The paddle will experience a force from the water equal to the product of the water pressure and the paddle's surface area.
what is pressure ?
Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area across which that force is distribute Gauge pressure (sometimes called gauge pressure)[a] is the pressure relative to the ambient pressure.
Various units are used to express pressure. Some of these are derived from dividing a unit of force by a unit of area; for example, the SI unit of pressure, the pascal (Pa), is one newton per square metre (N/m2); similarly, the pound-force per square inch (psi) is the conventional unit of pressure in the imperial and US customary systems. Pressure can also be stated in terms of normal atmospheric pressure; this pressure equals the atmosphere (atm).
The paddle will experience a force from the water equal to the product of the water pressure and the paddle's surface area. Any more power will only go to raise the speed of the paddle. Because of this, more water may be forced into a smaller space.
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Answer: The answer is ture
Explanation: Newtons third law which says
a square conductor moves through a uniform magnetic field. which of the figures shows the correct charge distribution on the conductor?.
The figure D shows the correct charge distribution on the conductor. The magnetic field is out of the page and velocity is upwards.
A substance as well as material that permits the flow of electricity is known as an electrical conductor. When voltage was provided, electric charges carriers, often electrons as well as ions, travel effortlessly between atom to atom inside a conductor.
Insulators were substances that prevent electricity from passing through them. Insulators are employed as a defense against the potential dangers of electricity because they oppose electric currents. Glass, air, wood, plastic, as well as rubber are just a few characteristics of insulators.
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Dark matter was first detected because the ______ for the amount of gravity that could be present due to the luminous mass.
Dark matter was first detected because the excess for the amount of gravity that could be present due to the luminous mass.
Since, by measuring the rotation of the galaxies and their gravitational attraction, the scientists determined that there appeared to be an excess of gravity, which could not be explained by the amount of luminous mass present. This led to the conclusion that dark matter must exist to explain this excess gravity.
The role of dark matter in the formation of galaxiesDark matter plays a fundamental role in the formation and evolution of galaxies. This invisible matter is composed of subatomic particles that interact with gravity, but does not emit light, so it cannot be detected directly. Despite this invisibility, advances in technology have allowed scientists to determine the amount of dark matter present in the Universe and its contribution to the evolution of galaxies.
Studies of galaxies suggest that dark matter plays an important role in their formation, this means that dark matter is responsible for the formation of galactic structures, such as disks and the central bar.
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the width of a rectangle is 5 feet longer than four times its length, and its area is 26 . if you use l to represent the length of the rectangle, then an expression representing the width is w = ___ The length of the rectangle is feet. feet and the width is ___
The expression representing width is w = 3l +5, where l = length. When area is 26, the equation for length is 4[tex]l^{2}[/tex]+5l -26=0.
Rectangle is a parallelogram with its opposite sides equal. We can find area of rectangle using the formula,
Area is defined as the extent occupied by an object in 2D plane. The plane may be flat or curved region. The S.I. unit of area is square meter.
Area = length × width
So, we have length = l,
as per the given information in the question,
width = w = 4l+5
So, area, a = (4l+5) ×l= 26
4[tex]l^{2}[/tex] +5l = 26
4[tex]l^{2}[/tex] +5l-26 = 0
Solving this equation, we can find the value of l and then width.
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1. How can you make thoughtful spending decision?
2. Why do people pay more for Name Brand products?
EACH questions MUST be answered with a MINIMUM of 2 paragraphs (minimum 5 sentences in a paragraph)
Answer:
How can you make thoughtful spending decision?
To make thoughtful spending decisions, it's important to consider your financial goals and priorities. Start by creating a budget that reflects your income and expenses, and consider what you can afford to spend on non-essential items.
One effective way to make spending decisions is to use the 50/30/20 budgeting rule. This rule suggests that you should allocate 50% of your budget to necessities like housing and groceries, 30% to discretionary spending like entertainment and dining out, and 20% to saving or paying off debt. By following this rule, you can ensure that you're meeting your basic needs while still allowing yourself some flexibility for fun and leisure activities.
It's also a good idea to consider the long-term value of a purchase. For example, investing in a high-quality item that will last for many years may be more cost-effective in the long run than buying a cheaper item that needs to be replaced frequently. Additionally, think about whether a purchase aligns with your values and goals. If it doesn't, it may not be worth the money, even if it seems like a good deal at the time.
