The capacitance of a parallel plate capacitor is defined as the ratio of the charge stored on the capacitor plates to the voltage applied between them. If the voltage applied to a parallel plate capacitor is doubled and no other changes are made, the capacitance remains constant.
This can be explained using the equation C = Q/V, where C is the capacitance, Q is the charge stored on the plates, and V is the voltage applied between the plates.
Since the distance between the plates and the area of the plates remain constant, the charge stored on the plates will increase proportionally to the increase in voltage. However, the capacitance will not change as it is solely dependent on the geometry of the plates and the distance between them. Therefore, if the voltage applied to a parallel plate capacitor is doubled and no other changes are made, the capacitance remains constant.
It is important to note that increasing the voltage applied to a capacitor beyond its rated voltage can result in the breakdown of the dielectric material between the plates, leading to a decrease in capacitance and potentially damaging the capacitor. Therefore, it is important to operate capacitors within their rated voltage range to ensure their proper function and longevity.
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If a light ray from a candle strikes a mirror at an angle of 40° with the normal, at what angle will the ray reflect? a. 20° b. 25° c. 40° d. 60° e. 80°
The ray of light reflects at an angle of 40° from the mirror.
In brief:The angle of incidence of a ray of light should be equal to the angle of reflection as is stated by the first law of reflection. That is the reason why the ray from the candle reflect at 40° which is equal to the angle of incidence.
What is reflection?The bouncing back of light from a smooth surface is called reflection.
What is angle of incidence?The angle at which a ray of light is incident on a surface or strikes a surface is called angle of incidence.
What is angle of reflection?The angle at which a ray of light reflects from a smooth surface after its incidence is called angle of reflection.
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choose the statement below that is true. k < 1, δg°rxn is negative.
The statement "δg°rxn is negative" is true. In thermodynamics, δg°rxn refers to the standard Gibbs free energy change of a reaction.
It is a measure of the spontaneity and energy change associated with a chemical reaction under standard conditions. A negative value of δg°rxn indicates that the reaction is thermodynamically favorable and tends to proceed in the forward direction.
The Gibbs free energy (G) is related to the equilibrium constant (K) of the reaction through the equation ΔG = -RT ln(K), where R is the gas constant and T is the temperature. The sign of ΔG determines the direction of the reaction: negative ΔG corresponds to a spontaneous reaction (forward direction), while positive ΔG corresponds to a non-spontaneous reaction (reverse direction).
Therefore, when δg°rxn is negative, it implies that the reaction has a favorable change in Gibbs free energy and tends to proceed in the forward direction. This indicates that the reaction is thermodynamically feasible and has a higher probability of occurring.
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You measure the distance between the finges of a diffraction pattern as follows: Distance (mm): 3.14, 3.29, 3.29 You measure the distance eight additional times to obtain the following ten values: Distance (mm): 3.14, 3.29, 3.29, 3.19, 3.22, 3.31, 3.29, 3.07, 3.09, 1.46 What values for the distance and uncertainty would you report using the first three measurements and the entire set of ten measurements
The values for the distance and uncertainty are as follows:
Using the first three measurements:
Distance: 3.24 mm
Uncertainty: 0.057 mm
Using all ten measurements:
Distance: 2.98 mm
Uncertainty: 0.448 mm
To report the values for the distance and uncertainty using the first three measurements and the entire set of ten measurements, we can calculate the mean and standard deviation for each set of measurements.
First, let's calculate the values using the first three measurements:
Distance (mm): 3.14, 3.29, 3.29
Mean: (3.14 + 3.29 + 3.29) / 3 = 3.24 mm
Standard Deviation: √((3.14 - 3.24)² + (3.29 - 3.24)² + (3.29 - 3.24)²) / √(3 - 1) = 0.057 mm
Now, let's calculate the values using all ten measurements:
Distance (mm): 3.14, 3.29, 3.29, 3.19, 3.22, 3.31, 3.29, 3.07, 3.09, 1.46
Mean: (3.14 + 3.29 + 3.29 + 3.19 + 3.22 + 3.31 + 3.29 + 3.07 + 3.09 + 1.46) / 10 = 2.98 mm
Standard Deviation: √((3.14 - 2.98)² + (3.29 - 2.98)² + (3.29 - 2.98)² + (3.19 - 2.98)² + (3.22 - 2.98)² + (3.31 - 2.98)² + (3.29 - 2.98)² + (3.07 - 2.98)² + (3.09 - 2.98)² + (1.46 - 2.98)²) / √(10 - 1) = 0.448 mm
Therefore, the values for the distance and uncertainty are as follows:
Using the first three measurements:
Distance: 3.24 mm
Uncertainty: 0.057 mm
Using all ten measurements:
Distance: 2.98 mm
Uncertainty: 0.448 mm
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Which of the following statements is true with regard to elastic and inelastic collisions
A sportscar has a mass of 1500 kg and accelerates at 5 meters per second squared. What is the magnitude of the force acting on the sportscar?
