1. Heat from when Earth was formed.
2. Frictional Heat, which is caused by heavier core material sinking to the center of the Earth.
3. Heat from the decay of elements that are radioactive.
1 What types of emergency situations could
rescue workers be in that would make it
difficult for them to get energy to their
electrical devices?
Answer:
They include;
1. Earthquakes
2. Floods
3. Hurricane
4. Landslide
5. Tsunami
6. Tornadoes
Explanation:
Emergencies are sudden disasters that occur occasionally and unexpectedly, resulting in massive destruction of lives and property, and which require prompt actions to resolve. When some of these emergency situations occur, the electric grids could fail, resulting in a power outage in the affected town or community. Rescue workers might then find communication difficult because they cannot get energy to their electrical devices.
Examples of emergency situations that could have this type of effect include; Earthquakes, Floods, Hurricane, Landslide, Tsunami, and Tornadoes.
a 23.5 a current flows in a long, straight wire. find the strength of the resulting magnetic field at a distance of 61.5 cm from the wire.
The strength of the resulting magnetic field at a distance of 61.5 cm from the wire is approximately 7.64 × 10^(-6) Tesla.
To find the strength of the resulting magnetic field at a distance of 61.5 cm from the wire, we can use Ampere's Law. Ampere's Law states that the magnetic field (B) around a long, straight wire is directly proportional to the current (I) flowing through the wire.
The formula for the magnetic field strength (B) is given by:
B = (μ₀ * I) / (2π * r)
where μ₀ is the permeability of free space (4π × 10^(-7) T·m/A), I is the current in the wire, and r is the distance from the wire.
Plugging in the values:
B = (4π × 10^(-7) T·m/A * 23.5 A) / (2π * 0.615 m)
B = (9.4 × 10^(-6) T·m) / (1.23 m)
B ≈ 7.64 × 10^(-6) T
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A 1.50-kg mass is acted upon by a force of 16.0 N applied at an angle of 60o above the horizontal. What is the acceleration of the mass? Group of answer choices 4.33 m/s2 5.33 m/s2 6.33 m/s2 7.35 m/s2
If a 1.50-kg mass is acted upon by a force of 16.0 N applied at an angle of 60° above the horizontal. The acceleration of the mass is approximately 5.33 m/s². Therefore, the correct option is (B) 5.33 m/s².
The given force applied at an angle of 60° is 16 N. The mass of the object is 1.50 kg. We need to calculate the acceleration of the mass. The force is resolved into two components. One component is parallel to the surface and another one is perpendicular to the surface.
We can calculate the parallel and perpendicular components as:
F⊥= F sin θ = 16 sin 60° = 13.86 N.
F|| = F cos θ = 16 cos 60° = 8 N.
Here, F⊥ is the perpendicular force and F|| is the parallel force. So, the perpendicular force acting on the mass is 13.86 N and the parallel force acting on the mass is 8 N. Now we can calculate the acceleration of the mass as:
Net force acting on the object, F = F|| = 8 N. Using Newton's second law of motion, we have:
ma = F ⇒ a = F/m.
Using this value of F and m, we get the acceleration as a = 8 N/1.50 kg ≈ 5.33 m/s². Hence, B is the correct option.
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A motor is mounted on springs and dampers such that it is able to vibrate vertically as a single degree-of-freedom system. The motor operates at a variable speed over a speed range such that its imbalance can excite from zero frequency to well above resonance. Which of the following changes will not reduce the maximum vibration response experienced over the whole speed range of the motor? A. Increase the damping coefficient B. Increase the damping ratio C. Increase the stiffness coefficient D. Increase the mass of the motor
Answer:
The following change that will not reduce the maximum vibration response experienced over the whole speed range of the motor is the option D) Increase the mass of the motor.
Let's understand this with the help of some explanation and the formula for the vibration response.
Imbalance in rotating machines is a common issue, which leads to undesirable vibration of the machines. To reduce the vibration caused due to the imbalance of the motor, it is mounted on springs and dampers that help in isolating the vibration frequency generated by the motor.
