To carry 20,000 CFM of air without exceeding a velocity of 1600 ft/min, a duct with a cross-sectional area of 4.82 square feet is required. The pressure drop due to air velocity in this duct is 0.0085 inches of water. The equivalent rectangular duct with equal friction and capacity if one side is 26 inches is approximately 13.61 inches by 26 inches.
To determine the size of the duct required to carry 20,000 CFM of air, we need to calculate the cross-sectional area of the duct. First, we convert the velocity limit of 1600 ft/min to feet per second by dividing it by 60. This gives us 26.67 ft/s. Then, we can use the formula A = CFM / (Velocity * 144) to find the cross-sectional area, where A is in square feet, CFM is the flow rate in cubic feet per minute, and Velocity is in feet per second. Plugging in the values, we get A = 20000 / (26.67 * 144) = 4.82 square feet.
Next, we need to calculate the pressure drop due to air velocity in the duct. This can be done using the formula ΔP = 0.109 * (Velocity / 4005) ^ 2 * (Density * Length), where ΔP is the pressure drop in inches of water, Velocity is in feet per second, Density is the air density in pounds per cubic foot, and Length is the length of the duct in feet. Assuming standard air conditions of 70°F and 29.92 inches of mercury pressure, the air density is 0.075 pounds per cubic foot. Let's assume a duct length of 100 feet. Plugging in the values, we get ΔP = 0.109 * (26.67 / 4005) ^ 2 * (0.075 * 100) = 0.0085 inches of water.
Finally, we need to find the equivalent rectangular duct with equal friction and capacity if one side is 26 inches. The equivalent rectangular duct can be calculated using the formula A = (2 * B + H) * H, where A is the cross-sectional area of the duct, B is the smaller side of the rectangular duct, and H is the larger side. Solving for H, we get H = (-2B ± sqrt(4B^2 + 4A)) / 2. Let's assume B is 26 inches. Plugging in the values, we get H = (-2 * 26 ± sqrt(4 * 26^2 + 4 * 4.82)) / 2. Solving for H, we get H = 13.61 inches or H = -39.61 inches (which is extraneous). Therefore, the equivalent rectangular duct with equal friction and capacity is approximately 13.61 inches by 26 inches.
In conclusion, to carry 20,000 CFM of air without exceeding a velocity of 1600 ft/min, a duct with a cross-sectional area of 4.82 square feet is required. The pressure drop due to air velocity in this duct is 0.0085 inches of water. The equivalent rectangular duct with equal friction and capacity if one side is 26 inches is approximately 13.61 inches by 26 inches.
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Please answer by 8 pm!!! Thank you so much!
Mr. And mrs. Ozawa are driving their family to a vacation spot 496496 miles away. They want to get there in 88 hours. What is the average speed they need to drive?.
The average speed they need to drive is around 5.64 miles per hour. The result is obtained by dividing the total distance by the total time taken.
What is average speed?Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as
Avg speed = Total distance covered / Total time taken
Mr. and Mrs Ozawa are driving 496 miles away. The time they want to get there is 88 hours.
Find the average speed they need to drive!
We have
The total distance = 496 miles.The time taken = 88 hours.We would get
Avg speed = Total distance covered / Total time taken
Avg speed = 496 miles / 88 hours
Avg speed = 5.64 miles per hour
Hence, they need to drive with the average speed at around 5.64 mph.
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pls help I need the answer
Answer:
You need to plug in the values
(C) 100(-1/2)^0 = 100
100(-1/2) = -50
100(-1/2)^2 = -25
100(-1/2)^3 = 100 * -1/8 = -12.5
A cockroach and a spider are walking on the sands at a desert. Assume that both have the same weight and same sized legs. Which one would leave a deeper footprint on the sand? Why?
Answer:
cockroach
Explanation:
Because cockroach have only six legs and the surface area would be 6x (where x is size of foot) but in case of a spider who have 8 legs the area would be 8x since, 8x>6x the cockroach will leave deeper footprints
In a simple model of the hydrogen atom, the electron moves in a circular orbit of radius 0. 053 nm around a stationary proton.
The orbital speed of the electron using the equation is 5.41 x 10^7 m/s.