Answer:
7500 Newtons
Explanation:
Mass of the sportscar= 1500 kg
Acceleration of the sportscar= 5m/s^2
Hence, let the Force acting on it be F
\(We\ know\ that,\\Force=Mass*Acceleration\\F=ma\\\\Here,\\F=1500*5\\=7500 kg m/s^2\ or\ 7500\ Newtons\)
proof the equation of motion third
The proof of third equation of motion is determined as v² = 2as + u².
What is the proof of third equation of motion?
The proof of third equation of motion is determined as follows;
The first equation is given as;
v = u + at
t = ( v - u ) /a
where;
u is the initial velocitya is the accelerationt is the time of motionThe formula for the average distance traveled by an object is;
s = (v + u)/2 x t
Expand the equation above as;
s = (v + u)/2 x (v - u)/a
s = (v² - u²) / 2a
2as = v² - u²
v² = 2as + u², proved
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The direction equivalent to {40° W of S} is:
A. 40 ° E of S
B. 40° W of N
C. 40° E of N
D. 50° S of W
E. 50° E of N
Answer:
c
Explanation:
which of the following statements are false? question 20 options: a starburst galaxy undergoes faster production of stars a starburst galaxy will be dimmer than normal elliptical galaxies are more likely to be found near the edges of dense star clusters spiral galaxies are more likely to be near the middle of dense star clusters measuring the amount of helium in the universe allows us to estimate the density of the universe that is contributed by normal matter hydrogen and helium in interstellar and intergalactic space make up about 4 % of the mass required to reach critical density.
The scientific understanding is constantly evolving, and these statements may be subject to change as new observations and theories are developed.
Based on current scientific understanding, there are two false statements in the given options:
The statement that "a starburst galaxy will be dimmer than normal" is false. In fact, starburst galaxies are often very bright because they are undergoing a rapid burst of star formation, which produces a large amount of light.
The statement that "spiral galaxies are more likely to be near the middle of dense star clusters" is also false. Spiral galaxies are actually more commonly found in the outskirts of galaxy clusters, rather than in the dense central regions.
The other statements are true based on current scientific knowledge. Starburst galaxies are known to undergo faster star formation, elliptical galaxies are indeed more likely to be found near the edges of dense star clusters, and measuring the amount of helium in the universe can allow us to estimate the density of normal matter in the universe. Additionally, hydrogen and helium do make up a small fraction of the mass required to reach critical density in the universe.
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(5.6x10^-7m)/(2.8x10^-12s)
A science teacher ran a marathon. After the race she showed her students the silver blanket she was given to keep her warm.A group of students investigated how the colour of the blanket affected how much infrared radiation is absorbed.
Plan an investigation
Answer:
the foiley like color doesn't absorb the heat it bounces off of it. it would be much better to have a black blanket
explain a conventional method of heat transfer.
Conventional method of heat transfer.
Convection refers to a method of heat transfer where food is heated by a moving heat source such as hot air inside an oven that is circulated by a fan.How it works?
Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy. Heat energy is transferred from hot places to cooler places by convection. Liquids and gases expand when they are heated. As a result, the particles take up more volume.For example:
Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.Learn more:
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Find a real root of the equation f(x)=x^2-2x-5=0, using bisection method in five stages.
A real root of the equation f(x) = x^2 - 2x - 5 = 0, found using the bisection method in five stages, is approximately x = -0.046875. To find a real root of the equation f(x) = x^2 - 2x - 5 = 0 using the bisection method, we can start by identifying an interval [a, b] that contains the root. Let's choose the interval [-3, 0], where f(a) = f(-3) = 4 and f(b) = f(0) = -5. Since f(a) and f(b) have opposite signs, there must be a root within this interval.
Stage 1:
- Start with interval [a, b] = [-3, 0]
- Calculate the midpoint c = (a + b) / 2 = (-3 + 0) / 2 = -1.5
- Evaluate f(c) = (-1.5)^2 - 2(-1.5) - 5 = -0.25
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-1.5, 0]
Stage 2:
- Calculate the new midpoint c = (a + b) / 2 = (-1.5 + 0) / 2 = -0.75
- Evaluate f(c) = (-0.75)^2 - 2(-0.75) - 5 = -4.4375
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.75, 0]
Stage 3:
- Calculate the new midpoint c = (a + b) / 2 = (-0.75 + 0) / 2 = -0.375
- Evaluate f(c) = (-0.375)^2 - 2(-0.375) - 5 = -2.7461
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.375, 0]
Stage 4:
- Calculate the new midpoint c = (a + b) / 2 = (-0.375 + 0) / 2 = -0.1875
- Evaluate f(c) = (-0.1875)^2 - 2(-0.1875) - 5 = -1.2217
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.1875, 0]
Stage 5:
- Calculate the new midpoint c = (a + b) / 2 = (-0.1875 + 0) / 2 = -0.09375
- Evaluate f(c) = (-0.09375)^2 - 2(-0.09375) - 5 = -0.6104
- Since f(c) has the same sign as f(a), replace a with c: [a, b] = [-0.09375, 0]
After five stages, the interval [a, b] has become [-0.09375, 0]. Since the interval is small, we can approximate the root as the midpoint of this interval:
Root ≈ (a + b) / 2 = (-0.09375 + 0) / 2 = -0.046875
Therefore, a real root of the equation f(x) = x^2 - 2x - 5 = 0, found using the bisection method in five stages, is approximately x = -0.046875.
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Two horses are pulling a box in two different directions as shown in the below image. The image shows one 30.0 N force due north and one 30.0 N force due east.
What is the magnitude of the force needed to stop the horses and bring the box into equilibrium? Describe your calculations. Where would you locate the rope to apply the force?
Explanation:
'What is the magnitude of the force needed to stop the horses and bring the box into equilibrium?' ≈42N; according to the vectors rules.
'Where would you locate the rope to apply the force?' - in point D.
PS. zoom out the attached picture.
Whatb19 ÷117= some help me with this
Answer:
0.16239316239316239316239
Explanation:
ang haba nang solve ko dito hehe
A cube of Iron, 0.0800 m on a side, has a density of 7874 kg/m^3. What is its mass? a (Unit = kg)
The mass of the iron cube of side 0.0800 m, having a density of 7874 kg/m³ is 50.39 kg.
What is mass?Mass can be defined as the quantity of matter a body contains
To calculate the mass of the iron cube, we use the formula below.
Formula:
m = DL³........... Equation 1Where:
m = mass of the iron cubeD = Density of the iron cubeL = Length of each side of the cubeFrom the question,
Given:
D = 7874 kg/m³L = 0.08 mSubstitute these values into equation 1
m = 7874(0.08³)m = 50.39 kgHence, The mass of the iron cube is 50.39 kg.
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Answer:
4.03
Explanation:
correct answer for acellus
If x(t) and y(t) denote the system input and output, respectively, state whether the following systems are linear or nonlinear, causal or noncausal, time-variant or time-invariant, memoryless or with memory: a) y(t) = tx(t) b) y(t) = ax(t) +b, where a and b are constants. c) y(t) = ax² (t) +bx(t)+c, where a, b and c are constants. d) y(t) = x(T) dT
y(t) = tx(t) is a linear system, causal, time-variant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively.
Consider the input signal x(t) = a1x1(t) + a2x2(t),
where a1 and a2 are constants.
Then the output of the system is given by
y(t) = tx(t) = t(a1x1(t) + a2x2(t)) = a1
tx1(t) + a2
tx2(t) = a1y1
(t) + a2y2(t).
Therefore, this system is linear.b) y(t) = ax(t) + b,
where a and b are constants is a linear system, causal, time-invariant, and with memory.Let's show that this system is linear using superposition. Suppose
x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal
x(t) = a1x1(t) + a2x2(t),
where a1 and a2 are constants. Then the output of the system is given by
y(t) = ax(t) + b = a(a1x1(
t) + a2x2(t)) + b = a1ax1(t) + a2ax2(t) + b = a1y1(t) + a2y2(t).
Therefore, this system is linear.c)
y(t) = ax²(t) + bx(t) + c,
where a, b, and c are constants, is a nonlinear system, causal, time-invariant, and with memory. To see that it's nonlinear, consider two input signals, x1(t) and x2(t), and let y1(t) and y2(t) be the corresponding outputs. Let x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants.
Then the output of the system is given
byy(t) = ax²(t) + bx(t) + c = a(a1x1(t) + a2x2(t))² + b(a1x1(t) + a2x2(t)) + c ≠ a1y1(t) + a2y2(t).
Therefore, this system is .d) y(t) = x(T)dT is a linear system, time-invariant, and with memory. Let's show that this system is linear using superposition. Suppose x1(t) and x2(t) are two input signals, and we apply them to the system to get y1(t) and y2(t), respectively. Consider the input signal x(t) = a1x1(t) + a2x2(t), where a1 and a2 are constants. Then the output of the system is given by
y(t) = x(T)dT = (a1x1(T) + a2x2(T))dT = a1x1(T)dT + a2x2(T)
dT = a1y1(t) + a2y2(t).
Therefore, this system is linear.
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A force of 6 N is used to open a door, wherein the distance of the force to the axis of rotation is 80 cm. If the angular acceleration it acquires is 0.5 rad/s 2, determine the moment of inertia of the door.
Explanation:
∑τ = Iα
(6 N) (0.80 m) = I (0.5 rad/s²)
I = 9.6 kg m²
A skier skids to a stop at the bottom of a mountain.
What is the equal and opposite force for the force of the skier's friction pushing on the mountain as
described by Newton's third law?
Answer:
Friction of the mountain on the skier in the opposite direction
Explanation:
answered it on khan academy
Friction of the mountain on the skier in the opposite direction.
What is Newton's third law?A force is a push or a pull that acts upon an object as a results of its interaction with another object. Forces result from interactions.
Forces result from contact interactions (normal, frictional, tensional, and applied forces are examples of contact forces) and other forces are the result of action-at-a-distance interactions (gravitational, electrical, and magnetic forces).
There are two forces resulting from this interaction - a force on the chair and a force on your body. These two forces are called action and reaction forces and are the subject of Newton's third law of motion.
Therefore, Friction of the mountain on the skier in the opposite direction.
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A car accelerating from rest and reach 150 m/s, if the car moved for 400 m.
1. what is the value of the race constant acceleration?
2. how long does it take the car to complete the distance?
1 ) The value of the race constant acceleration = 28.14 m / s²
2 ) Time taken by the car to complete the distance = 5.33 s
s = ( u + v ) t / 2
s = Displacement
u = Initial velocity
v = Final velocity
t = Time
u = 0 m / s
v = 150 m / s
s = 400 m
400 = ( 0 + 150 ) t / 2
t = 800 / 150
t = 5.33 s
v = u + a t
a = Acceleration
150 = 0 + 5.33 a
a = 150 / 5.33
a = 28.14 m / s²
Therefore,
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Plot the line for the equation on the graph.
y−2=−2(x+4)
You are going to construct a new optical observatory, and money is no object. Other than putting it into space, what factors will affect your decision for its location on Earth?
Answer:
When choosing a location for a new optical observatory on Earth, there are several factors to consider. Some of the key factors include:
Atmospheric Conditions: The observatory must be located in an area with stable, clear, and dry atmospheric conditions. This is because atmospheric turbulence and water vapor can affect the clarity of the images obtained by the telescope.Light Pollution: The observatory should be located far away from sources of light pollution such as cities, airports, and highways. Light pollution can interfere with the ability of the telescope to capture clear images of the night sky.Altitude: Higher altitudes are generally better for astronomical observations, as the air is thinner and there is less atmospheric distortion.Accessibility: The observatory should be easily accessible for the transportation of personnel, equipment, and supplies. It is also important to consider factors such as the availability of electricity, water, and other resources.Stability: The observatory must be located in an area that is geologically stable, with minimal seismic activity, to avoid any damage to the telescope and its support structures.Taking into account these factors, some of the best locations for optical observatories on Earth are high-altitude sites in remote, dry, and mountainous areas, like Mauna Kea in Hawaii, Cerro Paranal in Chile, or Roque de los Muchachos Observatory in Spain!
which solid state component allows a mobile phone to store data even if the battery is removed
Answer:
The capacitor helps to store data even after the battery is removed
Explanation:
The cell phone is fitted with different types of capacitors, which come in all shapes and sizes. However they come, their main function is to store charges within them, and dissipate these charges when necessary.
