The bottom of the arc would be equal to v0 * 0.707, or 70.7% of her initial velocity.
What is initial velocity?
A physical system's behaviour in terms of the its motion is described using equations of motion. The equations are relationships between different terms and quantities. There are primarily three equations of motion, also known as the laws of constant acceleration, that apply when there is uniform acceleration. Any object subject to forces will accelerate. The object's velocity changes as a result of this acceleration. As a result, the initial velocity is indeed the object's speed before the change brought on by acceleration. The velocity will become the final velocity after the object has been accelerating for a while.
Her speed at the bottom of the arc would depend on the magnitude of the initial velocity and the angle she is swinging out to.
Assuming that the initial velocity is constant, the speed at the bottom of the arc can be calculated using the equation:
v = v0 * cos(θ)
where v0 is the initial velocity and θ is the swing angle.
In this case, v0 is the initial velocity and θ is 45°, so the speed at the bottom of the arc would be:
v = v0 * cos(45°)
Therefore, her speed at the bottom of the arc would be equal to v0 * 0.707, or 70.7% of her initial velocity.
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suppose that in exercise 55 the current is flowing at 1.2 mi/h due south. in what direction should the swimmer head in order to arrive at a landing point due east of his starting point?
The direction in which the swimmer should head in order to arrive at a landing point due east of his starting point is 36.86° or N53.14°E.
How to find out swimmer's direction who is to arrive at a landing point due east of his starting point?
Given:
Velocity of the river: 1.2mi/h
Velocity of the swimmer: 1.2mi/h
The velocity of the river can be represented by:
V= -1.2j (negative sign represents as we head towards south)
So, the velocity of the swimmer can be represented by the vector U as:
U=2cosθi + 2sinθj
Let the true velocity of swimmer be determined as W:
W = U + V
To land at point in the east for the swimmer, he should move horizontally
Hence, the vertical component is equal to zero.
i.e., 2sinθ - 1.2 = 0
2sinθ = 1.2
sinθ = [tex]\frac{1.2}{2}[/tex]
θ = 36.86°
The direction which the swimmer should take is: 36.86° or N53.14°E.
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at an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/sj/s , what is the speed of the bar?
At an instant when the resistor is dissipating electrical energy at a rate of 0.850 j/s , the speed of the bar is 25.88m/s
What is Faraday's law?The fundamental property of electromagnetism known as Faraday's law, commonly referred to as "Faraday's law," aids in our ability to predict how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). Electromagnetic induction is the term for this phenomenon.
The electromagnetic induction rules were put forth by Michael Faraday in 1831. The observation or findings of Faraday's experiments are known as the law of electromagnetic induction or Faraday's law. To understand electromagnetic induction, he conducted three key experiments.
There are two laws in Faraday's Laws of Electromagnetic Induction. The induction of emf in a conductor is described by the first law, and the emf that is created in the conductor is quantified by the second law.
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calculate the force of gravity on a 1-kg mass at earths surface. the mass of eart is 6 x 10^24, and its radius is 6.4 * 10^6
The force of gravity on a 1-kg mass at earths surface is 9.77 N
The formula for the force of gravity is:
F = G Mm/r²
Where, in this case
G = constant of gravity = 6.674 x 10⁻¹¹ N.m²/kg²
M = mass of earth = 6 x 10²⁴ kg
r = radius of earth = 6.4 x 10⁶ m
m = mass of object = 1 kg
Plug these parameters into the formula:
F = 6.674 x 10⁻¹¹ x 6 x 10²⁴ x 1 / ( 6.4 x 10⁶)²
= 40 x 10¹³ / (40.96 x 10¹²
= 9.77 N
Hence, the force of the gravity, or the weight, of a 1-kg mass is 9.77 N
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a 1300-kilogram space vehicle travels at 4.8 meters per second along the level surface of mars. if the magnitude of the gravitational field strength on the surface of mars is 3.9 newtons per kilogram, the magnitude of the normal force acting on the vehicle is (1) 320 n (2) 4400 n (3) 930 n (4) 5070 n
The magnitude of the normal force acting on the space vehicle will be 5070 newtons. So option (4) is correct.