Now, let's focus on the formula to determine the vibration response of the motor:
Maximum vibration response of the motor = Imbalance x (1/2πf)² x (1 / √(1 - ζ²))where,
Imbalance is the unbalanced force in the motor
f is the frequency of the vibration
ζ is the damping ratio of the system
If we see this formula, the maximum vibration response depends on the value of imbalance and the damping ratio.
Hence, to reduce the maximum vibration response, we should either reduce the value of imbalance or increase the damping ratio. It can also be seen that increasing the mass of the motor, we will increase the inertia of the motor, which will further increase the vibration response of the motor.
Therefore, we cannot increase the mass of the motor to reduce the maximum vibration response.
Hence, the correct option will be D) Increase the mass of the motor.
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simple pendulum has a period of 2 s for small amplitude oscillations. questions 22-23 22. the length of the pendulum is most nearly (a) 1/6 m (b) 1/4 m (c) 1/2 m
The period of a simple pendulum with oscillations of small amplitude is 2 s. inquiries 22 and 23 The pendulum measures 1m in length.
What is a "simple pendulum"?Another mechanical mechanism that oscillates is the basic pendulum. It consists of a point mass "m" suspended from a fixed support by a light, inextensible string of length L, as shown in A gravitational force is what causes the motion to move in a vertical plane.
what were the three simple pendulum laws?basic pendulum laws state. The square root of a simple pendulum's length determines its period. The square root of the acceleration of gravity is inversely correlated with the period of a simple pendulum. The period of a simple pendulum is independent of its mass.
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Why do you think the speed of sound is higher
in solids, than liquids and gases?
Answer:
Explanation:
Particles of a solid are closely packed, and when a solid is hit to produce a sound the kinetic energy present in the solid will cause the particles to vibrate vigorously in the intermolecular spaces in the solid, whereas the paticles of liquids and gases are rather further apart therefore having large intermolecular spaces between particles.
the nova phenomenon, an occasional and sometimes repeated intense brightening of a star by a factor of about 106, is caused by
The Nova phenomenon is caused by a thermonuclear explosion that occurs on the surface of a white dwarf star in a binary system.
The nova phenomenon, an occasional and sometimes repeated intense brightening of a star by a factor of about \(10^6,\) is caused by a thermonuclear explosion on the surface of a white dwarf star in a binary star system.
This occurs when the white dwarf accumulates material, primarily hydrogen, from its companion star. Once the accumulated material reaches a critical pressure and temperature, nuclear fusion rapidly ignites, causing the intense brightening observed in nova.
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Starting from rest, a sprinter reaches his top velocity in 3 seconds. He runs a distance of 24m in 3 seconds. What is his acceleration? (Assume his acceleration is uniform)
Answer:
\(a=5.34\ m/s^2\)
Explanation:
Given that,
Initial velocity of a sprinter, u = 0
He runs a distance of 24m in 3 seconds.
We need to find his acceleration. Let a be his acceleration. Using second equation of kinematics to find it.
\(s=ut+\dfrac{1}{2}at^2\\\\24=0+\dfrac{1}{2}a(3)^2\\\\a=\dfrac{24\times 2}{9}\\\\a=5.34\ m/s^2\)
So, the acceleration of the sprinter is \(5.34\ m/s^2\).
The acceleration of the sprinter from rest to his top speed is 5.33m/s²,
Given the data in the question
Since the sprinter starts from rest,
Initial velocity; \(u = 0\)Time taken; \(t = 3s\)Distance covered; \(s = 24m\)Acceleration; \(a = \ ?\)
To determine the acceleration of the sprinter, we use the second equation of motion:
\(s = ut + \frac{1}{2}at^2\)
Where s is distance covered, u is initial velocity, a is acceleration and t is time.
We substitute our given values into the equation
\(24m = [0 * 3s] + [\frac{1}{2} * a * (3s)^2]\\\\24m = \frac{1}{2} * a * 9s^2\\\\24m = a * 4.5s^2\\\\a = \frac{24m}{4.5s^2} \\\\a = 5.33m/s^2\)
Therefore, the acceleration of the sprinter from rest to his top speed is 5.33m/s²
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What law explains why a collapsing cloud usually forms a protostellar disk around a protostar?.
