When uniform magnetic field is applied perpendicular to the plane of a 60-turn circular coil with radius of 6.0 cm, then magnitude of induced EMF,∣ε∣ is calculated to be =5.425 V.
What is magnetic flux?Magnetic flux is directly proportional to magnetic field and area of the flux that passes through it. Area remains same as the magnetic flux increases by increasing the magnetic field.
ϕ=BAcosθ
As the surface is perpendicular to the field then angle is zero.
So, ϕ=BA
The change in magnetic flux is,
dФ/dt= A (dB/dt)
Here, A is area and is constant.
Area of the circular coil is πr²
The change in magnetic flux:
dФ/dt= πr²(dB/dt)
Here, r is the radius.
Given magnetic field increases from 0.20 T to 1.8 T in 0.20 s.
dФ/dt= π6²* ( 1.8-0.8)/0.2
= 0.090 T/s
EMF, ε=−Ndϕ /dt
As dϕ /dt = 0.090432T/s
Now, ε=−(60)(0.090432T/s)
ε =5.425 V
Magnitude of induced EMF,
∣ε∣=5.425 V
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Which statement about solar energy is FALSE?
A) Many areas are not sunny enough for solar energy.
B) Users of solar energy need a backup energy source.
C) Solar energy technology is now cheaper than conventional energy.
D) Once installed, solar energy produces no air pollution.
E) Solar energy works only during the day.
C) Solar energy technology is now cheaper than conventional energy.
What is Solar energy ?
Solar energy is the heat and radiant light from the Sun that may be captured and utilized to produce electricity and solar thermal energy, respectively (which is used for applications such as water heating).
Solar energy is a source of energy that hasn't traditionally been used and is still being used today. It is therefore an unconventional source of energy. It is a renewable source of energy because it is limitless and unending.
According to Guggenheim analysts lead by Shahriar Pourreza, utility-scale solar is currently roughly a third less expensive than gas-fired power, while onshore wind is approximately 44% less expensive.
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the index of refraction of the oil is 1.20. what is the minimum thickness t of the oil slick at that spot?
The minimum thickness of the oil slick at that spot is 313 nm.
The refractive index of the oil is 1.3,
the light from the air-oil interface will have a stage change of the light for the oil-water interface will have a stage change of .Therefore, the interface between the two rays will give two stage change or zero stage change.
The position for the constructive interface :
[tex]2 n t=m \lambda[/tex]
Where, n = refractive index of oil
m = order
So, for the minimum thickness (i.e. m = 1)
[tex]t_{\min }=\frac{\lambda}{2 n}[/tex]
[tex]t_{\min }=\frac{750}{2 \times 1.2}[/tex]
[tex]t_{\min }=313 \mathrm{~nm}[/tex]
What is The refractive index?
A primal physical property of a substance, it is usually used to identify a particular substance, confirm its chastity, or scale its concentration is called refractive index.
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if you are viewing an object with a 7 diopter lens and a 10 diopter lens, which one has to be held closer to a piece of paper when focusing a distant object? group of answer choices the 10 diopter lens the 7 diopter lens both have the same focal length neither one will focus an image.
The 10 diopter lens to be held closer to a piece of paper when focusing a distant object and diopter is unit of power of accomodation.
Two roughly fitting curved surfaces ground together will eventually become spherical spheres don’t bring parallel rays to a point this is called spherical aberration nearly axial rays (paraxial rays).
Two types of lens Convex and concave. Convex lenses make real images, concave make virtual images,the power of a lens (in diopters) is 1 over its focal length.
Implication of the gaussian formula is that when combining two lenses, add their power, adding a closeup filter allows a smaller object distance, changing object and image distances changes magnification.
lenses perform a 3D perspective transform of object space an object’s apparent size is inversely proportional to its distance linear lens motions move the in-focus plane non-linearly, focusing a lens changes the image size (slightly).
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Drag the tiles to the correct boxes to complete the pairs.
Match the descriptions to the processes.
Ice cream starts dripping down the sides of an ice cream cone.
Fog is created by using dry ice.
Frost forms on trees on a very cold day.
The mirror gets fogged up when you breathe on it.
Your wet hair dries after a few minutes.
Liquid glass cools and hardens.
Answer:
Please send a picture for context and I will be able to answer the question.