What is orbital speed?Orbital speed is the speed of an object in orbit around a larger body, such as a planet or star. The speed of an object in orbit is determined by two factors: the mass of the central body and the distance of the object from the central body. If a body is more massive, the object in orbit must move faster to maintain its orbit. Similarly, if an object is closer to the central body, it must move faster to remain in orbit. Orbital speed is usually measured in kilometers per second (km/s). The orbital speed of Earth’s Moon, for example, is 1.022 km/s. Orbital speed is an important factor in space exploration, as spacecraft must achieve certain speeds to reach distant destinations.
The orbital speed of the electron can be calculated using the equation:
V = (2πr)/T
where r is the radius of the orbit, and T is the orbital period.
Assuming the orbital period is 2.2 x 10^-17 s, the orbital speed of the electron is:
V = (2π x 0.053 x 10^-9 m)/(2.2 x 10^-17 s) = 5.41 x 10^7 m/s
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Describe the magnetic field of a south-south pole arrangement.
When one south pole's magnetic field line comes close to another south pole, the second south pole's field lines will begin to bend away from the first south pole.
What configuration do magnetic poles have?A bar magnet suspended in the Earth's magnetic field will naturally point north and south. Any pole that pursues the north is referred to as a north magnetic pole, such as the north-seeking pole of this sort of magnet. The south-seeking pole or any pole that resembles it is a south magnetic pole.
What takes place at the magnet's south pole?Like poles repel one another whereas opposite poles are attracted to one another. Therefore, when the south pole of a magnet is brought close to the north pole of a magnetic needle that is suspended freely, it will attract. A. When the South pole of a magnet is brought close to the North pole of a magnetic needle that is suspended freely, they will both attract one another.
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A cat knocks a 0.01kg toy mouse across the floor. If it travels 5m and the cat does 7J of work, how much force did the cat exert on the mouse?
1.4N
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W = Fd
7J = F * 5m
The force exerted by the cat on the toy mouse is 1.4N
The amount of work done is 7J
The displacement experienced by the object is 5m
We know that work done (W) = Force (F) × Displacement (D)
W= F×D
7= F×5
Therefore, F=7/5
F= 1.4N
Therefore, the force exerted on the object is 1.4N
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A machine gun fires 25-g bullets at the rate of 4 bullets per second. The bullets leave the gun at a speed of 1000 m/s. What is the average recoil force experienced by the machine gun?.
Answer:
100 N
Explanation:
For ONE bullet ( .025 kg)
fired to 1000 m/s in .25 s ( four per second)
acceleration = 1000 m/s / .25 s = 4000 m/s^2
then F = ma
= .025 kg * 4000 m/s^2 = 100 N
What do scientists use to divide the geologic time scale?
Major changes in mineral deposits in the rock layers
Evidence for catastrophic events in Earth's history
Major divisions in the fossil records
Major divisions in the sedimentary rock layers
The thing that scientists use to divide the geologic time scale is option C: Major divisions in the fossil records
What is the fossil records about?Fossils are the remains or traces of ancient organisms that have been preserved in rock layers. Scientists study fossils to learn about the history of life on Earth, and the different types of fossils found in different rock layers can provide information about the different time periods in which those organisms lived.
Other methods, such as major changes in mineral deposits in the rock layers, evidence for catastrophic events in Earth's history, and major divisions in the sedimentary rock layers, can also provide information about different time periods, but the use of fossils is the main method for dividing the geologic time scale.
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A savings account is opened with an initial deposit of $425. 0. Determine the account balance after 9 years if the account earns 2. 7% simple interest annually. $3,928. 28 $1,457. 75 $528. 28 $103. 28.
After 9 years, the account balance would be $528.28. The result is obtained by adding the amount of interest to the initial deposit.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
I = A - P
Where
I = simple interestP = principal amount (initial balance)r = simple interest ratet = time periodA = final balanceA savings account has the initial deposit of $425.00. It earns 2.7% simple interest per year. Find the final account balance after 9 years!
The amount of interest itself is
I = P × r × t
I = $425.00 × 2.7% per year × 9 years
I = $425.00 × 0.027 × 9
I = $103.28
The account balance after 9 years would be
I = A - P
$103.28 = A - $425.00
A = $425.00 + $103.28
A = $528.28
Hence, the final account balance after 9 years is $528.28.
