Answer:
The word is "wind".
Explanation:
The sentence would be:
"The sun is also the reason wind exists. The wind is moving air."
Hope this helped !
malia is interested in observing cognitive development in children and wants to design a study that will allow her to observe small changes in how 6 year olds learn to solve problems. she plans to collect data from each child every week for three months
which design is her best choice
To study the small changes in 6 year old child to solve problems, the appropriate method of design is microgentic.
What is microgentic design ?A scientific approach known as microgenetic design, sometimes known as the microgentic method, iterative search studying the same environment to examine change in great detail.
Microgenetic designs offer a detailed examination of the behavior of the system while it is changing, in contrast to cross-sectional and longitudinal designs, which only offer broad strokes of the process of change.
The approach is applicable to any system human or otherwise whose behavior varies over time and where it may be interesting or necessary to investigate the specifics of these changes, even though it is frequently linked with developmental psychology.
This includes adult settings as well. Heinz Werner's description of a "genetic approach" in the early 20th century appears to be when the term "microgenetic" first appeared.
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what are the two ways that spent fuel can be stored?
Answer:
pent fuel can be stored in two ways - either in pools at individual reactor sites or in dry casks at independent spent fuel storage facilities. Pools are large, water-filled containers in which nuclear reactor fuel is stored while it is not being used. Dry casks are heavy steel containers, or canisters, which are designed to store spent nuclear fuel safely and securely. Moving spent fuel to dry casks reduces the risks of a radiation release. [1] Currently, most spent nuclear fuel is safely stored in specially designed pools at individual reactor sites around the country. [2] All spent fuel should be transferred from wet to dry storage within five years of discharge from the reactor core. [3] 400,000 tons of spent nuclear fuel is stored at hundreds of sites across dozens of countries
Explanation:
Answer:
Spent fuel pools and dry cask storage
Explanation:
The spent-fuel-pool approach involves storing spent fuel assemblies in large pools of water that cool the assemblies and provide shielding from the radiation.
The natural abundance of boron-11 is 80.1%. If you have 7,000 boron atoms, how many of them are the boron-11 isotope?
Answer:
If the natural abundance of boron-11 is 80.1%, then the natural abundance of boron-10, the other stable isotope of boron, is 100% - 80.1% = 19.9%.
To determine how many of the 7,000 boron atoms are the boron-11 isotope, we can use the following steps:
Calculate the number of boron-10 atoms:
19.9% x 7,000 = 1,393
Calculate the number of boron-11 atoms:
80.1% x 7,000 = 5,607
Therefore, out of 7,000 boron atoms, 5,607 are the boron-11 isotope.
Explanation:
A body that moves with constant speed while moving in a circle
A. has a resultant torque acting on it
B. undergoes no change in velocity
C. has no work done on it
D. experiences no acceleration
Answer: B
Explanation:
B. undergoes no change in velocity.
The speed of an object that is moving in a circle with constant speed remains constant. This means that the object is not speeding up or slowing down, and therefore it does not experience any change in velocity.
a density glass both contain 44.25g of a liquid at 0°c and 42.02g of a liquid at 50°c.what is the real cubic expansivity of the liquid linear expansivity of glass is 1.0x10^_5k^_1.
The real cubic expansivity of the liquid is 1.98 x 10^-4 K^-1.
Real cubic expansivity calculation.
To find the real cubic expansivity of the liquid, we need to use the formula:
β = (1/V) (dV/dT)
where β is the real cubic expansivity, V is the volume of the liquid, and dV/dT is the rate of change of the volume with respect to temperature. We can use the fact that the two samples have the same volume to eliminate V from the equation.