Given that,
The mass of the space vehicle is 1300 kilograms
It travels at a speed of 4.8 meters per second along the level surface of mars.
The g' (gravitational field strength) on the surface of mars is 3.9 newtons per kilogram
We need to find the normal force acting on the space vehicle
We know, N = mg' (where N is normal force)
N = (1300 × 3.9) Newton
N = 5070 Newton
So, the magnitude of the normal force acting on the space vehicle that is traveling at 4.8 meters per second along the level surface of mars will be 5070 newtons.
The normal force is the force that surfaces exert to prevent solid objects from passing through each other. The normal force is one type of ground reaction force.
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a 650-nm laser illuminates a single slit and is observed on a screen 1.2 m behind the slit. the distance between the second minimum on the right and the second minimum on the left is 11 mm. what is the width of the slit?
The width of the slit that illuminates by a 650-nm laser is 0.29mm.
It is a long, narrow cut or opening. Slit is used for diffraction process that affecting waves which are amenable to quantitative description and analysis. Such treatments are applied to a wave passing through one or more slits whose width is specified as proportion of the wavelength.
How to calculate the width of the slit?
Distance of second minimum on one right side of central maximum is 1/2 of total distance between the second minimum on left side and right side.
= 1/2 * 11mm
= 5.5mm
θ = the angular position of the second minimum on right side (also same of left side)
tan θ = 5.5mm / 1.2m = 4.6 * 10^-3
θ = arctan 4.6*10^-3
= 0.26rad
Now let's use the condition for the second minimum
αsinθ = 2λ
α * sin0.26 = 2 * 650 * 10^-9
α * 4.5*10^-3 = 2*650*10^-9
slit width is
α = 2 * 650 * 10^-9 / 4.5 * 10^-3
= 0.29 * 10^-3 m
= 0.29mm
Therefore, the width of the slit is 0.29mm.
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What does dark matter indicate about the origin of the universe?.
Dark matter makes up about 27% of the universe.
Quasars and abundant in dark matter, and with over 2,000 quasars identified today, it is clear that the universe contains a lot of dark matter.
All the stars, spheres and galaxies that can be perceived nowadays make up just 5 percent of the universe. The former 95 percent is prepared of stuff stargazers can't see, notice or even understand. These secretive substances are called dark energy and dark matter.
Experts determine their presence grounded on their gravitational influence on what little bits of the universe can be perceived.
Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark matter was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.
Therefore, from the simple note above, it can be deduced that dark energy of dark matter does not produce electromagnetic radiation.
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What does a gene contain the instructions to make?.
The gene contains the instructions to make a protein that has information about the genetic characters of an organism.
Inside our cells there is presence of DNA.
It is a double stranded deoxyribonucleic acid.
This DNA is the place where the genetic characters resides.
But this DNA is made up of different things like the sugar.
So the genetic material is found in a part of DNA called a gene.
A gene is a short section of DNA.
The genes contain instructions that tell your cells to make molecules called proteins. Proteins perform various functions in your body to keep you healthy. Each gene carries instructions that determine your features, such as eye colour, hair colour and height.
Therefore, the gene contains the genetic information and the instructions to make a protein which determines the characteristics of an individual.
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Is the measure of a system's ability to expand?.
Scalability Is the measure of a system's ability to expand.
Scalability is the measure of a system's capability to grow or decrease in performance and fee in response to adjustments in application and gadget processing needs.
Scalability / Extensibility. refers to a machine's potential to make bigger, change, or downsize without problems to fulfill the converting needs of a commercial enterprise corporation. applications. programs that deal with the entry, control the processing common sense, and provide the desired output.
Scalability refers to the potential of a company (or a system, which includes a pc network) to perform properly below an improved or increasing workload.
A system that scales nicely may be capable of preserving or increasing its stage of overall performance at the same time as it is examined by way of larger and large operational demands. Scalability refers back to the potential of a pc, product, or system to make bigger to serve a large number of customers without breaking down.
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Disclaimer:- your question is incomplete, please see below for the complete question.
____________________ Is the measure of a system's ability to expand?
Explain the relationship between Newton's Third law of action-reaction forces and
Homers rocket experiment.
Every action has an equal and opposite response, according to Newton's Third Law.
