A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal. fast is it moving after it has rolled 2.2 m down the plane =O 2.6 m/s
Definition: This type of uniform is defined as the movement of an item in which the object travels in a direct line, and its velocity stays steady along that line because it covers identical distances in the same intervals of time, irrespective of the period of time.
If the velocity of an object transferring alongside an instant line maintains changing, its movement is referred to as non–uniform. An item shifting alongside an immediate line with a steady speed is stated to be in uniform motion.
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A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but it’s been a while since you’ve checked. You can’t find a tire gauge in the car, but you just finished taking physics and so you tell your friend, "I don’t know, but I can figure it out." From the owner’s manual you find that the car’s mass is 1700 kg . It It seems reasonable to assume that each tire supports one-fourth of the weight. Using a ruler, you find that the tires are 16 cm wide and the flattened bottom segment of the tire is 15 cm long. Your observation of the tire tread pattern suggests that two-thirds of this segment is in actual contact with the road.What answer—in psi—will you give your friend?
Each tire is under 27 psi pound of pressure.
The weight is defined by the product of the mass and acceleration due to gravity, and is given by the following relation:
w=mg
Here, w is the weight, m is the mass, and g is the acceleration due to gravity.
The pressure is defined by the ration of force and the area of the surface, and is given by the following relation:
P=F/A
Here, P is the pressure, F is the force, and A is the area
Pressure on the tires is calculated from force acting on each tire to the area of each tire. Each tire supports one-fourth of the weight.
Here, the weight is the force
The force due to gravity is equal to the weight.
The force due to gravity of the car is,
[tex]F_g[/tex]=mg
Substitute 1500 kg for m and 9.8 m/[tex]s^2[/tex] for in the equation [tex]F_g[/tex]=mg .
[tex]F_g[/tex]= 1500 kg ×9.8 m/[tex]s^2[/tex]
=15000 N
The force due to gravity acting on each tire is,
[tex]F_e=F_8/4[/tex]
Substitute 15000 N for [tex]F_g[/tex] in the equation
[tex]F_g=15000/4[/tex]
=3750 N
Substitute 3750 N for F and 195×1[tex]0^-^4[/tex] [tex]m^2[/tex] for in the equation .
P=192307.6 Pa(0.000145038 psi/1pa)
=27.8 psi
As a result, each tire is under 27.8 psi pound of pressure.
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if the volume of gasoline vapor and air in an automobile engine cylinder is reduced to 1/11 of its original volume before ignition, by what factor does the pressure in the cylinder increase? (assume there is no change in temperature.)
If the amount of air and gasoline vapor in an automotive engines cylinder is only 1/11 of what it was prior to ignition. The volume inside the cylinder rises by 11, factor.
What does the word "ignition" mean?the method or mechanism of sparking a fuel mixture, such as an electric spark. additionally: an electrical device used to turn the key in an ignition system (such in a car). The ignition system's main function is to produce an electric spark.
Which four types of ignition systems are there?The majority of vehicles and trucks employ one of four different ignition systems today: coil-on-plug ignition switches, high energy (digital) ignitions, distribution company (waste spark) ignitions, and traditional breaker-point ignitions.
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What pieces of information do you need to accurately describe the motion of an object?
Question 5 options:
Mass
Distance
Time
Fast
Size
Wind resistance
Direction
An object's location, velocity, acceleration, and direction can all be used to define motion.
Define velocity:
Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster. If the two are travelling on the same route in the same direction, it is simple to determine which is quicker. It is challenging to identify who is moving the quickest when their motion is in the other direction. The idea of velocity is useful in these circumstances. Learn what velocity is, how it is measured, an example of velocity, and how it differs from speed in this article.
Motion may be described using an object's position, velocity, acceleration, and direction.
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a diverging lens has a focal length of magnitude 20.0 cm. (a) locate the images for object distances of (i) 40.0 cm, (ii) 20.0 cm, and (iii) 10.0 cm. for each case, state whether the image is (b) real or virtual and (c) upright or inverted. (d) for each case, find the magnification.
It is only necessary to know the direction of two of the three rays in order to graphically depict the formation of an image in a thin lens with virtual image.
