Answer:
56.18 grams because you have to round it off
The break up of the supercontinent ____________________ and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
The break up of the supercontinent Rodinia and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
Rodinia was a supercontinent that assembled 1.1–0.9 billion years ago and broke up 750–633 million years ago. The extreme cooling of the global climate around 717–635 million years ago (the so-called Snowball Earth of the Cryogenian period) and the rapid evolution of primitive life are thought to have been triggered by the breaking up of Rodinia
The results revealed the breakup of Rodinia occurred over the same geological time period as carbon dioxide declined and temperatures fell. That, Meert said, pointed to Rodinia's breakup as the cause of Snowball Earth
The break-up of a supercontinent may have caused a 'Snowball Earth'. The Earth might have been sent into an ice age by the break-up of a supercontinent 750 million years ago, creating a global snowball. The break-up probably caused an increase in rainfall and weathering of rock
Just as shattering a rock into pieces increases its exposed surface area, so breaking up the supercontinent increased the amount of land exposed to the elements and resulted in a more active hydrological cycle
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Block 2 has four times the mass of Block 1. Assume a frictionless pulley and that both the rope and pulley are massless. Use g=9.8 m/s2.
Calculate the magnitude of acceleration of the blocks.
The magnitude of acceleration of the block is 5.88 m/s²
Block and tackle system of pulleysPulley are often used in construction sites to raise or lower heavy load. Pulley system is one of the most widely used type of machine. and Block and tackle system of pulleys is the practical system of pulleys in which one or more pulleys are mounted on the same axle, with one continuous rope passing all round the pulleys.
Given that Block 2 has four times the mass of Block 1. Assume a frictionless pulley and that both the rope and pulley are massless and g = 9.8 m/s2.
That means M2 = 4M1
The acceleration will be toward the M1
To calculate the magnitude of acceleration of the blocks, we will consider the following
T - [tex]m_{1}[/tex]g = [tex]m_{1}[/tex]a ...... (1)
T - [tex]m_{2}[/tex]g = -[tex]m_{2}[/tex]a ..... (2)
Where
T = tension in the rope which is the same g = acceleration due to gravity[tex]m_{1}[/tex] = mass of the block 1[tex]m_{2}[/tex] = mass of the bloc 2a = accelerationMinus equation 2 from equation 1
( [tex]m_{1}[/tex] + [tex]m_{2}[/tex] )a = ( [tex]m_{2}[/tex] - [tex]m_{1}[/tex])g
But [tex]m_{2}[/tex] = 4[tex]m_{1}[/tex]
Substitute in the equation above.
([tex]m_{1}[/tex] + 4[tex]m_{1}[/tex])a = (4[tex]m_{1}[/tex] - [tex]m_{1}[/tex])g
5[tex]m_{1}[/tex]a = 3[tex]m_{1}[/tex]g
[tex]m_{1}[/tex] will cancel out
5a = 3 x 9.8
a = 29.4/5
a = 5.88 m/s²
Therefore, the magnitude of acceleration of the block is 5.88 m/s²
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What expression gives the wavelength of the third harmonic for a 1.5 m pipe that is closed at one end?
The expression that gives the wavelength of the third harmonic for a 1.5 m pipe that is closed at one end is,
λ = (4/3)*L
where, λ represents the wavelength and L represents Length of the pipe.
What is a wave?The distance between sound wave points or waves crests that follow one another is known as wave.What are a crest?The crest of a wave refers to its highest surface area.What is a trough?The trough refers to a wave's lowest surface area.
Basic properties of waves include:wavelength - the distance between successive crests is said to be known as wavelength.
frequency - number of vibrations per second is considered to be frequency.
time period - the time taken by a complete cycle of the wave to pass a point is defined as time period.
speed - the rate at which an object covers distance can be defined as speed.
amplitude - the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position is known as amplitude.
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This is 25 points!!!
Although geothermal power is renewable and widely accessible due to geothermal energy being present all over the Earth, it is the least used type of power.
Only a few countries produce more than 15% of their total electricity from geothermal power; these countries include Iceland, El Salvador, New Zealand, the Philippines, and Kenya.
Why do you think those five countries use so much more l geothermal power? How could where they are located influence their use of geothermal power?
Answer in 3-5 complete sentences please.
Answer:
Geothermal energy is heat that is generated within the Earth. It is a renewable resource that can be harvested for human use.
the location of the following countries are very near to sea level giving them easy access to the energy.
