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The answer to the question is that the acceleration equals 4.9 m/s² and the cord tension is 58.8 N.
What is the physics of tension?The force produced when ever a load is attached at one or both of the end of such a material in such a direction away from the material's cross-section is known as the tension force. It's frequently referred to a tension force as a "pushing" force.
Briefing:(a) Let's use Newton's Second Law for Movement to our example:
[tex]$$\begin{gathered}T-m_1 g=m_1 a, \\T-m_2 g=-m_2 a .\end{gathered}$$[/tex]
Eliminating [tex]$T$[/tex], we get:
[tex]$$\begin{gathered}\left(m_2-m_1\right) g=\left(m_1+m_2\right) a, \\a=\frac{\left(m_2-m_1\right) g}{m_1+m_2}, \\a=\frac{(12 \mathrm{~kg}-4 \mathrm{~kg}) \cdot 9.8 \frac{\mathrm{m}}{\mathrm{s}^2}}{4 \mathrm{~kg}+12 \mathrm{~kg}}=4.9 \frac{\mathrm{m}}{\mathrm{s}^2} .\end{gathered}$$[/tex]
(b) By adding "a" to the first equation, we can get the cord's tension:
[tex]$$T=m_1(a+g)=4 \mathrm{~kg} \cdot\left(4.9 \frac{\mathrm{m}}{\mathrm{s}^2}+9.8 \frac{\mathrm{m}}{\mathrm{s}^2}\right)=58.8 \mathrm{~N}$$[/tex]
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Related Questions
the plane of a loop of wire is perpendicular to a magnetic field. rank, from greatest to least, the magnitudes of the loop's induced emf for each situation. a. the magnetic field strength increases from 0 t to 1 t in 6 s . b. the magnetic field strength increases from 1 t to 4 t in 2 s . c. the magnetic field strength remains at 4 t for 1 min . d. the magnetic field strength decreases from 4 t to 3 t in 4 s . e. the magnetic field strength decreases from 3 t to 0 t in 1 s . rank from greatest to least. to rank items as equivalent, overlap them.
Answers
The plane of a loop of wire is perpendicular to a magnetic field. Rank from greatest to least, the magnitudes of the loop's induced emf for each situation will be E - B - D - A - C.
The number of magnetic flux lines on a unit area passing perpendicular to the given line direction is known as induced magnetic field strength. It is denoted by B.
The magnitude of the induced EMF in the loop of wire is:
∈ = ΔФ/ Δt
The magnetic flux is given by ФB = ΔBA
∈ = ΔBA / Δt
The above expression shows that the induced emf is proportional to the rate of change of the magnetic field.
ΔB/Δt = (1T-0T)/6 = 0.167 T/sec
ΔB/Δt = (4T-1T)/2 = 1.500 T/sec
ΔB/Δt = (4T-4T)/60 = 0 T/sec
ΔB/Δt = (3T-4T)/4 = -0.25 T/sec
ΔB/Δt = (0T-3T)/1 = -3 T/sec
From the above, it is observed that rank, from the greatest to least, the magnitudes of the loop's induced emf for each situation will be
E - B - D - A - C.
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Which of the following is called the windpipe?
a. cilia.
b. veins.
C. arteries.
d. trachea.
Answers
If the voltage, V, in an electric circuit is held constant, then the current, I, is inversely proportional to the resistance, R.
If the voltage, V, in an electric circuit is held constant, then the current, I, is inversely proportional to the resistance, R.
A) If the current is 210 amperes when the resistance is 4 ohms, find the constant of proportionality, K.
B) Find the current when the resistance is 12 ohms
Answers
A) The constant of proportionality, K is 840 B) The current when the resistance is 12 ohms is 70 amperes.
The resistance R and the current I are inversely related.
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
Another significant characteristic in electrical systems that can be measured is resistance. Ohms. are the units. used to measure. resistance. The forces that hinder an electrical current's ability to travel through a conductor are referred to as resistance. All materials have some inherent impedance to the movement of electron current. We haven't figured out how to create conductors without any resistance.
Consider a hose that is partially clogged with sand if we are using our water analogy from the voltage lesson to help visualize resistance. The water in the hose will flow more slowly due to the sand. We can claim that a blocked hose has more water flow resistance than an unconnected hose.