(i) The one that strikes the lens perpendicular to the optical axis of the lens is one of them. When this is refracted in the lens, the image focus will not be affected. Its trajectory won't be altered by this.
(ii) The third and final one is the one that crosses the object focus (or its extension does), which, following refraction, will move in a direction parallel to the optical axis of the lens.
Accordingly, depending on how an object or body is positioned in relation to the lens, one type of image will generally be formed in the lenses. The image will always be virtual, smaller than the body, and to the right in divergent lenses.
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to what temperature will 8800 jj of heat raise 2.5 kg of water that is initially at 20.0 ∘c∘c ? the specific heat of water is 4186 j/kg⋅c∘j/kg⋅c∘
20.08 °C is the temperature when 8800 jj of heat raise 2.5 kg of water that is initially at 20.0 ∘c
q=mcΔt
Δt=q/mc
Δt=8800/104650
Δt=0.08
T2-T1=0.08
T2-20=0.08
T2=20.08 °C
Heat or cold are measured in terms of temperature. It can be defined in terms of a variety of arbitrary scales and shows how heat energy naturally moves from a hotter to a colder body (one at a lower temperature). Even if a match burns at a considerably greater temperature than an iceberg, an iceberg has a much higher overall heat energy. The energy of a thermodynamic system differs from temperature.
Temperature, pressure, density, and other properties that are independent of the amount of matter being considered are referred to as intense properties, as opposed to broad characteristics like mass or volume.
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if the charge on q1 is doubled, assuming that charge of q2 and the distance of r stay the same, what will happen to the force between the two charges?
The force between the two charges will increase.
What is force?
An influence that can alter an object's motion is referred to as a force in physics. An mass-laden object can change its velocity, or accelerate, in response to a force by moving away from rest, for example. Intuitively, pushing or pulling can be used to describe force. As a vector quantity, a force is one that has both direction and magnitude. It is expressed as a newton in the SI system (N). F is a symbol that stands for force (formerly P).
The net force acting on an object seems to be equal to the rate that its momentum changes over time, according to the original formulation of Newton's second law.
This is because the force between two charges is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them. Therefore, doubling the charge of q1 will increase the force between the two charges because the product of the charges will be doubled, despite the distance remaining the same.
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Object A and object B are both heated to 200 Celsius. Object A must absorb 4,000J of heat energy to reach a temperature of 200 Celsius, while object B must absorb 2,500J of heat energy to reach a temperature of 200 Celsius. Which object has the highest specific heat ?
The specific heat capacity is like having capacity to acquire or absorb heat. Because of this, object A will have higher specific heat capacity than object B
What is Specific Heat Capacity ?The specific heat capacity of a substance is the quantity of heat required to raise the temperature of unit mass of the substance by one kelvin.
Given that Object A and object B are both heated to 200 Celsius. Object A must absorb 4,000J of heat energy to reach a temperature of 200 Celsius, while object B must absorb 2,500J of heat energy to reach a temperature of 200 Celsius.
Since both are heated to the same temperature, that mean object A has large heat capacity to absorb 4,000J of heat energy to reach a temperature of 200 Celsius. While object B has a less heat capacity to absorb 2,500J of heat energy to reach a temperature of 200 Celsius.
Therefore, object A has the higher specific heat capacity than object B
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which lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object
Sidelighting is lighting method has most of the light from the light source reflected away from the camera.
Define Backlighting.
In order to create some visual contrast between the subject and the background, backlight is slanted down upon the subject from behind, emphasizing their shapes. the primary light's brightness, on average.
One of the most used methods in stage and portrait photography is side lighting. Additionally, it is a very attractive light that suits people of all ages and appearances. To highlight your model's bone structure, facial characteristics, and body shape, use side lighting.
Right or left side lighting is coming from a 45 degree angle with respect to your subject (or at 45 degrees diagonally from your camera over your subject).
Your subject will appear flat and have no shadows if the light is coming from the front. If you employ front or back lighting, you will create shadows, which are less aesthetically pleasing to the face but reveal depth and definition.