Explanation:
Without the picture I do not understand.
look at this image and place boxes in correct order
The steps of cycle of density of current :
1)Top layer of the ocean freeze , releasing salt
2) Warm less dense water flows towards the pole
3) Salty cold water sinks to the bottom of the ocean
4) Warmer water rises and mixes with less salty water
5) At the equator solar energy warms the water
What is meant by density of current ?Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.
The measurement of the flow of electric charge through the cross-unit section's area in a certain amount of time. A vector quantity is the current density. It has magnitude and direction, thus. A/m2 is the S.I unit for current density, and it is represented by the letter J.
The amount of electric current passing through a material per unit of its cross-sectional area is known as its current density. Ampere/meter2 must be the SI unit for current density.
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the boeing 787 dreamliner airplane is designed to fly at 487 knots at a cruising altitude of 43,000 ft. a. calculate the flight mach number in those conditions. (1 point) b. if the pilot wanted to fly at the same flight mach number 2,200 ft above sea level what would the corresponding flight velocity be (in knots)? (1 point) c. what is the flight mach number in a standard 150 knots-speed approach to landing at los angeles international airport (lax)?
If the pilot wanted to fly at the same flight mach number 2,200 ft above sea level then the corresponding flight velocity is 296.285 m/sec.
Velocity v is a vector, with units of meters per second. Velocity indicates the rate of change of the object’s position i.e., velocity tells you how fast the object’s position is changing. The magnitude of the velocity indicates the object’s speed.
The direction of the velocity indicates the object’s direction of motion. The velocity at any point is always tangent to the object’s path at that point.
Thus, the velocity tells you how the object is moving. In particular, the velocity tells you which way and how fast the object is moving.
Given,
V = 484 Knote
V = 250.534 m/sec
Alitude = 43000+1 = Altitude =13.106 km
T= -54.59°C.
a)T= 218 48K.
then
C =[tex]\sqrt{KRT}[/tex]--------(1)
Substituting valves in (1)
C=[tex]\sqrt{K*284*218.43}[/tex]
C = 296.285 m/sec
then
M= V/c 250.534/296.285
M= 0.8455
b)V=140 knote
v = 72.02 m/s.
P = DRT
T = P/DR--------(2)
substituting all values in (2)
T = 101. 395 kpa/1.2 x 0.284
T = 101.395/ 0.3444
T = 294.207K
then,
c=343.82 m/s
m=v/c
m= 72.02/343.822
m= 0.2094
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what is the pressure exerted on the ground by a 5-kg box that has a width of 5 m and a length of 10 m?
The pressure exerted on the ground by the box of mass 5 kg is 0.98 N/m².
What is pressure:Pressure is defined to be the amount of force exerted per area acting on the surface of a body.
To calculate the preesure exerted on the ground, we use the formula below.
Formula:
P = mg/lw............... Equation 1Where:
P = Pressure exerted on the groundm = Mass of the boxg = Acceleration due to gravityl = Length of the boxw = Width of boxFrom the question,
Given:
m = 5 kgg = 9.8 m/s²l = 10 mw = 5 mSubstitute these values into equation 1
P = (5×9.8)/(5×10)P = 49/50P = 0.98 N/m²Hence, the pressure exerted on the ground is 0.98 N/m².
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two slits spaced 0.260 mmmm apart are 0.990 mm from a screen and illuminated by coherent light of wavelength 650 nmnm. the intensity at the center of the central maximum (θ=0∘)(θ=0∘) is i0i0.
Young's experiment is used to find the distance of n'th number dark fringe from the central fringe of screen.
(a)The distance on the screen from the center of the central maximum to the first minimum is 0.88 mm.
(b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] is [tex]$0.44 \mathrm{~mm}$[/tex].
What is young's experiment?
Young's experiment is used to find the distance of n'th number dark fringe from the central fringe of screen.
It can be find out with the following formula given as,
[tex]$$y_n=\frac{(2 n-1) D \lambda}{2 d}$$[/tex]
Here, [tex]$\lambda$[/tex] is the wavelength of the light and D is the distance of the screen to the slits.