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determine the mass flow rate (lbs/hr) of a liquid with a density of 58.30 pound (lbs/ft3) and a volumetric flow rate of 332 gpm. (round the final answer to nearest whole number.)
Answers
The mass flow rate of the liquid is found to be 152,135 Lbs/hr.
The volume flow rate is given to be 332 gpm.
It means that 332 gallons per minute is flowing.
The density of the liquid is given to be 58 lbs/ft³.
We have to calculate the mass flow rate in lbs/hr.
The amount of liquid flowing in one hour is = 332×60 gallons per hour.
= 19920 gallons per hour.
1 gallon = 0.134 ft³
Converting,
The amount of liquid flowing in one hour is,
= 19920×0.134 ft³/h
= 2609.52 ft³/h.
Now,
Density = Mass/volume
Putting values,
58.30 = Mass/2609.52
Mass flow rate = 152,135.016 lbs/h.
Rounding off to the nearest Whole number.
So, the mass flow rate of the liquid is 152135 lbs/h.
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A person throws a 2.5 lb stone into the air with an initial upward speed of 15 ft/s. Make a free-body diagram for this stone (a) after it is free from the person's hand and is traveling upward, (b) at its highest point, (c) when it is traveling downward, and (d) while it is being thrown upward, but is still in contact with the person's hand
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Answer: In cases a, b, and c, the only force acting on the stone is the force of gravity, mg, straight downward. In case d, the force of gravity also acts straight downward, however, there is an applied force with greater magnitude acting upward.
Note that this explanation assumes that drag (air resistance) is negligible.
A rectangular-shaped swimming pool has dimensions of 15m by 30m and is 3.5m deep. When the pool is filled with freshwater, the average force on the short side of the pool due to the water is?
Answers
Doppler shift or Doppler impact is described because the alternate in frequency of sound wave because of a reflector shifting in the direction of or farfar from an object.
This is which withinside the case of ultrasound is the transducerλ is one wave period, then the quantity of wave lengths N which are found in a two-manner communique direction among the Radar and goal might be same to 2R/λ.
We realize that one wave period λ corresponds to an angular tour of 2π radians.The Doppler shift may be decided after appearing the variety Fourier transform (variety FFT) first. For a goal of interest, we are able to repeat the variety FFT till we've sufficient information to carry out the second one degree of FFT.
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you a generally safe inside an automobile during a lighting storm because: question 7 multiple choice options the car's radio antenna will act as a lightning rod the rubber tires insulate you from the ground metal cars do not become electrically charged the metal car body will carry the lightning current around the passengers inside
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You a generally safe inside an automobile during a lighting storm because the metal car body will carry the lightning current around the passengers inside.
Storm, violent atmospheric disturbance, characterised by low barometric pressure, cloud cowl, precipitation, sturdy winds, and probable lightning and thunder.
Current the flow of electrical charge vendors, typically electrons or electron-deficient atoms. The not unusual image for present day is the uppercase letter I. the same old unit is the ampere, symbolized with the aid of A
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electronic watches keep accurate time using crystal oscillators. inside the watch, there is a tiny block of quartz which vibrates. two opposite faces of the block move alternately toward each other and away from each other. this is a caused by a standing wave in the block. the two opposite faces are at antinodes, and the plane halfway between these two faces is at a node. if the two faces are 7.79 mm apart and the speed of sound in quartz is 3.72 km/s, find the frequency of the vibration.
Answers
The frequency of the variation is 324.04 KHz.
Frequency is the wide variety of occurrences of a repeating event in step with unit time. For clarity, additionally called temporal frequency, which isn't like angular frequency. Frequency is measured in hertz (Hz) and corresponds to one occasion in keeping with 2nd. duration is the reciprocal of frequency, because duration is the time c program languageperiod between activities.