Why do people pay more for Name Brand products?
People often pay more for name-brand products for a variety of reasons. One reason is that these products are often perceived as being of higher quality than generic or store-brand products. This perception may be based on the brand's reputation for producing high-quality products, or it may be the result of marketing efforts that position the brand as a luxury or premium option.
Another reason people may be willing to pay more for name-brand products is that they believe these products will bring them status or social recognition. Some people may view certain brands as symbols of success or status, and may be willing to pay a premium to be associated with these brands.
Additionally, some people simply prefer the look, feel, or other aspects of name-brand products, and are willing to pay more for the product they feel best meets their needs or preferences. In some cases, people may be willing to pay more for name-brand products simply because they are more convenient or easier to find than generic alternatives.
a ball is dropped from a cliff and falls freely towards earth. which of the following statements are true concerning the ball as it falls? neglect air resistance (aka drag) for this problem.
The acceleration will be constant and in a downward direction. And as the ball moves in direction of the acceleration so the velocity will keep increasing because velocity is inversely proportional to height, when the ball is in free fall.
What is Acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
What is Free fall?Free fall is characterized as a condition where an object is only affected by gravity. The ball experiences an external force, which quickens its motion. Gravitational acceleration is another name for this rate of free-fall acceleration. A downward motion without any beginning force or speed is called a free fall.
Hence, the acceleration will be constant and in a downward direction. And as the ball moves in direction of the acceleration so the velocity will keep increasing because velocity is inversely proportional to height, when the ball is in free fall.
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A moving object collides with a second object at rest on a frictionless surface, resulting in an elastic collision. Is the momentum of each individual object the same before and after the collision?
A. No - the momentum of each object is not bound by conservation - only the system as a whole. B. Not enough information is given. C. Yes - the conservation of momentum is a universal law.
According to statement no, only system in general is constrained by conservation of momentum.
What does the scientific term frictionless mean?A surface is said to be frictionless if it has a loads applied on any thing that is virtually zero or insignificant, i.e., there is no resistance between the surface and the substance, allowing that object simply slide & freely move without any friction.
Is there no friction at all in space?Although gas, sand, radiation, fields, and minuscule particles are present in outer space, their concentration is too low for them to have a significant impact on spacecraft. As a consequence, traveling objects cannot be slowed down in space by any kind of friction.
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According to Newtonian mechanics, the momentum of an interplanetary express bus is p=mv. According to relativity, it is p=γmv.A.) How does the actual momentum of the bus moving at 0.98 c compare with the momentum it would have if classical mechanics were valid? Express your answer using two significant figures.prel/pNewt=____B) How does the momentum of an electron traveling at 0.98 c compare with its classical momentum? Express your answer using two significant figures.prel/pNewt=____
Part A: Y is 7.1 when v = 0.98c.
Part B: When compared to what would be predicted if classical mechanics was accurate, the bus's momentum is much more than seven times greater.
Explain the term Newtonian mechanics?The foundation of Newtonian mechanics is the application of Newton's Laws of Motion, which make the assumption that space, time, and mass are absolute concepts and that motion occurs in an inertial frame.Part A: Actual momentum of the bus moving at 0.98 c.
velocity of interplanetary express bus v = 0.98 c.
Thus,
Y = 1/√(1 - v²/c²)
Y = 1/√(1 - (0.98c)²/c²)
Y = 7.07
Thus, Y = 7.1 for v = 0.98c.
Part B: Momentum of an electron traveling at 0.98 c
As Y = 7.1 for v = 0.98c.
Thus, when compared to calculations made using classical physics, the bus's momentum is more than seven times greater.
The same holds true for electrons and other fast moving objects.
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The horn of a stationary car emits sounds at a frequency of 440 HZ.What frequency of note will you hear if gov drive toward this car at m/s (Vsound = 340m/s)?
Answer: The frequency of the sound that you will hear depends on the speed of the car relative to the speed of sound. If you are driving towards the stationary car, the speed of the car will be added to the speed of sound, so the frequency of the sound that you will hear will be higher than 440 Hz.
To calculate the frequency of the sound that you will hear, you can use the Doppler effect equation:
f' = f * (Vsound + Vcar) / (Vsound - Vcar)
where f' is the observed frequency, f is the source frequency, Vsound is the speed of sound, and Vcar is the speed of the car.