- (a)The distance on the screen from the center of the central maximum to the first minimum-
Use the above formula for the first minimum as,
[tex]$$\begin{aligned}y_1 & =\frac{(2(1)-1) 0.7 \times 660 \times 10^{-9}}{2 \times 0.26 \times 10^{-3}} \\y_1 & =0.88 \mathrm{~mm}\end{aligned}$$[/tex]
Thus, the distance on the screen from the center of the central maximum to the first minimum is [tex]$0.88 \mathrm{~mm}$[/tex].
(b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] -
As the intensity has fallen to the [tex]$I_0 / 2$[/tex], thus the value of path difference will become equal to the [tex]$\pi / 2$[/tex].
The above formula for this path difference can be written as,
[tex]$$\begin{aligned}y & =\frac{(2 \times 1) D}{2 d} \times \frac{\lambda}{2 \pi} \times \frac{\pi}{2} \\y & =\frac{(0.7}{0.260 \times 10^{-3}} \times \frac{660 \times 10^{-9}}{2 \pi} \times \frac{\pi}{2} \\y & =0.44 \mathrm{~nm}\end{aligned}$$[/tex]
Thus, the distance on the screen from the center of the central maximum [tex]$0.44 \mathrm{~mm}$[/tex].
Hence,
- (a)The distance on the screen from the center of the central maximum to the first minimum is [tex]$0.88 \mathrm{~mm}$[/tex].
- (b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] is [tex]$\mathbf{0 . 4 4} \mathrm{mm}$[/tex].
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An acceleration in the positive direction always means that a moving object is speeding up.
True
False
True, A moving object is constantly speeding up when there is an acceleration in the positive direction.
Our principle states that as an item slows down, the acceleration is going in the opposite direction of the velocity. This object, therefore, has a negative acceleration. The object has a negative velocity and is traveling in the opposite direction as it accelerates.
The rate at which a moving object's speed and direction change over time is known as its acceleration. When anything moves faster or slower, it is said to be moving faster in a straight line. Motion in a circle accelerates even at a constant speed because the direction is continuously changing. The acceleration of all other motions is influenced by both effects.
Due to its magnitude and direction, acceleration is a vector quantity. Speed is another vector quantity. The definition of acceleration is the velocity vector change during a period of time divided by the period of time. The instantaneous acceleration is based on the maximal ratio of the change in velocity (at a specific time and place).
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at the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s2. at that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car. (a.) calculate the time necessary for the car to reach the truck. (b.) calculate the distance beyond the traffic light that the car will pass the truck. (c.) determine the speed of the car when it passes the truck.
a) time, t = 11.407 s, b) distance x = 175.66 m, v = c) speed v = 30.80 m / s
Explanation of question:a) This is kinematics exercise, write the equation of each vehicle car is;-
x = x₀ + v₀ t + ½ a t²
Let's fix our the reference system at a point where the car indicate that the car stops from rest is vo = 0.
x₀ = v₀ = 0
we substitutex = ½ a t²
truck
x₂= v₀ t
v₀ = 15.4 m / s
At the point where they are, positions are equal:-
½ a t² = vo t
t = 2 vo / a
calculate us
t = 2 15.4 / 2.
t = 11.407 s
b) the distance to reach it
x = ½ to t²
x = ½ 20 11.407²
x = 175.66 m
c) the speed of the car is
v = vo + a t
vo = 0
v = at
v = 2.0 11.407
v = 30.80 m / s
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one side of a design is reflected exactly across a central axis, mirroring the other. under which of the following categories does this example fall? a. formal symmetry b. near symmetry c. perfect symmetry d. radial symmetry
The main symmetry types are as follows. When all objects are mirrored about a central axis, reflection symmetry—also known as bilateral symmetry—occurs.
What do symmetrical balance examples look like?The symmetrical equilibrium found in nature is well represented by the human face. You would have two sides of your face with the exact identical pattern if you drew a line down the middle of it.
What does asymmetry represent in terms of art?Asymmetrical balance is when a design appears balanced while having contrasting visual representations on either side. A design must have differential visual weight on either side in order to be deemed asymmetrical, yet those unequal visuals must balance one another.
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In a transformer, there is a primary voltage of 130V and a secondary voltage of 50V. If there are 5 turns in the secondary coils, how many turns are in the primary coils?
13
2
900
36
The number of turns in the secondary coil of the transformer is 13.
What is a transformer?A transformer is a device that transfers electric energy from one alternating-current circuit to one or more other circuits, either increasing (stepping up) or reducing (stepping down) the voltage.