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colton and jackson are participating in a cognitive development study at the local university. colton is a 9-year-old fourth-grader. jackson is a 13-year-old eighth-grader. the boys have to determine whether the speed of a pendulum's swing depends on the pendulum's weight, the length of the string to which the pendulum is attached, or the height from which the pendulum is suspended. colton tests the weight, length, and height variables haphazardly, reflecting his thinking. jackson tests the variables systematically, reflecting his thinking.
Coltan is likely to carelessly test the weight, length, and height variables haphazardly. However, Jason will most likely do systematic tests of the variables because this is when kids start to think scientifically.
What does auditing's haphazard sampling entail?
A nonstatistical method known as "haphazard sampling" is used to choose sample items without any deliberate bias and without giving a justification for adding or omitting any particular items.
What is an example of haphazard sampling?
The vox pop poll, in which the interviewer chooses any passerby, is an illustration of accidentally. Unfortunately, selection is susceptible to the biases of the interviewer and anybody who happens to pass by at the moment of sampling unless the population units are actually comparable.
What distinguishes haphazard sampling from random sampling?
By numbering each item in the population and using random number tables to determine which things to investigate, random selection ensures that every member of the population has an equal chance of being chosen. Haphazard refers to the way a person chooses things, probably in an effort to mimic randomness.
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Calculate the frequency of a water wave that has a wavelength of 0. 5 m and a speed of 4 m/s.
The frequency of the water is 8 Hertz
What is frequency and wavelength ?The wavelength is the separation between two wave crests, and troughs have the same wavelength. The number of vibrations that pass over a specific spot in a second is known as the frequency and is expressed in cycles per second (Hz).
The frequency and wavelength of light are inseparably linked. The frequency increases with decreasing wavelength. As a result, the relationship between frequency and wavelength is inverse.
Given : Frequency of water = ?
Wavelength of water = 0.5m
And the speed of water = 4m/s
Frequency can be calculated by : f = v/λ
where , f = frequency
v = speed
λ = wavelength
So, f = v/λ
On substituting the values in the formula we get:
f = 4/0.5
f = 8 Hertz
Thus the required frequency of water is 8 Hertz
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15. The coaster needs to come to a complete stop by the time it reaches point I. Calculate the deceleration of the coaster as it moves from
point H to I.
16. How much force is required to produce this deceleration (ignore friction).
17. Calculate the impulse imparted onto the coaster to make it stop (hint. Think change in momentum)
As the roller coaster proceeds from point H to point I, it decelerates at a rate of -29.4 m/s^2, and the force needed to cause this deceleration is equal to 29400 N. (ignore friction). The impulse is equal to -54220kgm/s.
Deceleration is the term used to describe a decrease in speed as the body moves away from the beginning place. Acceleration's antithesis is deceleration. A force is an impetus that has the power to alter an object's motion. It is expressed as Deceleration, also referred to as negative acceleration. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest). Intuitively, a push or a pull can also be used to describe force.
v^2 -u^2 = 2as
(0) -(2940) = 100 -2940/100 = -29.4 m/sec^2 is the deceleration.
F = ma
F = 1000*(-29.4) (-29.4)
F = -29400N
The formula for an impulse is: p
Momentum = m(v-u) = 1000 (0-54.22)
impulse = 54220 kg m/sec
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Two boys are riding their bikes in the same direction. Tommy and his bike have a total mass of 126kg and are riding at 8.4m/s. Tommy then crashes into his friend, Bob, who is riding with an initial velocity Of 6.8m/s. When they collide, their bikes get stuck together and they fly off the track together with a velocity of 7.9m/s. What is the mass of Bob and his bike? INELASTIC COLLISION
The mass of Bob and his bike is 57.27 kg.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given parameters:
Total mass of Tommy and his bike: m = 126 kg
Velocity of Tommy and his bike before collision: u = 8.4m/s.
Velocity of Bob and his bike before collision: U = 6.8m/s.
Velocity of them when they stuck together: v = 7.9 m/s.
We have to find: mass of Bob and his bike: M = ?
