Answer:
Explanation:
The problem you're describing involves two blocks connected by a rope over a pulley, with each block resting on a separate incline plane. The acceleration of each block and the tension in the rope can be determined using the principles of dynamics and conservation of energy.
Let's call the masses of the two blocks m1 and m2, the incline angles of the two planes θ1 and θ2, and the acceleration of each block a1 and a2.
The net force on each block is given by the sum of the gravitational force, the normal force, and the tension in the rope.
For block 1:
m1 * g * sin(θ1) - m1 * a1 = T
For block 2:
m2 * g * sin(θ2) - m2 * a2 = -T
where g is the acceleration due to gravity and T is the tension in the rope.
From these equations, we can see that the tension in the rope is equal in magnitude but opposite in direction for each block. The acceleration of each block can be found by rearranging the equations and solving for a1 and a2.
The condition for block 2 to be moving down its incline plane is that the net force on the block must be in the direction of motion, which means that the tension in the rope must be less than the gravitational force acting on the block. This can be expressed as:
T < m2 * g * sin(θ2)
Here is a definition of each variable in the problem:
m1: mass of block 1
m2: mass of block 2
θ1: incline angle of the first plane
θ2: incline angle of the second plane
a1: acceleration of block 1
a2: acceleration of block 2
g: acceleration due to gravity
T: tension in the rope
I hope this helps! Let me know if you have any other questions or if you need further clarification.
Challenge: 7) How long would a pendulum have to be if it took 20 swings (cycles) to measure exactly 30 (seconds?
Answer:
1.5
Explanation:
First congratulations, Oneli. I checked you have put up a few questions and a few answers - that makes you an ACTUAL Quora user, rather than a question mill operator!
Next, I have to decide what you meant by “swing”. That could mean a displacement from one extreme to the other, or what clock-makers call a “beat” - or quite possibly you meant what engineers and scientists call a “cycle” Which means a swing from left to right, then back from right to left again,
In this question, it doesn’t really matter if I guess your meaning correctly though: your question said in essence:
given the time for twenty somethings, what is the time for ONE something.
As soon as you visualize this, I hope you can see that one something takes 1/20 of the time for 20 somethings. So far, so good; what IS the time for 20 somethings?> 30 seconds, of course! So we want 1/20 of 30 seconds = 30 / 20 = 3/2 = 1.5 seconds..
Which processes causes thermal conduction in both metals and non-metals?
The process that causes thermal conduction in metals and nonmetals is the movement of free electrons or phonons.
What is thermal conduction?Thermal conduction is the transfer of heat energy through a material by the movement of particles.
In both metals and non-metals, thermal conduction occurs due to the movement of free electrons or phonons, which are vibrations in the lattice structure of a material. In metals, free electrons move through the lattice and collide with atoms, transferring thermal energy from one part of the material to another.
In non-metals, phonons carry thermal energy through the lattice by transferring energy between neighboring atoms through vibrations. Both processes involve the transfer of energy through a material without the bulk movement of particles, resulting in the conduction of heat.
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The piezometer measures a gage pressure of 20 psi at point A. Take rhov = 1.94 slug/ft^3, 0.5 ft and rho Hx = 26.3 slug/ft^31. Determine the height h of the water in the tube. Express your answer using three significant figures. 2. What would be h if the fluid in the tube was mercury? Express your answer using three significant figures.
The solution of the question according to what is given is as follows:
Pressure p= ∫9h
Hence,
a) 20 psi= ∫w 9h
20 x 144= 1.94 (32.2) (h+0.5)
hw= 45.60 ft
Now,
20 psi= ∫Hg (g)
20 x 144= 26.3 (32.2) (h+0.5)
h= 2.9ft
A unit of pressure or stress based on avoirdupois measurements is the pound per square inch, or more precisely, the pound-force per square inch. It is the pressure created when one pound of force is applied to an area that is one square inch. 1 psi is roughly equivalent to 6895 Pa in SI units.
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A charged particle of positivecharge +q rests at the center of a thick, neutral shell of metal conducting material with innerradius a and outer radius b (i.e., the metal itself carries no net charge and extends from radiusa to radius b). Find an expression for the magnitude |E| of the electric field a function of thecharge q and the distance r from the charged particle, for each of the three regions:
a) 0 < r < a b) a < r < b c) b < r.