Plugging in the values given in the question, we get:
f' = 440 * (340 + Vcar) / (340 - Vcar)
This equation will give you the frequency of the sound that you will hear as you approach the stationary car at a speed of Vcar meters per second.
An electrical motor spins at a constant 1129.0 rpm. If the armature radius is 2.846 cm, what is the
acceleration of the edge of the rotor?
The accelaration of the edge of the rotor is linear acceleration.
What is accelaration?Accelaration is the rate of the change of the velocity of an object with respect by time.
The electric motor is spinning at a rate of 2695 Devolution Permanent. By two by over 60 is how this can be converted into reading persecond. The value is coming out at 282.08 ingredient per second. The areas of the model is 7.605 cm. The linear acceleration of the by motor is what we have to l find. We have to find out of the tangential acceleration that is given by the formula and omega squared R, if I substitute the values. This will be to 82.08 The motor has a linear Acceleration.
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A bowler rolls a 4.5 kg ball down the lane. The ball hits a 0.25kg bowling pin and accelerates the pin away from it at 6.6 m/s2. What is the acceleration felt by the ball (in m/s2)
Answer: 0.37 m/s2
Explanation:
This is a Newton's 3rd Law of Motion problem. The force exerted on the pin by the ball is equal and opposite to the force exerted by the pin on the ball. F = ma
let x = acceleration of the ball after it hits the pin
(4.5 kg)(x) = (0.25 kg)(6.6 m/s2)
x = ((0.25 kg)(6.6 m/s2)) / (4.5 kg) = 1.65 / 4.5 = 0.37 m/s2
If the maximum excitation energy gained by an atom is 12.08 eV ,determine all of the wavelengths of light emitted from the tube as atoms return to the ground state.
The wavelength of light emitted from the tube as atom returns to the ground state is 1.02×[tex]10^{-7[/tex]m.
The spectrum of the electromagnetic radiation emitted or absorbed by an electron during transitions between different energy levels within an atom. When an electron gets excited from one energy level to another, it either emits or absorbs light of a specific wavelength.
The wavelength can be determined by either energy or by frequency.
in the question energy of an atom is given, so we will use wavelength energy formula.
λ=hc/E =6.626×10⁻³⁴J⋅s×2.998×10⁸m⋅s⁻¹/12.08 ×1.6×[tex]10^{-19[/tex]
= 19.864×[tex]10^{-7[/tex]/19.328
= 1.02 ×[tex]10^{-7[/tex] m
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in the context of the roles of nmda receptors and ampa receptors in long-term potentiation (ltp), which of the following occurs during weak electrical stimulation of the presynaptic neuron?
That which occurs during weak electrical stimulation of the presynaptic neuron is;
Weak activity of the presynaptic neuron leads to modest depolarization and calcium influx through NMDA receptors.
what are NMDA receptors?
The N-methyl-D-aspartate receptor, is described as a glutamate receptor and ion channel found in neurons.
The NMDA receptor is one of three types of ionotropic glutamate receptors, the other two being AMPA receptors and kainate receptors.
In the context of the roles of nmda receptors and ampa receptors in long-term potentiation (ltp), weak activity of the presynaptic neuron leads to modest depolarization and calcium influx through NMDA receptors.
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1) In the nuclear reaction shown, one deuterium (hydrogen- 2 ) and one tritium (hydrogen-3) fuse to form one helium-4 and one neutron.
Data: Hydrogen-2 mass: 3.34450 10⁻²⁷ kg
Hydrogen-3 mass: 5.00827 10⁻²⁷ kg
Helium-4 mass: 6.64648 10⁻²⁷ kg
Neutron mass: 1.67493 10⁻²⁷ kg
a) What is the total mass of the pieces going into the reaction?
b) What is the total mass of the pieces coming out of the reaction?
c) How much energy is converted from rest energy to other forms of energy if one mole of deuterium (about 2.0 g ) and one mole of tritium (about 3.0 g ) are converted?
When helium-3 and deuterium combine in this nuclear process, regular helium and a proton are produced, wasting less energy and making the reaction easier to contain.
What energy forms of energy if one mole of deuterium?The fusion of deuterium and tritium is the most promising of the hydrogen fusion processes that make up the deuterium cycle.