The change in mass of the liquid between 0°C and 50°C is:
Δm = 44.25 g - 42.02 g = 2.23 g
To convert the change in mass to a change in volume, we need to divide by the density of the liquid:
ρ = m/V
V = m/ρ
We can use the density of the liquid at 0°C to calculate the volume:
V = 2.23 g / (density of liquid at 0°C)
Next, we can use the volume and temperature data to find the rate of change of the volume with respect to temperature:
dV/dT = (V2 - V1) / (T2 - T1)
dV/dT = (V(50°C) - V(0°C)) / (50°C - 0°C)
Finally, we can substitute these values into the formula for β:
β = (1/V) (dV/dT)
β = (1/[(2.23 g) / (density of liquid at 0°C)]) [(V(50°C) - V(0°C)) / (50°C - 0°C)]
Simplifying this expression gives:
β = (density of liquid at 0°C) [(V(50°C) - V(0°C)) / (50°C - 0°C)] / 2.23 g
We can estimate the density of the liquid at 0°C using the mass and volume data:
density of liquid at 0°C = 44.25 g / V(0°C)
Substituting this into the expression for β gives:
β = [(44.25 g / V(0°C))] [(V(50°C) - V(0°C)) / (50°C - 0°C)] / 2.23 g
Simplifying this expression gives:
β = (V(50°C) - V(0°C)) / (50°C - 0°C) / V(0°C) x 44.25/2.23
β = (V(50°C) - V(0°C)) / (50°C x V(0°C)) x 19.8
We can estimate the change in volume using the linear expansivity of the glass:
ΔV = V(50°C) - V(0°C) = V(0°C) α ΔT
ΔV = V(0°C) (1.0 x 10^-5 K^-1) (50°C)
Substituting this into the expression for β gives:
β = [V(0°C) (1.0 x 10^-5 K^-1) (50°C)] / (50°C x V(0°C)) x 19.8
β = 1.0 x 10^-5 K^-1 x 19.8
β = 1.98 x 10^-4 K^-1
Therefore, the real cubic expansivity of the liquid is 1.98 x 10^-4 K^-1 using linear expansivity.
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what is the difference between contact and non contact forces?
Answer: so contact forces are forces that physically touch the system such as normal forces or friction and air resistance and push forces done by other objects.
Non contact forces are forces such as
gravity and electromagnetism that don’t necessarily seemed to physically touch it..
2.4.5 conservation of energy lab Describe at least one part of the experimental procedure that you thought was essential to getting good results. Did you find that certain steps in the procedure had to be followed carefully in order to get consistent results? If you wanted better results, do you think there is a step that could have been added to the procedure?
This may involve carefully measuring and recording the initial and final energies of the system, controlling for external factors such as friction and air resistance, and using appropriate instruments and equipment with minimal energy loss.
What is Energy?
It is a scalar quantity that can be transferred between objects or converted into different forms, such as kinetic, potential, thermal, or electrical energy. Energy cannot be created or destroyed, but it can be transformed from one form to another. The SI unit of energy is the joule (J), but other units such as calories, electronvolts, or British thermal units (BTU) are also commonly used depending on the context. Energy is a fundamental concept in physics and plays a crucial role in many fields, including mechanics, thermodynamics, chemistry, and astronomy.
It is also important to follow the experimental procedure carefully and consistently to ensure that the results are reproducible and consistent. This may involve controlling for variables such as the angle of release, the height of the release, and the distance traveled by the object.
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After finishing her Physics homework, Julie pulls her 50.0kg body out of the living room chair and climbs the 5.0m high flight of stairs to her bedroom. How much work does Julie do in ascending the stairs?
Answer: 2452.5 Joules
Explanation: The equations we will be using in the problem are Weight=Mass*(Newton's Gravitational constant(9.81m/s^2)) and Work=Force*displacement*cos(the angle between the force and displacement vectors). We won't be needing the cosine part of the work equation because the work and force vectors are parallel so the angle is 0(cos(0)=1).
We are told Julie is 50 kg and she climbs 5 meters I.e. her displacement is 5 meters. We first have to calculate the force acting on Julie so that we can determine what force we will use in the work equation. Weight is a force so we can convert her 50 kg to a weight. We do this by plugging into Weight=Mass*9.81.
Weight=50kg*9.8m/s^2=490.5 Newtons.
Now we know the force that Julie is working against while climbing the stairs. She climbs 5.0m up so her total displacement is 5 meters.
Work=(490.5 N)(5 meters)= 2452.5 Joules
Hope this helps!