Explain about the Newton's 3rd law relate to a rocket?Newton's Third Law of Motion is essential for rocket launch. Through action and reaction, a rocket engine generates thrust. Hot exhaust gases from the engine exit via the back of the engine. In response, the opposing reaction produces a propelling force.
Forces always act in pairs that are equal but opposite, according to Newton's third law of motion. Another way to put it is that there is an equal but opposing reaction to every action. In other words, when you push against a wall, the wall pushes back at you with a force equal to your own.
There is an equal and opposite reaction to every action, according to Newton's third law. The implication of the statement is that there are always two forces acting on the two interacting objects. The force acting on the first object is equal in size to the force acting on the second.
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for the solidifcation of iron calculate the critical radius and the activiation free energy if nucleation is homogenous
The critical radius is 0.146×10⁻⁹m and activation energy of iron is 0.5327×10⁻⁴⁵Joules
We have some data fields, we need to find the critical radius of iron.
We know very well that critical radius is given by the formula
critical radius=(2×Surface energy × Melting point)/Latent heat of fusion
or in other words, r=(2×S×[tex]T_m[/tex])/Δ[tex]H_l_a_t_e_n_t[/tex]
whereas
r is critical radius,S is surface energy, [tex]T_m[/tex] is the melting temperatureΔ[tex]H_l_a_t_e_n_t[/tex] is latent heat of fusionAlso temperature if given in degree celsius, we need to convert this into kelvin,
Using the formula,
K=C+273°
=>K=1538°+273K=1811K
So, putting the respective values, we get
=>r= -(2×0.0204×1811)/(-1.85×10⁹×273)
=>r= (73.88/505.05)×10⁻⁹m
=>r=0.146×10⁻⁹m
Now, talking about the activation free energy.
Activation free energy is given by the formula
G=[16×3.142×(critical radius)³×(Melting point)²] / [(3×(Super Colling value)²×(Latent heat of fusion)²]
So, putting the respective values of different quantities, we get
=>G = [16×3.142×(0.146×10⁻⁹)³×(1811)²]/(3×(273)²×(-1.85×10⁹)²
=>G=(407686.907×10⁻²⁷)/(765226.508×10¹⁸)
=>G=0.5327×10⁻⁴⁵Joules
Hence, if nucleation is homogeneous the critical radius r* is 0.146×10⁻⁹m and the activation free energy ΔG* is 0.5327×10⁻⁴⁵Joules.
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(Complete question) is:
(a) For the solidification of iron, calculate the critical radius r* and the activation free energy ΔG* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are –1.85 × 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value ΔT = 273 K, and the melting point of iron is 1538°C.
FILL IN THE BLANK. The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of: A(n) ___ occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system. A(n) ___ occurs when fusion creates iron in the core of a star. A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the A(n) ___ consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star. A(n) ___ can occur only in a binary system, and all such events are thought to have the same luminosity.
Fill in blank answers are- electron degeneracy pressure, nova, massive star supernova, white dwarf limit, accretion disk and white dwarf supernova
The radius of a white dwarf is determined by a balance between the inward force of gravity and the outward push of electron degeneracy pressure.
A nova occurs when hydrogen fusion ignites on the surface of a white dwarf in a binary system.
A massive star supernova occurs when fusion creates iron in the core of a star.
A white dwarf in a close binary system will explode as a supernova if it gains enough mass to exceed the white dwarf limit.
An accretion disk consists of hot, swirling gas captured by a white dwarf (or neutron star or black hole) from a binary companion star.
A white dwarf supernova can occur only in a binary system, and all such events are thought to have the same luminosity.
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Block in Fig. P5.91 has a mass of 4.00 kg, and block has mass 12.0 kg. The coefficient of kinetic friction between block and the horizontal surface is 0.25. (a) What is the mass of block if block is moving to the right and speeding up with an acceleration of ? (b) What is the tension in each cord when block B has this acceleration?