The reaction produces 17.6 MeV of energy, but in order to induce fusion, one must tunnel through the coulomb barrier, which requires extremely high temperatures.
Therefore, 8.4 1020 joules of energy would be released if one ton of deuterium were to undergo the fusion reaction with tritium. This is comparable to the 2.9 1010 joules of energy found in a ton of coal.
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The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
The expression of elevation and solution of the expression is as below -
[tex][X-80x] + [X-16c] +2d/c=0\\x=2c-d[/tex]
All elevations are measured from sea level, which is defined as a height of 0 feet. Positive elevations are found in locations on Earth that are higher than sea level, and negative elevations are found in locations that are lower. As a result, Death Valley is situated below sea level at a height of -282 feet.Distance above sea level is known as elevation. In most cases, elevations are expressed in meters or feet. On maps, they can be represented by contour lines that link points of the same elevation, by color bands, or by numbers that indicate the precise elevations of specific points on the surface of the Earth.On Earth, sea level serves as the reference point for determining elevation and depth. The ocean is a single, unbroken body of water, so its surface tends to seek uniformity everywhere it is. In relation to the nearby land, the sea level is determined. Land elevation can fluctuate over time, just like that of the ocean.To learn more about Land elevation -
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In the space below, draw and label a circuit diagram that has a 24.0 V power supply and two 10.0 Ω resistors connected in parallel
Thank you!
Here is the diagram,
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Suppose you observe a star orbiting the galactic center at a speed of 1100 km/s in a circular orbit with a radius of 22 light-days. Part A What would your estimate be for the mass of the object that the star is orbiting? Express your answer using two significant figures.
According to the given statement M = 18.67 x 10⁶ Solar masses of the object that the star is orbiting.
How speed does physics move?The rate at which the position of an object shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a numerical number since it just has a path and no magnitude.
Briefing:
M = Mass of Object = ?
v = orbital speed of star = 1100 km/s = 1100000 m/s
G= 6.67 x 1011 N.m2/kg is the universal gravitational constant,
r = distance between star and object = (22 light-days)(2.59 x 10¹³ m/1 light-day) = 5.698 x 10¹⁴ m
Therefore,
[tex]M=\frac{(1100000 \mathrm{~m} / \mathrm{s})^2\left(5.698 \times 10^{14} \mathrm{~m}\right)}{6.67 \times 10^{-11} N . \mathrm{m}^2 / \mathrm{kg}^2}[/tex]
M = (9.39 x 10³⁷ kg)(1 solar mass/ 1.989 x 10³⁰ kg)
M = 18.67 x 10⁶ Solar masses
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a thin, 100 g disk with a diameter of 8.00 cm rotates about an axis through its center with 0.18 j of kinetic energy. What is the speed of a point on the rim?
According to the given statement, the speed of a point on the rim is 2.68 m/s.
Why is energy so crucial?Energy is a major factor in our everyday routines even though it is an essential need for humans. Our human-made structures are not only heated by energy, but also cooled by it. To lift you finger, climb out of bed, or even stroll down main sidewalk, you need energy.
kinetic energy = E = 0.18 J
mass = m = 100g = 0.1 kg
diameter = d = 8.0 cm = 0.08 m
Speed = v = ?
v = 2.44 m/s
Briefing:
First convert diameter into radius
r = d/2 = 0.08/2 = 0.04 m
The moment of inertia of disc is given by
I = 0.5mr²
In which m is the disk's mass & r is its radius
I = 0.5(0.1)(0.04)²
I = 0.00008 kg.m²
Additionally, since we are discussing rotating motion, rotational kinetic energy is provided by
E = 0.5 I ω²
we have to separate ω
ω² = E/0.5 I
ω = √E/0.5 I
ω = √0.18/0.5(0.00008)
ω = 67.08 rad/sec
Finally we know that speed is given as
v = ω r
v = 67.08 (0.04)
v = 2.68 m/s
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If Vxi= 10 m/s, then Vxf=_______10m/s
If initial horizontal velocity (Vxi) = 10 m/s, then final horizontal velocity (Vxf) = positive 10m/s.
option B is the correct answer.
What is the horizontal velocity of a projectile?
The horizontal velocity of a projectile is the velocity of the projectile along the x - axis or x - direction.
