On connecting a 9V battery to a Capacitor consisting of two circular plates of radius 0.066 m separated by an air gap of 2. 0 mm. The charge on the positive plate is 544.7 ×10⁻¹² C.
Capacitance of the capacitor is determined by the area of the plate of Capacitor and distance between the plates of capacitor.
Let the area of the Capacitor be A , radius of circular plates be r and distance between the plates of capacitor be d.
Given, Voltage, V = 9V
Radius, r = 0.066m
Distance, d = 2mm = 0.002m
Area of the Capacitor, A = πr²
A = π(0.066)²
A = 0.013m²
Capacitance, C = ε₀A / d
C = 8.85×10⁻¹²×0.013/0.002
C = 60.5 ×10⁻¹² F
C = 60.5 pF
We know that Q = CV where Q is the charge on capacitor.
Q = 60.5 ×10⁻¹² × 9
Q= 544.7 ×10⁻¹² C
Since, both plates of a capacitor acquire equal and opposite charge.
Hence the charge on the positive plate of the capacitor is 544.7 ×10⁻¹² C.
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Physics question (All the filled in parts are correct) Please help and include explanation with answer. Thanks!
Based on the information provided, we can infer and logically deduce the following salient points and parameters:
Height of water slide (Adjacent) = 15.0 meters.Length of water slide (Hypotenuse) = 20.0 meters.This ultimately implies that, the horizontal distance covered by this water slide represents the opposite side of a right-angled triangle and as such we would apply Pythagorean theorem.
Mathematically, Pythagorean theorem is given by this formula:
c² = a² + b²
Where:
h is the hypotenuse of a right-angled triangle.a is the adjacent side of a right-angled triangle.b is the opposite side of a right-angled triangle.Substituting the given parameters into the formula, we have;
20.0² = 15.0² + b²
b² = 20.0² - 15.0²
b² = 400.0 - 225.0
b² = 175.0
b = √175.0
b = 13.23 meters.
Thus, we would apply sine trigonometry to determine the magnitude of the first complimentary angle (θ₁) formed by this right-angled triangle:
Sinθ₁ = Opp/Hyp
Sinθ₁ = 13.23/20.0
Sinθ₁ = 0.6615
θ₁ = sin⁻¹(0.6615)
θ₁ = 41.41°.
How to calculate the angle?We know that θ is the angle formed between the water slide and the horizontal plane. Thus, we would determine the magnitude of this second complimentary angle (θ₂):
θ = θ₁ + θ₂
90° = 41.41° + θ₂
θ₂ = 90° - 41.41°
θ₂ = 48.59°.
From the above, we have:
Sinθ₂ = Sin(48.59) = 0.75.
Cosθ₂ = Cos(48.59) = 0.66.
Tanθ₂ = Tan(48.59) = 1.134.
How to determine the magnitude of Eric's weight?Mathematically, the weight of a physical body (object) can be calculated by using this formula:
Weight = mg
Weight = mass × acceleration due to gravity
Weight = 40.0 × 9.8
Weight = 392 Newton.
How to determine the magnitude of the normal force?Mathematically, the magnitude of the normal force Eric receives from the water slide is given by:
Normal force = mgcosθ
Normal force = 40.0 × 9.8 × cos(48.59)
Normal force = 392 × 0.66
Normal force = 258.72 Newton.
How to determine the magnitude of the normal force?Mathematically, the magnitude of the normal force Eric gives the water slide is given by:
Normal force, Fₙ = mgcosθ
Normal force, Fₙ = 40.0 × 9.8 × cos(48.59)
Normal force, Fₙ = 392 × 0.66
Normal force, Fₙ = 258.72 Newton.
How to determine the gravitational force component?Mathematically, the magnitude of his gravitational force's component parallel to the water slide is given by:
F = Wsinθ = mgsinθ
F = 40.0 × 9.8 × sin(48.59)
F = 392 × 0.75
F = 294 Newton.
How to calculate the friction force?Mathematically, the magnitude of the friction force between Eric and the water slide is given by:
Fs = μ_s(Fₙ)
Fs = 0.10 x 258.72 N
Fs = 25.872 Newton.
How to calculate Eric's acceleration?First of all, we would determine the net force acting on Eric?
F(net) = F - Fs
F(net) = 294 - 25.872
F(net) = 268.13 Newton.
From Newton's second law of motion, acceleration is given by this formula:
Acceleration = Net force/Mass
Acceleration = 268.13/40.0
Acceleration = 6.70 m/s².
How to calculate Eric's speed?In this scenario, we would calculate Eric's speed by using the third equation of motion:
V² = U² + 2aS
V² = 0² + 2(6.70)(20.0)
V² = 268
V = √268
V = 16.37 m/s.
At least, the superman has to apply the following force to prevent Emily from sliding:
Force = Weight - Normal force
Force = 392 - 258.72
Force = 133.28 Newton.
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What are the similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity)?
Similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity) is that Electric fields are produced by two kinds of charges, positive and negative similarly Magnetic fields are associated with two magnetic poles
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
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.
Electric fields are produced by two kinds of charges, positive and negative. Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges).
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A beaker was weighed on an electronic balance. the display showed 56. 078 grams. what mass should you record for the empty beaker?
Answer:
56.18 grams because you have to round it off
Help pls this aint physics.
Answer:
Human beings can see "visible" light.
Visible light is considered to be between 4000-7000 Angstroms or
400-700 millimicrons
1 Angstron = 1E-10 m
1 Millimicron = 10 Angstroms
Which of the following is not an EM wave?
A. Microwave
B. Visible light
C. X-rays
D. Sound
Answer:
D. Sound
Explanation:
Waves: one of the ways that energy may be transferred. Waves can be described as oscillations.
Electromagnetic (EM) waves are transverse waves.
EM waves can be separated into seven groups in the spectrum. From long wavelength to short wavelength:
Radio wavesMicrowavesInfraredVisible lightUltravioletX-raysGamma raysSound waves are longitudinal waves.
The direction of oscillations is different between longitudinal and transverse waves:
Longitudinal waves: the vibrations are parallel to the direction of wave travel. Transverse waves: the vibrations are at right angles to the direction of wave travel.Answer:
Sound
Explanation:
EN waves are known as electromagnetic waves
They can be identified from the electromagnetic spectrumThey are divided into seven parts
MicrowavesRadiowavesVisible lightX-raysUV raysGamma raysInfraredWe can only watch Visible light not others .
Sound is not transverse wave
Consider the previous question. which has the greater acceleration: the bug or the windshield?
The bug has the greater acceleration because it has the smaller mass
The bug has a greater change in velocity (acceleration) due to experiencing equal force as a much smaller mass.
What is Acceleration ?The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration.Learn more about Acceleration here:
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If a car driving down the road doubles its speed what happens to its kinetic energy?
Answer:
Kinetic energy doubles
Select all the correct answers. a leaf falls through the air, floating as it falls. air resistance is visibly affecting the leaf. which two properties of the leaf are allowing it to be affected by air resistance? acceleration due to gravity initial distance from the ground mass surface area
Surface area and Mass
When a leaf falls, it is being accelerated by gravity to the ground but opposed by air resistance also the drag. The net force on a leaf will therefore be calculated by subtracting its weight of the leaf from its drag.
What is Air resistance ?Air exerts a force known as air resistance. When an object is travelling through the air, the force works in the opposite direction.
While a sports vehicle with a streamlined design will encounter reduced air resistance and experience less drag, the automobile will be able to move more quickly than a truck with a flat front.The speed, area, and shape of the object passing through the air all affect air resistance. Air density and resistance are affected by altitude, temperature, and humidity. The resistance increases with speed and area, respectively.Learn more about Air resistance here:
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HELP PLS I WILL MARK U BRAINLIEST!!
Answer:
D
Explanation:
I would say much too small as there is a significant portion of the plant that is UNDER water.....
( Really depends on how deep the water is...if it is shallow water it would be just a little too small)
Are there components of the velocity that are not determined by the measurement of the force?.
Are there components of the velocity that are not determined by the measurement of the force?. Yes
What are components of velocity?
Due to the possibility of velocities pointing diagonally, two-dimensional motion is more complicated than one-dimensional motion. A baseball, for instance, could be going diagonally while also moving both horizontally and vertically. To make our calculations simpler, we divide the velocity vector of the baseball into two independent horizontal start subscript and end subscript directions.
It is challenging to attempt to solve for both the horizontal and vertical directions of a baseball in a single equation; it is preferable to use a divide-and-conquer strategy.
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What are the two types of precession?
A. Equinox and Solstice
B. Axial and Perihelion
C. Period and Area
D. Perihelion and Aphelion
Answer:
correct answer is D
Explanation:
answer is perihelion and aphelion
Help on this physics question
By using the equations for parabolic motion, we proceed to present the answers for the paragraph seen in the picture: a) t ≈ 0.553 s, b) s = 2.212 m, c) s = 11.060 m.
How to analyze a system on parabolic motion
A system is on parabolic motion if such system can be represented as a particle, that is, a system whose geometry is negligible, and its motion is a combination of horizontal movement at constant velocity and vertical uniformly accelerated movement due to gravity and all viscous and rotational effects are negligible.
The time required for the droplet to reach the ground is:
1.5 m = (1 / 2) · (9.807 m / s²) · t²
t = √[2 · (1.5 m) / (9.807 m / s²)]
t ≈ 0.553 s
And the horizontal distance traveled by the droplet is:
s = (4 m / s) · (0.553 s)
s = 2.212 m
Now, we apply the same procedure for the case of sneezing person:
1.5 m = (1 / 2) · (9.807 m / s²) · t²
t = √[2 · (1.5 m) / (9.807 m / s²)]
t ≈ 0.553 s
s = (20 m / s) · (0.553 s)
s = 11.060 m
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What are the factor affecting the moment of force
Answer:
distance and the amount of the force
Explanation:
moment = f x d
Select all the correct answers. which three forms of light are invisible light? blue light infrared rays radio waves red light x-rays
Infrared rays, radio waves, and x-rays are the three kinds of light that are invisible to human vision.
What is a visible spectrum?The region of the electromagnetic spectrum that the human eye can see is known as the visible light spectrum. This group of wavelengths is most commonly referred to as visible light. The range of wavelengths that the human eye can typically see is from 380 to 700 nanometers.
Example of visible spectrum is visible light.
Examples of invisible light are;
Infrared raysRadio wavesx - raysThus, the three forms of light that are invisible light or invisible to human eyes are Infrared rays, Radio waves and x - rays.
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Find the first three harmonics of a string of linear mass density 2. 00 g/m and length 0. 600 m when the tension in it is 50. 0 n.
The first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.
Velocity of the wave
The velocity of the wave is calculated as follows;
v = √T/μ
where;
T is tensionμ is mass per unit length = 2 g/m = 0.002 kg/mv = √(50/0.002)
v = 158.1 m/s
First harmonic or fundamental frequency of the wavef₀ = v/λ
where;
λ is the wavelength = 2Lf₀ = v/2L
f₀ = 158.1/(2 x 0.6)
f₀ = 131.8 Hz
Second harmonic of the wavef₁ = 2f₀
f₁ = 2(131.8 Hz)
f₁ = 263.6 Hz
Third harmonic of the wavef₂ = 3f₀
f₂ = 3(131.8 Hz)
f₂ = 395.4 Hz
Thus, the first three harmonics of the string are 131.8 Hz, 263.6 Hz and 395.4 Hz.
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What is (a) the wavenumber and (b) the wavelength of the radiation used by an fm radio transmitter broadcasting at 92. 0 mhz?
The wavenumber and (b) the wavelength of the radiation used by an fm radio transmitter broadcasting at 92. 0 mhz will be 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex] and 0.032 * [tex]10^{2}[/tex] m respectively
Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength.
Wavenumber, also called wave number, a unit of frequency, often used in atomic, molecular, and nuclear spectroscopy, equal to the true frequency divided by the speed of the wave and thus equal to the number of waves in a unit distance.
wavelength = ?
frequency = 92 m Hz = 92 * [tex]10^{6}[/tex] Hz
speed of light = 3 * [tex]10^{8}[/tex] m/s
speed of light = frequency * wavelength
wavelength = speed of light / frequency
= 3 * [tex]10^{8}[/tex] / 92 * [tex]10^{6}[/tex]
= 0.032 * [tex]10^{2}[/tex] m
wavenumber = 1 / wavelength
= 1 / 0.032 * [tex]10^{2}[/tex] m
= 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex]
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What is the relationship between acceleration and time a(t) for the model rocket (v(t)=αt3 βt γ, where α=−3. 0m/s4, β=36m/s2, and γ=1. 0m/s)?
The relationship between acceleration and time a(t) for the model rocket v(t)=αt³ + βt + γ, where α=−3. 0m/s4, β=36m/s2, and γ=1. 0m/s is a(t) = -9t² + 36 m/s²
The differentiation of velocity with respect to time gives acceleration.
Velocity of a rocket model is the speed acquired of the body in a particular direction.
Acceleration of the body is the change in velocity with respect to time.
v(t)=αt³ + βt + γ
On differentiating,
a = 3αt² + β
Given, α=−3. 0m/s⁴
β=36m/s²
γ=1. 0m/s
On subsituting,
a = 3(-3)t² + 36 m/s²
Hence, relationship between acceleration and time a(t) = -9t² + 36 m/s²
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Select the correct answer. which object has the least amount of kinetic energy? a. a car driving down a road b. a soccer ball rolling down a hill c. a bicycle locked to a bike rack d. a satellite orbiting earth
Answer:
c. a bicycle locked to a bike rack
Answer: Option (C). A bicycle locked to a bike rack.
When current flow tries to decrease in an inductor, the magnetic field ________ and the voltage polarity across the inductor ________.
When current flow tries to decrease in an inductor, the magnetic field collapses and the voltage polarity across the inductor reverses
The associated magnetic flux also decreases, it then induces an e m f across the inductor, the sense of which is to assist the decreasing current.
Faraday's law of induction (to distinguish it from his laws of electrolysis), states that the magnitude of the emf induced in a circuit is proportional to the rate of change with time t of the magnetic flux Φ that cuts across the circuit:
emf = −dΦ/dt
Lenz's law, in electromagnetism, statement that an induced electric current flows in a direction such that the current opposes the change that induced it.
When the current flowing through the coil changes, the time-varying magnetic field induces an electromotive force (e.m.f) in the conductor, described by Faraday's law of induction.
According to Lenz's law, the induced voltage has a polarity (direction) which opposes the change in current that created it. As a result, inductors oppose any changes in current through them. Hence , polarity across the inductor got reversed
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The air pressure within a container is inversely related to the volume of the container. thus, as the volume of the container ______, the pressure of the air within it _
Decreases, increases
As the volume of the container decreases, the pressure of the air within it increases.
When the temperature is held constant, pressure decreases as volume increases and vice versa.
What is the relation between pressure and volume ?The amount of force delivered perpendicularly to an object's surface in relation to its area is known as pressure. Its abbreviation is "p" or "P."
Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.When T and n are constants, the relationship between a gas's pressure and volume is inverse. The volume V decreases as the pressure P rises. As long as T and n stay constant, the product P x V is constant.Learn more about Pressure and Volume here:
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Which prompting system involves providing a prompt with a 0 second delay and never increasing that delay?
Simultaneous prompting method involves providing a prompt with a 0 second delay and never increasing that delay.
The simultaneous prompting method is a technique created to reduce errors. It entails using a controlling prompt (i.e., one that causes the learner to give the right answer every time) right away after the instruction.
As a result, the learner never makes a mistake and always has access to reinforcement. It is a teaching strategy without flaws. To avoid or minimise errors, this prompt is always given with a zero-second delay or right away after the target stimulus (cue). Prior to training sessions, probe sessions are used to evaluate skill mastery.
Therefore, Simultaneous prompting method involves providing a prompt with a 0 second delay and never increasing that delay.
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A mass m is attached to an ideal massless spring with spring constant k. In experiment 1 the mass oscillates with amplitude a, and period t. A student grabs the mass and brings it to rest before starting experiment 2. In experiment 2, the mass is set to oscillate with a larger amplitude of 3a. What is the period of the oscillation in experiment 2?.
Time period remains the same in both the experiment as change in amplitude does not affect time period.
What are the factors on which time period depends in SHM?
Time period is given by:
[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]
where,
T = time period
m = mass
k = spring constant
In a straightforward harmonic motion, we see from the preceding formula that the time period depends only on the object's mass and spring constant (SHM). The time period will adjust to any variations in the object's mass or the spring constant.
What is Spring Constant?
A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces. In other words, it characterises a spring's stiffness and the extent of its range of motion.
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If a spaceship approaches you at 0. 5c, and a light on the spaceship is turned on pointing in your direction, how fast will the light be traveling when it reaches you?
The light will be travelling at its own speed 300,000 km/s which is the speed of the light.
Speed of light:One universal physical constant that is significant in many branches of physics is the speed of light in a vacuum, typically abbreviated as c. Its precise value is 299792458 meters per second or roughly 300000 kilometers per hour or 186000 miles per hour. The maximum speed at which common matter, energy, or any signal carrying information may move through space is c, according to the special theory of relativity.
Similar to how electromagnetic waves in wire cables move more slowly than c, light moves more slowly through transparent materials like glass or air. The refractive index n of a substance (n = c/v) is the ratio between c and the speed v at which light moves through it.
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Why do the lighter isotopes disappear first from the atmosphere? Where do those isotopes go?
Lighter molecules move fast and escape from the upper atmosphere relatively quickly.
To find the answer, we have to know more about the lighter isotopes.