Because we cannot precisely know an electron's position and velocity at the same time, it is impossible to forecast an electron's journey. Thus, option B is correct.
What is the ultimate velocity?The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction when it has reached its highest velocity. It is easy to determine the final velocity with just few calculations and little conceptual understanding.
A measurement of the velocity of two objects as calculated in an associated with existing system is called relative velocity.
Therefore, Since many physics design systems with the relative movement of two or even more particles, relative velocity is a fundamental concept in both modern and classical physics.
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In the following figure, the horizontal surface on which this block slides is frictionless If the two forces acting on each have magnitude F = 30.0N and M = 10.0kg_ what is the magnitude of the resulting acceleration of the block? 309
The magnitude of the resulting acceleration of the block is 2.598 m/s^2.
What is magnitude?In physics and mathematics, the word "magnitude" refers to the size or intensity of a given quantity or phenomenon. It can be used to refer to a wide range of physical measurements, including force, energy, voltage, and others. A logarithmic scale is frequently used when expressing magnitude because it allows for the comparison of extremely big and extremely small quantities. Magnitude is a term used in astronomy to describe the brightness of celestial objects like stars and galaxies. Magnitude is frequently used in talks about political or cultural change and can also refer to the overall importance or significance of a specific event, idea, or social issue.
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think and solve 5.30 21 of 22 review part a if you stand next to a wall on a frictionless skateboard and push the wall with a force of 50 n n , how hard does the wall push on you? express your answer with the appropriate units.
The wall will push with a force of 50N.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. This means that if you push on the wall with a force of 50 N, the wall will push back on you with an equal force of 50 N in the opposite direction.
So, the answer to the question "If you stand next to a wall on a frictionless skateboard and push the wall with a force of 50 N, how hard does the wall push on you?" is 50 N.
It is important to note that the units of force are Newtons (N), so it is important to include these units in the answer.
In conclusion, if you push on a wall with a force of 50 N, the wall will push back on you with an equal force of 50 N in the opposite direction.
The answer to this question is, therefore, that the wall will exert a force of 50 N.
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A thin infinite nonconducting sheet with uniform surface charge density σ = 11.0·10-6 C/m2 lies in the y-z plane. A charge Q = 6.50 μC is located on the x axis at a distance x= 30.00 cm from the sheet as shown.
Find the magnitude of the electric field at a point P with the coordinates x= y= 30.00 cm, z= 0.
What work must be done against the electric forces in order to move the charge Q from the position x= 30.00 cm to the position x= 20.00 cm on the x axis?
The electric field's magnitude at point P with coordinates is 8.85 mm. E= 2ϵ o/σ and l= 10 −7 ∧2×50×8.85×10 −12
How can one determine the surface charge of an infinite line?E=σ2ϵ0. The proximity of P to the infinitely charge sheet has no bearing on this. The lines of something like the magnetic charge are continuous, homogenous parallel lines.
E = /20r is the magnitude of the electric field produced by an infinite line that is uniformly charged, where r is the distance between the line and the spot where the field is being measured and represents the linear charges density.
The formula is = Q 0. The electric field produced by an infinite thin sheet that is equally charged is given by the equation E=20n, where E is just the electric field, is the area positive charge, and 0 is the electric constant.
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The orientation (a) is lower in electrostatic potential energy than (b). This can be seen by simply drawing the dipole fields, or by noting the relative distances between positive and negative charges in the two cases. In (a) the positive regions of the two dipoles are adjacent to each other. So are the negative regions.
Because the positive and negative regions of the two dipoles are close to one another, there is a larger attraction between the dipoles in orientation (a), which results in a lower electrostatic potential energy than in orientation (b).
When the positive and negative regions of two dipoles are close together in orientation (a) and vice versa, the electrostatic potential energy between the dipoles is smaller than in orientation (b), where the positive and negative regions are farther away.
It's critical to first comprehend the operation of electric fields and charges in order to comprehend why this is the case. A pair of opposite charges that are equally spaced apart form a dipole. The electric field created by a dipole diminishes with distance; it is highest close to the charges and weakest at great distances. The electric field from one dipole affects the charges in the second dipole when two dipoles are brought close to one another.
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why are experiments often preformed in laboratories
Answer:
Experiments are often performed in labs due to safety issues and certain equipement that cannot e taken outside.