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4. Which of the following statements is not accurate regarding identifying factors on the health pyramid?
O All three sides of the health triangle affect each other.
Personal actions are categorized on the health pyramid by the intended purpose of the initial actions.
O Physical health is the base of the triangle and is the most important part of the health triangle.
O Working out a gym would be categorized in the physical health category.
Physical health is the base of the triangle and is the most important part of the health triangle.
How does a food pyramid help individuals eat a healthy diet?A fantastic method to show what foods go into a healthy diet is to translate nutritional advice into a vibrant pyramid. The design quickly conveys the idea that some foods are healthy and should be consumed frequently, while others are less healthy and should only be consumed sometimes. Protein, not fat, is a factor in regulating the evolution of genetic traits. Additionally, fat aids in the absorption of vitamins A, D, E, and K. Fat serves as the body's main energy reserve and is essential for functions like digestion. For a healthy, balanced diet, the Food Pyramid outlines how much of your total intake should come from each shelf.To learn more about food pyramid refer to:
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A police car is heading towards you with its siren blaring. Explain what is
happening to the wavelength as the police car is moving towards you and what is
happening to the wavelength as the firetruck moves away from you.
The sound waves become louder and more frequent as a police car approaches a person on the street. This person notices the siren's pitch rising. The sound waves become less frequent as they spread apart and accelerate away from the police car.
What changes in wavelength do you notice when a siren is coming?Therefore, even though the siren emits waves with a constant frequency, as it gets closer to us, the observed frequency rises and we hear a higher pitch. The observed frequency and pitch decrease as it moves away after passing us.
When the police car approaches, what frequency will you hear?A police car's siren has a pure tone and operates at a frequency of 1125 Hz.
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Anthony walk to the pizza place for lunch. He walk 1 km eat then 2 km outh and then 1 km eat again. What ditance did he cover and what wa hi diplacement
Answer:
Explanation:
3km
A 1.8 kg rock initially at rest loses 390 J of potential energy while falling to the ground. Assume that air resistance is negligible.
Calculate the kinetic energy that the rock gains while falling.
The rock gains 412 J of kinetic energy as it falls.
What is a kinetic example?
Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from the a table, or a charged particle inside an electric field.
What makes it kinetic energy?
Describe kinetic energy. A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force.
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9. **A golfer can drive a ball with an initial speed of 30.0 m/s. If the tee and the green are separated by 80m, but on the same level, at what angle should the ball be driven (Hint: recall that 2cos(x)sin(x)=sin(2x))?
Answer:
Range formula:
R = V^2 sin 2θ / g
sin 2θ = R g / V^2 = 80 m * 9.80 m/s^2 / (30 m/s)^2 = .871
2θ = 60.6 deg
θ = 30.3 deg
Check: 30 * cos 30.3 = 25.9 m/s horizontal speed
t = 80 m / 25.9 m/s = 3.08 sec to reach target
H = Vy0 t - 1/2 g t^2
Vy0 = 30 * sin 30.3 = 15.1 m/s initial vertical speed
H = 15.1 * 3.08 - 4.9 * 3.08^2 = 46.5 - 46.5 = 0
Ball will be back at starting height after 3.08 s
A 415 kg container of food and water is dropped from an airplane at an altitude of 300 m.
If you disregard air resistance and assume that the object is falling freely, it will take 7.82 seconds for the container to descend 300 meters to the earth.
Describe free fall.Free fall is any motion of an item in which gravity has been the only force applied on it.
The thing that was dropped from the plane is falling freely.
The only force operating on the container, which accelerates it by a consistent amount regardless of air resistance, is gravity.
The formula for calculating the amount of time it will take an item to reach the floor when it is in free fall is as follows:
s = ut + ¹/₂gt²
where
h is the height above the ground = 300 m
Since the container starts at rest, its initial vertical velocity, u, is equal to zero.
g is the acceleration of gravity = 9.8 m/s²
t is the time = ?
The equation above becomes;
h = ¹/₂gt² since u is zero
Solving the equation for t:
t = √2h/g
t = √2 * 300 / 9.8
t = 7.82 seconds.