This is what I think is the answer.
pls tell me if any mistakes..
I hope it was helpful..
What is the half-life of an isotope if 125 g of a 500 g sample of the isotope remains after 3.0 years?
Answer:
125 / 500 = 1/4 of the sample left after 3.0 yrs
1/2 * 1/2 = 1/4 sample has decayed thru 2 half-lives
2 * HL = 3
1 Half-Life = 1.5 yrs
Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same. (hint: look back in the lesson under the section title ""resistance"")
The light bulb would glow brighter.
What is Resistance?
a force that works against a body's direction of motion and seeks to stop or slow down motion, such as friction. a measure of how much a material prevents an electric current from flowing as a result of a voltage.
What is the law of resistance?
Resistance and Ohm's Law. According to Ohm's law, the resistance of the circuit and the current or energy travelling through the resistance are both exactly proportional to the voltage or potential difference between two places.
The current would grow since it is exactly proportionate to the voltage, increasing the light bulb's brilliance, or simply making it brighter.
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Certain car can accelerate from rest to the speed v in t seconds. if the power output of the car remains constant, (a) how long does it take for the car to accelerate from v to 2v? (b) how fast is the car moving at 2t seconds after starting
(a) time taken for the car to accelerate from v to 2v = t = [tex]\frac{2V-V}{a}[/tex]
(b) velocity of the car moving at 2t seconds = ΔV = 2at
(a) we know that,
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]
where, [tex]V_{F}[/tex] is the final velocity
[tex]V_{0}[/tex] is the initial velocity
a = acceleration
t = time
Time taken to accelerate from V to 2V:
t = [tex]\frac{2V-V}{a}[/tex]
(b) We know that,
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]
where, [tex]V_{F}[/tex] is the final velocity
[tex]V_{0}[/tex] is the initial velocity
a = acceleration
t = time
how fast is the car moving at 2t seconds after starting,
we can represent [tex]V_{F}[/tex] - [tex]V_{0}[/tex] = ΔV
at time = t= 2t, it becomes
a=[tex]\frac{V_{F}-V_{0} }{t}[/tex] = a = ΔV/2t
t= ΔV/2a
ΔV = 2at
What is acceleration?Rate of change of velocity with time, both in terms of speed and direction is known as acceleration.
What is speed?the rate at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.To learn more about acceleration visit:
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Why does the resistance of a conductor rise with temperature?
The resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.
Why does the resistance of a conductor rise with temperature?
When electrons move through a conductor, it collide with atoms, electrons or other substances. These collisions cause resistance which leads to generate heat. Heating the metal conductor leads to more vibration of an atoms which in turn makes it more difficult for the electrons to flow through a conductor that leads to increasing resistance.
So we can conclude that the resistance of a conductor rise with temperature because high temperature cause vibration which make difficult the flow of electron.
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Open the resistance in a wire simulation, adjust only the length of the resistor, what happens to resistor?
If we increase the length of the resistor, resistance will also increase and vice-versa.
It is given that in a wire simulation, we have to adjust only the length of the resistor.
It required to find the effect on resistor when adjust only the length of the resistor.
What happens to resistor when adjust only the length of the resistor?As we know that the length is directly proportional to the resistance of the wire that means is we increase the size or length of the wire then it also increase the resistance present in the wire. On the other hand if we decrease the length of the wire, it will decrease the resistance. This can be represented as:
Resistance = resistivity × length/area
This is also because there is more collision of the flowing electrons in the wire to the metal ions present there.
Thus if we increase the length of the resistor, resistance will also increase and vice-versa.
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Ice at 0. 0∘c has a density of 917 kg/m3. a 3. 00 cm3 ice cube is gently released inside a small container filled with oil and is observed to be neutrally buoyant. what is the density of the oil, rhooil?
The density of the oil is 917kg/ m³.
An object is said to be naturally buoyant when ithas the tendency to float in a fluid.
from the law of floating when a body float in a liquid,the weight of the liquid displaced by its immersed part is equal to the total weight of body.