Explanation:
Answer
Answer: This is because all of your equipment is readily available, not only that, it’s always better to be in a rather controlled environment!
Explanation: Hope the answer helps!, next time be a little more specific.
fill in the blank. refer to the problem which reads: a test specimen in a tensile test has a gage length of 2.0 ___ for this problem, fracture occurs at a gage length of 2.92 in. determine the percent elongation.
A test specimen in a tensile test has a gage length of 2.0 inches for this problem, fracture occurs at a gage length of 2.92 in. determine the percent elongation.
Percent elongation is a measure of the deformation or stretching of a material before it fractures. Calculated as percentage increase in length of a material sample after it has been subjected to a tensile test .The formula for percent elongation is:
Percent Elongation = (Final Gauge Length - Original Gauge Length) / Original Gauge Length x 100%
% Elongation = (2.92 in - 2.0 in) / 2.0 in x 100
% Elongation = 46%
Therefore, the percent elongation is 46%.
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Which of the following are possible effects that an invasive species can have on an ecosystem?
(MORE THEN 1 ANSWER)
(A)immediate perfect balance of the ecosystem
(B)Overpopulation of the invasive species due to no natural predators
(C)Reduced resources for native organisms
(D)reduced survival rate of native organisms
Question 12 (1 point)
The diaphragm works by increasing and decreasing the size of the thoracic cavity.
True
False
It is a true statement that the diaphragm works by increasing and decreasing the size of the thoracic cavity
Does the diaphragm increase the size of the thoracic cavity?The diaphragm increases the size of the thoracic cavity. The diaphragm is a dome-shaped muscle located between the thoracic and abdominal cavities that separates the two. When the diaphragm contracts, it moves downward, increasing the vertical dimension of the thoracic cavity and creating more space for the lungs to expand.
This results in a decrease in pressure within the thoracic cavity and allows air to flow into the lungs. During inhalation, the diaphragm and intercostal muscles (the muscles between the ribs) work together to increase the volume of the thoracic cavity, which creates a negative pressure gradient that draws air into the lungs. Conversely, during exhalation, the diaphragm relaxes and moves upward, reducing the volume of the thoracic cavity and causing air to flow out of the lungs.
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Hi, can I get some help please? I can't figure this out.
4. As you throw a book upward, two things happen: 1) it moves up and 2) it speeds
up. What two types of energies are you giving the book as you throw it up?
Where does this energy come from? What is the energy transformation? Hint: It
all starts with you. What type of energy do you (and all living organisms) have?
Answer:
Explanation:
As you throw a book upward, two types of energy are given to the book:
Kinetic Energy: The book gains kinetic energy as it speeds up while you throw it upwards.
Potential Energy: The book gains potential energy as it moves upward against gravity.
The energy to throw the book comes from the food we eat, which provides the body with potential energy in the form of glucose. This glucose is broken down in the cells of our body, and the energy released is used to perform physical activities like throwing a book upwards.
The energy transformation involved in this process is the conversion of potential energy stored in the glucose molecule into kinetic energy of the body and ultimately into potential energy of the book. The energy transformation is an example of the Law of Conservation of Energy, which states that energy cannot be created or destroyed but can only be transformed from one form to another.
John is rollerblading down a long, straight path. At time zero, there is a mailbox about 1 m in front of him. In the 5 s time period that follows, John's velocity is given by the velocity versus time graph in the figure. Taking the mailbox to mark the zero location, with positions beyond the mailbox as positive, plot his position versus time in the given position versus time graph. Assuming that all the numbers given are exact, what is John's position at a time of 4.35 s? Enter your answer to at least three significant digits. Assuming that all the numbers given are exact, what is John's position at a time of 4.35 s? Enter your answer to at least three significant digits.
The position of John at time of 4.35 s is -1.13 m
we know that,
at time, t = 0, the initial velocity, u = - 2 m/s
at time, t = 5 s, the final velocity, v = 2 m/s
The average acceleration can be calculated as follows;Acceleration = Δ velocity/ Δ time
Acceleration = v₂-v₁/ t₂-t₁
Acceleration = 2- (-2)/ 5-0 = 4/5= 0.8 m/s²
The position of John at time, t = 4.35 s can be calculated as followsx(t) = ut +1/2 at²
u is velocity
t is time
a is acceleration
x(t) = ut +1/2 at²
x(4.35) = (-2 x 4.35) +0.5 x0.8x(4.35)²
x(4.35) = -8.7 +7.569
x(4.35) = - 1.13 m
Thus, the position of John at time of 4.35 s is -1.13 m
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_______ was an important eighteenth-century geologist who developed the concept of uniformitarianism to explain the slow, steady changes responsible for shaping the earth.