This serves a great purpose in the printed circuit boards of phones as they provide the power needed for data to be stored even when the battery of the phone is removed.
A capacitor is a solid-state device because it has no moving part. It just stores charges within its parallel plates for the phone until the power is needed.
Your friend phred says ""i decided to make one of those online personality tests as a project in my psychology class. how hard can it be?"" part a: explain whether or not phred should use the following personality theories as a basis for his online personality test. • psychoanalytic perspective• humanistic theory• trait theory
Fredd must use the trait theory for the online personality tests because it is based on distinctive features.
What is the trait theory?The trait theory is a model that states people have certain basic personality traits which are distinctive features.
The trait theory is always based on the strength of these basic human trait characteristics.
The trait theory is based on three types of features capable of being used to describe personality, which include stability, consistency and individual differences.
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a photo taken by an american spy plane pilot at 60,000 feet was just released. what does it show?
Historically, photographs taken by American spy planes at high altitudes have been used for various purposes such as reconnaissance and intelligence gathering.
Depending on the specific photograph in question, it could potentially show a wide range of information such as military installations, troop movements, or other sensitive information. The altitudes at which a photo is taken can affect the level of detail that can be seen in the image. However, it is important to note that the use of such technology can also raise privacy and security concerns, particularly if it is used to gather information on individuals or groups without their consent or knowledge.
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What are some possible sources of motion that could be harnessed for a generator?
Explanation:
There are multiple other sources of kinetic energy that can be harnessed for electricity. Wind-powered turbines can create energy through windmills or wind-power generators. Wind energy is harnessed into kinetic energy by turning panels that are designed and angled to catch as much wind as possible.
Water is more dense in its solid state.
Water is more dense in its solid state.
This statement is true.
Answer: what is it asking
Explanation:
please help 25 points!
Calculate the Tiger Beetle's Speed as shown in the graph below.
a. 0.1 km/min
b. 10 km
c. 10 min
d. 10 km/min
e. 0.1 mi/h
0.1 km/min
Explanation:
1 km every 10 minutes
A phonograph record 0.15 m in its radius rotates 18 times per 90 seconds what is the frequency?
Answer:
The frequency of the phonograph record is 0.2 Hz
Explanation:
The frequency of an object moving in uniform circular motion is the number of completed cycles the object makes in a specified time period
The given parameters of the phonograph record are;
The radius of the record = 0.15 m
The number of times the phonograph record rotates, n = 18 times
The time it takes the phonograph record to rotate the 18 times, t = 90 seconds
The frequency of the phonograph record, f = (The number of times the phonograph record rotates) ÷ (The time it takes the phonograph record to rotate the 18 times)
∴ The frequency of the phonograph record, f = n/t = 18/(90 s) = 0.2 Hz
The frequency of the phonograph record = 0.2 Hz.
how to calculate light year, minute and second?
Answer:
A light-year is the distance light travels in one year. How far is that? Multiply the number of seconds in one year by the number of miles or kilometers that light travels in one second, and there you have it: one light-year. It's about 5.88 trillion miles (9.5 trillion km).
Explanation:
A 10 kg box falls off a building. The box is shown at 4 different positions along its
path.
For each position of the box, calculate the potential energy (PE). Then use the law of
conservation of energy to determine the kinetic energy (KE). Calculate the velocity of the box
at each point for extra credit.
Main answer-
PE=mgh
KE=E-PE
V = (2*g*h)^½
at point A
PE = 10*9.8*50=4900 J
KE = 0 J ( because the velocity of the body is 0)
V=0
at point B
PE = 10*9.8*35=3430 J
KE = 4900-3430=1470 J
V= ( 2*9.8*15)^ ½
V=17.14 m/s
at point C
PE= 10*9.8*25=2450 J
KE=4900-2450=2450 J
V= (2*9.8*25)^ ½
V=22.135 m/s
at point D
PE=10*9.8*0=0 J
KE=4900-0=4900 J
V=(2*9.8*50)^ ½
V=31.30 m/s
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