From principle of conservation of momentum in inelastic collision:
mu + MU = (m+M)v
⇒ 126×8.4 + 6.8 M = (126 +M)×7.9
⇒ M(7.9-6.8) = 126(8.4-7.9)
⇒M = 57.27 kg
Hence, the mass of Bob and his bike is 57.27 kg.
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three pendulums all have the same arm length, and they all start their downward swings from the same height. the first pendulum has a mass of 67 g. the second pendulum has a mass of 1.5 kg. the final pendulum has a mass of 3.3 kg. assuming that the effects of air drag are negligible, which pendulum attains the highest speed?
All three pendulums will reach the same maximum velocity, according to the question.
What is pendulum energy?The pendulum will start swinging as the weighted end is removed since gravity will drag it downward. Kinetic energy, the force a moving item exerts, is created from potential energy. At its lowest, so when mass is traveling the quickest, an active pendulum possesses the highest kinetic energy.
Briefing:From conservation of energy;
Energy at A = Energy at B
[tex]\frac{1}{2} mv^{2}[/tex] = mg[tex]H_{max}[/tex]
[tex]H_{max}[/tex] = [tex]\frac{v^{2} }{2g}[/tex]
[tex]H_{max}[/tex] = Independent of mass
So, all pendulum will attain the highest speed.
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What mass of silver can be plated onto an object in 33. 5 minutes at 8. 70 a of current?.
Calculated on a scale where the atomic mass of hydrogen and oxygen are the starting points, the molar weights of silver is provided as m = 19.55 g.
How is the molecular mass determined?Using the mass listed in the Periodic Law or Atomic Weight Table, determine the atomic mass for each element. To calculate the molecular mass of a molecule, multiply the index (number of atoms) by the atomic mass of each element in the molecule and add those masses together.
what Are atomic mass and molar mass equivalent?Atomic mass of a single compound unit, whereas molecular mass refers to the mass of a single mole of a compound. In essence, atomic mass is the mass of the atom, and molar mass is the average mass of the compound's constituent parts.
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the masses of the javelin, discus, and shot are 0.80 kg, 2.0 kg, and 7.2 kg, respectively, and record throws in the corresponding track events are about 98 m, 74 m, and 23 m, respectively. neglecting air resistance, (a) calculate the minimum initial kinetic energies that would produce these throws, and (b) estimate the average force exerted on each object during the throw, assuming the force acts over a distance of 2.0 m. (c) do your results suggest that air resistance is an important factor? [hint: think about if the same muscle power used in a shot throw would produce the same range for a javelin when air resistance is neglected.]
Let us assume θ = 45⁰, so sin(2θ) = 1
R = v² x sin(2θ) / g = v² / g
v² = R x g
a) To find the kinetic energy,
E = 0.5 x mv² = 0.5 x R x g
E(javelin) = 0.5 x 0.8 x 9.8 = 384 J
E(discuss) = 0.5 x 2 x 74 x 9.8 = 725.2 J
E(shot) = 0.5 x 7.2 x 23 x 9.8 = 811.4 J
b) To find the average force exerted,
F = W / Δx = Δk / Δx
F(javelin) = 384 / 2 = 192 N
F(discuss) = 725.2 / 2 = 363 N
F(shot) = 811.4 / 2 = 406 N
c) Yes, air resistance is an important factor.
Therefore, air resistance must affect each of them very differently because the average force the person could throw with, should be same.
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what would the wind speeds at a be if the hurricane is moving due east at a speed of 40 km/hr and the average wind speed of the hurricane was 215 km/hr?
The wind speed would be 255km/hr if the hurricane is moving east due east at a speed of 40 km/hr and the average wind speed of hurricane was 215 km/hr.
We must determine the localized wind speed at Point A because it is the end of the storm and has the highest velocity.
Speed at point A equals the combined speeds of the hurricane and the forward motion since point A is situated in the same rotational direction as the cyclone.
speed at point A = speed of hurricane + speed of forward
= 215 + 40 = 255km/hr
What does a hurricane mean in simple terms?
A hurricane is defined as a tropical storm with sustained winds of 74 mph or more. A storm's eye typically measures 20 to 30 miles in width and can reach distances of 400 miles. Storms may be dangerous because of their heavy downpours, strong gusts, and storm surges.