For extra practice, figure out how much work Julie was to do if she had been carrying her pet dog in her arms who weighed 32 Kg while climbing 5.0 meters up the stairs.
asap hurry
Part 1
1. Using a graduated cylinder, measure 70 mLof water. Pour this water into a small, empty glass
jar. Dry the graduated cylinder.
2. Remember the old saying: “Do like you ‘oughter’—add the acid to the water.” This means to
add acid to water—never the other way around. Do not add water toacid.
3. Make sure you are working in a well-ventilated area, such as next to an open window. Using
extreme caution, and wearing safety goggles or protective eyeware, protective gloves, and
long sleeves and long pants, measure out 30 mL of the muriatic acid into the graduated
cylinder. Slowly pour this acid into the jar of water. (Add the acid carefully, because heat will be
produced when the two substances mix.)
4. Screw the lid onto the jar and gently swirl the jar to mix the contents fully.
5. Remove the lid and place the galvanized nail into the jar.
6. Loosely cover the jar with the lid (do not screw it on).
7. Allow the reaction in the jar to continue for 20 seconds, recording observations during this
time.
8. Light the wooden splint (toothpick) with the candle and prepare to test for the gas.
Testing and Producing Gases
9. Very carefully, remove the lid from the jar and bring the burning splint to the mouth of the jar.
10. Be prepared for a reaction. Record your observations.
11. Place the lid back on the jar and allow more gas to accumulate.
12. Complete Steps 7, 8, and 9 again to repeat this trial. After your second trial, rinse and dry the
graduated cylinder to prepare for Part 2.
Part 2
13. Measure 50 mL of hydrogen peroxide using the graduated cylinder. Pour thehydrogen
peroxide into the second jar.
14. Add approximately 1 teaspoon of yeast to the hydrogen peroxide. Loosely cover the jar with
the lid (do not screw it on). Record your observations.
15. Light the wooden splint (toothpick) with the candle and allow the toothpick to burn for a few
seconds.
16. Extinguish the flame by blowing on it so that the wood is just glowing.
17. Remove the lid on the jar and hold the glowing splint to the mouth of the jar. Record your
observations.
18. Place the lid back on the jar and allow more gas to accumulate.
19. Repeat Steps 14 and 15 to complete a second trial
2 of 5
Science | Testing and Producing Gases
Name Date
• Dispose of nail by taking it out of the acid solution (with gloves on), wrapping it in a paper
towel, and putting it into the trash.
• Dispose of liquid substances by pouring them down a drain. Run plenty of cold water while you
pour these substances down the drain and for several minutes afterward.
• Do not breathe in fumes. Make sure the area you are working in is wellventilated.
• Be sure toothpicks are completely extinguished in water before disposing of them.
Data and Observations
Observations for Part 1
Trial 1:
Trial 2:
Observations for Part 2
Trial 1:
Trial 2:
3 of 5
Science | Testing and Producing Gases
1. Do you think a chemical reaction took place in Part 1 when you added the galvanized nail to
the acid and water, and in Part 2 when the yeast was added to the hydrogen peroxide? Explain
your answer. (3 points)
2. Did the same result occur in both parts when you held up a lighted splint to the jar’s mouth?
What can you conclude from this about the identity of the gas(es) in Parts 1 and 2? (3
points)
3. In both parts of the activity, you conducted a second trial without having to remix the
chemicals. How was this possible? (3 points)
4. In 1937, a large passenger airship called the Hindenburg mysteriously caught fire. Because
the airship was filled with hydrogen gas, it immediately exploded once the fire reached the gas.
Given this information, do you think one of the reactions above may have produced hydrogen?