That is
weight (w)=upthrust (u)
w=u
therefore
u=Dvg
where, D= density of the ice
v= volume of ice
g= acceleration due to gravity
from the question
given:
D = 917kg/m {}^{3} [/tex]
v = 3.00cm {}^{3} [/tex]
g = 9.8m/s {}^{2} [/tex]
substitute these values in above equation
u = 917(3 \times 10 {}^{ - 6} )(9.8)[/tex]
u=0.027N
but,
upthrust= weight of oil displaced.And the ice will displaced an amount of oil,equal to its own weight.
therefore,
density of oil = u/gv = (0.027)/3 \times 10 {}^{ - 6)} (9.8)[/tex]
density of oil = 917kg/m {}^{3} [/tex]
hence the density of the oil is 917kg/m {}^{3} [/tex]
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Doctors once believed that illness was caused by foul air and could not be transmitted from one person to another. now, doctors know that single-celled bacteria and even smaller viruses cause illnesses and can be transmitted from one person to another. how did the advent of the microscope most likely affect the foul-air theory? it supported the theory of foul air causing illness and helped the theory become a law. it provided evidence for other causes of illness, but scientists did not change the theory. it allowed scientists to change the theory before any new information was collected. it allowed scientists to see small organisms in sick individuals and change the theory.
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What is the recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage?
The recommended range from which a temperature should be selected and maintained constantly to achieve targeted temperature manage is 32ºC-36ºC.
In most centers, the patient is actively cooled by using an induced hypothermia protocol for 24 hours to a goal temperature of 32ºC-36ºC. The goal is to achieve the target temperature as quickly as possible. In most cases, this can be achieved within 3-4 hours of initiating cooling.
Targeted temperature management (TTM), previously known as mild therapeutic hypothermia, in selected patients surviving out-of-hospital sudden cardiac arrest (OHCA) can significantly improve rates of long-term neurologically intact survival, [1] and it may prove to be one of the most important clinical advancements in the science of resuscitation.
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A bubble of air of volume 1 cm^{3} is released by a deep-sea diver at a depth where the pressure is 4.0 atmospheres. Assuming its temperature remains constant (T1 = T2), what is its volume just before it reaches the surface where the pressure is 1.0 atmosphere?
The volume of the bubble just before the surface is 4 cm^3.
What is Boyle's law?As per Boyle's law,the volume of a gas at constant temperature varies inversely with the pressure exerted on it.P1V1=P2V2where , P1=pressure at the initial stageV1=volume of the initial stage
P2= pressure at the final stage
V2= volume at the final stage
How to calculate volume of the bubble just before the surface of water ?P1=4atm, V1=1cm^3, P2=1atmV2=P1V1/P2=(1×4)/1
=4cm³
Thus , we can conclude that the volume of the bubble just before the surface of water is 4cm³.
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A carnival ride accelerates upwards at 2.5 m/s. what is the apparent weight of a 35 kg child on the ride
The apparent weight of the child is 437.5 N.
Calculation:The weight of a person/object moving up with an acceleration "a" is given by
W = m (g + a)
where,
W = apparent weight
m = mass of the person/object
g = acceleration due to gravity = 10 m/s²
a = acceleration of the object/person
Given,
m = 35 kg
a = 2.5 m/s²
To find,
W =?
Put the value sin the formula,
W = m (g + a)
W = 35 (10 + 2.5)
= 35 (12.5)
= 437.5 N
Therefore, the apparent weight of the child is 437.5 N.
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A laser emits light with a frequency of 4. 75×1014 s−1. What is the wavelength of this radiation, in nm?.
A Final statement or concluding statement
The equation that relates wavelength, frequency, and speed of light is
c=λ × ν
To find wavelength, λ = c / f
λ = wavelength in meters
ν = frequency in Hertz (Hz) or 1s or [tex]s^{-1}[/tex].
= 3 ×[tex]10^{8}[/tex] m/s / 4. 75 × [tex]10^{14}[/tex] [tex]s^{-1}[/tex](Using velocity of light as 3 x 108 m/s)
= [tex]6.3[/tex]×[tex]10^{-7}[/tex]m
= [tex]6.3[/tex] × [tex]10^{2}[/tex] nm
How is wavelength related to radiation?Electromagnetic radiation is an electric and magnetic disturbance that travels at the speed of light through space. It has no mass or charge and travels in packets of radiant energy known as photons or quanta.Radio waves and microwaves, as well as infrared, ultraviolet, gamma, and x-rays, are examples of EM radiation. Electromagnetic radiation moves at a constant speed in the form of a waveform.
The relationship of velocity to wavelength and frequency reveals the wave characteristics of EM radiation.