(a) The mass of the block is 9.45 grams and
(b) the tension is 53.4 N
Given : mass = 4.00 kg and block mass = 12 kg
the coefficient of friction or μ = 0.25
the force can be calculated by ;
(b) F₋ = μmg
F₋ = (0.25)( 12 ) (9.8)
F₋ = 29.4 N
the total force on the block
Fₐ = ma
Fₐ = (12 )(2)
Fₐ = 24 N
F is the applied force
thus Fₐ= F - F₋
F = Fₐ + F₋
F = 24 + 29.4
F = 53.4 N
And now we can calculate the (a) part by ;
(a) F₋ - Fₐ = m₋g - 39.2
m₋g = 53.4 + 39.2
m- = 92.6/9.8
m - = 9.45 g
Thus the mass of the block is 9.45 gram
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a box is sliding down an incline. given that the normal force acting on the box is 10 lb, us is 0.30, and uk is 0.25, what is the force of friction?
A force of friction on a box going down an incline is 3 lbs (N)
What is force of friction?Frictional force is the force created when two surfaces come into contact and slide against one another. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces. friction, a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such as the traction required to walk without slipping, can be advantageous, they also pose a significant amount of resistance to motion.
How do you find the force of friction and what are the forces of friction?The resistive force of friction (Fr) divided by normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.
The force that prevents one solid item from moving across another is known as friction. The four basic types of friction are fluid friction, rolling friction, sliding friction, and static friction.
Briefing:10 lbf = 44.4822161525 N
0.30 us = 0.30 KJ
Weight = 0.25
0.30us-10lbf=3lbs
1. Decide which natural force is present between the object and the earth. Consider a typical force of 0.10 lbf (N)
2. Establish the frictional factor. We can opt for a friction coefficient of 0.30us.
3. Multiplying these figures by one another: (0.10lbf(N)) x 0.30us = 3 pounds (N)
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What are the initial and final potential energies (U; and Ur ) of the hoop? Express the initial and final potential energies symbolically in terms of the variables given in the problem introduction, separated by a comma. 110 AED ? UI,U, U_f= Submit Request Answer
The final and initial changes in the potential are Ui = 1.323 J and Uf =0 in the term of variables in the given problem.
The initial and final potential energies are usually calculate by the formula that has mgh terms.
Here we can calculate mgh :
[tex]mgh = 1/2 Iw^2 + mv^2 /2 \\2gh = r^2 w^2 + v^2\\2gh = r^2 v^2/ r^2 +v^2\\v^2 = gh = 9.8 × 0.75= 2.71 m/s\\w = v/ r= 33.9 rad/sec\\initial energy of potential =vi = mgh = 1.323.\\final energy of potential = vf = 0 as the height is = 0.[/tex]
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a 84.9 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.65 rad/s . a monkey drops a 8.49 kg bunch of bananas vertically onto the platform. they hit the platform at 45 of its radius from the center, adhere to it there, and continue to rotate with it. then the monkey, with a mass of 20.5 kg , drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. find the angular velocity of the platform with its load. model the platform as a disk of radius 1.91 m .
Hence, normal reaction on ball is 4.22N.
Find normal force exerted by the ball on the platform ?Mass,M=1kg
Angular velocity, ϖ=10rad/s
Length of rod, r=0.1m
Angle, α=30o
From the figure,
Horizontal Equilibrium forces.
Tcos30o=mϖ2r=1×102×0.1=10
T=cos30o10=3
20……(1)
Vertical forces in equilibrium.
N=mg−Tsin30o=1×10−3
20×21=4.22N
Hence, normal reaction on ball is 4.22N
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which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
A horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.
ω = 2 π / T
ω = Angular speed
T = Time period
ω ∝ 1 / T
Time period is the time taken by an object to complete one full rotation. A horse near the outside rail of a merry-go-round or a horse near the inside rail will both complete one rotation at the same time. So, angular velocity will be the same for both.
Therefore, a horse near the outside rail of a merry-go-round and a horse near the inside rail will have same angular speed.