Where do storms usually begin?
Near the tropics, in the Caribbean, or in the waters around the Cape Verdean islands of West Africa, hurricanes start to form. Surface water that is relatively warm quickly evaporates before condensing to create clouds in the sky. When moist air rises to the point of saturation, a tropical depression—a kind of meteorological system—is created.
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a 600-kg satellite is in a circular orbit about earth at a height above earth equal to earth’s mean radius. find (a) the satellite’s orbital speed,
A 600-kg satellite is in a circular orbit about earth at a height above earth equal to earth’s mean radius. find (a) the satellite’s orbital speed.
T = 39.8hr
mass of the satellite = 600 Kg
mass of earth = 5.98 x 10²⁴ Kg
height of the satellite
r = 2 R_e
R_e is radius of earth = 6.38 x 10⁶ m
Assuming orbital velocity of the satellite
v = 5.59 x 10³ m/s
time period = 2 pi r/v
time period = 2pi*2*6.38*10^6/5.59*10^3
T = 14342.3 s
T = 14342.3/60*60 Hr
T = 3.98 Hr
An orbit is a regular, repeating course that one object in area takes around any other one. An item in an orbit is called a satellite tv for pc. A satellite can be herbal, like Earth or the moon. Many planets have moons that orbit them. A satellite tv for pc can also be guy-made, just like the global space Station.
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if electrons in an atom have the lowest possible energies, the atom is in the:_____.
An atom is in the ground state if its electrons have the lowest conceivable energies.
What is an electron ?
Even smaller particles that move like planets around the sun are found inside an atom, the very small unit found inside an element. These particles are moving so quickly that even a microscope cannot pick them out. We refer to these particles as "electrons," and they are very energetic particles.
The lowest energy state for an electron is called its ground state, which is the energy level it typically resides in. Each electron has a limit on how much energy it can have while still remaining a part of its atom. A quantum mechanical system's stationary sate that has the lowest potential energy is usually referred to as the system's zero point energy and its ground state. Any state that has more energy than the ground state is said to be excited.
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in short-track speed skating, the track has straight sections and semicircles 16 m in diameter. assume that a 65 kg skater goes around the turn at a constant 13 m/s .
Part A
What is the horizontal force on the skater?
part B
What is the ratio of this force to the skater's weight?
The horizontal force on the skater is 1373 N
Define force.
An object experiences a push or pull as a result of interacting with another object called force. Each object is subject to a force whenever two objects interact. The two items no longer feel the force after the interaction ends.
The diameter of the semicircular portion of the track is 16 m.
Therefore its radius is, r = 8 m.
The tangential velocity of the skater is 13 m/s.
Therefore the angular speed is
ω = v/r = (13 m/s)/(8 m) = 1.625rad/s
The horizontal force on the skater is due to centripetal acceleration
a = r*ω² = (8 m)*(1.625 rad/s)² = 21.125 m/s².
The force acting on the 65-kg skater is
F = m*a = (65 kg)*(21.125 m/s²) = 1373 N
The ratio of this force to the skater's weight: 1373/65 is 21.125
i.e. centripetal acceleration
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A 0.260 kg potato is tied to a string with length 2.50 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released.A) What is the speed of the potato at the lowest point of its motion? let g be = 9.80 m/s^2
The speed of the potato at its lowest point of motion which has a mass of 0.260 kg tied to a 2.50 m long rope is 7 m/s.
Law of conservation of energyBasically, the law of the conservation of energy is one of the laws of Physics which states that energy is eternal, so it can't change all the time, and has the same value both before something happens and after it happens. Well, the existence of this energy can also be changed in form with a magnitude that will always be the same. In this law of conservation of energy, the energy in question is kinetic energy, potential energy, mechanical energy, and others.
So, the kinetic energy of that potato will be equal to its potential energy when the string is pulled and the potato will be released.
The equation:
KE = PE
So, the speed of the potato at its lowest point of motion which has a mass of 0.260 kg tied to a 2.50 m long rope is:
(½) (m) (v²) = (m) (g) (h)
(½) (0.26) v² = (0.26) (9.8) ((2.5)
0.13 v² = 6.37
v² = 49
v = [tex]\sqrt{49}[/tex]
= 7 m/s
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1.85 m tall person stands 8.50 m in front of a large, concave spherical mirror having a radius of curvature of 4.00 m. Determine the mirror's focal length, image distance, and magnification.
The mirror's magnification is -0.307, which indicates that the image is inverted, and its focal length is 2.0 m. The picture's separation from the mirror is 2.61 m.
Mirror radius: R = 4.0 meter's
Mirror's focal length is equal to
focal length = R/2,
focal length = 4.0/2 m, and f = 2.0 m.
The man is 1.85 meter's tall.
Do = 8.5 meter's separates the subject from the mirror.
The distance between the picture and the mirror is di
1/di = 1/2.0-1/8.51
di = 1/0.382
di = 2.61m.
The picture is produced on the same side of the mirror as the item because the image distance is positive, hence the image will be accurate.
The magnification is negative thus the picture created is inverted.
magnification = -di/do = - 2.61/8.5 = -0.307.
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1. suppose that the slit width was less than the wavelength of light being used for the first part of the experiment. how many orders of minima would you expect to see?
If the slit width was less than the wavelength of light being used for the first part of the experiment, then you would expect to see only a single order of minima.
What is minima?
The largest and lowest value of a function, either within a specific range (the neighbourhood or relative extrema) or on the entire domain, are collectively referred to as extrema (plural of extremum) in mathematical analysis (the global or absolute extrema). One of the earliest mathematicians to suggest the general method of adequacy for determining the minima and maxima of functions was Pierre de Fermat.
The minimum and maximum of a set are the greatest as well as least elements in the set, as defined by set theory. There are no minimum or maximum values in unbounded infinite sets, like the set of real numbers.
This is because when the slit width is less than the wavelength of light, the diffraction pattern is dominated by the single slit and the interference of light waves is insignificant, resulting in a single order of minima.
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two child sit on different positions of a merry-go-round. should they have the same tangential velocity?
No, they do not have the same tangential velocity.
tangential velocity= rω
v=rω
v is dependent or radius
as radius change, velocity change.
Tangential velocity is the linear component of an object's speed when it travels along a circular path. When an item moves in a circle at a distance r from the center, its velocity is always pointed tangentially. This is known as tangential velocity. We might also say that the tangential velocity is always the same as the linear velocity.
Tangential velocity is the measurement of speed at any location that is parallel to a wheel that is moving in a circle. Thus, the formula establishes a relationship between the tangential velocity, Vt, and the angular velocity,. Tangential velocity is the portion of motion along a circle's edge that may be measured at any given time.
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establish an order-of-magnitude criterion which shows in what range of radius the flow may be regarded as inertia-free. express your criterion in terms of q and h together with any other necessary quantities
The standard way to express an order of magnitude is as 10 to the nth power where q/h is 0.01.
Order of magnitude is the number of powers of 10 in a number or the number of powers of 0.1 in a negative number. The order of magnitude is represented by the n.A number is effectively multiplied by 10 if it is raised by one order of magnitude. A number is essentially multiplied by 0.1 if it is decreased by one order of magnitude.Protons and neutrons make up the atom's tiny, dense nucleus, which is located inside each atom. A nucleus may have a spherical, triaxial, pear-shaped, or rugby ball-like shape. Due to negligibly small contributions from the electron cloud surrounding it, an atom's nucleus almost makes up its entire mass. The protons and neutrons come together to form a nucleus due to nuclear force. In comparison to an atom, a nucleus diameter is significantly smaller.To learn more about electron cloud-
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a spiral galaxy with a very small central bulge and clumpy spiral arms would be classified as what type of galaxy?
A spiral galaxy with a very small central bulge and clumpy spiral arms would be classified as Sc/SBc.
According to the closeness of their spiral, the clumpy of their spiral arms, and the size of their central bulge. These contrasts can be tracked back to the comparitive amounts of gas and dust contained within the galaxies.