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Why is there an error between the calculated values of r and the nominal value of r?.
The nominal value is based on experimental results whereas this model is likely based on the ideal gas law, which real gasses don't follow precisely.
What is nominal value?In economics, nominal values guide the unadjusted rate or current price, without taking inflation or other elements into account as opposed to real discounts, where adjustments are made for available price level changes over the period.The nominal price of a guarantee is its stated value, its saving price, or its unadjusted price, without taking into account inflation and other elements. The real value of a guarantee is its market value or a modified price that accounts for price level transitions that have occurred over a period.In economics, the nominal significance is the unadjusted value of an asset without carrying into account deductions and compensations, such as expenses, taxes, and inflation. It is the difference between the real value of an asset, which contemplates deductions and premiums.To learn more about nominal value, refer to:
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Identify the saturation pressure corresponding to 32 degrees fahrenheit for r - 123
Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
To find the answer, we need to know more about the saturation pressure.
What is saturation pressure?The saturation pressure is the pressure at which a vapor is in equilibrium with its liquid (such as steam with water).It is the highest pressure that water vapor can get at a particular temperature.R-123 refrigerant is probably hard to find these days. It was discovered that chlorine-containing refrigerants have the potential to actively harm the Ozone layer if they are released into the atmosphere.The saturation pressure that corresponds to 32 degrees Fahrenheit of R-123 is 20 inches Hg vacuum.Thus, we can conclude that, Hg vacuum at 20 inches is the saturation pressure that corresponds to 32 degrees Fahrenheit of R-123.
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If a closed loop lies partially inside and partially outside a region of changing magnetic field, which is true about calculating the induced electric field along the path?
If a closed loop lies partially inside and partially outside a region of changing magnetic field, to calculate the induced electric field along the path we use only the area within the flux change to calculate the electric field.
Induced Electric Fields:The electrostatic field is conservative and does no net work over a closed path, whereas the induced electric field is nonconservative and does net work in transferring a charge over a closed channel. As a result, whereas the induced field cannot be connected with electric potential, the electrostatic field can.
Faraday's law can be written in terms of the induced electric field as. ∮→E⋅d→l=−dΦmdt. The electrostatic field created by a fixed charge distribution and the electric field caused by a changing magnetic field is very different from one another.
An electric field is created by a fluctuating magnetic flux. The induced emf from Faraday's law is related to the fluctuating magnetic flux and the induced electric field.
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The quartz crystal in a digital watch has a frequency of 32. 8 khz. what is its period of oscillation?
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
Two related parameters are oscillation frequency and period. Actually, they are the opposites of one another. As a result, the following formula can be used to determine the quartz crystal's oscillation period:
Time Period of Oscillation = 1/Oscillation Frequency
where.
Frequency of Oscillation-32.8 KHz
Frequency of Oscillation - 32800 H₂
Therefore
Time Period of Oscillation-1/32800 Hz
Time Period of Oscillation - 3.04 × 10¹.
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The time period of oscillation is 3.04×10
what is time period?
A time period (denoted by 'T'' ) is the time taken for one complete cycle of vibration to pass a given point.[1] As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is 'seconds'.
The related parameters are oscillation frequency and period.They are the opposite of the another.As a result the formula to be used is
frequency=1/time
given:
Frequency of oscillation=32.8khz=32800hz
therefore,
time period of oscillation=1/32800hz
time period of oscillation=3.04×10
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What is the length of a box in which the minimum energy of an electron is 1. 1×10^−18 j ?
The length of a box in which the minimum energy of an electron is 1. 1×[tex]10^{-18}[/tex] j will be 74 * [tex]10^{-10}[/tex] m
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. As you go farther from the nucleus, electrons at higher energy levels have more energy
Energy levels (also called electron shells) are fixed distances from the nucleus of an atom where electrons may be found. Electrons are tiny, negatively charged particles in an atom that move around the positive nucleus at the center. Energy levels are a little like the steps of a staircase.
One electron volt is the energy that an electron gains when it travels through a potential difference of one volt (1 eV = 1.6 x 10-19 Joules). Electrons in a hydrogen atom must be in one of the allowed energy levels. If an electron is in the first energy level, it must have exactly -13.6 eV of energy.