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Problem 1: A certain carbon monoxide molecule consists of a carbon atom of mass me 12 u and an oxygen atom of mass 6 = 16 u that are separated by a distance of d= 105 pm, where "u" is an atomic unit of mass. 509 Part ) Write a symbolic equation for the location of the center of mass of the carbon monoxide molecule relative to the position of the oxygen atom. This expression should be in terms of the masses of the atoms and the distance between them (md ( m m ) Correct! 509 Part (b) Calculate the numeric value for the center of mass of carbon monoxide in units of pm *cm +43 10-21) Grade Summary Deductie Potential 100 ( HOXE Submissions E sino cos t ano cotano asino acos atano acotano) cosho tanho) cotanho - Degrees Radians sinho Submit Hint
315 pm is the distance for the center of mass of carbon monoxide in units of pm
distance= Med/Ms-Me
distance=12×10^5/16-12
distance=315 pm
Distance is the length between two locations or objects, and it is directionless. Since distance is a scalar property, it only takes into account the total magnitude and ignores the start and end locations. Since distance is a scalar characteristic, it can only have a positive or zero value; it cannot be negative.
The most common unit of measurement for distance is the meter (m), but you may also use kilometers (km) to describe greater distances and centimeters (cm) or millimeters to represent lesser distances (mm). When calculating distance, the letter D is usually used to denote the distance traveled.
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briefly define asteroid, comet, dwarf planet, meteor, and meteorite. how did the discovery of eris force astronomers to reconsider the definition of planet?
There needs to be some form of differentiation between what size makes a planet because Eris was larger than Pluto and other planets were only marginally smaller than Pluto.
How do you define asteroid, comet, dwarf planet, meteor, and meteorite ?Asteroid: A relatively small, stony object that circles a star; asteroids are classified as "small solar system bodies" by the government.
Comet :A comet is a tiny, ice object that revolves around a star. Comets are classified as "small solar system bodies," the same category as asteroids.
Dwarf planet: An object that orbits the Sun and is sufficiently large that gravity has shaped it almost spherically, but which does not meet the criteria for designation as a planet because it has not yet cleared its orbital neighborhood. The asteroid Ceres and the Kuiper belt objects Pluto, Eris, Haumea, and Makemake are classified as dwarf planets in our solar system.
Meteor: An explosion of light brought on by a space particle burning up in our atmosphere.
A meteorite is a space rock that falls on Earth.
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A plum is located at coordinates (−2.0 m,0,4.0 m). In unit-vector notation, what is the torque about the origin on the plum if that torque is due to a force F whose only component is F z =6.0 N
The torque about the origin on the plum if that torque is due to a force F is 12j.
Torque is a measure of the force that can cause an object to rotate approximately an axis. just as a force is what reasons an object to accelerate in linear kinematics, torque is what reasons an object to gather angular acceleration. Torque is a vector quantity.
calculation -
The torque about origin = v x f
= (-2i + 4k) x (6k)
= -12 (i x k) + 0
= 12j
Torque is the rotational equation of linear force. it's also called the instant, second of force, rotational pressure, or turning impact, depending on the field of observation. It represents the capability of pressure to supply an alternate within the rotational movement of the body.
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If you were to stare at a green dot for a relatively long period of time and then shift your gaze to a blank white screen, you would see a ________ negative afterimage. a. blue b. yellow c. black d. red
If you stare a green dot for a relatively long period of time and then shift your gaze to a blank white screen, you would see a red negative after image.
This is based on the theory of colour vision. It states that all the colours we see and perceive in the natural world are made up of three colour complexes that have the opposite effects. The complexes are the red-green complex, the blue- yellow complex and the black-white complex.
This means that when we perceive one colour, for example, let us take green, the other colour won't be visible. This is what happened here. Later we get to see red and green gets vanished.
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rank these graphs on the basis of the angular velocity of each object. rank positive angular velocities as larger than negative angular velocities.
The angular velocities of each object are based on the assumption B > C > A=F> D=E.
What is velocity, for instance?Velocity can be defined as the rate that an object moves in a specific direction. as the quickness of a car driving north on a motorway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
Can velocity go backwards?The increase in position (displacement) of an object over a period of time is referred to as its velocity. Speed can only be positive, whereas velocity can be either favourable or unfavourable because it combines both speed and direction.
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carmela believes her assistant, lian, is incompetent. she notices only what lian does wrong while ignoring the above average quality of most of her work. this exemplifies FITB bias.
She ignores the above average quality of the most of Lian's work, focusing exclusively on what she does incorrectly. Instance of FITB bias is this.
