3 m, m = 1, and n = 2? apex
The rate constant of the reaction is 0.6 (mol/L)^(1-n) / s.
In the rate equation for a reaction, the rate constant is represented by the symbol k. The rate equation for the given reaction can be written as rate = k * [A]^m * [B]^n, where [A] and [B] are the concentrations of reactants A and B, and m and n are the respective reaction orders.
Given the rate of the value = 0.2 (mol/L)/s, [A] = [B] = 3 M, m = 1, and n = 2, we can substitute these values into the rate equation.
0.2 = k * (3^1) * (3^2)
0.2 = k * 3 * 9
0.2 = 27k
Solving for k, we find k = 0.2 / 27 = 0.0074 (mol/L)^(1-n) / s.
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A +0.05 C charge is placed in a uniform electric field pointing downward with a strength of 100 Newtons over Coulombs.. Determine the magnitude and direction of the force on the charge.
The magnitude of the electric force on the charge is 5 N.
Magnitude of force on the chargeThe magnitude of force on the charge is calculated as follows;
F = Eq
where;
E is electric fieldq is magnitude of the chargeF = 100 N/C x 0.05 C
F = 5 N
Thus, the magnitude of the electric force on the charge is 5 N.
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Answer:
5n downward
Explanation:
took the assignment
hydrostatic pressure force always acts on the centroid of the area. true false
False. Hydrostatic pressure force does not always act on the centroid of the area.
The statement that hydrostatic pressure force always acts on the centroid of the area is false. Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above it. It depends on the depth and density of the fluid and is perpendicular to any surface it acts upon.
When considering a submerged surface, such as a submerged plate or wall, the hydrostatic pressure force is indeed applied normal to the surface. However, this force does not necessarily act at the centroid of the area. The distribution of hydrostatic pressure forces depends on the shape and orientation of the surface.
For irregularly shaped surfaces or surfaces with varying depths, the hydrostatic pressure force acts differently at different points. It follows the principle of Pascal's law, which states that the pressure at a point in a fluid is transmitted equally in all directions. As a result, the force distribution can vary across the surface.
In summary, the hydrostatic pressure force does not always act on the centroid of the area. Its distribution depends on the shape, orientation, and depth of the submerged surface, following the principles of Pascal's law.
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what is the upper block's acceleration if the coefficient of kinetic friction between the block and the table is 0.30?
The weight of the hanging box will weigh the same as the force pulling the block forward, so F = mg = g,a = 1.30 m/s2.
What does a force from physics actually mean?The definition of force of physics states that when an object has mass is pushed or pulled, it alters its velocity. A body's resting its moving status can be changed by an external agent known as force. It has both size and motion.
In terms of physics, what does the word force mean?As a result of interaction with another object, an object feels a push or pull. When two objects interact, there is a force acting on each object. After the encounter, the force between the two objects is no longer felt.
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Pls help I'm desperate
If you place a hot piece of metal in a container of water, thermal energy flows from the metal to the water. What happens after the metal and the water reach the same temperature?
The flow of thermal energy stops, and the temperature remains constant.
The flow of thermal energy continues and causes both substances to become warmer.
The flow of thermal energy reverses and causes both substances to become warmer.
The flow of thermal energy reverses, and the water becomes colder.
Answer:
I think your answer would be D
Explanation:
a ball moving at 60 m/s toward a wall to its right gets back at a speed of 40m/s after striking the wall . if the mass of the ball of
3kg . what is the change in momentum
Answer:
-300 kg*m/s
Explanation:
The velocity of the ball before the collision is +60 m/s, and the velocity after the collision is -40 m/s (since the ball bounces back in the opposite direction). The mass of the ball is 3 kg.
The momentum of the ball before the collision can be calculated as:
p1 = mv1 = 3 kg * 60 m/s = 180 kgm/s
The momentum of the ball after the collision can be calculated as:
p2 = mv2 = 3 kg * (-40 m/s) = -120 kgm/s
The change in momentum is then:
Δp = p2 - p1 = (-120 kgm/s) - (180 kgm/s) = -300 kg*m/s
Note that the negative sign indicates that the momentum of the ball has decreased (since it bounced back in the opposite direction), and the magnitude of the change in momentum is 300 kg*m/s.
if the volume of cylinder is 1000 cm with 14cm height. Then find the radius of cylinder
Answer:
radius=4.77cm
Explanation:
given
r=? ,h=14 , v=1000
then using the formula
\(r = \sqrt{ \frac{v}{\pi \: h} } \)
= √1000/π•14
=4.77cm
ii) One of the containers is wide and shallow. The other container is narrow and deep
Predict which container has the greater rate of cooling. Explain your answer.
A car slows from 90mi/he to 55mi/hr when it sees the police what's the cars acceleration
A person is drawing water from a well, pulling up a bucket that weighs 4.50 kg, at a constant speed. What is the force exerted on the bucket by the rope?
Answer:
44.13015
Explanation:
use the 9.8067 newtons to 1 kg conversion
The force exerted on the bucket by the rope is 44.1 N.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Given parameters:
weighs of the bucket: M = 4.50 kg.
We know that acceleration due to gravity: g = 9.8 m/s².
Hence, gravitational force acting on the bucket in downwards = Mg
= 4.50 kg × 9.8 m/s²
= 44.1 N.
Hence, pulling up a bucket at a constant speed, the person have to exert 44.1 N force on the bucket by the rope so that it can nullify gravitational force acting on the bucket in downwards.