Energy of an electron in nth shell can be calculated as
E (n) = [tex]\frac{n^{2} h^{2} }{8ml^{2} }[/tex]
energy will be minimum in 1st shell
putting n=1
E (n) = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
1.1 * [tex]10^{-18}[/tex] = [tex](1)^{2}[/tex] * [tex](6.63 * 10^{-34}) ^{2}[/tex] / 8 * 9.1 * [tex]10^{-31}[/tex] * [tex]l^{2}[/tex]
length(l) = 74 * [tex]10^{-10}[/tex] m
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What is the wavelength of maximum intensity and the total energy emitted by a celestial object at absolute zero?
Wavelength is Infinity
What is Wavelength?
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is often defined in wireless systems in metres(m), centimetres(cm), or millimetres(mm).
A blackbody never approaches zero, hence the wavelength of the highest intensity that a heavenly object may produce is infinite. As a celestial object's temperature rises, its overall energy output increases quickly.
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When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, where are these x-rays usually coming from?
When one member of a binary star system is a black hole, and astronomers detect flickering x-rays coming from the system, these x-rays usually coming from a disk of material around the black hole (material that has been pulled from the companion star and is falling toward the black hole).
A binary black hole (BBH) is a system consisting of two black holes in close orbit around each other. Like black holes themselves, binary black holes are often divided into stellar binary black holes, formed either as remnants of high-mass binary star systems or by dynamic processes and mutual capture; and binary supermassive black holes, believed to be a result of galactic mergers.
For many years, proving the existence of binary black holes was made difficult because of the nature of black holes themselves and the limited means of detection available.
However, in the event that a pair of black holes were to merge, an immense amount of energy should be given off as gravitational waves, with distinctive waveforms that can be calculated using general relativity.
Therefore, during the late 20th and early 21st century, binary black holes became of great interest scientifically as a potential source of such waves and a means by which gravitational waves could be proven to exist. Binary black hole mergers would be one of the strongest known sources of gravitational waves in the universe, and thus offer a good chance of directly detecting such waves.
As the orbiting black holes give off these waves, the orbit decays, and the orbital period decreases. This stage is called binary black hole inspiral. The black holes will merge once they are close enough. Once merged, the single hole settles down to a stable form, via a stage called ringdown, where any distortion in the shape is dissipated as more gravitational waves. In the final fraction of a second the black holes can reach extremely high velocity, and the gravitational wave amplitude reaches its peak.
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The annual variation in the amount of solar radiation received varies with latitude because the ______.
The annual variation in the amount of solar radiation received varies with latitude because the direction of Earth's tilt changes with respect to the Sun during the year.
How does solar radiation vary with latitude ?
Despite the fact that high latitude regions receive more solar radiation than low latitude regions do, heat is nevertheless transported throughout the planet by the ocean and the atmosphere.
How does the amount of solar radiation received vary on Earth?
As a result of reduced radiation protection, areas closer to the equator typically experience higher levels of solar radiation exposure. However, because to the angle of the sun and the tilt of the Earth's axis, areas farther north or south receive more solar energy.What is the relationship between the annual solar radiation cycle and the annual temperature cycle?
The coldest day of the year occurs after the winter solstice, and the warmest day of the year occurs (on average, so many days) after the summer solstice, because the annual temperature cycle lags the annual radiation cycle.
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If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.
a. true
b. false
If a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy. It is a true statement .
Kinetic energy is the energy that an object possesses due to its motion. It is basically the energy of mass in motion. Kinetic energy can never be negative and it is a scalar quantity i.e. it provides only the magnitude and not the direction.
According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy.
According to the principle of conservation of mechanical energy, The total mechanical energy of a system is conserved i.e., the energy can neither be created nor be destroyed; it can only be internally converted from one form to another if the forces doing work on the system are conservative in nature.
since, potential energy is stored in the form of work done
Work done = Fs cos (theta)
If force always acts perpendicular to an object's direction of motion
theta = 90 °
cos (90 ) = 0
Work done = 0
since , there is no work done , hence kinetic energy will not change
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What is the reactance of a 9. 0×10−2 μf capacitor connected to a 23 kv (rms), 550 hz line?
The Capacitive reactance of the capacitor is 3.22kΩ.
To find the answer, we have to study about the Capacitive reactance.