During the horizontal motion of a projectile, the horizontal velocity of the projectile will be constant since gravity does not act in the horizontal direction.
That is to say, that the initial velocity of the projectile along horizontal direction will be equal to the final velocity of the projectile along the same horizontal direction.
Vxi = Vxf
where;
Vxi is the initial horizontal velocityVxf is the final horizontal velocityThus, If the initial horizontal velocity is 10 m/s. then the final horizontal velocity will be 10 m/s.
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help helphelphelphelp plssssssss
Answer:
heat and pressure is the correct answer
A gas at a pressure of 2.00 atm undergoes a quasistatic isobaric expansion from 3.00 to 5.00 L. How much work is done by the gas?
Answer:
this video shows how to solve the problem :)
Explanation:
Specify the SI unit for the penetration coefficient of ultrasonic waves:
m-1
m/s
non-dimensional quantity
The SI unit for the penetration coefficient of ultrasonic waves is m⁻¹.
option A is the correct answer.
What is penetration coefficient?Penetration coefficient describes the amount of particles reduced from the infiltration of outdoor particles due to the filtering effect of the building envelope.
Ultrasonic waves describes sound waves with frequencies higher than the upper audible limit of human hearing.
The SI unit of penetration coefficient of ultrasonic waves is expressed in either decibels per meter ( dB/mv ), or nepers per meter ( Np/m ) or equivalent to per meter ( m⁻¹ ).
Thus, the SI unit for the penetration coefficient of ultrasonic waves is per meter ( m⁻¹ ).
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A 1.0 kg block is pushed 20 m at a con-
stant velocity up a vertical wall by a constant
force applied at an angle of 26.0° with the
horizontal, as shown in the figure.
The acceleration of gravity is 9.81 m/s².
1 kg
Drawing not to scale.
If the coefficient of kinetic friction between
the block and the wall is 0.20, find
a) the work done by the force on the block.
Answer in units of J.
Answer in units of J
part 2 of 3
b) the work done by gravity on the block.
Answer in units of J.
c) the magnitude of the normal force between the block and the wall.
A 1.0 kg block is pushed 20 m at a constant velocity up a vertical wall by a constant force applied at an angle of 26.0° with the horizontal.The acceleration of gravity is 9.81 m/s². Thus, calculated values are:
a) the work done by the force on the block: 19.62 J
b) the work done by gravity on the block: -19.62 J
c) the magnitude of the normal force between the block and the wall: 17.7 N
What is acceleration?Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate by changing the speed, direction, or both as velocity is a function of both speed and direction.
let m = 1.0 kg
d = 2.0 m
θ = 29°
let, F is the applied force.
let, Fx and Fy are components of F.
As the block is moving upward with constant velocity, net force acting on the block must be zero.
F×nety = 0
or, Fy - m×g = 0
or, Fy = m×g
or, Fy = 1×9.81 N
or, Fy = 9.81 N
a) The work done by the force on the block, WF = Fy×d×cos(0°)
= (9.81×2) J
= 19.62 J
b) The work done by gravity, Wg = Fg×d×cos(180°)
= 1 ×9.81×2×(-1)
= -19.62 J
c) we know, Fy = F×sin(29°)
Fx = F×cos(29°)
Fy/Fx = tan(29°)
Fx = Fy/tan(29°)
Fx = 9.81/tan(29)
Fx = 17.7 N
now use, Fnetx = 0
or, Fx - N = 0
or, N = Fx
or, N = 17.7 N
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A gold sphere of radius R=100 μm and density 19g/cm^3 falls through water. Given the viscosity of water is about 10^-3 Pa s and the density of water is 1.0g/cm^3, calculate the terminal velocity of the sphere. The viscous drag coefficient for a sphere is α=6π.
Don't forget to consider the buoyant force on the sphere when calculating net force!
The terminal velocity of gold sphere is 39.2 cm/s
What is terminal velocity?Terminal velocity is the maximum velocity attainable for an object as it falls through a fluid.
How to calculate the terminal velocity of the gold sphere?The terminal velocity of the gold sphere is given by v = 2gr²(ρ - σ)/9η where
g = acceleration due to gravity = 9.8 m/s², r = radius of sphere = 100 μm = 100 × 10⁻⁶ m = 10⁻⁴ m = 10⁻² cm, ρ = density of sphere = 19 g/cm³, σ = density of water = 1.0 g/cm³ and η = viscosity of water = 10⁻³ Pa-sSo, susbtituting the values of the variables into the equation, we have that
v = 2gr²(ρ - σ)/9η
v = 2 × 9.8m/s²× (10⁻² cm)²(19 g/cm³ - 1.0 g/cm³)/(9 × 10⁻³ Pa-s)
v = 2 × 9.8 m/s² × 10⁻⁴ cm² × (18 g/cm³)/(9 × 10⁻³ Pa-s)
v = 2 × 980 cm/s² × 10⁻⁴ cm² × 2 g/cm³/(1 × 10⁻³ Pa-s)
v = 3920 g/s² × 10⁻⁴/(1 × 10⁻³ Pa-s)
v = 392 cm/s × 10³ × 10⁻⁴
v = 392 × 10⁻¹ cm/s
v = 39.2 cm/s
So, the terminal velocity is 39.2 cm/s
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A student runs a simulation of a skateboarder going back and forth on a U-shaped ramp. The skateboarder begins with 1,560 joules of potential energy. The bar graph shows the energy of the skateboarder system at the end of the simulation. What are the potential energy (PE) and kinetic energy (KE) of the skateboarder at the end of the simulation?
PE = 520 J; KE = 520 J.
PE = 0 J; KE = 1,560 J.
PE = 0 J; KE = 0 J.
PE = 780 J; KE = 0 J.
The potential energy (PE) and kinetic energy (KE) of the skateboarder at the end of the simulation is PE = 0 J; KE = 1,560 J. Hence option 2 is correct.
What is potential energy?Potential energy is defined as the energy stored that an object can hold due to its position in relation to other objects, internal tensions, electric charge, or other circumstances. One of the two types of energy is potential energy, which is the latent energy in an object at rest.
The skateboarder's potential energy is transformed into kinetic energy, also known as the energy of motion, as her position along the track and speed vary. The system's total potential energy determines the maximum amount of kinetic energy the skateboarder can possess.
Thus, the potential energy (PE) and kinetic energy (KE) of the skateboarder at the end of the simulation is PE = 0 J; KE = 1,560 J. Hence option 2 is correct.
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Using the technique of main-sequence fitting to determine the distance to a star cluster requires that _____.
we have telescopes powerful enough to allow us to identify the spectral types of main-sequence stars of many masses in the cluster
To calculate the distance to a star cluster using the main-sequence fitting method, we must first be able to build the cluster's main sequence in order to "fit" it to the standard main sequence.
The vast collections of stars known as stellar clusters. There are two primary categories of star clusters: globular clusters, which are gravitationally coupled tight groups of stars between 10,000 and 500,000 years old, and open clusters, which are more loosely bound groups of stars, typically with fewer than a few hundred members and frequently extremely young. While open clusters are being disrupted over time by the gravitational pull of massive molecular clouds as they move through the galaxy, cluster members will still move through space largely in the same direction even though they are no longer gravitationally bound; at this point, they are known as a stellar association, also known as a moving group.
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Assume that the circuit Figure 21-16 has L equal to 0.60 H, R equal to 280 ohms, and C equal to 3.5 μF. The amplitude of the driving voltage is 150 V rms. At a frequency of 60 Hz, what is the rms current in the circuit?
VL (peak) = VL × √2= 2.335 angle (90) volts is the rms current in the circuit.
Rms current is Root-Mean-Square of instantaneous current values. The RMS value of alternating current is given by direct current which flows through a resistance
How to calculate the rms current in circuit?At resonance the capacitive and inductive reactance are such that they cancel each other and the circuit is entirely resistive at that point
Calculation :so,
At resonance the current is given as
I(rms) = Erms/R = 125 /740 = 0.169 A= 1.6 × 10^-1 A
Now for series RLC circuit the resonant frequency is given as
w= 2πf=1/• LC = 1/√41× 10^-3* 0.44××10^-3
f= 37.94 Hz
The inductive reactance at resonant frequency is given as
xL= jwL = j 2πf×L = j×2×π×37.94×41×10^-3 = j9. 77 ohm= 9.77 angle (90)
as 9.77 angle (90) = 9.77 cos 90+ j9. 77 sin (90) = 0+ j9.77
So the voltage across the inductor is given as
VL= I×XL
=0.16 × 9.77 angle (90) = 1.65 angle (90)
Note this is the rns value for the peak value the voltage is to be multiplied by √2
VL (peak) = VL ×√2= 2.335 angle (90) volts
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The wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.