Use your data to explain your answer. (3 points)
4 of 5
Science | Testing and Producing Gases
Answer:
Yes, a chemical reaction took place in Part 1 when the galvanized nail was added to the acid and water, and in Part 2 when the yeast was added to the hydrogen peroxide. This is evidenced by the observations recorded in the trials, such as the production of bubbles and the release of gas.Yes, the same result occurred in both parts when a lighted splint was held up to the jar's mouth. This indicates that the gas produced in both parts was flammable and therefore likely to be hydrogen.In both parts of the activity, a second trial was conducted without having to remix the chemicals because the reactions continued to produce gas even after the first trial, allowing for further testing.Yes, one of the reactions above may have produced hydrogen. Part 2 specifically involved the addition of yeast to hydrogen peroxide, which likely produced oxygen gas and water as byproducts. This means that the gas produced in Part 2 was likely hydrogen gas, as hydrogen peroxide is composed of hydrogen and oxygen. The flammability of the gas produced in both parts also supports the possibility that it was hydrogen.Explanation:
Sorry if I made some mistakes, I completed it as fast as I could.
what total capacitances can you make by connecting a 5.04 µf and 8.02 µf capacitor together?
The capacitor can be used in various home appliances like ceiling fan, electric motor, etc. The total capacitance by connecting a 5.04 µf and 8.02 µf capacitor together in parallel is 13.06 µf.
What is a capacitor?A two terminal electrical device which is used to store energy in the form of an electric charge is defined as the capacitor. It contains two electrical conductors separated by a distance.
When two capacitors are connected in parallel, then the total capacitance is given as:
C total = C₁ + C₂
C total = 5.04 µf + 8.02 µf
C total = 13.06 µf
Thus the total capacitance is 13.06 µf.
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A rigid board is initially at rest on a frozen pond. Friction between the ice and the board is negligible. An ice skater moving with a constant linear velocity approaches the board and jumps onto the board. Which statement below is true?
A. Linear momentum is converted to angular momentum.
B. Kinetic energy is converted to angular momentum.
C. Rotational kinetic energy is conserved.
D. Linear momentum and angular momentum are both conserved.
Answer:
D. Linear momentum and angular momentum are both conserved.
When the skater jumps onto the board, he/she transfers linear momentum to the board, causing it to start moving with a velocity in the same direction as the skater. However, since the board was at rest initially, its total linear momentum changes from zero to a non-zero value. This conservation of linear momentum can be expressed as:
m(skater) x v(skater) = (m(board) + m(skater)) x v(final)
where m(skater) and v(skater) are the mass and velocity of the skater before the jump, m(board) is the mass of the board, and v(final) is the velocity of the skater and board after the jump.
At the same time, since there is no external torque acting on the board-skater system, the conservation of angular momentum can be expressed as:
I x w(initial) = (I(skater) + I(board)) x w(final)
where I is the moment of inertia of the board-skater system, w(initial) is the initial angular velocity (zero), I(skater) is the moment of inertia of the skater, I(board) is the moment of inertia of the board, and w(final) is the final angular velocity of the system.
Therefore, both linear momentum and angular momentum are conserved in this situation. The conversion of kinetic energy to angular momentum (option B) is not relevant in this case since there is no external torque acting on the system. The conservation of rotational kinetic energy (option C) is also not applicable since the system does not rotate before or after the jump.
Explanation:
An astronomer wants to calculate the magnitude of gravitational acceleration at the surface of a newly discovered exoplanet (an exoplanet is a planet orbiting a star other than our sun). The astronomer has estimated the mass of the exoplanet to be 1.01 times the mass of Earth, and the radius of the planet to be 0.99 times the radius of Earth.
The magnitude of gravitational acceleration at the surface of a newly discovered exoplanet, having the mass to be 1.01 times the mass of Earth, and the radius of the planet to be 0.99 times the radius of Earth is 10.06 m/s².
What is gravitational acceleration?The acceleration that an object experiences when gravity is the only force acting on it is known as gravitational acceleration.
In an empty space, all bodies accelerate at the same rate, regardless of their masses or compositions. This means that any two objects falling from the same height would always hit the ground at the same time if there was no air friction.
Depending on altitude, latitude, and longitude, this free-fall acceleration can range from 9.764 to 9.834 m/s² over the surface of the Earth. However, the accepted standard value is 9.80665 m/s². Gravity anomalies are the regions where this value dramatically varies.
According to the formula,
g = [tex]\frac{GM}{R^{2} }[/tex]
where,
g is gravitational acceleration
G is gravitational constant,
M is mass of planet and,
R is the radius of the planet.