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The Complete question is:
A 415-kg container of food and water is dropped from an airplane at an altitude of 300m. First, consider the situation ignoring air resistance. Then calculate the more realistic situation involving a drag force provided by a parachute.
1. If you ignore air resistance, how long will it take the container to fall 300m to the ground?
If you are initially driving at a peed of 30 km/h with a contant acceleration of 2. 0 m/2. Determine
how much time, in econd, it will take you to reach a peed of 60 km/h?
In 4.16 seconds, 60 km/h speed can be achieved if the initial speed is 30 km/h and the acceleration is 2.0 m/s².
Initial speed, u = 30 km/h
Final speed, v = 60 km/h
Constant acceleration, a = 2.0 m/s²
Converting the initial speed in m/sec = 30 × 5/18
u = 75/9 m/s
Converting the final speed in m/sec = 60 × 5/18
v = 150/9 m/s
By the first equation of motion, which is used to determine the final velocity of an object which has some constant acceleration.
v = u + at
t = (v-u)/a
t = [(150/9) - (75/9)]/2
t = 4.16 sec.
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A student adds ice to several samples of water. The results are shown in the table. Which conclusion can be drawn from the results?
I added the question below
I need the answer fast.
The conclusion of the experimental result is as the amount of the ice added increases, the change in temperature increases.
option C.
What is the conclusion of the result?
The conclusion of the experimental result can be obtained as follows;
The change in the temperature for the mass of ice of 59.9 g is calculated as;
Δθ = 16 - 20.2
Δθ = - 4.2 ⁰C
The change in the temperature for the mass of ice of 60 g is calculated as;
Δθ = 44.2 - 48.1
Δθ = - 3.9 ⁰C
The change in the temperature for the mass of ice of 71.1 g is calculated as;
Δθ = 1 - 6.1
Δθ = - 5.1 ⁰C.
The change in the temperature for the mass of ice of 122.6 g is calculated as;
Δθ = 3.3 - 14.6
Δθ = - 11.3 ⁰C
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Superman hits a stationary golf ball. The club and
ball are in contact for 0.01 seconds. Afterward, the
ball has momentum with a magnitude of 10 kg-m/s.
What was the average collision force?
It strikes the wall normally with a velocity of v₁ = 30 m/s and rebounds with a velocity of v₂ = -20 m/s. We know that impulse is equal to the change in momentum. So, So, the impulse of the force exerted by the wall on the ball is 5 kg m/s.
a)x²+x+1=0
x=b±√b²-4ac/2a
x=-1±√-3/2=-1±√3i/2
b) z=-1/2+i√3/2
x=-1/2 y=√3/2 lies
r=√x²+y²=√1/4+3/4-1
sin∅=√3/2 cos∅=-1/2
tan∅=√-3
since Z lies in Q 2nd arg(Z)=π-∅
∅=π-π/3=2π/3
Z=r(cos∅+isin∅)
=1(cos 2π/3+isin2π/3)
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Radiation is spontaneously emitted from hydrogen-3 nuclei, but radiation is not spontaneously emitted from hydrogen-1 nuclei or hydrogen-2 nuclei. Which hydrogen nuclei are stable?.
Nuclei of H1 and nuclei of H2 are the only stable nuclei oh hydrogen.
Hydrogen is the first and most basic of all elements in the universe.
It is also the lightest element in the periodic table and 90% of all atoms in the universe are hydrogen atoms.It is represented by the symbol 'H'Radiation is spontaneously emitted from nuclei of H3 because this isotope of hydrogen is highly radioactive as compared to other isotopes of hydrogen namely; nuclei of H1 and nuclei of H2.
The nucleus of H3 also called as tritium contains one proton and two neutrons, while the nucleus of the common isotope H-1 (protium) contains one proton and zero neutrons, and the nucleus of H-2 (deuterium) contains one proton and one neutron.
Therefore H1 and H2 have much stable nucleus as compared to nuclei of H3.
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Kinetic energy is the energy of motion. How could you determine how much kinetic energy an object has?.
Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.
What is being moved?Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.
Kinetic energy:Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.
A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.
The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.
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What is HEV configuration?
HEV (Hybrid Electric Vehicle) configuration is a type of vehicle powertrain that combines a traditional internal combustion engine (ICE) with an electric motor.