Answer:
conservation of angular momentum
Explanation:
Quizlet
How would the mass and weight of an object on the moon compare to the mass and weight of the same object on earth?.
The mass would stay the same, but the weight would be only 16.5%.
Explanation:
Mass is the amount of "matter" in an object, which stays the same everywhere. Weight is the force acting on an object by gravity, which changes depending on nearby bodies. In this case, weight on the moon is 16.5% of that on Earth.
Determine the temperature change that occurs when 2750 J of heat is applied to 85.45 g of iron.
The temperature change that occurs when 2750 J of heat is applied to 85.45 g of iron is approximately 71.51°C.
To determine the temperature change that occurs when 2750 J of heat is applied to 85.45 g of iron, you need to use the specific heat capacity formula:
q = mcΔT
where:
q = heat energy (Joules)
m = mass (grams)
c = specific heat capacity (J/g°C)
ΔT = temperature change (°C)
The specific heat capacity of iron is 0.45 J/g°C.
Rearrange the formula to solve for the temperature change (ΔT):
ΔT = q / (mc)
Now, plug in the given values:
ΔT = 2750 J / (85.45 g * 0.45 J/g°C)
ΔT ≈ 71.51°C
The temperature change that occurs when 2750 J of heat is applied to 85.45 g of iron is approximately 71.51°C.
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light goes from flint glass into ethanol. the angle of refraction in the ethanol is 27.2 ◦ , the index of refraction for flint glass is 1.61, and the index of refraction for ethanol is 1.36. what is the angle of incidence in the glass? answer in units of ◦ .
The angle of incidence in the glass is approximately 31.8°.
To find the angle of incidence in the glass, we can use Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction:
n1 * sin(angle of incidence) = n2 * sin(angle of refraction)
In this case, n1 is the index of refraction for flint glass (1.61), n2 is the index of refraction for ethanol (1.36), and the angle of refraction in ethanol is 27.2°.
Plugging in these values into Snell's law, we get:
1.61 * sin(angle of incidence) = 1.36 * sin(27.2°)
To find the angle of incidence, we can rearrange the equation:
sin(angle of incidence) = (1.36 * sin(27.2°)) / 1.61
Now, we can solve for the angle of incidence by taking the inverse sine (or arcsine) of both sides:
angle of incidence = arcsin((1.36 * sin(27.2°)) / 1.61)
Calculating this value, the angle of incidence in the glass is approximately 31.8°.
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30. Suppose an astronomer known for joking around told you she had found a type-o main-sequence star in our milky way galaxy that contained no elements heavier than helium. Would you believe her? why?
No because Even though this includes elements like carbon and oxygen, which are not typically thought of as metals in the traditional sense, astronomers refer to all the chemical elements heavier than hydrogen and helium as "metals".
Where are the majority of elements heavier than helium and hydrogen produced?
These heavy metals are thought to arise in supernova explosions and neutron star mergers. Type Ia supernovas are predicted to be found in old star systems like globular clusters, the core bulges of galaxies, and elliptical galaxies because a white dwarf is involved.
Nearly every element we can see on the Periodic Table was created at some point during a star's life and death. Only lithium, helium, and hydrogen were produced differently, i.e., as a result of the Big Bang explosion.
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________ is granular snow which is beginning to coalesce into glacial ice.
A) An esker B) Ablation C) A cirque D) A tarn E) Neve / Firn
please explain why the answer you selected is correct.
The correct answer is E
"Neve/Firn."
Neve/Firn is granular snow that compacts and recrystallizes over time to form glacial ice.
How does neve/firn form glacial ice?The correct answer is "Neve/Firn."
Neve or firn is the granular snow that accumulates over time and undergoes compaction and recrystallization.
As more snow accumulates on top, the underlying neve/firn becomes more compacted, and the air between the snow grains is forced out.
This process causes the neve/firn to become denser and transform into glacial ice.