When people's perceptions of the likelihood of an outcome are clouded by similarities between objects or events, this phenomenon is known as the representativeness heuristic bias. People frequently believe that two related things or events are more closely correlated than they actually are. The Stanford Prison Experiment is frequently used as an example of unethical research. She disregards the above average quality of the majority of Lian's work, focusing solely on what she does incorrectly. As a result, the experiment cannot be replicated by researchers today because it does not adhere to the standards established by numerous ethical codes, including the Ethics Code of the American Psychological Association. This is an illustration of FITB bias.
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Suppose that the universe were infinite in both extent and age. In that case, we would expect the night sky to be ___________.
If the universe was infinite in both extent and age then we would expect the night sky to be uniformly bright.
What is the universe?The universe can be described as all of space and time including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang Theory has given the cosmological description of the development of the universe.
Space and time emerged together approximately 13 billion years ago, and the universe is expanding ever since the Big Bang. While the spatial size of the universe is unknown and we can only measure the size of the observable universe.
From further observational improvements, the Sun can be defined as one of a few hundred billion stars in the Milky Way, which is one of a few hundred billion galaxies and also many of the stars in a galaxy have planets in the universe.
According to the Big Bang theory, matter and energy initially have become less dense as the universe expanded.
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a sealed 89-m3 tank is filled with 6000 moles of oxygen gas (o2) at an initial temperature of 270 k. the gas is heated to a final temperature of 350 k. the atomic mass of oxygen is 16.0 g/mol, and the ideal gas constant is
It is closest to 0.17 MPa when gas is first under pressure.
How does the ideal gas law solve for R?To find R, the gas constant, the ideal gas law can be modified. R=PiViniTi under initial conditions, and R=PfVfnfTf under final conditions. Both expressions are equal to each other because they both equal R. In situations where one or more of the variables are constant, this equation is frequently utilised.
What is the gas constant R measured in?The average number is 8.314 J K-1 mol-1. It is a typical SI unit. To utilise this value exactly, you must: Use K for the temperature.
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Part A When setting up projectile motion questions, which of the following characteristics of projectile motion are important to keep in mind? Check all that apply. Projectile motion is the motion of an object that moves in two dimensions under the influence of gravity and air resistance. Although the horizontal and vertical motions of a projectile are independent, they are connected through the time At that the object is in the air. Projectile motion is made up of two independent motions: uniform motion at constant velocity in the horizontal direction and free-fall motion in the vertical direction.
Projectile motion is the motion in which a body moves in two-dimensional.
Options 2 & 3 are important to keep in kind while working on projectile motion.
Projectile motion is a type of motion that an item or particle (a projectile) experiences when it is launched into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity. Most calculations make the assumption that air resistance has passive and minimal effects in the specific scenario of Earthmoving like a projectile. Galileo demonstrated that the curved path of objects in projectile motion is a parabola, while it is possible that it might also be a straight line when the object is hurled directly above. Ballistics is the study of such motions, and this trajectory is a ballistics trajectory. Gravity is the only force acting on the item that has any mathematical meaning.
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o apply the biot-savart law to find the magnetic field produced on the z axis from current elements in the xy plane. in this problem you are to find the magnetic field component along the z axis that results from various current elements in the xy plane (i.e., at z
The Biot-Savart law is used to represent the magnetic intensity because of the availability of magnetic current.
In physics, explicitly electromagnetism, the Biot–Savart law is a condition representing the attractive field produced by a constant electric flow. It states that “ magnetic field due to a current carrying conductor at a distance point is inversely proportional to the square of the distance between the conductor and point, and the magnetic field is directly proportional to the length of the conductor, current flowing in the conductor”.
The Biot Savart Law signifies that it is a scientific articulation which shows the attractive field delivered by a steady electric flow in the specific electromagnetism of material science. It tells the attractive field toward the greatness, length, heading, just as closeness of the electric flow.
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What is the minimum energy needed to change the speed of a 1600-kg sport utility vehicle from 15. 0 m/s to 40. 0 m/s?.
The power required to change a sport utility vehicle's speed is 2725 Watt.
What is speed?A measure of how quickly an object's location can shift in any direction. Speed is defined as the distance traveled divided by the time required to cover that distance. It is a scalar because speed only has a directions and no magnitude. In common usage and kinematics, the speed of an object is a scalar quantity and is defined as the amount of the change within this object's motion per unit of time or over time.