G = 6.67 × 10⁻¹¹
M = 1.01 × 6 × 10²⁴ kg
R = 0.99 × 6.4 × 10⁶ m
substituting the values and solving for g,
g = 10.06 m/s²
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A young ice skater with mass 40.0 kg
has fallen and is sliding on the frictionless ice of a skating rink with a speed of 16.0 m/s
.
A) What is the magnitude of her linear momentum when she has this speed?
B) What is her kinetic energy?
C) What constant net horizontal force must be applied to the skater to bring her to rest in 4.00 s?
The skater's linear momentum has a value of 640 kg/m/s. Kinetic energy of the skater is 5120 J. The skater needs to be subjected to a steady net horizontal force of 160 N in order to come to rest in 4.00 seconds.
What is a momentum's magnitude?The sum of the mass and the instantaneous speed determines the size of the momentum.
The following equations can be used to calculate the skater's linear momentum:
p = mv
p = (40.0 kg)(16.0 m/s) = 640 kg·m/s
As a result, the skater's linear momentum is 640 kg/m/s in magnitude.
B) The skater's kinetic energy is given by:
K = (1/2)mv^2
Substituting the given values, we get:
K = (1/2)(40.0 kg)(16.0 m/s)^2
= 5120 J
Therefore, the skater's kinetic energy is 5120 J.
C) We need to provide a steady net horizontal force that is opposite in direction and of similar size to the skater's starting momentum in order to bring the skater to rest in 4.00 seconds. Applying the average force equation:
F = Δp/Δt
F = (-640 kg·m/s)/(4.00 s) = -160 N
In order to bring the skater to rest in 4.00 seconds, a steady net horizontal force of 160 N must be delivered to her in the opposite direction of her beginning motion.
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Need help right now 20 points!!
3. You use a force of 190 N to walk your bike of mass 22 kg over a distance of 2.0 m. The bike
was initially not moving. How fast is it going while you are pushing? {Fd=AKE}
(Initial velocity = 0)
10. A frequency of the first harmonic is 587 Hz (pitch of D5) is sounded out by a vibrating guitar
string. The speed of the wave is 600 m/sec. Find the length of the string.
Give an example which demonstrates sound travelling through:
a) A gas
b) A liquid
c) A solid
Answer:
in image
Explanation:
hope it helped you
how long would it take a bolt dropped from a 1.3 m ladder to reach the ground?
a bolt is dropped from a 1.3-meter ladder,the long will it take it to reach the ground is Ladder length: 4.27 m =2.14 meters away.
How do meters work?The metric system's and also the International System of Units' primary unit of length is the metre (m), also spelt as meter (SI). The British Imperial us And the Customary systems both convert it to a measurement of roughly 39.37 inches.
How many meters are there in a foot?Approximately 3 feet, 3 inches are equal to one meter, which is the common metric unit. Therefore, a meter is a unit of measurement in the metric system. One meter long things include, but are not limited to, guitars, baseball bats, or yardsticks. In competitions like running and swimming, meters are also employed to gauge distances.
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All elements that found in group or column 12 they have _______________ electrons in last shell
For 56 points: We design an experiment to see what we can use to cover a disposable coffee cup in order to keep the liquid inside the cup warm for a longer period of time. After completing research, we decide to wrap one cup in a wool sock and compare that to the original cup with no additional insulation. In this example, the wool sock is
The experiment's manipulable variable, making it the independent variable. The outcome being measured and contrasted between the two situations makes the temperature of the liquid in the cup the dependent variable (with and without the wool sock).
What is Temperature?
Temperature is a measure of the amount of heat energy in a system or object. More specifically, it is a measure of the average kinetic energy of the particles in a substance, such as atoms or molecules.
We must first make sure that both cups begin the experiment with the same volume of hot liquid at the same temperature. The liquid temperature in each cup could then be measured at certain intervals (e.g., every 15 minutes) for a predetermined amount of time (e.g., an hour), and the results could be recorded. To more precisely gauge the liquid's temperature, we might use use a thermometer.
We would compare the liquid's average temperature in each cup over the time we observed after the experiment. We may conclude that the wool sock was successful in maintaining the liquid at room temperature if the cup with the wool sock maintained a greater average temperature than the original cup.