To calculate the numeber of turns in the primary coil of the transformer, we use the formula below.
Formula:
N/N' = V/V'................. Equation 1Where:
N = Number of turns in the primary coil of the transformerN' = Number of turns in the secondary coil of the transformerV = Primary voltageV' = Secondary voltageFrom the question,
Given:
N' = 5 turnsV' = 50 VV = 130 VSubstitute these values into equation 1nad solve for N
N/5 = 130/50N = 130×5/50N = 13 turnsHence, the number of turns is 13.
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Two balls collide head-on on a table. The first ball has a mass of 0. 50 kg and an initial velocity of 12. 0 m/s. The second ball has a mass of 0. 75 kg and an initial velocity of -16. 0 m/s. After the collision, the first ball travels at a velocity of -21. 6 m/s. What is the velocity of the second ball after the collision? assume a perfectly elastic collision and no friction between the balls and the table.
The velocity of the second ball after the collision is 2.8m/sec if both first and second ball collide head-on a table.
We are given that there is no role of friction and collision is perfectly elastic, it means momentum conservation is possible.
Since, all collision is happening along a single axis. So, we assume all collision is happening in x-axis.
Now, we need to conserve momentum along x-axis which states that initial momentum of the system is equal to final momentum of the system.
Now, we know that momentum is given by the product of mass and velocity.
So, initial momentum of the first ball is =0.50×12=6.00kg-m/sec
initial momentum of the second ball is=0.75×(-16.0)= -12.00kg-m/sec
Final momentum of first ball is =0.50 × (-21.6)m/sec = -10.8kg-m/sec
Final momentum of second ball =0.75×vkg-m/sec
Therefore, 6+(-12) = (-10.8) +(0.75v)
=> -6 =-10.8+0.75v
=>0.75v=10.8-6
=>0.75v=4.8
=>v=4.8/0.75
=>v=2.8m/sec
Hence, velocity of second ball is 2.8m/sec.
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An object is moving with constant velocity v.
Which situation is impossible in such a
circumstance?
1. Three forces act on the object.
2. Two forces act on the object
3. No forces act on the object
4. one force acts on the object
5. Four forces act on the object
Answer:
One force acts on the object
A situation is impossible in such a circumstance - one force acts on the object. Because when the object is moving at constant velocity it means net force is zero. If one force acts on the object, net force is always not a zero. All the other combinations (no forces, two forces, three forces … )could give a resultant force equal zero
a 2-kg block rests on a wall that is 3 m tall. what is the gravitational potential energy of the block? the force of gravity on earth (g) is equal to 9.8 m/s2. a. 3 joules b. 6 joules c. 29.4 joules d. 58.8 joules
Gravitational potential energy of block is 58.8 joules.
What is Gravitational energy?It is the potential energy which a massive object has in relation to another object due to gravitational force.It is the potential energy associated with gravitational field which releases when objects fall towards each other.It increases when two objects are brought far apart.
It is calculated by the formula,
PE=mgh
where m=masses of particle
R= distance between 2 objects
G= gravitational constant
In the given problem,formula PE=mgh is used.
mass=2 kg
g=9.8m/s²
h= 3 m
Substituting values in equation
PE=2×9.8×3=58.8 J
It is the energy which is stored in the object due to its height above the ground.It depends on mass and height of body.
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two skaters, one with mass 75 kg and the other with mass 50 kg, stand on an ice rink holding a pole of length 15 m and negligible mass. starting from the ends of the pole, the skaters pull themselves along the pole until they meet. how far does the 50 kg skater move?
50 kg skater will move 42 m to the ends of the pole starting from ice rink holding pole of length 15 m.
The mass taking into consideration all possible limitations for take-off including restrictions caused by Regulated Take-Off Mass and Regulated Landing Mass.
The load (or Mass) distributed over a defined area. Units of measurement used: SI: N/m2, kg/m2, Non-SI: psi, lb/ft2
The mass of an aircraft plus standard items such as unusable fuel, full operating fluids, fire extinguishers; emergency oxygen equipment.
Given,
Mass of skater one = 75Kg
Mass of skater two = 50Kg
Distance = 15m.