Frequency is an critical parameter utilized in technology and engineering to explain the speed of vibrations and vibrational phenomena inclusive of mechanical vibrations, audio indicators (sound), radio waves, and mild.
calculation :
[tex](\frac{lambda}{4} ) + (\frac{lambda}{4}) = 5.74 mm[/tex]
[tex]lambda = 11.48 m = 11.48*10^{-3} m[/tex]
Now,
[tex]f = \frac{v}{lambda} = \frac{3.72*10^{3} }{11.48*10^{-3} }[/tex]
[tex]= 324041.81 Hz[/tex]
[tex]= 324.04 KHz[/tex]
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x y
2.5 6.25
9.4 88.36
15.6 243.63
19.5 380.25
25.8 665.64
The table lists the values for two parameters, x and y, of an experiment. What is the approximate value of y for x = 4?
Answers
Answer:
Therefore, the approximate value of y for x = 4 is approximately 0.97.
Explanation:
To determine the approximate value of y for x = 4, we need to use the values in the table to find a mathematical relationship between x and y. This can be done by performing a linear regression analysis on the data.A linear regression model is a statistical model that represents the relationship between two variables as a linear equation. The equation of the line is given by:y = mx + bWhere m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).We can use the values in the table to calculate the values of m and b. Using the formula for the slope of a line:m = (Σ(xy) - (Σx)(Σy)/n) / (Σ(x^2) - (Σx)^2/n)Where Σ(xy) is the sum of the products of the x and y values, Σx is the sum of the x values, Σy is the sum of the y values, Σ(x^2) is the sum of the squares of the x values, and n is the number of data points.Plugging in the values from the table, we get:m = (1146.07 - (69.7)(625.99)/5) / (1152.64 - (69.7)^2/5)m = 0.68The y-intercept can be calculated using the formula:b = (Σy - m(Σx)) / nPlugging in the values from the table and the value of m that we just calculated, we get:b = (625.99 - 0.68(69.7)) / 5b = -1.75We can now use the values of m and b to write the equation of the line:y = 0.68x - 1.75To determine the approximate value of y for x = 4, we can substitute this value into the equation:y = 0.68 * 4 - 1.75y = 2.72 - 1.75y = 0.97
a_____n increase in the volume of water produced by thermal expansion creates a corresponding rise in .
Answers
Increase in the volume of water produced by thermal expansion creates a corresponding rise in sea level
What is thermal expansion?
Solids, liquids, and gases all exhibit the phenomena known as thermal expansion. This process involves the expansion of an object or body when heat is applied (temperature). Thermal expansion is the tendency of an object to change its dimensions as a result of heat, including length, density, area, or volume. The substance has more kinetic energy when it is heated.
Three forms of thermal expansion exist:
Linear expansionArea expansionVolume expansionAccording to the question:
Sea level rise is brought on by a larger volume of ocean water as a result of thermal expansion. The amount of water in the oceans is also rising as a result of melting ice and snow on land brought on by rising temperatures. Sea level will only rise as a result of land-based ice and snow melting.
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An object is thrown with a horizontal velocity of 20 m/s from a vertical cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is most nearly...
5 seconds
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An object is thrown with a horizontal velocity of 20 m/s from a vertical cliff that is 125 m above level ground. If air resistance is negligible, the time that it takes the object to fall to the ground from the cliff is nearly Five (5) seconds.
The horizontal velocity is the speed at which an object is traveling in a straight line. It can vary from object to object and can be affected by a number of factors. One of these factors is air resistance. Air resistance is a force that acts in the opposite direction to the motion of an object. It is a result of the air molecules pushing back against the object as it moves through it. The amount of air resistance acting on an object depends on its shape and size, as well as the speed at which it moves.
This means that as an object's horizontal velocity increases, the amount of air resistance acting on it also increases. This can slow down the object's velocity, or even cause it to come to a stop.
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Find the phase difference between these two rays at point B, ignoring any phase shift due to reflection.
Express your answer in terms of ?.
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Image result for Find the phase difference between these two rays at point B, ignoring any phase shift due to reflection.
Two sound waves of the same frequency that are perfectly aligned have a phase difference of 0 and are said to be “in phase.” Two waves that are in phase add to produce a sound wave with an amplitude equal to the sum of the amplitudes of the two waves. This process is called “constructive interference.
Phase difference = 2πλx path difference.
When the phase difference between the waves is an even multiple of (180°), constructive interference happens, but destructive interference happens when the difference is an odd multiple of.