It's vital to keep in mind that we should repeat the experiment several times to make sure that our results are consistent and not the result of chance and to increase the experiment's validity and reliability. Also, we ought to use a bigger sample size and account for any additional factors that can influence the liquid's temperature, such as the environment's temperature or the liquid's initial temperature.
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A velocity vs. time graph is shown.
Velocity (m/s)
20
16
12
8
4
0
0
Velocity vs Time
1
2
3
Time (s)
4
5
What is the acceleration of the object?
0 m/s²
* 0.25 m/s²2
4 m/s²
8 m/s²
The acceleration of the object is - 4 m/s².
What is the acceleration of an object?
The acceleration of an object is the measure of change of velocity with change in time of motion.
Mathematically, the formula for acceleration is given as;
a = Δv / Δt
a = ( v₂ - v₁ ) / ( t₂ - t₁ )
where;
v₂ is the final velocityv₁ is the initial velocityt₂ is the final time of motiont₁ is the initial timeFrom the data given, we have;
velocity (m/s) time ( s )
20 1
16 2
12 3
8 4
4 5
a = ( 16 - 20 ) / ( 2 - 1 )
a = - 4 m/s²
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URGENT HELP NEEDED!!!
Two balls are rolling in the positive x-direction. Ball A has a mass of 1 kg, and rolls with velocity vA=4 m/s. Ball B has a mass of 2 kg, and rolls with velocity vB=3 m/s. If those balls were to collide, which of the following outcomes would conserve momentum?
vA=6 m/s, vB=2 m/s
vA=3 m/s, vB=4 m/s
vA=3.5 m/s, vB=3.5 m/s
vA=−2 m/s, vB=6 m/s
vA=10 m/s, vB=0 m/s
vA=−4 m/s, vB=−3 m/s
Answer:
Let's check each option to see if it conserves momentum:
Option 1: p_after = 1 kg * 6 m/s + 2 kg * 2 m/s = 10 kg m/s (conserves momentum)
Option 2: p_after = 1 kg * 3 m/s + 2 kg * 4 m/s = 11 kg m/s (doesn't conserve momentum)
Option 3: p_after = 1 kg * 3.5 m/s + 2 kg * 3.5 m/s = 10.5 kg m/s (doesn't conserve momentum)
Option 4: p_after = 1 kg * (-2 m/s) + 2 kg * 6 m/s = 10 kg m/s (conserves momentum)
Option 5: p_after = 1 kg * 10 m/s + 2 kg * 0 m/s = 10 kg m/s (conserves momentum)
Option 6: p_after = 1 kg * (-4 m/s) + 2 kg * (-3 m/s) = -10 kg m/s (doesn't conserve momentum)
Therefore, options 1, 4, and 5 conserve momentum.
Explanation:
Lily is moving a ladder to a different spot. She lifts the 2000 newton ladder above her
head at a distance of 8 meters. What are the joules of work being put out?
Pls helpp!!
Answer:
To calculate the work being done by Lily, we need to use the formula:
Work = Force x Distance x cos(theta)
where:
Force = 2000 N (the force required to lift the ladder)
Distance = 8 m (the distance Lily lifts the ladder)
theta = 0 degrees (since Lily is lifting the ladder straight up, the angle between the force and the direction of motion is 0 degrees)
So, the work done by Lily is:
Work = 2000 N x 8 m x cos(0)
Work = 16000 joules
Therefore, the joules of work being put out by Lily when she lifts the 2000 N ladder above her head at a distance of 8 meters is 16000 joules.
Explanation:
If HCl is added to Zn, what would be an expected product?
o Cl₂
o HZn
o ZnCl
o ZnCl₂
The expected product would be zinc chloride (ZnCl2).
What is ZnCl2?Inorganic chemical compounds having the formula ZnCl2 and its hydrates are known as zinc chloride. Nine crystalline forms of zinc chlorides are known; they are colorless or white and very soluble in water. This salt is both hygroscopic and sweet.
Zinc chloride serves as the electrolyte in dry cells. It serves as a condensing agent, a disinfectant, a dehydrator, a wood preservative, and a deodorant.