What are lighter isotopes?Lighter molecules are mobile and soon leave the higher atmosphere.A particular element's stable isotopes have slightly different atomic masses and quantum mechanical energies.The lighter isotope of an element's chemical bonds are more easily broken than the heavier isotope's. As a result, the light isotope typically benefits from chemical reactions.Thus, we can conclude that, lighter molecules move fast and escape from the upper atmosphere relatively quickly.
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The ____ rate, measured in kilohertz (khz), refers to the amount of samples obtained per second during the conversion from analog to digital sound.
Sampling rate
Kilohertz, abbreviated as kHz, is a unit of frequency, or cycles per second.
This statistic in digital audio refers to the number of data chunks required each second to digitally represent an analogue sound. The sample rate or sampling frequency refers to these data units.
What is Sampling rate ?The sample rate is the number of sound samples that are taken per second to represent an event digitally while creating audio for computers or telecommunication.
The digital representation of the sound can be more accurate the more samples captured per second.The ideal sample rate to choose is 44.1 kHz for the majority of music applications. When producing music or other audio for video, 48 kHz is typical.Learn more about Sampling rate here:
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What is the maximum speed you can be traveling to stop before hitting a child that runs into the street 60-65 feet ahead of your car
The fastest you could slow down before hitting a youngster who rushed into the road 60 to 65 feet in front of your car is 20 mph.
(Perception/Reaction Distance)
Speed 30 mph 40 mph 50 mph 60 mph 70 mph 80 mph
Distance 44 feet 59 feet 73 feet 88 feet 103 feet 117 feet
Braking Distance 45 feet 80 feet 125 feet 180 feet 245 feet 320 feet
Overall Stopping Distance 89 feet 139 feet 198 feet 268 feet 348 feet 439 feet
Equal to Approximate Number of Car Lengths 6 9 14 18 23 29
Take note that your total stopping distance triples when you double your speed, say from 30 mph to 60 mph or 40 mph to 80 mph.
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You could only brake down to 20 mph before hitting a child who dashed into the road 60 to 65 feet in front of your vehicle.
(Perception/Reaction Distance)
Speed 30, 40, 50, 60, 70, and 80 mph
Distance Braking Distance: 45 feet 80 feet 125 feet 180 feet 245 feet 320 feet 44 feet 59 feet 73 feet 88 feet 103 feet 117 feet
The total stopping distance is about equal to the number of car lengths: 89 feet, 139 feet, 198 feet, 268 feet, 348 feet, and 439 feet. 6 9 14 18 23 29
Be aware that as you double your speed, such as from 30 mph to 60 mph or 40 mph to 80 mph, your total stopping distance triples.
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An electric device delivers a current of 5. 0 a for 10 seconds. how many electrons flow through this device?
An electric device delivers a current of 5.0 A for 10 seconds then the number of electrons flowing through this device would be 3.125ₓ10²⁰
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge (commonly carried by protons and electrons respectively). Unlike charges attract one another while like charges repel one another. We refer to an object as neutral if it has no net charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
where I is the current flowing
Q is the total electric charge
T is the time period for which the current is flowing
By using the above relation between electric current and electric charge
I =Q/T
By substituting the values of current and time
5 =Q/10
Q= 50 Coulomb
The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.
The number of electrons = Total charge /charge on the one electron
=50/1.6×10⁻¹⁹
=3.125ₓ10²⁰
Thus, the total number of electrons flowing through the device would be 3.125ₓ10²⁰.
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How does the value of gravitational
acceleration change when the distance
from the centre of the Earth increases?
Explanation:
according to my understanding, the value of gravitational acceleration changes because;different planets have different gravitational pull.
for example you may ask yourself why is it that the gravitational acceleration is not the same on earth and the moon.
this is because the gravitational force acting on an object on earth is greater than the gravitational force acting on an object and the Moon .
You know the moon is located in the space and one can fly, stand,dance etc.
all because the gravitational acceleration is low.
as for me when the distance from the centre of the Earth increases,
the gravitational acceleration decreases.
A good example is given by the moon.
The moon is miles away from the Earth and its gravitational acceleration is quite low .hope you got me.
The density of silver is 10. 5 g/cm 3. a piece of silver with a mass of 61. 3 g would occupy a volume of __________ cm 3
_______________
ρ=10,5 g/cm³
m=61,3 g
_______________
V - ?
_______________
[tex]\displaystyle \boldsymbol{V}=\frac{m}{\rho} =\frac{61,3 \; g}{10,5\; \frac{g}{cm^3} } \approx \boldsymbol{5,84 \; cm^3}[/tex]
What is meant by a "chain reaction"?