How do you calculate the speed and its measurement?Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in metres per second (m/s) in this example since the distance is measured in metres (m) and the time is measured in seconds (s).
Speed is a unit of measurement for how quickly something is moving. The most popular speed measurements are miles per hour (mph), kilometers per hour (km/h), and metres per second (m/s).
Briefing:Mass of the sport utility = 1600kg
Initial velocity (v1) - 15m/s, (152 = 225)
Final velocity (v2) - 40m/s, ( 402 = 1600)
To find the energy required, Kinetic energy (K.E) = 1/2 mv2
K.E = final K.E - initial K.E
= 1/2(v2-v1)
= 1/2×1600×(1600-225)
= 80 × 1375
= 11000 J
Power = Energy (E)/Time (t) = 1100joule/4sec
= 2725Watt.
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figure 8-41a applies to the spring in a cork gun (fig. 8-41b); it shows the spring force as a function of the stretch or compression of the spring. the spring is compressed by 5.5 cm and used to propel a 3.8 g cork from the gun. (a) what is the speed of the cork if it is released as the spring passes through its relaxed position? (b) suppose, instead, that the cork sticks to the spring and stretches it 1.5 cm before separation occurs. what now is the speed of the cork at the time of release?
The answers are (a) velocity, v=2.8m/s , mass, m=0.0038kg and x=0.055m.
(b) v=2.7m/s.
What is potential energy ?Any object or system that has stored energy as a result of its position or component arrangement is said to have potential energy. Nevertheless, it is unaffected by external factors like air pressure or altitude. On the other hand, kinetic energy is the force that propels a moving object or group of particles.
(a) By equating the compressed spring's potential energy to the cork's kinetic energy at release, we have
The formula is :
k = [tex]\frac{1}{2} mv^2[/tex]
v = [tex]\sqrt{\frac{2k}{m} }[/tex]
And potential energy of spring = [tex]\frac{1}{2}mx^2[/tex]
On equating these two equations we get ;
v = x[tex]\sqrt{\frac{k}{m}[/tex]
After substituting the value of x = 5.5 cm and m = 3.8g we would get
v=2.8m/s m=0.0038kg and x=0.055m.
(b) In the novel scenario, there is some potential energy present just before release. Energy conservation changes when d=0.015m.
Similarly solving the question we get :
v = 2.7 m/s
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what is the ratio of the volume of the bubble as it reaches the surface ( vs ) to its volume at the bottom ( vb )?
The ratio of volumes of the bubble is Vs/Vb= 3.74
How do you find the ratio of the volume ?Divide the entire surface area by the total volume to determine the volume ratio. The surface area to volume ratio is another name for this. It's crucial that the volume and surface area measurements use the same units. If the surface area is specified in square feet, for instance, the volume must be measured in cubic feet.The quantity of surface area per unit volume of an item or group of objects is known as the surface-area-to-volume ratio, sometimes known as the surface-to-volume ratio and variably abbreviated as sa/vol or SA:V.The density of an object is the ratio of the mass to the volume of that thing. By dividing an object's mass by its volume, density is determined.Find the attachment answer
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Learning Goal: To practice Problem-Solving Strategy 8.1 for circular-motion problems. A cyclist competes in a one-lap race around a flat, circular course of radius 140 m . Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s . The mass of the bicycle (including the rider) is 76 kg . What is the magnitude of the net force Fnet acting on the bicycle as it crosses the finish line?
A)
Which of the following sets of rtz coordinate axes is the most appropriate for this problem? The black dot represents the bicycle + rider at an arbitrary instant during the race.
The magnitude of the net force on the bicycle as it crosses the finish line is 1.26 N.
Here, we have been told that the radius of the course, r is = 140 m (i)
The time taken to cover the entire course is = 60 s (ii)
The mass of the bicycle is = 76 kg (iii)
We know the formula = a = v²/r. Using this formula and the values of (i), (ii), and (iii), we get -
= a = Δv/Δt = v - 0/60
= v = 1.53 m/s
Nt force due to weight and normal force are canceled. But the force due to the centripetal acceleration is -
= mv²/r
= 76*(1.53)²/140
= 1.26 N
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