The location of neighboring medium particles vibrating in phase is known as the wavefront. Because of this, there is no phase difference between any two places on a wavefront.
By operating in the X-Y mode, the CRO can measure the phase difference. The pattern that CRO predicts is a diagonal straight line making 45° with the X-axis at a phase shift of = 0° or 360°. The pattern that CRO predicts at a phase shift of = 90° is a clockwise spinning circle.
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the field vectors point into the page. the magnetic field is then turned off. select the correct statement. incorrect the magnitude of the induced electromotive force is always the same no matter how quickly the the magnetic field is turned off. incorrect the induced electromotive force is larger in magnitude if the magnetic field is turned off more slowly. correct: the induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly. incorrect the induced electromotive force is smaller in magnitude if the magnetic field is turned off more quickly.
Answers
The induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly when the vector points into the page.
We know that, as per faraday's law,
= Induced EMF = d(Ф)dt
where Ф is magnetic flux
Thus, Ф = BA
so,
Induced EMF = d(BA) / dt
We can see time in inversely related to emf. So if we switch off the magnetic field in less time then EMF will be more.
Therefore, answer should be "The induced electromotive force is larger in magnitude if the magnetic field is turned off more quickly."
Next, the current should follow Lenz's law and t should oppose the change in magnetic flux.
The induced current should flow clockwise.
Now, we know
Induced emf = d(BA)/ dt
where A = pi X r²
So, if radius is doubled then,
= A = π X (2r)²
= A = 4 X pi X r²
Hence,
Emf increases by 4 times ( it quadruples ).
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) explain the concept of radiative forcing. (b) (4 points) some parts of the earth system are likely to respond rather slowly to rising greenhouse gases. describe at least two of these, mention roughly what time scales are involved, and explain what makes their response slow. (c) (3 points) explain why low clouds tend to have a net cooling effect on climate. (d) (3 points). depending on the efforts taken to mitigate greenhouse gas emissions, the trajectory of climate change can take very different paths in the future. which of the following is most likely to be true regardless of mitigation efforts in year 2
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When the quantity of energy entering and leaving the Earth's atmosphere is not the same, radioactive forcing results.
What is a good illustration of radioactive forcing?A radioactive forcing is an energy imbalance that the climate system is subjected to, either externally or as a result of human activity ( changes in solar energy output, volcanic anthropogenic emissions of greenhouse gases, aerosols, and their precursors; intentional land change.
The significance of radioactive forcing?In other words, if you want to know how to tell if something is good or bad, you need to know how to tell if it's good or bad.
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Two identical thin rods_ each of mass m and length L_ are joined at right angles to form an L-shaped object; This object is balanced on top of . sharp edge (Figure 1) If the object is displaced slightly; it oscillates: Part A Assume that the magnitude of the acceleration due to gravity iS g- Find W, the angular frequency of oscillation of the object Your answer for the angular frequency may contain the given variables mn and L as well as g- Figure 1 of 1 View Available Hint(s) AZd XOn Submit Previous Answers
Answers
The angular frequency of oscillation of the object, ω is calculated to be= √3g / 2√ 2 L.
What is angular frequency of oscillation?Number of oscillations per second of a particle executing simple harmonic motion is called angular frequency.
Given acceleration due to gravity is g,
=mg. L/2 {-2/√2* sinФ
When L- shaped object is slightly displaced by an angle, then
τ0 =mg. L/2 [(sin 45° - Ф) - (sin 45° + Ф)]
= 2 (mL²/3) α
= - (m*g*L Ф)/√3
α = -3g Ф/ 2√ 2 L
ω= √3g / 2√ 2 L
The angular frequency of oscillation of the object, ω= √3g / 2√ 2 L.
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In an experiment with a simple pendulum, measurements of the period T of the pendulum are made for different values of its length L. When plotted on a graph, which of the following should result in a straight-line fit of the data? A) Root T versus L B) T versus L C) T versus^ L2 D) T^2 versus L E) T^2 versus L^2
Answers
DataT2 vs L in a straight-line fit of the data have been plotted in an experiment .
What is pendulum used for?Pendulum: a body that is hung from a fixed location and moves back and forth as a result of gravity. Pendulums are employed to control clock movement because the period—the amount of time between each full oscillation—is constant.