HEV technology uses a battery to store electricity generated from the ICE, which is then used to power the electric motor when needed.
This can result in improved fuel efficiency and reduced emissions compared to conventional ICE vehicles.
Additionally, HEV configurations can often provide enhanced performance due to the combination of ICE and electric power.
HEV (Hybrid Electric Vehicle) configuration is a technology that combines a conventional internal combustion engine with an electric motor. This hybrid system is designed to provide improved fuel efficiency and reduce emissions.
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Calculate the number of atoms in a \pu{67. 5 mg}67. 5 mg67, point, 5, space, m, g sample of \ce{sr}srs, r.
1. Convert the mass of \pu{67.5 mg}67.5 mg67, point, 5, space, m, g to grams: 67.5 mg = 0.0675 g
2. Calculate the molar mass of \ce{sr}srs, r:Molar mass of \ce{sr}srs, r = 87.62 g/mol
What is molar mass?Molar mass is a measure of the amount of mass contained in one mole of a given substance. It is expressed in grams per mole (g/mol) and is numerically equal to the atomic or molecular weight of the substance. The molar mass of a substance is calculated by adding together the atomic masses.
3. Calculate the number of moles:
n = m/M = 0.0675 g/87.62 g/mol = 0.0007704 mol
4. Calculate the number of atoms:
Number of atoms = n x Avogadro's number
= 0.0007704 x 6.022 x 10^23
= 4.24 x 10^20 atoms
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A 0.010 kg marble moving right at 3.0 m/s hits a 0.020 kg marble moving left at -3.0 m/s. If the larger marble continues to roll to the left at -1.0 m/s after the collision, what does the smaller marble take off at?
The velocity of the smaller marble after collision is -0.33 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the smaller marble after collision, we use the formula below.
Formula:
V = [(m'v+mu)-mU]/(m+m')................. Equation 1Where:
V = Velocity of the smaller marble after collisionm = Mass of the bigger marblem' = Mass of the smaller marblev = Initial velocity of the smaller marbleu = Initial velocity of the bigger marbleU = Final velocity of the bigger marbleFrom the question,
Given:
m = 0.02 kgm' = 0.01 kgu = - 3 m/sv = 3 m/sU = -1 m/sSubstitute these values inton equation 1
V = [0.02(-3)+(0.01×3)-0.02(-1)](0.01+0.02)V = (-0.06+0.03+0.02)/0.03V = -0.01/0.03V = -0.33 m/sHence, the smaller marble take off at -0.33 m/s.
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Calculate the gravitational force between two people, 60 kg and 70 kg, respectively,
separated by 2.5 meters.
According to the question The Answer is F = 7.008 x 10^-8 N. Because every item in the cosmos that has mass pulls on every other object with a gravitational force, there is a gravitational force.
How to Calculate the gravitational force between two peopleThe gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity
The Newton's Law of Universal Gravitation According to Isaac Newton, the gravitational pull between any two objects is inversely proportional to the square of their separation (r) and is directly related to their respective masses (m 1 and m 2). The formula is
F g = G m 1 m 2/ r 2.
G is the universal gravitational constant in this equation.
G = 6.67 × 10 − 11 N ⋅ m 2 / k g 2 .
This is based on the assumption that two people are "standing" 2 meters apart in outer space, free from any other substantial gravitational forces.
F = Gm1m2/r^2
where r is the distance between the centers of mass.
G = 6.6743 × 10^-11 m^3•kg^-1•s^-2 (N•m^2•kg^-2)
m1 = 60 kg
m2 = 70 kg
r = 2 m
F = 6.6743 x 10^-11 N•m^2 kg^-2•(60•70) kg^2/ (2 m)^2
F = 7.008 x 10^-8 N
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Identify the type of indirect evidence scientists investigate to learn what local climates were like in the distant PAST.
A.
current weather data
B.
tree rings
C.
current rainfall
D.
wind patterns
B. tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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tree rings. We can piece together the history of Earth's former climates thanks to Greenland & Antarctica, sediments from lakes and seas, and many more natural proxies records of climatic changes.