How to find the Capacitive reactance?It is given that,[tex]C=9*10^{-8}F\\f=550Hz\\[/tex]
Thus, the expression for capacitive reactance will be,[tex]X_c=\frac{1}{2\pi fC}[/tex]
By substituting values, we get,[tex]X_c=\frac{1}{2\pi *550*9*10^{-8}} \\\\X_c=3.22*10^3Ohm.[/tex]
Thus, we can conclude that, the Capacitive reactance of the capacitor is 3.22kΩ.
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The human body has an average density of 979 kg/m3 , what fraction of a person is submerged when floating gently in fresh water?
A person is submerged of about 97.9%.
The average density of the human body is given as 979 kg/ m³.
Define Law of floatation.Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.
As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.
Weight of the body floating = Weight of the body immersed in fluid
Law of floatation = Density of the floating object / density of fluid
As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.
= (979 kg/ m³) / ( 1000 kg/ m³)
= 97.9 %
A person is submerged when floating gently in fresh water about 97.9%.
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Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?.
Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?
It's possible that our understanding of how gravity behaves on galaxy-scales is inaccurate or lacking in some way.
What is dark matter in space?We surmise that dark matter exists based on its gravitational pull on visible matter. In order to rule out the idea that our comprehension of gravity is leading us to incorrectly infer the presence of dark matter, the majority of scientists believe it to be extremely unlikely that there is a problem with our knowledge of gravity. As long as it is too faint for us to perceive beyond the halo of our galaxy, astronomers regard dark matter to be "dark." If a human were to be hurled into the halo of our galaxy, they might end up being dark matter. An estimated 85% of the universe's mass is assumed to be made up of dark matter, a hypothetical type of stuff. Dark matter is so-called because it doesn't seem to interact with the electromagnetic field, which means it doesn't emit electromagnetic radiation like light or absorb electromagnetic radiation like it does. As a result, it is hard to detect. Numerous astrophysical observations support the existence of dark matter, including gravitational effects that cannot be described by the gravity theories currently in use without the presence of more matter than can be observed. Because of this, the majority of scientists believe that dark matter is prevalent in the universe and has greatly influenced its structure and evolution.
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The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. What is the magnitude and direction of the electric field?
The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. The magnitude and direction of the electric field will be 400 V/m directed parallel to the +x-axis
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
The relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”
Electric field = - d V / dx
-(-2000-400) = [tex]\int\ {E} \, dx[/tex]
2400 = E (8-2)
2400 V = E (6)
E = 400 V/m
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A ball is gently dropped from a height of 20 m onto a hard surface where it make an elas
1) Show that the speed of the ball just before hits the ground is 20m/s (g=10m/s2)
2) Why isn’t the accelera
3) Use axes below to sketch a graph of how the velocity of the ball varies with
several bounces
Answer:
20 m/s
Explanation:
Use the position/displacement formula to find out how long the ball is in the air:
(distance) = (initial velocity)*(time) + (1/2)*(acceleration)*(time)^2
20 = 0*t + 1/2*10*t^2
t^2 = 4
t = 2 seconds
Use the velocity formula:
(final velocity) = (initial velocity) + (acceleration)*(time)
Vf = 0 + 10*2
Vf = 20 m/s
Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. what is the component form of the vector u v?
-3.90, 1.83 are the component form of the vector u v.
What is magnitude of vector?
The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.The component form of a vector is the ordered pair that describes the changes in the x- and y-values. In the graph above x1=0, y1=0 and x2=2, y2=5. The ordered pair that describes the changes is (x²- x, y²- y), in our example (2-0, 5-0) or (2,5).We have vector u = 5 ( cos 75 i + sin 75 j )
= 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j )
= -5.19 i - 3 j
Now we add both component
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j)
= -3.90 i + 1.83 j
= < -3.90, 1.83>
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The correct option is (D). < -3.90, 1.83>
Vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
What are vectors?
Quantities with both a magnitude and a direction are called vectors. A vector can be used to represent a vehicle's motion in the real world. 65 mph is the direction of travel for the car. In this illustration, the vector's magnitude is represented by the car's 65 mph speed and its direction by the northwest. In the study of physics, the use of vectors to depict how forces operate on objects is crucial.Given, vector u = 5 ( cos 75 i + sin 75 j ) = 1.294 i + 4.830 j
Vector v = 6 ( cos 210 i + sin 210 j ) = -5.19 i - 3 j
u + v = 1.294 i + 4.830 j + (-5.19 i - 3 j) = -3.90 i + 1.83 j
= < -3.90, 1.83>
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