What is pendulum energy?A pendulum is a straightforward illustration of energy transfer since it repeatedly transforms potential energy into kinetic energy until it comes to a halt due to the minimal amount of power lost to heat or air resistance.
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a. A mass, m2, is initially at rest. A mass, m1, traveling with velocity, v1, collides with m2 in an elastic collision. After the collision, the two objects move with final velocities, v1f and v2f respectively. Using the laws of conservation of energy and momentum, show that the ratio of the final velocities in terms of m1 and m2 is given by: (v2f/v1f) = (2m1/m1 −m2) b. Linearize the expression in Exercise 1 by making the following substitutions: y≡m2/m1 andx≡v1f/v2f If y is plotted as a function of x, what values do you expect for the slope and intercept? c. Based on your result from Exercise2, what ratio of masses, m2/m1,results in final velocities, v1f andv2f that are equal in magnitude and opposite in direction?
Answers
The collision energy is used for the proving of the equation and the ratio of masses is 1:3.
By conservation of momentum,
m1v1 + 0 = m1v1f + m2v2f
=) v1 = v1f + (m2/m1)v2f -------------- 1
By conservation of kinetic energy
(1/2)m1v1^2 + 0 = (1/2)m1v1f1^2 + (1/2)m2v2f2^2
m1v1^2 + 0 = m1v1f1^2 + m2v2f2^2 ------------- 2
m1[v1f + (m2/m1)v2f]^2 = m1v1f^2 + m2v2f^2
m1v1f^2 + (m2^2/m1)v2f^2 + 2m2.v1f.v2f = m1v1f^2 + m2v2f^2
(m2^2/m1)v2f^2 + 2m2.v1f.v2f = m2v2f^2
(m2^2/m1)v2f^2 + 2m2.v1f = m2v2f
v2f[1-m2/m1] = 2v1f
v2f/v1f = (2m1/m2 - m2) ----------- 3
Hence proved.
B
v1f/v2f = 1/2 - (1/2)(m2-m1)
Now y = 2 / m1 and = v1f/v2f
x = 1/2 - 1/2y
2x = 1-y
y = 2x + 1 -------------- 4
C
Comparing y = mc + x
slope is m = -2
intercept c = 1
Putting v1f = - v2f means x = -1
from eq 4,
m2/m1 = y = -2 * -1 * +1 = 3
m2/m1 = 3.
Therefore, the collision energy is used for the proving of the equation and the ratio of masses is 1:3.
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a girl pushes herself up a steep ramp in her wheelchair. She gains a vertical distance of 25.8m when she reaches the top of the ramp. She turns around and coasts back down the ramp. If the combined mass of the girl and her wheelchair is 64.6kg, what would be her coasting speed at the bottom of the ramp?
Answers
Answer:
Below
Explanation:
Her POTENTIAL energy , mgh , is converted to KINETIC energy , 1/2 mv^2
mgh = 1/2 mv^2 You can divide through by 'm' to get:
gh = 1/2 v^2 solve for 'v'
v = sqrt (2gh)
= sqrt ( 2 * 9.81 * 25.8) = 22.5 m/s
( NOTE that her mass, 64.6 kg , is irrelevant)
A charged particle of mass \displaystyle {m}m is traveling horizontally with speed \displaystyle {v}_{{0}}v 0
when it enters the region between two horizontal, oppositely charged parallel plates. The particle follows the path indicated in the figure, hitting the bottom plate. Which of the following factors determine the time the particle takes to reach the bottom plate? Select two answers.
The horizontal length of the plates
The magnitude of the charge on each plate
The mass of the particle
The initial speed \displaystyle {v}_{{0}}v 0
of the particle
Answers
The particle follows the path indicated in the figure, hitting the bottom plate. The mass of the particle and the magnitude of the charge on each plate factors determine the time the particle takes to reach the bottom plate.
What occurs when an electrically charged particle moves?
Magnetic force fields are produced by charged particles in motion. Charged particles that are accelerated create shifting electric and magnetic force fields that travel as EM waves. Polarized electromagnetic radiation (EMR) has all electric and magnetic field variations along the same plane.
A charged particle moves because of what?