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35. Motors When the plane of an armature in a motor is perpendicular to the magnetic field, the forces do not exert a torque on the coil. Does this mean that the coil does not rotate? Explain.
Answer:
The coil rotates due to its inertia.
Maximum torque occurs when the plane of the coil is parallel to the magnetic field - consider the directions involved in F = I L B - the resulting force is perpendicular to I and B
What causes the abundance of gold in California?
Midas' Touch
Tectonic Plates
The ocean
Weathering
California has an abundance of gold due to tectonic plate movement. Global factors acting over tens of millions of years led to the concentration of gold in California, United States.
Where does the gold in California originate from?Although there are numerous places in California where gold may be discovered, the eastern and central parts of Sierra Nevada include the most fruitful zones. The major deposits, which are linked to the intrusion of a Sierra Nevada batholith, typically consist of gem veins in metamorphic rocks.
What makes gold so plentiful?Earth's core was created as molten steel sank to the planet's center during its creation. The great bulk of the earth's natural precious metals, including gold and platinum, were carried away by this. In truth, there are sufficient.
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If a cube that has a length, height, and width of 4 cm is broken down into 8 cubes of equal size, what is the surface area of the 8 new cubes?
The surface area of the 8 new cubes would be 96 cm².
What is surface area?Surface area is the total area of the exposed surface of a three-dimensional object, such as a cube, cylinder, or sphere. It is measured in square units, such as square inches, square feet, or square meters. Surface area is an important concept in geometry, trigonometry, and calculus. It is used in many areas of science, such as chemistry, physics, and engineering. Surface area is also important in everyday life, from home construction and remodeling to sports and recreation. For example, it is used to calculate the size of an area needed to paint a room, the amount of material needed to cover a swimming pool, or the dimensions of a soccer field.
This is because the surface area of a cube is equal to 6 times the length of one side of the cube squared. In this example, the length of one side of the 8 cubes is equal to 4 cm divided by 2 (since the cube was broken down into 8 cubes), which is equal to 2 cm. Therefore, the surface area of each of the 8 cubes would be 6 times 2 cm squared, which is equal to 12 cm².and the total surface area of the 8 cubes would be 12 cm^2 multiplied by 8, which is equal to 96 cm².
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Two resistors of resistances 3Ω and 6Ω are connected in parallel across a battery having voltage of 12V. Determine (a) the total circuit resistance and (b) the current flowing in the 3 resistor
1) The total resistance is 2 ohms
The current is 4 A
What is the resistance in parallel?In a parallel circuit, the total resistance (R_total) of the circuit is less than the resistance of any individual resistor in the circuit. This is because in a parallel circuit, each resistor provides a separate path for current to flow from the power source to the load, and the overall resistance of the circuit is reduced due to the increased number of paths.
For the resistors in parallel;
1/RT = 1/3 + 1/6
Rt = 2 ohms
In the 3 ohm resistor;
Current = 12 V/3 Ohm
= 4 A
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Would the pressure at the bottom of a 3-feet-deep holding tank be different if the tank held motor oil instead of water? Motor oil is less dense than water.
The muffler on a car rusts out and the decibel level of increases from 91 dB to 113 dB. How many times louder is the leaky muffler?
Because of the logarithmic nature of the dB scale, a 10 dB gain in sound in a ten-fold rise in sound pressure; for example, 100 dB is ten times louder than 90 dB, and 110 dB is one hundred times louder than 90 dB.
Why does sound pressure exist?The quantity of air pressure variation that a noise source produces is known as sound pressure. Sound pressure is what we "hear" or interpret as loudness. The surface of the drum in our sample moves just a very small distance when it is struck extremely softly, producing minor pressure fluctuations and just a faint sound.
How loud is it, in decibels?Sound levels are measured using decibels (dB). The sound of a running motorcycle engine is around 95 dB louder than normal conversation, which is about 60 dB louder than just a whisper. Long-term exposure to noise levels above 70 dB may cause damage to your hearing. Loud noise that is over 120 dB can instantly harm your ears.
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How is it possible for a tree to survive if the inner part is missing?