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Find the field strength. Information given
Weight: 0, point, 96, N,0. 96N
Mass: 3, point, 3, g,3. 3g
Field strength is 0.03234 N/kg. The formula to determine the field strength is given by:
F = mg Here, F is the field strength, m is the mass, and g is the gravitational field strength.
Substituting the values given: Weight = 0.96 N Mass = 3.3 g = 0.0033 kg = 9.8 m/s² Therefore, F = mg = 0.0033 kg × 9.8 m/s² = 0.03234 N the field strength is the gravitational force acting on a unit mass. It is measured in newtons per kilogram. The field strength is an expression of the strength of a gravitational field. In this case, the mass of the object is 3.3 g, which can be converted to kilograms by dividing by 1000.
The weight of the object is given as 0.96 N. Using the formula
F=mg, where m is the mass and g is the gravitational field strength, we can calculate the field strength as 0.03234 N/kg.
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A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank
The work done in pumping all the liquid out of the tank is 2500π lb-ft.
Work done calculationThe potential energy of an object is given by the formula:
PE = mgh
Given:
Density of oil = 50 lb/ft^3
Diameter of the tank = 10 ft ( r = 5 ft)
To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:
Volume of oil in the tank:
The volume of a hemisphere = (2/3) * π * (r^3)
Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3
Mass of the oil:
Mass = Volume * Density = (250π/3) * 50 lb
Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).
Finally, we can calculate the work done:
Work = PE = mgh = (250π/3) * 50 lb * 5 ft
Work = (250π/3) * 50 * 5 lb-ft
= 2500π lb-ft
So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.
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During which phase of the moon does a lunar eclipse occur?
full moon
third quarter
waxing gibbous
waning crescent
Answer:
full moon
Explanation:
its A :)
hope this helps:)
During the full moon phase of the moon does a lunar eclipse occur, therefore the correct option is A.
What is an eclipse?An eclipse is formed when a planetary body passes in front of another planetary body and is seen from the third planetary body. there are different types of an eclipse in our solar system based on the respective position of the sun moon and earth during the formation of the particular eclipse, for example, a lunar eclipse happens when the earth comes in between of moon and the sun. During the lunar eclipse, the moon is moved into the earth's shadow resulting in the obstruction of sun rays falling on the moon, and during the lunar eclipse, the sun earth, and the moon are very closely aligned in a straight line. The lunar eclipse can only happen when there is a full moon.
The solar eclipse happens when the moon passes between the sun and the earth and is seen from the earth.
During the full moon phase of the moon does a lunar eclipse occur, therefore the correct option is A.
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Please Help!!!!
A helicopter flies with an airspeed of 42.5 m/s [W]. If the wind is traveling with a velocity of 25.0 m/s [E30°S] relative to the ground then determine the velocity of the helicopter relative to the ground.
a) Use the data from the question to determine the velocity components for the helicopter’s speed relative to the air and the wind’s speed relative to the ground.
b) Use your velocity components from part (a) and determine the resultant velocity for each component. (In other words, determine the resultant horizontal component for the helicopter’s ground speed and the resultant vertical component for the helicopter’s ground speed).
c) Using your data, determine the resultant velocity of the helicopter relative to the ground.
Answer:
a) The vertical component of the helicopters speed relative to the air = 0 m/s
The horizontal component of the helicopters speed relative to the air = -42.5 m/s
The vertical component of the wind speed relative to the ground = -21.65 m/s
The horizontal component of the wind speed relative to the ground = 12.5 m/s
b) The x-component of the helicopter speed relative to the wind speed = -30 m/s
The y-component of the helicopter speed relative to the wind speed = -12.5 m/s
c) The resultant speed of the helicopter relative to the ground is 32.5 m/s in the direction of W 22.6° S
Explanation:
The speed of the helicopter = 42.5 m/s
The direction of flight of the helicopter = West
The wind speed = 25.0 m/s
The direction of the wind = E30°S
a) The velocity components of the helicopters speed relative to the air are;
Vertical component = 0 m/s
Horizontal component = -42.5 m/s
The velocity components of the wind speed relative to the ground are;
Vertical component = -25 × cos(30) = -21.65 m/s
Horizontal component = 25 × sin(30) = 12.5 m/s
b) To find the speed of the helicopter relative to the wind we have;
x-component of the helicopter speed = -42.5 m/s
y-component of the helicopter speed = -0
x-component of the wind speed relative to the ground = 25×sin(30) = 12.5 m/s
y-component of the wind speed relative to the ground = -25×cos(30) = -21.65 m/s
Therefore, the x-component of the helicopter speed relative to the wind speed = -42.5 + 12.5= -30 m/s
the y-component of the helicopter speed relative to the wind speed = 0 + (-12.5) = -12.5 m/s
c) The resultant speed of the helicopter relative to the ground is given by the relation;
\(v_{h, ground} =\sqrt{(v_{h,horizontal})^2 + (v_{h,vertical})^2}\)
= √((-30)² + (-12.5)²) =32.5 m/s
The direction of motion from the x-axis is given as follows;
\(tan(x) = \dfrac{Vertical \ velocity \ component}{Horizontal \ velocity \ component} = \dfrac{-12.5}{-30} = \dfrac{5}{12}\)
\(x = tan^{-1} \left (\dfrac{5}{12} \right ) = 22.62 ^{\circ}\)
Therefore, the helicopter is flying at 32.5 m/s in the direction of W 22.6° S.