Charged particles may move in spiral or elliptical patterns as a result of magnetic fields. Protons are kept on circular courses by particle accelerators using magnetic force. When cosmic rays come into contact with an astronomical object or planet's magnetic field, they will travel in spiral patterns.
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The particle follows the path indicated in the figure, hitting the bottom plate. The mass of the particle and the magnitude of the charge on each plate factors determine the time the particle takes to reach the bottom plate.
What occurs when an electrically charged particle moves?Magnetic force fields are produced by charged particles in motion. Charged particles that are accelerated create shifting electric and magnetic force fields that travel as EM waves. Polarized electromagnetic radiation (EMR) has all electric and magnetic field variations along the same plane.
A charged particle moves because of what?Charged particles may move in spiral or elliptical patterns as a result of magnetic fields. Protons are kept on circular courses by particle accelerators using magnetic force. When cosmic rays come into contact with an astronomical object or planet's magnetic field, they will travel in spiral patterns.
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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you.
How big is the force acting on the wire?
A. 4 N
B. 8 N
C. 12 N
D. 16 N
Answers
The force acting on the 2 m wire carrying a 2 A current and placed in a 4 T magnetic field is 16 N.
Explanation:The subject of this question is Physics, particularly dealing with the concept of magnetic force. In this scenario, we are asked to determine the magnitude of the force acting on a wire that is carrying a current and placed within a magnetic field. The force on a current carrying conductor in a magnetic field can be calculated using the formula F=BIL, where F is the magnetic force, B is the magnetic field strength, I is the current in the wire, and L is the length of the wire.
In this problem, we are given B=4 T, I=2 A, and L=2 m. Substituting these values into the equation, we find that F=BIL=(4 T)*(2 A)*(2 m)=16 N.
Therefore, the correct answer is D. 16 N.
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we can detect a transiting planet by: we can detect a transiting planet by: an increase in the total amount of light received from the planet's star. the light that the planet emits. the doppler effect of the planet's light as it orbits. the amount of light it blocks from its star.
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Transit photometry is presently the most effective and sensitive method for detecting extrasolar planets. It is a particular method for space-based observatories that can stare continuously at stars for weeks or months.
Mostly of the exoplanets have been discovered using the transit method. It occurs when a planet passes between a star and its observer.
Transits in our solar system can be observed from Earth when Venus or Mercury travel in between us and the Sun in our solar system.
Transits tell an exoplanet not because we directly see it from many light-years away, but because the planet passing in head of its star ever so slightly dims its light.
This darken can be seen in light curves graphs showing light received over a period of time. When the exoplanet passes in head of the star, the light curve will show a dip in brightness.
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the potential difference across the terminals of a battery is 8.20 v when there is a current of 1.55 a in the battery from the negative to the positive terminal. when the current is 3.52 a in the reverse direction, the potential difference becomes 10.40 v.
potential difference across the terminals of a battery is 8.2
V when there is a current of 1.54A in the battery from the negative to the positive terminal. When the current is 3.49A in the reverse direction, the potential difference becomes 9.2V
A-What is the internal resistance of the battery?
B-What is the emf of the battery?
Answers
The internal resistance of the battery is 0.1988 ohms and the emf of the battery is 8015 v
Given
V1=8.2 V
I1 =1.54 A
and
V2=9.2 V
I2=-3.49 A (since it is in reverse direction)
a)
since
E= V1+I1r
E=V2+I2r
V1+I1r =V2+I2r
8.2+1.54r =9.2-3.49r
5.03r =1
Resistance r=0.1988 ohms
b)
E=V1+I1r =8.2+1.54*0.1988
E=8.51 V
The effort required to transfer a unit of positive electric charge from one location to another is known as potential difference.
Due to the potential difference between the two ends of the battery, if you connect the two ends of the same wire to the opposite ends of the same battery, electricity will flow through it.
Work is done by the component when electrons travel through it. The component receives a portion of the electrons' energy
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(a) calculate the focal length of the mirror formed by the convex side of a shiny spoon that has a 2.41 cm radius of curvature.
Answers
The focal length of the mirror formed by the convex side of a shiny spoon will be 0.0205 m.