An esker is a long, winding ridge of sediment that forms in a glacier's subglacial meltwater channels.Ablation refers to the melting of snow and ice from the surface of a glacier. A cirque is a bowl-shaped depression formed by glacial erosion. A tarn is a small mountain lake that forms in a cirque.Learn more about granular snow
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* Question Completion Status: Moving to another question will save this response. Question 29 Which one of the following statements is not true? (choose all apply) O UV radiation is a type of ionizing
One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.
UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.
UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.
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describe what the effect of increasing the power of a camera would have on the battery life
Answer:
. Cut Down on the LCD
The biggest battery drain in a camera is the LCD – both the rear screen and the electronic viewfinder. This is the big reason why DSLRs almost always have longer battery life specifications than mirrorless cameras – the optical viewfinder lets you skip LCDs altogether.
However, if you use your DSLR in live view, you’ll notice that its battery life slides dramatically. Side by side against a mirrorless camera, there’s actually a good chance it will die first. LCDs just take a lot of power to run.
What does this imply? Quite simply, you should always do what you can to cut down on LCD usage when your battery is running low.
For DSLR users, that means switching to the optical viewfinder. For mirrorless photographers, it means turning off the camera frequently, or setting it so the viewfinder only activates when you hold it to your eye.
And regardless of the camera you use, drastically cut down on the amount of time you spend reviewing photos. Chimping has its place, but not while your battery warning is blinking red.Optimize Your Battery Saver Settings
Most cameras have menu options designed to improve battery life and maximize your shooting time. For example, the “metering timeout” setting lets you select how long you want the camera to wait during inactivity before shutting off its metering system.
Beyond that, a number of cameras today have an “Eco mode” that minimizes power consumption from the camera’s LCD. On the Canon EOS R, for example, Eco mode dims and then turns off the LCD when not in use, improving your battery life significantly – from 370 to 540 shots per charge, according to Canon’s official specifications.
It’s also important to note that mirrorless cameras are generally more efficient using the rear LCD than the electronic viewfinder. In terms of the EOS R again, Canon only rates 350 shots using the EVF, with no Eco mode to improve it. On the Sony side of things, the new A7R IV is rated for 530 shots via the viewfinder and 670 via the rear LCD.
If none of that applies to you, one option at your disposal is always to lower the brightness of your rear LCD. It might make photography a bit trickier in bright conditions, but the payoff is getting the shot rather than missing it completely due to a dead battery.
Other camera settings and extras that harm battery life include:
Image stabilization (both in-body and in-lens)
Popup flash
Bluetooth and WiFi
Most external accessories: GPS dongles, lightning triggers, wireless remote releases, shotgun mics, etc.
Sometimes, these capabilities are essential for your photo, so it’s worth the battery life sacrifice. But if you’re down to your last bar, double check to ensure that you’re not using any of the above settings or accessories without good reason.
what period of oscillation would you expect if the mass of the glider were doubled? assume no damping
If the mass of a glider in an oscillatory system is doubled while assuming no damping, the period of oscillation would remain unchanged.
The period of oscillation (T) is the time taken for one complete cycle of oscillation, which is independent of the mass of the object in simple harmonic motion. The period is determined by other factors such as the stiffness of the system and the restoring force acting on the object.
In a simple harmonic oscillator, the period is given by the equation:
T = 2π * √(m/k)
Where m is the mass of the object and k is the spring constant or the stiffness of the system.
Doubling the mass of the glider would increase the numerator of the equation by a factor of 2, but it would also increase the denominator by the same factor since the spring constant remains constant. As a result, the ratio of mass to stiffness remains the same, and the square root of that ratio (which represents the period) also remains the same.
Therefore, doubling the mass of the glider would not affect the period of oscillation, and it would remain unchanged.
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?course_assessment_id=_192597_ Remaining Time: 23 minutes, 45 seconds. * Question Completion Status: Moving to the next question prevents changes to this answ
The relationship between the speed of light and the refractive index of a medium is essential in understanding the propagation of light in different materials.