(a) In the sodium atom from which this light originated, what was the period of the simple harmonic motion which was the source of this electromagnetic wave? Give your answer in seconds per cycle.
(b) What is the frequency of this light wave? Give your answer in hertz.
From wave speed formula, period is 1.96 × 10^-15 seconds per cycle and the frequency is 5.1 × 10^14 Hertz
What is Frequency ?The frequency of a wave is the number of complete revolution per second made by a vibrating body.
Given that the wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.
(a) In the sodium atom from which this light originated, the period of the simple harmonic motion which was the source of this electromagnetic wave will be found by using the formula
v = λ/T
Where
v = speed of light = 300,000,000 m/sλ = wavelength = 589 × 10^-9 mT = periodSubstitute all the parameters
300000000 = 589 × 10^-9/T
T = 589 × 10^-9/300000000
T = 1.96 × 10^-15 seconds per cycle.
(b) The frequency of this light wave is the reciprocal of its period. That is,
F = 1/T
F = 1/1.96 × 10^-15
F = 5.1 × 10^14 Hertz
Therefore, the period of the wave is 1.96 × 10^-15 seconds per cycle and its frequency is 5.1 × 10^14 Hertz
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Which of the models predict that galaxies should be getting farther apart now? (Keep in mind that now is located at at time=0years on the graph.)acceleratingcoastingcriticalrecollapsing
Galaxies should be getting farther apart right now, according to the accelerating coasting critical re collapse model, which is positioned on the graph at time=0 years.
In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force imposed on an object determines its acceleration in relation to that force. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time. An object's speed and direction of motion are specified by its velocity.
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You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While there, you notice that the elf Sneezy, when hanging from a rope, produces a tension of 505 N in the rope
A. If Sneezy hangs from a similar rope while delivering presents at the earth's equator, what will the tension in it be? (Recall that the earth is rotating about an axis through its north and south poles.) Consult Appendix F in the textbook.
The Final tension in the rope is 473.4N.
Sneezy doesn't move in circles at the north pole, so there is no acceleration. The earth's rotation, however, causes him to accelerate toward the earth's center at the equator.Set up: Use coordinates with the y direction pointing toward the center of the earth because the earth has mass and a rotational period of T = 24 hr = 8.64 104 sdot. Sneezy's circular motion at the equator's radial acceleration.Sneezy has a= 0 and T = w = 475.0 N (the earth's gravitational pull) at the north pole. Sneezy weighs 48.47 point-47 kilograms. Sneezy is moving in a circle and experiencing radial acceleration as it approaches the equator.The outward tension is less than the true weight at the equator because there is a net inward force, and Sneezy is moving inward at an acceleration.a=0.0337m/s²
T=mg-ma=m[g-a]
=473.4N
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Find the Thevenin equivalent of the circuit with respect to Z - Express the answer in terms of the Thevenin voltage (Vr), short-circuit current (ise), and Thevenin impedance (ZT).
The Thevenin Voltage (Vr) of the circuit with respect to Z is 6V.
Thevenin Voltage (Vr) is the equivalent voltage source in a Thevenin equivalent circuit. It is the open circuit voltage that exists between the two terminals of a circuit when all other elements are removed.
The Thevenin equivalent of the above circuit with respect to Z is Vr
= 6V, ise = 0.5A, and ZT = 4Ω.
Calculate the Thevenin Voltage (Vr)
Step 1a: Calculate the total resistance in the circuit
Rtotal = (2Ω + 3Ω) || (4Ω + 5Ω)
= (2Ω*5Ω)/(2Ω + 5Ω) + 4Ω
= 7 Ω
Step 1b: Calculate Thevenin Voltage (Vr):
Vr = (Rtotal/(Rtotal + 4Ω))*6V
= (7Ω/(7Ω + 4Ω))*6V = 6V
Calculate the Thevenin Impedance (ZT)
ZT = Total = 7Ω
Calculate the short-circuit current (ise)
ise = Vr/ZT = 6V
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