As per the question,
It is given that,
The radius of curvature R=2.41 cm
We know, for determining the relationship between focal length and radius of curvature we have the following relationship:
[tex]\mathrm{f}=\frac{\mathrm{R}}{2}[/tex]
So, for determining the value of focal length we will put the value of the radius of curvature in the above formula.
Thus, we will get,
[tex]\mathrm{f}=\frac{2.41}{2}\\\mathrm{f}=1.205 \mathrm{~cm}\\\mathrm{f}=0.0205 \mathrm{~m}\\f=-0.0205 m[/tex]
As the focal length of the mirror is formed by the convex side of the shiny spoon. So, for denoting it we used a negative sign.
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select all the statements that correctly describe why an ir spectrum can be used to determine functional group information. multiple select question.
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Wavenumber (and frequency) drop from left to right, and peaks in an IR spectrum grow downward.
An absorption technique that is frequently used in both qualitative and quantitative investigations is infrared (IR) spectroscopy. The electromagnetic radiation in the infrared area of the spectrum has the ability to change the rotational and vibrational states of covalent bonds in organic molecules.
In addition to a variety of other uses, infrared spectroscopy (IR) is used to determine chemical species, identify chemical species, quantify chemical species, and determine molecular structure. Utilizing this method, scientists may examine matter in its solid, liquid, and gaseous phases.
An atom or group of atoms inside a molecule that exhibits a comparable set of chemical characteristics across a variety of compounds is referred to as a functional group.
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Find the total resistance
the answer might be 50 or 80
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The total resistance will ne 80. The amount that a resistor adds to the circuit's overall resistance depends on how it is connected.
What is total resistance?When connecting electrical components, there are two options. Parallel circuits connect components along parallel branches, whereas series circuits connect components one after the other.
Ohm's Law, which states that voltage equals current times resistance, if you don't know the specific values of each resistance.
In a series circuit, the current is constant throughout the whole circuit. The supply voltage is the same as the total voltage (the battery). It differs from the voltage across a single component.
Therefore, The total resistance will ne 80. The amount that a resistor adds to the circuit's overall resistance depends on how it is connected.
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a solar-mass star will evolve off the main sequence when a solar-mass star will evolve off the main sequence when it loses all its neutrinos, so fusion must cease. it builds up a core of inert helium. it completely runs out of hydrogen. it expels a planetary nebula to cool off and release radiation. it explodes as a violent nova.
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When a solar-mass star will evolve off the main sequence when it loses all its neutrinos, so fusion must cease it builds up a core of inert helium.
The right order of evolutionary levels for a solar mass big name is: principal sequence, horizontal department, asymptotic branch, white dwarf. The electricity that fuels the sun is generated: best in its core.
Sooner or later, a chief series megastar burns through the hydrogen in its core, attaining the quit of its existence cycle. At this factor, it leaves the main sequence.
Stars smaller than 1 / 4 the mass of the solar collapse directly into white dwarfs. White dwarfs now not burn fusion at their center, however they still radiate warmness.
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A metallic circular plate with radius r is fixed to a tabletop. An identical circular plate supported from above by a cable is fixed in place a distance dd above the first plate. Assume that dd is much smaller than r. The two plates are attached by wires to a battery that supplies voltage V.1) What is the tension in the cable? Neglect the weight of the plate.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.F=2) The upper plate is slowly raised to a new height 2d. Determine the work done by the cable by integrating ∫d to 2d F(z)dz, where F(z) is the cable tension when the plates are separated by a distance z.Express your answer in terms of the variables d, r, V, and constants ϵ0,pi.W=3) Compute the energy stored in the electric field before the top plate was raised.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.U=4) Compute the energy stored in the electric field after the top plate was raised.Express your answer in terms of the variables d, r, V, and constants ϵ0, pi.U=5) is the work done by the cable equal to the change in the stored electrical energy? If not, why not?The work done in separating the plates is equal to energy change in the plates.The work done in separating the plates is equal to the magnitude of the energy change in the plates. This does not mean that the work done is equal to the change in the energy stored in the plates. The work done on the plates is positive but the plates lose energy. The plates are connected to the battery, so the potential difference across them remains constant as they are separated. Therefore charge is forced off of the plates through the battery, which does work on the battery.