The refractive index (n) of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v). Mathematically, n = c/v. When light passes through a medium, it slows down due to interactions with atoms or molecules in the material, resulting in a decrease in speed compared to its velocity in a vacuum. The refractive index determines how much light is bent or refracted as it enters a different medium, impacting phenomena like refraction, reflection, and dispersion. This relationship plays a crucial role in various applications, such as optics, telecommunications, and the study of wave behavior in different media.
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--The complete Question is, What is the relationship between the speed of light and the refractive index of a medium, and how does it affect the propagation of light in different materials?--
You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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4) from the plots, determine the short-circuit current corresponding to the same value of field current which produced the rated open-circuit voltage.
Short circuit current vs field current slope from the curve for If=0.2 and If=0.4.
Slope = (Isc(If=0.4)-Isc(If=0.2))/2
An electric current modern-day is a circulation of charged debris, which include electrons or ions, transferring through an electrical conductor or space. it's miles measured because the net charge of go with the flow of electrical charge thru a floor or into a manipulated volume.
The current flowing in a circuit may be utilized in a diffusion of approaches from producing warmness to inflicting circuits to exchange, or statistics to be stored in an integrated circuit.
There are three simple currents utilized in business healing electric stimulation units: direct cutting-edge, alternating contemporary, and pulsed modern-day.
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a reaction that happens when one substance breaks down into two or more substances
Answer:
decomposition reaction
Explanation:
decomposition reactions occurs when one substance breaks down, or decomposes, into two or more substances
A 2-kg mass is attached to a spring whose constant is 18 N/m, and it arrives at the position
of balance. From
t = 0, an external force equal to
f(t)=2sin2t.
Find the resulting equation of motion.
The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).
What is equation of motion?
The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.
To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.
The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.
In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.
Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).
Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).
Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).
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4. A group of students made a rocket and launched it vertically upwards with velocity
of 27ms^-1. What is the total distance travelled by the
rocket?
[Assume g=10ms^2]
Answer:
Approximately \(72.9\; \rm m\), assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.
Explanation:
Initial velocity of this rocket: \(u = 27\; \rm m\cdot s^{-1}\).
When the rocket is at its maximum height, the velocity of the rocket would be equal to \(0\). That is: \(v = 0\; \rm m \cdot s^{-1}\).
The acceleration of the rocket (because of gravity) is constantly downwards, with a value of \(a = -g = -10\; \rm m \cdot s^{-2}\).
Let \(x\) denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate \(x \!\) to \(u\), \(v\), and \(a\):
\(\displaystyle x = \frac{v^2 - u^2}{2\, a}\).
Apply this equation to find the value of \(x\):
\(\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{\left(0\; \rm m\cdot s^{-1}\right)^{2} - \left(27\; \rm m \cdot s^{-1}\right)^{2}}{2 \times 10\; \rm m \cdot s^{-2}} = 36.45\; \rm m\end{aligned}\).
In other words, the maximum height that this rocket attained would be \(36.45\; \rm m\).
Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of \(2\times 36.45\; \rm m = 72.9\; \rm m\).
Answer Questions below
Answer:
When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.
1) V= 60 volt
Total resistance R = R₁ + R₂
= 20 + 10
= 30 Ω
2) Ohms law states that,
\(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)
3) Voltage around 10 Ω resistor,
V₂ = I R₂
= 2 * 10
= 20 volt
___________________________________________________
4) Total current = 1 A
5) Total voltage = 8 volt
6) Voltage around R₁ is V₁
R₁ = 2 Ω ; I = 1 A
V₁ = IR₁
= 1 * 2
= 2 volt
7) Resistance 2:
Total resistance = R
Total voltage = V = 8 volt
Total current = I = 1 A
\(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)
R = 8 Ω
R₁ + R₂ = 8 Ω
2 + R₂ = 8
R₂ = 8 - 2
R₂ = 6 Ω
8)Voltage around R₂:
\(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)
V₂ = 6 volt
9) Total R = 8 Ω
_________________________________________________
10) Total V = 12 volt
11) Total R = 8 + 8
= 16 Ω
12) Total current I,
\(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)
13) Voltage at each resistor:
V₁ = I*R₁
= 0.75 * 8
= 6 volt
V₂ = I*R₂
= 0.75 * 8
= 6 volt
_______________________________________________________
14) Total R = 40 + 20
= 60 Ω
15) To find V₁, first find total voltage.