Assuming the system centre if mass does not change, both skaters would meet at the centre of the mass
let the 50kg skater be xm away from the centre, then, the 75kg skater would be (14 - x)m away from the centre too
m1x + m2(14 - x) = 0
m1x + 14m2 - m2x = 0
50x + 14*75 - 75x = 0
50x - 75x + 1050 = 0
-25x + 1050 = 0
25x = 1050
x = 42 m
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g what is the decibel level of a sound that is seven times as intense as a 65.7 db sound? db (b) what is the decibel level of a sound that is one-fourth as intense as a 65.7 db sound?
The decibel level of sound for intense of seven times and one fourth is 2.98 and 0.74 dB level.
We use a unit of measurement called the decibel (dB) to measure the noise level of various sounds. Represents the intensity of the sound. We use hertz (Hz) to measure the frequency of sound.Every time the decibel level of a sound increases by 10, its intensity is multiplied by 10. However, the decibel scale is logarithmic, not linear. Therefore, a sound of 10 dB is 10 times more intense than a sound of 0 dB, a sound of 20 dB is 100 times more intense, and a sound of 30 dB is 1000 times more intense.ds=65.7 dl
=65.7/22=2.98
We use the decibel scale to determine how loud sounds are and whether they are safe or harmful to human hearing. The range of sounds measured on the decibel scale is from 0 dB (the quietest sound) to 140 dB i.e. the pain threshold.ds'=2.98/4=0.74
Sounds above 85 dB are considered dangerous to human hearing by specialized organizations such as NIOSH (US National Institute for Occupational Safety and Health). This means that sounds above this level can result in hearing damage or hearing loss depending on the length of your exposure.To learn more about noise level -
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6) if the wavelength of a photon in a vacuum is the same as the de broglie wavelength of an electron, which one travels faster through space? a) the electron because it has more mass. b) the photon because photons always travel through space faster than electrons. c) they both have the same speed.
(b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.
What is Photon?A photon is a discrete bundle (or quantum) of electromagnetic energy, often known as light energy. Photons have no mass, thus they move at the same rate as light (3 108 m/s). Each photon possesses the speed of light, or c, momentum (p = h v/c), energy (E = h), and momentum (p = h). Due to their electrical neutrality, photons are not affected by magnetic or electric fields. Radiation absorption or emission can result in the creation or destruction of photons.
What is Electron?The smallest elemental component of an atom, the electron has a negative charge. In a neutral atom, there are an equal number of protons and electrons. One electron and one proton are all that the hydrogen atom has.
Hence, (b) the photon because photons always travel through space faster than electrons. It depends on the relative mass of the electron and photon. In Bohr's model of atoms, the orbits where electrons move fastest have the lowest energy.
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QUESTION 13 B.F. Skinner was known for training animals in operant conditioning. True False QUESTION 14 Media violence and aggressive video games decrease viewers' level of emotional arousal. True False QUESTION 15 Consider a child who is burned by touching a hot stove. The sight of the stove may evoke fear, and because hearing the word stove may evoke a mental image of the stove, just hearing the word may evoke fear. The child shows discrimination towards the hot stove. True False
13) Skinner was known for training animals in operant conditioning is False 14) Media violence and aggressive video games decrease viewers' level of emotional arousal is True, 15) The child shows discrimination towards the hot stove is False.
B. F. Skinner did use animals especially rats in his experiments but he was not interested in training them. He was interested in analysing behaviour and said that behaviour that is followed by pleasant consequences will likely be repeated and behaviour followed by unpleasant consequences is less likely to be repeated. This was called Law of Effect-Reinforcement by him i.e., the behaviour which is reinforced tends to be repeated and the behaviour which is not reinforced tends to die out. Watching violence through media or video games will arouse aggressive thoughts of person but are likely to decrease emotional empathy of the viewers for victims. Arousal of agressive thoughts need not necessarily be normal emotional arousal. This is actually called higher order conditioning. In this situation, a previously neutral stimulus becomes a conditioned stimulus after being compared repeatedly with a learned stimulus. On the other hand, discrimination is a tendency of an individual to differentiate between a conditioned stimulus and a similar stimulus, that won't result in unconditioned stimulus.
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a current-carrying coil of wire is * 1 point a) a superconductor. b) a superconducting magnet. c) an electromagnet d) a generator
The right response is B. a magnet with superconductivity. A superconducting magnet is a wire coil that is transporting current.
How would you characterize electric current?When describing how so much electricity flows through a wire and the way it flows in an electrical circuits, the term "electric current" is often employed.Amperes are used to measure it (A).The ampere number rises as more electricity flows through the circuit.
What is the current recipe?Image outcome The letter I is typically used to represent current. According to Ohm's equation, V = IR, the given flow through a conductor is dependent on the voltage V & resistance R. I = V/R is an alternate formulation of Ohm's law.
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if you stare at a red x and then shift your eyes to a white surface, what happens to the image of the x?
If you stare at a red object and immediately look at a white area afterward, you will see an afterimage that is the same size and shape, but it is blue-green, or cyan, in color. '
This is known as the opponent process theory
State the opponent process theory?The opponent process theory of color vision says that color is processed in pairs (red-green, yellow-blue, and black-white.)
It means that Light that stimulates one half of the pair inhibits the other half.
In conclusion, this opponent process is thought to be responsible for our perception of color and explains why people experience afterimages.
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which term describes the process that continually moves water from the ground to the atmosphere and back?
The word "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
Explain the term water cycle?The hydrologic cycle, another name for the water cycle, describes where and how water is kept on Earth.
With in atmosphere, on the surface of the land, and underground, water is kept in reserve. It could be a gas, a liquid, or a solid. Either fresh or salt water can be a liquid (salty).Water flows between its storage locations. It flows on both extremely tiny scales and very big scales (via watersheds, through atmosphere, and beneath the Earth's surface) Water flows both naturally and as a result of human activity. The motion of Earth's water is sustained by the gravity force and solar energy. The water cycle is impacted by human activity because it changes where water is.Thus, the term "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
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a car is driving straight toward a sheer vertical wall. the driver presses on the horn, which produces sound at 580 hz, and between the sound from the horn and the sound reflected from the wall, hears a beat frequency of 32 hz. how fast is the car moving, assuming that the speed of sound is 338 m/s?
The Speed of the car that has beat frequency is 23.1m/s.
A car is moving directly toward a vertical, sheer wall. The driver depresses the horn, which emits sound at a frequency of 580 Hz, and hears a beat frequency of 32 Hz between that beat frequency and the sound reflected off the wall.
The apparent shift in the frequency of the light that the observer perceives as a result of relative motion between the source of the light and the observer is known as the Doppler effect of light.
However, for sound waves, the equations for the Doppler shift vary significantly depending on whether the source, the observer, or the air is moving.
Light doesn't need a medium to travel, and the observer and source's relative speeds are the only factors that affect the Doppler shift for light traveling in a vacuum.
[tex]v=\frac{Vx}{Vx-Vy} f[/tex]
580 x 22/580-32=23.1m/s
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a wheel with a diameter of 44 cm is rotating as a constant speed with a and takes 0.68 seconds to complete each revolution. how many seconds does it take the wheel to turn through 110o?
The wheel will take 0.207 seconds to turn through 110°.
Wheel is a circular object that rotates on an axis and is fixed under a vehicle or other object so that it can move easily on the ground.
one complete revolution = 2[tex]\pi[/tex] radian
one revolution = 6.28 rad
1° = [tex]\pi[/tex] / 180 radians
110° = 110 * ([tex]\pi[/tex] / 180) radians
110° = 1.92 radians
The wheel take 0.68 seconds to cover 6.28 radians.
Time taken by the wheel to turn through 110° = Time taken to cover 1.92 radians.
Using unitary method,
Since 6.28 radians require 0.68 sec
1.92 radians will require 'x' sec
x = (0.68 * 1.92) / 6.28
x = 0.207 sec
0.207 seconds does it take the wheel to turn through 110°.
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tion below. a student and the waxed skis she is wearing have a combined weight of 850 newtons. the skier travels down a snow-covered hill and then glides to the east across a snow-covered, horizontal surface. 2. determine the magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface. 3. calculate the magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface. [show all work, including the equation and substitution with units.]
2. The magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface
Fn = 850N
Fg = Fn
3. The magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface
Ff = μ . Fn
= 0.05 (850)
= 42.5 N
In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull.
A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .
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2. The magnitude of the normal force exerted by the shown-covered, horizontal surface is
[tex]F_{g} = F_{N} = 850N[/tex]
3. The magnitude of the force of friction acting on the skis as the skier glides across the snow-covered, horizontal surface is
[tex]F_{f} = 42.5N[/tex]
A force is an external factor that can change the body's state of rest or motion. It has size and direction. The direction in which the force is applied is called the force direction, and the point at which the force is applied is called the force application point.
Frictional force is the force produced by two surfaces touching and sliding against each other. These forces are primarily affected by the surface finish and the amount of force required. The angle and position of the object affect the amount of frictional force.
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Find the dimensions [a] of acceleration.
Express your answer as powers of length ( l), mass ( m), and time ( t).
Hints
Hint 1. Equation for acceleration
In physics, acceleration a is defined as the change in velocity in a certain time. This is shown by the equation a=Δv/Δt. The Δ is a symbol that means "the change in.
The dimension of acceleration is given by, [tex]m^{0} l^{1} t^{-2}[/tex], where m, l, t stand for mass, length and time respectively.
What is Dimension of any physical quantity?A dimensional equation is created when a physical quantity is expressed as its dimensional formula. The basic numbers [L] for length, [M] for mass, and [T] for time are used to define dimensional formulas in these three dimensions.
The characteristics of a system are quantified using physical quantities. These physical quantities are given significance by the combination of a generally recognised unit and a numerical value. For instance, while describing a beam's length, we may state that it is 6 [numerical quantity] + meters [unit].
One crucial method for representing these systems in clear languages is through dimensional formulas. A few benefits come from using dimensional formulas to define derived units. It illustrates the representation of various physical quantities in terms of their fundamental units. It serves as a dimensional accuracy check for a derived quantity formula. It lessens errors that happen while translating between different systems' units (say from SI units to British units).
Derivation
We must obtain the formulas for displacement and velocity, two variables on which acceleration depends, in order to determine the dimensional formula for acceleration.
Dimensional Formula for Displacement
Change in position or movement is displacement, thus it is represneted by length.
[d] = [l]
This is also written as:
[d] = [[tex]m^{0} l^{1} t^{0}[/tex]]
This means that displacement has single dimension in length and no dimension in time and mass.
The dimension for displacement is [l].
Dimensional Formula for Velocity
Since velocity [v] is defined as a displacement with respect to time. This is represented as:
v = Displacement/Time
Since displacement [d] is given as [l] we have:
[v] = [l]/[t]
This can be further defined as:
[v] = [tex]lt^{-1}[/tex]
Finally concluded as:
[v] = [[tex]m^{0} l^{1} t^{-1}[/tex]]
The rate at which velocity changes over time is known as acceleration [a]. This is illustrative of:
[a] = Change in velocity/Change in time
Since we previously calculated velocity as [[tex]lt^{-1}[/tex]], acceleration is given as:
[a] =[tex][lt^{-1}]/[t][/tex]
This can be further condensed as follows:
[a]=[ [tex]lt^{-2}[/tex]]
This can also be stated as:
[a] = [[tex]m^{0} l^{1} t^{-2}[/tex]]
The dimensional formula for acceleration is displayed on the right side of the equation above. This dimensional equation states that acceleration has one length dimension, negative 2 of time dimensions, and no mass dimensions.
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part h an l - r - c series circuit has inductance 42.0 mh , capacitance c , and resistance r . without the resistor, the angular frequency of oscillation is 624 rad/s . with the resistor, the angular frequency is 208 rad/s . find the value of c .
Part h an l - r - c series circuit has inductance 42.0 mh , capacitance c , and resistance r . without the resistor, the angular frequency of oscillation is 624 rad/s . with the resistor, the angular frequency is 208 rad/s .
The value of R = 8.736 Ω
The value of C = 6.19 × 10⁻⁵ F
What is angular frequency?By a factor of 2, angular frequency (measured in radians per second) is bigger than frequency (measured in cycles per second, commonly known as Hz). Frequency is represented by the symbol rather than f. A sphere that revolves around an axis. Moving faster and satisfying = v / r are points further from the axis.
Given that,
inductance (L) = 42 mH
= 42 × 10⁻³ H
angular frequency (ω) = 620 rad/sec
without the resistor, the angular frequency of oscillation is,
ω = [tex]1/\sqrt{LC}[/tex]
or, [tex]1/\sqrt{LC}[/tex] = 620 rad/sec
or, [tex]1/LC[/tex] = (620)²
or, C = 1 / (620)²× (42 × 10⁻³)
or, C = 6.19 × 10⁻⁵ F
With resistor, ω = 208 rad/sec
or, ω = R/L
or, R = ωL
or, R = (42 × 10⁻³) × (208)
or, R = 8.736 Ω
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The complete question is as follows:
An L-R-C series circuit has inductance 42.0 mH, capacitance C, and resistance R. Without the resistor, the angular frequency of oscillation is 624 rad/s. With the resistor, the angular frequency is 208 rad/s.
Find the value of C.
Find the value of R.
technician a says a diaphragm-type pressure plate requires less pedal effort to operate than a coil spring type. technician b says a clutch with a coil spring type pressure plate uses one large spring to create the clamping force. who is correct?
Technician A is right. A pressure plate with a diaphragm requires less pedal effort to operate than one with a coil spring.
A diaphragm clutch is a type of car clutch that uses a diaphragm spring to engage and disengage the clutch.
The structure of this clutch is very similar to that of a single plate clutch, with the exception of using Belleville springs instead of coil springs in the diaphragm. Because there are no release levers and the spring has multi-lever functionality, this clutch has more advantages. The spring's pressure is constantly changing. It rises until the spring is flat, at which point it begins to descend. Unlike a coil spring-type clutch, the driver of this clutch does not need to apply as much pedal pressure to keep the clutch from engaging.
Thus clutch plate pushes the friction plate onto the flywheel. The diaphragm spring is located on the plate on one side of the pressure.
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natalia throws a ball straight up. the ball leaves the her hand with a speed of 17.0 m/s when the hand is 1.50 m above the ground.
The ball is 3.16 seconds in the air before it hits the ground.
What was gravity according to Albert Einstein?GETTING A Grip According to Einstein's general theory of relativity, matter or energy causes a distortion of space (or more specifically, spacetime) known as gravity. A large item produces a gravitational field by distorting the geometry of the spacetime it is located in.
Galileo's description of gravityGalileo is credited with demonstrating that gravity causes objects of varying masses to fall with the same acceleration by dropping weights from the Leaning Tower of Pisa.
Solution:
Upward
v = v o - g t
0 m/s = 15 m/s - 9.81 m/s² · t
15 m/s = 9.81 m/s² · t
t = 15 m/s : 9.81 m/s²
t 1 = 1.53 s
h = v o · t - g t² / 2 + 2 m
h = 22.95 m - (9.81 m/s² · 2.3409 s²) / 2 + 2 m
h = 11.475 m + 2 m = 13.475 m
Downward:
13.475 m = 9.81 · t² / 2
t = √(13.475 · 2 ) / 9.81
t 2 = 1.66 s
t = t 1 + t 2 = 1.53 s + 1.66 s = 3.19 s
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Mars has a small moon, Phobos, that orbits with a period of 7 h 39 min. The radius of Phobos' orbit is 9.4×106m. Use only this information (and the value of G) to calculate the mass of Mars.
Mass of the mars is 6.48 * [tex]10^{23\\[/tex] kg.
Mars, the fourth planet from the Sun, is a dusty, cold desert world with a thin atmosphere.
Phobos is the larger of the two heavily cratered Martian moons and is dominated by three large craters.
Orbit period for Phobos = T = 7 h 39 min = 459 min
Radius of Phobos' orbit = r = 9.4 * [tex]10^{6}[/tex] m
According to the Gravitational force and Centripetal force,
here both forces will be equal,
therefore (GmM/r²) = mrω²
m = mass of the Phobos
M is the mass of Mars
r is the Phobos' orbit radius
ω = (2[tex]\pi[/tex]/T) = (2[tex]\pi[/tex]/459)
G is the gravitational constant = 6.67 * [tex]10^{-11}[/tex]
(GmM/r²) = mrω²
M = (ω²r³/G)
M = (2[tex]\pi[/tex])² * (9.4 * [tex]10^{6}[/tex])³/ (459 * 60)³ * 6.67 * [tex]10^{-11}[/tex]
M = 6.48 * [tex]10^{23\\[/tex] kg
Mass of the planet mars is 6.48 * [tex]10^{23\\[/tex] kg.
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