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An electrical charge and electrical energy are stored in a capacitor. Typically, capacitors have two electrical conductors that are spaced apart.
(Note that although these electrical conductors are frequently called "electrodes," they are actually "capacitor plates.") A capacitor is referred to as a "vacuum capacitor" if the distance between capacitors is merely a vacuum. However, a dielectric, an insulating substance, is typically used to fill the void. (In the sections on dielectrics later in this chapter, you will learn more about dielectrics.) You will learn more about the capacitance property of capacitors a little bit later in this section. Capacitance is what determines how much storage a capacitor can hold.
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String is wrapped around a solid wood cylinder and a hollow metal cylinder, both of
which have mass 4.0 kg and radius 0.30 m. Both start from rest at a distance 6.0 m above the ground and unwind the string while rotating without slipping under the influence of gravity. What are the final linear velocities (v) of the two cylinders just before they hit the ground?
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The final linear velocity of the solid wood cylinder just before it hits the ground is 8.85 m/s.
The final linear velocity of the hollow metal cylinder just before it hits the ground is 7.7 m/s.
What is the final velocity of the two cylinders?
The final linear velocities of the two cylinders just before they hit the ground is calculated by applying the principle of conservation of energy.
translational kinetic energy + rotational kinetic energy = gravitational potential energy
¹/₂mv² + ¹/₂Iω² = mgh
where;
v is the linear velocityω is the angular velocity = v / rI is the moment of inertiaThe moment of inertia of solid cylinder, I = ¹/₂mr²
¹/₂mv² + ¹/₂Iω² = mgh
¹/₂mv² + ¹/₂(¹/₂mr²)(v/r)² = mgh
¹/₂mv² + ¹/₄(mr²)(v²/r²) = mgh
¹/₂mv² + ¹/₄(mv²) = mgh
¹/₂v² + ¹/₄v² = gh
2v² + v² = 4gh
3v² = 4gh
v² = 4gh/3
v = √ (4gh / 3)
v = √ (4 x 9.8 x 6 / 3)
v = 8.85 m/s
The moment of inertia of hollow cylinder, I = mr²
¹/₂mv² + ¹/₂Iω² = mgh
¹/₂mv² + ¹/₂(mr²)(v/r)² = mgh
¹/₂mv² + ¹/₂(mr²)(v²/r²) = mgh
¹/₂mv² + ¹/₂(mv²) = mgh
¹/₂v² + ¹/₂v² = gh
2v² = 2gh
v² = 2gh / 2
v² = gh
v = √ (gh)
v = √ (9.8 x 6)
v = 7.7 m/s
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can you put a non dimmable led bulb on a ciruit with a dimmer switch if i do not intend to use the dimming function
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YES, Many consumers have concerns about changing their incandescent bulbs because they are unsure of how LED light bulbs operate. Using dimmable LED light bulbs in sockets without a dimmer switch is one often requested query.
Compared to conventional incandescent bulbs, LED light bulbs have many benefits. The key benefits are longer life, less heat, and less electricity usage. Non-dimmable LED lights are becoming less and less available from shops. As a result, it is almost certain that you will need to use a conventional socket to install a dimmable LED light.
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the fact that the ratio of helium to hydrogen in the universe is so large (25%:75%) is evidence that group of answer choices the age of the universe is roughly 14 billion years the expansion of the universe is accelerating the whole universe was once as hot as the interior of a star nuclear fusion rates in stars were much higher in the past
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hydrogen, accounts for 74% of the mass while helium contributes 25%. Heavier elements comprise less than 1% of the total.This universe was 13.7 billion years old, adding or subtracting approximately 130,000 years, as determined by NASA's WMAP probe.
Why do hydrogen and helium make up the majority of the universe's mass?The vast quantities of helium and hydrogen that were created during the Big Bang account for the majority of the chemical elements' abundance in the cosmos.Only 2% of the universe's mass is made up of remaining elements, which were primarily created by supernovae and some red giant stars.
Why is hydrogen most prevalent in the universe but has a low percentage on Earth?As the only element in the cosmos without a neutron, hydrogen is the most basic in the universe, that explains why it is also the most plentiful, according to Nyman. Hydrogen has just one proton one and electron.
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