I = 2 A ; R = 60 Ω
V = IR
= 2 * 60
= 120 V
V₁ + V₂ =V
V₁ + 80 = 120
V₁ = 120 - 80
V₁ = 40 volt
In a motor the consistent turning of an electromagnetic in the same direction causes electrical energy to be transformed into mechanical energy. What part of the motor cause this motion?
A.The loop of wire
B.The permanent magnets
C.The power source
D.The communicator
Help
Answer:
Explanation:
The communicator
Discuss how directions fields and Euler's method are related. Draw the direction field and use Euler's method to approximate the solution at t = 10 using step size 1, for the initial value problem y'= -3y, y(0) = 5.
By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.
Euler's method is defined as a numerical technique which is used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.
In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.
Step 1:
We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].
Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:
Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25
Step 2:
Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:
Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125
Thus, by using Euler's method with two steps, the approximate value of Y(2) is 2.125.
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The complete question is
Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3
Poisoner's Handbook Video
Questions
1. What are some symptoms of cyanide poisoning?
2. Describe the state of death investigation in the New York Medical Examiner's office/police department prior to the
hiring of Dr. Norris?
3. What famous hospital became the home of Norris lab?
Bellevue Hospital
4. In what ways did the local government officials (mayor, etc.) try to discourage Norris?
5. Morris believed that Prohibition had become a plague? Why did he refer to Prohibition as a "national experiment in
extermination'?
6. Why was the Standard Oil manufacturing plant referred to as the looney bin?
7. What is illuminating gas? Why was it responsible for more deaths in New York than measles and tuberculosis?
8. Radium was used in painting clock and watch faces because it glowed and make the numbers and hands illuminate
at night. These were worn by servicemen during the war. Women worked in the factories painting these time
pieces during war time. They were known as the radium girls. What effects did these girls experience as a results of
their exposure to radium?
9. What mineral does radium mimic? What effect does this have on the body?
10. Describe New York when the depression hit?
11. What did Prohibition promise that did not happen?
12. Who is Mike the Durable? How did he get this nickname?
Dizziness, Headache, Nausea, vomiting, rapid breathing, rapid heart rate, Restlessness and Weakness are the symptoms that shows poisoning of cyanide.
What are some symptoms of cyanide poisoning?Dizziness, Headache, Nausea and vomiting, Rapid breathing, Rapid heart rate, Restlessness and Weakness are the some of the symptoms of cyanide poisoning. Cynaide is a very dangerous and fast acting poison that leads to death if not treated on time.
So we can conclude that all above are the symptoms caused by cyanide poisoning.
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If a spaceship weighs 2500kg and is traveling at the speed of light, how much energy does the ship have?
Answer:
Explanation:
KE = 1/2mv²
speed of light = 299,792,458
≅300,000,000 m/s
KE = 1/2 X 2500kg x 300,000,000²
HEY YALL ANSA DIS PLS !!!
Answer:
A. 8.19 × 10^-11
Explanation:
An object is placed 14.0 cm from a diverging lens. If a virtual image appears 10.0 cm from the lens on the
same side as the object, what is the focal length of the lens?
Use lens formula
1/f=1/v-1/u1/f=1/-10-1/141/f=-7-5/701/f=-12/70f=70/-12f=-5.8cmThe focal length of the lens is 5.8 cm.
To find the focal length, the given values are:
Image distance - 10 cm
Object distance - 14 cm
What is focal length and how it was calculated?The distance between the convex lens or a concave mirror and the focal point of a lens or mirror is called the focal length. This is the parallel line which meet at the distance from the lens or mirror.
1/Focal length = 1/Image distance + 1/Object distance ( cm )
1/f = 1/v-1/u
1/f = 1/-10-1/14
1/f = -7-5/70
1/f = -12/70
f = 70/-12
f = -5.8cm
The focal length of the lens is - 5.8 cm.
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