A spiral galaxy has a rotating circular disc with spiral arms that curve out from a thick central region. The Milky Way is a spiral galaxy. Four categories which are used to analyze galaxies are
spiral barred spiralellipticalirregularA galaxy's bulge is a central, spherical structure composes of numerous amounts of stars, gas and dust particles. The dark material surrounding the center of the galaxy is gas and dust that is being thrown into the central region by the bar. The blue regions are the clusters of young stars.
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what is the minimum thickness of film required? assume that the wavelength of the light in air is 480 nanometers.
Assuming that the light in air has a wavelength of 500 nanometers, the minimum thickness of the film needed is 83.9 nm.
How to calculate about Destructive Interference?Given; Index of refraction of polystyrene; η_p = 1.49
Index of refraction of Fabulite; η_f = 2.409
Light's in-air wavelength is 500 nm.
In order to answer this question, it will be found that light will initially be reflected twice: once from the top coating layer and once from the contact between the coating and the polystyrene material.
The light's additional path in the coating is 2t, whereas the path difference is 2t p.
Thus, minimum thickness of film required will be gotten from the formula used in destructive interference which is; 2tη_p = λ/2
t = λ/2 * 1/2η_p
t = λ/(4η_p)
t = 500/(4 * 1.49)
t = 83.9 nm
Therefore The minimum thickness of the film required assuming that the wavelength of the light in air is 500 nanometers is; 83.9 nm
The complete question is : A thin film of polystyrene is used as an antireflective coating for Fabulite (known as the substrate). the index of refraction of the polystyrene is 1.49, and the index of refraction of the fabulite is 2.409. what is the minimum thickness of film required? assume that the wavelength of the light in air is 500 nanometers.
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you are heading toward an island in your speedboat when you see a friend standing on shore at the base of a cliff. you sound the boat's horn to get your friend's attention. let the frequency of the sound produced by the horn be f1f1, the frequency as heard by your friend be f2f2, and the frequency of the echo as heard on the boat be f3f3.
The Wavelength will be higher than what will be heard without any motion on the boat due to the Doppler Effect, which is the change in the frequency of a sound wave whenever there's a relative motion between the source of the wave and observer. The amount of shift in frequency depends on the speed of the source towards the observer; the higher the velocity of the source, the higher the shift.
Doppler effect is the shift in frequency as the object gets near an object/person or far away from an object or person.
When the frequency of a police car is heard from far away, the frequency is low and long wave lengths
When the frequency of a police car is heard from near, the frequency is high and short-wave lengths
Therefore, the Doppler effect is observed when the distance between
the source and the observer is changing.
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A spring with a spring constant of 125 n/m is stretched 2. 0 cm from its equilibrium position. What is the change in the spring potential energy?.
Answer: 0.025 J or 25 mJ
Explanation:
Elastic potential energy = 1/2 * k * x^2
Where k is the spring constant (N/m) and x is the springs stretch from the point of equilibrium.
=1/2*125N/m * (0.02m)^2 = 0.025 J or 25mJ
If the cyclist wanted to travel at a speed of v2 = 3. 5 m/s, how much time, in seconds, should elapse as the pedal makes one complete revolution?.
The pedal makes one complete revolution in a time equals to 1.79 times of radius second.
What is speed?
Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given parameters:
the cyclist wanted to travel at a speed of v₂ = 3. 5 m/s.
Let the radius of the cycle tire = r.
Then one complete rotation = 2πr.
The cycle goes in 1 second = 3.5 meter.
Hence, for one complete revolution required time = 2πr/3.5 seconds
= 1.79r second.
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If the expansion of the Universe is currently accelerating, can we conclude that the Universe will necessarily expand forever? Why?
The universe will expand forever.
Why is it said the universe will expand forever?
Cosmologists generally agree that the universe has a "flat" shape (i.e., parallel lines remain parallel) and will expand indefinitely. If the mean density falls below the critical density, there won't be enough matter in the universe to stop the expansion; the cosmos will continue to grow indefinitely. The galaxies will eventually grow progressively further apart. Everything in the universe is included, from the tiniest molecule to the greatest galaxy. The cosmos has been growing since the Big Bang approximately 13.7 billion years ago, and its size may be unlimited.
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