What are the GCSE examples of climate change evidence?The temperature of the Earth has been clearly rising over the past several decades, according to ongoing thermometer temperature records.
What sort of indirect evidence is that?Indirect examples of evidence include physical evidence such as bloodstains and other kinds of physical proof.Similar to forensic & scientific evidence, fingerprint evidence is also indirect.
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Find vm the muzzle velocity of the ball (i. E. , the velocity of the ball at the spring's equilibrium position y=0 ).
This means that the ball does not have any velocity when it is at the spring's equilibrium position.
What is equilibrium?Equilibrium is a state of balance where opposing forces or influences are equal and balanced. It is a situation where there is no tendency for change in a system. Equilibrium can be reached in a variety of situations in economics, physics, chemistry, biology, and other fields. In economics, equilibrium is the state at which the market prices of goods and services are stable and consistent with the amount of goods and services that are being supplied and demanded. In physics, equilibrium is a state where all forces acting on an object are balanced and no net force is present. In chemistry, equilibrium is a state where the rates of the forward and reverse reactions of a chemical reaction are equal. In biology, equilibrium is a situation where the forces of natural selection are balanced and no net change in the genetic composition of a population is observed.
The muzzle velocity of the ball can be calculated using the equation v = √2gy,
Where v is the velocity of the ball, g is the acceleration due to gravity, and y is the height of the spring's equilibrium position.
In this case, the muzzle velocity of the ball is equal to √2g*0, or 0 m/s, since the spring's equilibrium position is at y=0.
This means that the ball does not have any velocity when it is at the spring's equilibrium position.
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A car roll down the hill, accelerating at 2m/^2. How far doe it roll in 1. 5 econd ?
So the car rolls a distance of 2.25 meters in 1.5 seconds.
To find the distance the car rolls in 1.5 seconds, we need to use the equation:
Distance = Initial velocity x Time + (1/2) x Acceleration x (Time^2)
Since the initial velocity of the car is 0 (it's rolling down the hill and not moving initially), we can simplify the equation to:
Distance = (1/2) x Acceleration x (Time^2)
Plugging in the values we have:
Distance = (1/2) x 2m/s^2 x (1.5s)^2
Distance = (1/2) x 2 x 1.5^2
Distance = (1/2) x 2 x 2.25
Distance = 2.25m
So the car rolls a distance of 2.25 meters in 1.5 seconds.
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A boat attempts to cross a river going 12.0 mi/hr from the South bank travelling in a Northward direction. The river flows West at 5.0 mi/hr. What is the actual velocity of the boat? The answer should be in magnitude-direction form.
The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The actual velocity of the boat = √(12.0²+5.0²) mi/hr = 13.0 mi/hr.
The direction of the velocity of the boat w.r.t south bank = tan⁻¹(12/5) = 67.38⁰.
Hence, The actual velocity of the boat is 13.0 mi/hr at an angle 67.38° north-west respect to south bank.
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VT 101.00 V, T = ?, R₁ = ?
V₁?, I₁=?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3- 37.00 V, 13= ?,
R3= 12.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the voltage drop at (V₁) which is the voltage drop at resistor one?
Answer:
To solve for the voltage drop at V₁, we can use Ohm's law, which states that the voltage drop across a resistor (V) is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor.
V = I * R
The information given in the question is as follows:
VT = 101.00 V
T = Unknown
R₁ = Unknown
V₁= Unknown
I₁=Unknown
R₂= Unknown
V₂= 33.00 V
I₂ = 12.00 Amperes
R₂ = Unknown
V₃ = 37.00 V
I₃ = 13.00 Amperes
R₃ = 12.00 Ohms
The first step is to calculate the current flowing through the circuit by using the formula Power= Voltage * Current
P = VT
I = P/VT = 101/101 = 1 Amperes
Now we can use Ohm's Law to find the voltage drop across R1:
V₁ = I * R₁ = 1 * R₁
To find the resistance of R1, we can use the formula:
T = V₁ + V₂ + V₃
R₁ = (T - V₂ - V₃) / I
Substituting the values,
101 = V₁ + 33 + 37
V₁ = (101 - 33 - 37) = 31 Volts
So, the voltage drop at V₁, which is the voltage drop at resistor one, is 31 Volts.
Explanation: