The gauge pressure in the water at the foot of the dam is 1.09 * 10^6 Pa.
Pressure is a measure of the force exerted per unit area on the boundaries of a substance. The standard unit for pressure in the SI system is the Newton per square meter or pascal (Pa)The pressure of a fluid of density ρ, at a depth h is:
p = ρ.g.h
Where g is the acceleration due to gravity.
h is height = 111 m,
the fluid is water so its density is ρ = 1000 kg/m³ and
we can use for the gravity g = 9.8 m/s².
The pressure at the foot of the dam is: p = 1000 * 111 * 9.8 = 1.09* 10^6 Pa
When pressure is measured relative to atmospheric pressure (14.7 psi), it is called gauge pressure (psig). The term gauge pressure is applied when the pressure is greater than the atmospheric pressure, patm.To know more about pressure visit:
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A stomp rocket is launched straight into the air and is being watched by students 500 meters away. After 2 seconds, when the angle of elevation is pi divided by 4, the angle is increasing at a rate of 0. 4 radians per second. How fast is the stomp rocket rising at that moment?.
When a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, and the angle of elevation is the angle is increasing at a rate of 0.4 radians per second, the speed of the stomp rocket is 625m/s
We know that when an object is very far away, at the center of that object there is an angle enclosed by the observer and that is given
angle=(length of arc)/radius of the arc.
So, we are given that length of the arc is 500 meters and the angle is 0.4 radians/sec.
So,
0.4=500/r
r=500/0.4
r=1250m
Now we are given the time when it is observed i.e. 2 seconds.
So, we apply the distance speed formula.,
which is Distance=Speed × Time
1250=Speed×2
Speed=1250/2
Speed =625m/s
Does the angle of elevation increases when the point of observation moves toward the object?
The angle of elevation is the angle between the horizontal line from the observer and the line of sight to an object that is above the horizontal line. As the person moves from one point to another angle of elevation varies. If we move closer to the object the angle of elevation increases and vice versa.
When the angle of elevation is?
The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
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what are examples of solutions in your every day life? select one or more: table salt vinegar rubbing alcohol tea pure water mouthwash
Solutions are mixtures where the solute is evenly distributed throughout the solvent. Examples of solutions in daily life include mouthwash, vinegar, rubbing alcohol, tea, and table salt in water.
A solution is a sort of mixture in which a solute and a solvent are dissolved into one another to create a homogenous combination. The solute is that which dissolves, whereas the solvent is that which causes the solute to dissolve. For instance, table salt is a typical solute that can be dissolved in water to create a saltwater solution. In a similar way, vinegar is an acetic acid and water solution. Tea is a mixture of several chemicals, whereas rubbing alcohol is an isopropyl alcohol in water solution.
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what gas causes the temperature of venus to be the hottest in the solar system?
Answer:
Explanation: the coldest
Mercury is the warmest planet in the solar system due to its heavy covering of dioxide and other hot gases that block the sun's heat from reaching it.
Describe planet.
- Definition, Information About, Our Solar System Describe Planet. Planet literally translates to "wanderer." This is due to the fact that the planets do seem to drift aimlessly through the night sky. Although the stars appear stationary in relation to one another, they do migrate across the sky from east to west.
What purpose does a planet serve?
A planet, it was claimed, must accomplish three things. It may seem evident at first that it must orbit the sun. Second, it needs to be large enough for gravity to pull into a spherical shape.
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determine the magnitude of the resultant force if f1 = 300 n and f2 = 460 n . express your answer to three significant figures and include the appropriate units.
The Pythagorean theorem may be used to calculate the size of the resultant force given two forces, f1 = 300 N and f2 = 460 N. R = √(f1^2 + f2^2) When we plug in the values.
we get: R = √(300^2 + 460^2) R = √(90000 + 211600) R = √(301600) R ≈ 550 N As a result, the resulting force is 550 N to three significant digits. the magnitude of the resultant force if f1 = 300 n and f2 = 460 n . express your answer to three significant figures and include the appropriate units.The Pythagorean theorem may be used to calculate the size of the resultant force given two forces, f1 = 300 N and f2 = 460 N. R = √(f1^2 + f2^2) When we plug in the values.we get: R = √(300^2 + 460^2) R = √(90000 + 211600) R = √(301600) R ≈ 550 N As a result, the resulting force is 550 N to three significant digits. the magnitude.
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the diode model which includes the large reverse resistance is the
"The diode model which includes the large reverse resistance is the complete model."
The barrier potential, the modest forward dynamic resistance, and the huge internal reverse resistance make up the entire concept of a diode. Because it provides a pathway for the reverse current, which is taken into account in this diode model, the reverse resistance is taken into consideration.
The complete diode model is the most accurate approximation and includes the barrier potential, the small forward dynamic resistance and the large internal reverse resistance.
The diode functions as a closed switch when it is forward-biased.
In parallel with the substantial internal reverse resistance, the diode functions as an open switch when it is reverse-biased.
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A spark occurs at the tip of a metal needle if the electric fieldstrength exceeds 4.00×106N/C, the field strength at which airbreaks down.What is the minimum surface charge density forproducing a spark?
The minimum surface charge density for producing a spark is 0.0000354.
We consider the tip of a metal to have a negligible surface area and in Metals, due to repulsion the charges try to be at the maximum possible distance and hence accumulate at the surface of the tip.
We know Field strength at the surface of tip
[tex]E= \frac{charge density on tip}{∈)}[/tex]
E= 4.00×106N/C
∈ = 8.85*10-12
minimum charge density to get a spark = E x ∈
= 0 .0000354
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In the experiments conducted by avery, mccarty, and macleod, which one of the following hypothetical results would indicate that lipids were griffith's transforming principle?.
In the experiments conducted by Avery, McCarty, and MacLeod on griffith's transforming principle, they investigated the role of bacteria's genetic material in causing pneumonia.
In their experiments, they used a strain of bacteria that did not cause pneumonia (smooth strain) and a strain of bacteria that did cause pneumonia (rough strain). If they found that transforming the smooth strain with genetic material from the rough strain resulted in the bacteria causing pneumonia, this would indicate that lipids were not the transforming principle. On the other hand, if they found that transforming the smooth strain with genetic material from the rough strain did not result in the bacteria causing pneumonia, this would indicate that lipids were the transforming principle.
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A magnet can hold a piece of paper to the door of a refrigerator. How does the magnet stick without touching the door?
a. Atoms from the magnet pass through the paper and touch the door.
b. Gravity attracts the magnet to the door.
c. The magnetic force of the magnet can act at a distance.
d. The magnet induces a magnetic field in the paper.
A magnet can hold a piece of paper to the door of a refrigerator. The magnet stick without touching the door because C. The magnetic force of the magnet can act at a distance.
What is the magnetic force?The magnetic force is a force which is responsible for magnets attracting or repelling one another. The magnetic force is the attraction or repulsion force that exists between electrically charged particles as a result of their motion. A compass, a motor, the magnets that hold things on the refrigerator, train tracks, and new roller coasters are all examples of magnetic force.
Magnets easily stick to refrigerators because they are made of steel, which is ferromagnetic. Therefore, a magnet can hold a piece of paper to the door of a refrigerator without touching the door because the magnetic force of the magnet can act at a distance.
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A graph with skewness -1.8 would be which of the following? moderately skewed left O highly skewed left O moderately skewed right O highly skewed right
The answer is option B. A graph with skewness -1.8 would be highly skewed to the left.
Skewness- it is a measure of asymmetry in a distribution. Asymmetry in a distribution is when the left and right sides are not mirror images of each other. A distribution can be positively skewed, negatively skewed or have zero skewness.
The left tail of a histogram contains the lower values whereas the right tail of histogram contains the higher values. In skewed left histogram, the left tail is longer than the right tail. The observations in a skewed left histogram, the observations are either medium or large.
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the wedge shaped prominence that projects from the cheek over the ear passage fro protection is identified as the
The correct option is (a)Tragus. The wedge-shaped prominence that projects from the cheek over the ear passage for protection is commonly referred to as the Tragus.
It is located at the opening of the ear canal and helps to protect the ear from external damage and debris. The tragus is a small, fleshy structure with a rounded or pointed tip that can be felt when pressing on the ear. It plays an important role in hearing as it helps to direct sound into the ear canal, and it is also a common site for ear piercings. One of the main functions of the tragus is to protect the ear from external damage and debris. It acts as a barrier, helping to prevent foreign objects from entering the ear canal and potentially causing harm. This is especially important given the delicate and sensitive nature of the structures within the ear, including the eardrum and delicate bones of the middle ear. In addition to its protective function, the tragus also plays an important role in hearing. By directing sound into the ear canal, the tragus helps to improve the quality of sound that is received by the ear. This improved sound quality can result in better hearing and a clearer perception of the sounds around us. Finally, the tragus is a common site for ear piercings. Given its fleshy nature and relatively prominent position, it is an ideal location for piercing and can provide a visually appealing accent to the ear. There are many different styles and types of jewelry that can be used with a tragus piercing, allowing individuals to express their unique sense of style.
The complete question is:
The wedge shaped prominence that projects from the cheek over the ear passage fro protection is identified as the:
(a)Tragus
(b)Antihelix
(c) Helix
(d) Concha
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further down the lane, the bowling ball from problem 3 gets stopped by a pillow in a total of 0.67 seconds. What force did the pillow exert on the bowling ball to bring it to rest?
Based on the change in momentum of the bowling ball, the force the pillow exerts on the bowling ball to stop it is 12.15 N.
What force does the pillow exert on the bowling ball to stop it?The force the pillow exerts on the bowling ball to stop it is calculated as follows:
Force * time = change in momentum
F * t = mv - mu
where;
F is stopping force
t is the stopping time = 0.67 seconds
m is the mass of the ball = 3.7 kg
v is the initial velocity of the ball = 2.2 m/s
u is the final velocity = 0 m/s
F = m(v - u)/t
F = 3.7(0 - 2.2)/0.67
F = -12.15 N
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Complete question:
A bowling ball of mass 3.7 kg is rolled down the lane with a velocity of 2.2 m/s. Further down the lane, the bowling ball from problem 3 gets stopped by a pillow in a total of 0.67 seconds. What force did the pillow exert on the bowling ball to bring it to rest?
a solution contains 25.0 g of nano3 per 110.0 g of solution. calculate the concentration in ppm.
A solution contains 25.0 g of nano3 per 110.0 g of solution, then the concentration in ppm is 0.5 ppm.
Concentration in parts per million (ppm) indicates how many parts of solute are in 1,000,000 parts of solution. For example, saline is a dilute aqueous solution of sodium chloride NaCl(aq) with a concentration of 9,000 ppm.
The key point of PPM is to indicate how many "units" of substance A are for every million total units of solution or mixture. Percentages, in contrast, are very similar measures to PPMs, as they tell you how much there is "out of 100". Just like we can say we have a 7% solution, we can say we have a 36 PPM solution.
The most important thing to remember when performing PPM calculations is that the units you choose for the solution and the units of the substance of interest must be the same. For example, you cannot use solute mass and total solution volume. To get reasonable results, you should use mass and mass or volume.
It is the ratio of the number of grams of solute for every one million grams of solution
Therefore,
ppm = gram of solution/ grams of solute ×10⁶
= 5.0×10⁻⁵/100 ×10⁶
=0.5 ppm
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Changethe temperature value to room temperature, 298K. At the top of the screen, choose the "Properties" tab. How does this view differentiate between solid, liquid and gas element states?
In the "Properties" tab, solid, liquid, and gas states are differentiated based on the physical state of the element at room temperature, 298K.
The "Properties" tab in the temperature conversion tool provides information on the physical state of elements at a specific temperature. By default, the temperature is set to room temperature, 298K.
At this temperature, elements can be in a solid, liquid, or gas state, depending on their physical properties. In the "Properties" tab, the physical state of each element is indicated with a corresponding icon or symbol, such as a snowflake for solid, a droplet for liquid, or a cloud for gas.
This view allows users to quickly determine the physical state of an element at room temperature and provides valuable information for various applications, such as chemical reactions, phase changes, and material science.
By selecting a different temperature, users can also observe how the physical state of an element changes with temperature, providing insights into the behavior of materials and the effects of temperature on their properties.
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Three examples in which mass is the main factor determining an object's momentum.
Answer: A moving block , a moving trailer and a rolling block.
Explanation:
how do i caluclte teh mass of golf ball avaorgardos consrant
The mass of a golf ball can be calculated using the principle of conservation of mass.
The mass of a golf ball can be determined through the principle of conservation of mass by weighing the ball before and after a process that does not change its mass and subtracting any mass change from the total mass to find the mass of the golf ball alone.
To do this, you need to weigh a golf ball before and after a process that does not change its mass, such as immersing it in water or exposing it to a different temperature.
For example, to find the mass of a golf ball using the principle of conservation of mass, you would first weigh the ball on a scale to find its dry mass, then immerse it in water and weigh it again to find its mass in water. The difference between the two masses would be the mass of water that the golf ball displaced, which can be subtracted from the total mass to find the mass of the golf ball alone.
It's important to note that the accuracy of the measurement will depend on the precision of the scale used and the controlled conditions of the experiment, such as the temperature and pressure of the water and the room. Additionally, it's essential to consider the buoyant force that acts on an object immersed in a fluid, which can affect the accuracy of the measurement.
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a roller-coaster's largest drop is 30.0 meters. assuming it starts from rest, what is the speed of the car (in m/s) at the bottom of this drop?
The speed of an object at the bottom of a vertical drop is calculated to be 24.3 m/s.
The speed of an object at the bottom of a vertical drop can be determined using the equation of motion,
v = √(2gh), where
v is the final velocity (speed),
g is acceleration due to gravity (9.8 m/s²), and
h is the height of the drop (30.0 m).
Plugging in the values, we get,
v = √(2 × 9.8 × 30)
v = √(588)
v ≈ 24.3 m/s
So, the speed of the car at the bottom of the drop is approximately 24.3 m/s.
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7. what might the results look like if you left the cells at room temperature after lysing and adding onpg rather than placing them back in the water bath? why?
If the cells are left at room temperature after lysing and adding ONPG, the reaction between ONPG and the remaining active beta-galactosidase in the lysed cells may proceed too slowly or not at all, leading to inaccurate results.
The reaction between ONPG and beta-galactosidase is an exothermic reaction and is temperature dependent, meaning that it proceeds more rapidly at higher temperatures.
Placing the lysed cells back in the water bath after lysing and adding ONPG ensures that the reaction is taking place at a consistent temperature, allowing for accurate and reproducible results.
Leaving the cells at room temperature may result in variations in reaction rate, leading to inconsistencies in the data. To ensure accurate results, it is important to control the temperature during the reaction.
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if a positively charged particle is released in an electric field what does it do'
The movement of a positive charge particle all along electric field, either from greater potential to lower potential. That is a drop in the charge's electric potential energy.
What is the straightforward meaning of potential energy?Potential energy being a form of battery bank that depends on how various system elements interact with one another. A spring's potential energy rises when it is crushed or stretched. Potential energy is something that is not transformed to kinetic energy.
Where does potential energy come from?Everything with mass naturally possesses potential energy, which is a product of matter. But an elastomeric or gravitation force is needed to add energy potential into the substance. Without forces, gravitational potential wouldn't exist.
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a meteor that lands on earth. they are usually rock, but occasionally they are made of iron or nickel is?
A meteor that lands on earth. they are usually rock, but occasionally they are made of iron or nickel called a meteorite.
A meteorite is a solid piece of debris from an object that starts in space, such as a comet, asteroid, or meteoroid, and survives its passage through the atmosphere to reach the surface of a planet or moon.
A meteorite is any relatively tiny natural object from interplanetary space that survives its passage through Earth's atmosphere and settles on the surface. In current usage, the phrase refers to comparable things that settle on the surface of other, larger entities.
Meteorites have a high monetary worth to collectors and a high scientific value to researchers. The value of a meteorite can range from a few dollars to hundreds of thousands of dollars.
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the longest wavelength of light able to eject electrons from a metal is 620 nm. if the metal is irradiated with light of wavelength 500 nm, what is the momentum of the emitted photoelectron?
The momentum of a photoelectron can not be determined solely from the wavelength of light used to irradiate a metal. The incident light of wavelength 500 nm has a lower energy than the light of wavelength 620 nm, so the momentum of the photoelectron would be smaller in the former case.
The momentum of the photoelectron depends on several factors such as the energy of the incident photon, the binding energy of the electron in the metal, and the interaction between the light and the metal. In general, the larger the energy of the incident photon, the larger the momentum of the photoelectron. The incident light of wavelength 500 nm has a lower energy than the light of wavelength 620 nm, so the momentum of the photoelectron would be smaller in the former case.
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a vector has an x component of -24.5 units and y component of 36.2 units. find the magnitude and direction of this vector.
The magnitude of the vector is [tex]44.20 units[/tex]
The direction of the vector is [tex]-56.34 deg[/tex]
What is magnitude?Magnitude is simply "distance or quantity" in physics. It illustrates the absolute or relative size, direction, or motion of an object. It is employed to describe something's size or range. Magnitude in physics typically describes a size or quantity.
"How much of a quantity" is how the word "magnitude" is defined. The magnitude, for instance, can be used to explain a comparison of the speeds of a car and a bicycle. Additionally, it can be used to describe how far an object has travelled or how much of an object is represented by its magnitude.
let A = [tex]A_x i+A_y j[/tex] is a vector.
x-component of the vector A is [tex]A_x =-24.5 i[/tex]
y-component of the vector A is [tex]A_y =32.8 j[/tex]
[tex]44.20 units[/tex][tex]44.20 units[/tex]
Magnitude of the vector A is
A = [tex]\sqrt(-24.5)^2+(36.2)^2[/tex]
= [tex]43.71[/tex]
Direction θ = [tex]tan^-1(A_y/A_x)[/tex]
= [tex](36.8/-24.5)[/tex]
= [tex]-56.34 deg[/tex]
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How many Ounces in 1 Liter · 1 L = 33.81 US customary fluid ounces ·
Customary fluid liter of liquid weighs a substantial 33.814 fluid ounces, or 4 and 2/8 cups' worth.
How much liquid in US ounces?A fluid ounce, often known as fl oz, fl. oz, or oz. fl, is a unit of liquid volume equal to 1/16 of a US liquids pint, or 1/128 of a US litre in the US system, or 1/20 of a pint and 1/160 of an Oblate spheroid in the imperial system.
How are liters measured in America?Instead, we utilize fluid ounces, teaspoons, pints, quarters, and gallons when determining the density of a solution using U.S. generally utilized units, with gallons serving as the smallest and largest measurement units, respectively.
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How long does it take a spacecraft to get from the earth to the sun?
The time it takes a spacecraft to travel from Earth to the Sun depends on its speed and trajectory. On average, it takes about 3-4 months for a spacecraft to reach the Sun using conventional propulsion methods.
Space travel from Earth to the Sun is a significant undertaking that requires precise planning and execution. The time it takes for a spacecraft to reach the Sun depends on multiple factors, including its speed and the trajectory it follows. Conventional propulsion methods, such as chemical rockets, are typically used to send spacecraft to the Sun.
These missions typically take 3-4 months to complete, although the exact time can vary depending on the specific mission parameters. Factors such as the launch date, the size of the spacecraft, and the mission objectives can all impact the duration of the journey.
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The time it takes for a spacecraft to travel from the Earth to the Sun depends on various factors such as the spacecraft's speed and trajectory.
On average, it takes a spacecraft approximately 3 to 9 months to travel from the Earth to the Sun using a direct trajectory. However, some missions, such as NASA's Parker Solar Probe, take advantage of gravity assists from planets to reduce the travel time and arrive at their destination in a shorter period of time. The specific travel time for a spacecraft depends on the mission's goals and objectives, the spacecraft's design and capabilities, and the trajectory selected by mission planners. The average distance from the Earth to the Sun is about 93 million miles (149.6 million kilometers). The journey from the Earth to the Sun is a long and complex mission that requires careful planning and execution.
Spacecraft traveling to the Sun typically use a combination of gravity assists from planets and their own propulsion systems to complete the journey. Gravity assists from planets allow the spacecraft to gain speed and alter its trajectory, reducing the total travel time and fuel requirements.
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on fm the frequencies range from 88 mhz to 108 mhz (megahertz) and travel at the same speed. what are their wavelengths?
Their wavelengths for an FM radio frequency of 88 MHz is 34.1 cm and for a frequency of 108 MHz 27.8 cm.
Wavelength of an electromagnetic waveThe wavelength of an electromagnetic wave is inversely proportional to its frequency. So, the higher the frequency, the shorter the wavelength.
what is The formula to calculate the wavelength (λ) of an electromagnetic wave is ?
λ = c / f
where c is the speed of light (3 x 10^8 meters per second) and f is the frequency in hertz.
So, for an FM radio frequency of 88 MHz, the wavelength can be calculated as follows:
λ = c / f = 3 x 10^8 / 88 x 10^6 = 0.0341 meters = 34.1 cm
And for a frequency of 108 MHz:
λ = c / f = 3 x 10^8 / 108 x 10^6 = 0.0278 meters = 27.8 cm
These are the approximate wavelengths for FM radio frequencies in the range of 88 MHz to 108 MHz.
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you observe a ball that moves (33.3 ± 0.1) cm in (16.35 ± 0.04) s. what is the observed speed of the ball (best estimate and most probable uncertainty)? (speed = distance / time) A. (2.04 ± 0.01) cm/sB. (1.542 ± 0.005) cm/sC. (2.99 ± 0.01) cm/sD. (2.037 ± 0.008) cm/sE. (2.92 ± 0.02) cm/s
The observed speed of the ball can be calculated by dividing the distance it moves by the time it takes to move that distance. Using the given measurements, we have:
Speed = Distance / Time = 33.3 cm / 16.35 s = 2.037 cm/s
The most probable uncertainty in this calculation can be estimated by propagating the uncertainties in the measurement of distance and time. Using standard error propagation techniques, we get:
Uncertainty = sqrt( (0.1/33.3)^2 + (0.04/16.35)^2 ) * 2.037 = 0.008 cm/s
So, the best estimate for the observed speed of the ball is (2.037 ± 0.008) cm/s.
This answer corresponds to option D.
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a sphere of solid gold has a mass of 100 kg and the dinsity of gold is 19.3 g/cm^3 what is the radius of the sphere
The required radius of the sphere when density and mass of sphere are given is calculated to be 10.73 cm.
The mass of gold is given as 100 kg = 10⁵ g
Density of gold is given as 19.3 g/cm³.
Radius of the sphere = ?
We know the expression for density of gold as,
Density = mass of sphere/volume of sphere
Volume of sphere v = 4/3 π r³
Putting the values into the above equation, we have,
D = m/v
19.3 = 10⁵/(4/3 π r³)
4/3 π r³ = 10⁵/19.3
r³ = 10⁵/19.3 × 3/4π = 1236.95 cm³
r = (1237)^(1/3) cm = 10.73 cm
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write the semiconductor's elements which are used in the power electronics
The semiconductor's elements which are used in the power electronics are silicon, germanium, tin, selenium and tellurium.
Germanium is a pure element that is frequently used with gallium, arsenic, or other elements. It is also a semiconductor that is utilised as a transistor in countless electronic applications. Nevertheless, alternative semiconductors have since taken its position. High indexes of diffraction and scattering characterise germanium oxide.
In electronics, solder accounts for 50% of all tin utilisation. The "glue" that holds everything electronic together is solder. Robots, computers, electric vehicles (EVs), power storage, and renewable energies will be the backbone of our clean, new technological future. All of them demand more circuits and semiconductors, all which demand more tin.
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A projectile is fired with an initial speed of 600 m/s from the top of a cliff of height 20 m making an angle 30 degree with the horizontal. At what distance from the foot of the cliff does it strike the ground?
At distance 319m from the foot of the cliff does it strike the ground.
It strikes the ground 3.2x10^4 meters from the base of the cliff
Let's write our given variables:
initial velocity (V)=600m/s
angle of incline (θ)=30°
initial height (h)=20m
acceleration due to gravity (g)=9.81m/s2
To Find: we first need to understand that there are two basic types of motion for this type of projectile motion. Accelerated vertical (or "y-axis") motion and smooth horizontal (or "x-axis") motion. The vertical component of motion is affected by gravitational acceleration, but the projectile's horizontal velocity remains the same throughout. We unrealistically assume that drag is ineffective without drag because there are too many unknown factors that need to be resolved. Find the initial vertical and horizontal velocities.
Sinθ = opposite/hypotenuse
= V(y)/V
V(y) = V(Sinθ)
V(y) = 600m/s × Sin(30°)
V(y) = 300m/s
This vertical speed will be altered over time by the Earth's gravity.
Cosθ = adjacent /hypotenuse
=V(x)/V
V(x) = V(Cosθ)
V(x) = 600m/s × Cos(30°)
V(x) = 519.6152423m/s
Since this is a uniform horizontal velocity, to solve for horizontal distance using the formula v=d/t
All we need to do is find the time the projectile is in the air. First, solve for the time it takes for the projectile to reach the summit, which is known to have a velocity of 0 m/s because it is perfectly stationary for a moment.
V(f) = V + at = V(y) + gt₁
t₁ = (V(f)−V(y) /g
t₁ = (0m/s−300m/s)/(−9.81m/s2)
t₁ = 30.58103976s
Next, the time for it to reach the ground, and for this we need total height at the apex, which will be the vertical distance travelled plus the initial 20m of the cliff:
d = (V(f)+V)/2)t₁ + 20m
d = (0m/s+300m/s)/2) × 30.58103976s + 20m
d = 4607.155963m
With this distance we can find the time it takes for the projectile to reach the ground from its apex:
d = V(t) + (1/2)
t₂ = (2d−Vit2)/g
t₂ = √((2(4607.155963m)−(0m/s×t2))/(9.81m/s2))
t₂ = 30.64763391s
Now, we put the two times together:
t =t₁+t₂ = 30.58103976s + 30.64763391s
t = 61.22867367s
Finally, we go back to the x-axis and use this time to solve for the horizontal distance the projectile has moved to the point of impact:
V = d/t
d = V (x) (t)
d = 519.6152423m/s × 61.22867367s
d = 319 m
The projectile strikes the ground at a distance of 3.2x10⁴ meters from the base of the cliff.
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which law provides us with the relationship between force, mass, and acceleration?
[tex]F = ma[/tex], or force is equal to mass times acceleration, is the second of Newton's second laws of motion, discovering the acceleration calculation formula.
Newton's second law provides a precise explanation of the adjustments that a force can make to a body's motion. According to this law, a body's momentum changes at a rate that is proportional to the force acting on it, both in magnitude and direction.
According to Newton's Second Law of Motion, when a force applies on a mass, the mass accelerates (gains speed) (object). A nice illustration of this rule of motion in action is while you are riding your bicycle. Your bicycle makes up the mass. The force is generated by your leg muscles pressing against the bicycle pedals. One more illustration is pulling a cart. In a grocery store, an empty cart is simpler to maneuver than one that is filled, and heavier loads need for greater acceleration.
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A smooth; thin, square piece of rubber, six inches by eight inches; is sitting on & smooth table at sea level. What is the total force of the atmosphere on the material?
The total force of the atmosphere on a 6x8 inch rubber square at sea level is approximately 14.7 pounds, due to atmospheric pressure.
The total force of the atmosphere on a 6x8 inch rubber square at sea level is due to atmospheric pressure, which is caused by the weight of the air above it. The standard atmospheric pressure at sea level is 14.7 pounds per square inch (psi).
So, the total force on the rubber square would be 6 x 8 x 14.7 = 705.6 pounds. It's important to note that atmospheric pressure can vary depending on altitude, temperature, and other factors, but at sea level it is commonly taken to be 14.7 psi.
Additionally, the smooth and thin nature of the rubber square means that it will be affected very little by surface tension or other forces, so the pressure alone will be the dominant force acting on it.
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