A. james hutton B. isaac newton C. charles darwin D. charles lyell
Charles Lyell was an important eighteenth-century geologist who developed the concept of the uniformitarianism to explain the slow, steady changes which is responsible for shaping the earth. Option D is correct.
Charles Lyell was an important geologist in the late 18th and early 19th centuries. He developed the concept of uniformitarianism, which is the idea that the slow, steady processes we observe today are the same ones that have been operating throughout the history of the earth. This concept was in contrast to the prevailing view at the time, which held that catastrophic events such as floods or earthquakes were responsible for shaping the earth's surface.
Lyell's work was influential in shaping the field of geology and laid the groundwork for the modern understanding of earth processes. His ideas also had a significant impact on the development of evolutionary theory, as they suggested that the earth was much older than previously thought, allowing for enough time for biological evolution to occur.
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A cyclotron designed to accelerate protons has an outer radius of0.330 m. The protons are emittednearly at rest from a source at the center and are acceleratedthrough 600 V each time they cross the gap between the dees. Thedees are between the poles of an electromagnet where the field is0.550 T.
(a) Find the cyclotron frequency for theprotons in this cyclotron.
1____rad/s
(b) Find the speed at which protons exit the cyclotron.
2____ m/s
(c) Find their maximum kinetic energy.
3____eV
(d) How many revolutions does a proton make in the cyclotron?
4___revolutions
(e) For what time interval does one proton accelerate?
5____s
The provided cyclotron's protons have a frequency of 5.31 108 rad/s, an exit speed of 1.71 10 7 m/s, a maximum kinetic energy of 16.4 MeV, make 1060 rotations, and accelerate for 1.24 10-5 s.
Given:
Cyclotron's outside radius is 0.330 metres, and each dee is exposed to 600 volts of voltage.
Between the dees, there is a 0.550 T magnetic field (a) The formula f = qB / (2m), where q is the proton's charge and m is its mass, can be used to determine the cyclotron frequency. The properties of a proton are q = 1.602 10-19 C and m = 1.673 10-27 kg. These values are substituted, and the result is: f = (1.602 10-19 C)(0.550 T) / (2 1.673 10-27 kg).
f = 2.80 × 10^8 rad/s
The protons in this cyclotron therefore have a cyclotron frequency of 2.80 108 rad/s.
(b) Calculating the protons' exit velocity involves comparing their kinetic energy to the work that has been done on them by the cyclotron.
(c) The maximum kinetic energy of the protons is the energy gained by them in the last cycle. The energy gained in each cycle is given by K = qV, as calculated above. Therefore, the maximum kinetic energy is:
K_max = qV
K_max = (1.602 × 10^-19 C)(600 V)
K_max = 9.61 × 10^-17 J
Converting this energy to electron volts, we get:
K_max = 6.00 × 10^5 eV
Therefore, the maximum kinetic energy of the protons is 6.00 × 10^5 eV.
(d) The radius of the cyclotron is given as 0.330 m. Since the protons move in a circular path, their circumference is given by:
C = 2πr
C = 2π(0.330 m)
C = 2.08 m
The time taken by a proton to complete one revolution is given by:
t = C / v
Substituting the values, we get:
t = (2.08 m) / (1.60 × 10^7 m/s)
t = 1.30 × 10^-7 s
Therefore, a proton completes 1.30 × 10^-7 s.
(e) The time interval for which a proton accelerates is half the time period of the cyclotron. The time period can be found using the formula:
T = (2πm) / (qB)
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two circular loops of wire are arranged so that they lie in the same plane and are concentric. one loop, of radius a, is tiny, much smaller than the other, which has radius b, i.e. a << b. if the small loop is driven with a time varying current i(t), derive an approximate formula for the induced emf in the large loop. state the approximations or assumptions you make in your derivation. (10 pts) 2
To derive an approximate formula for the induced emf in the large loop due to the time-varying current i(t) in the small loop, we can use Faraday's Law of Electromagnetic Induction:
What is Faraday's law ?emf = - dΦ/dt
where emf is the induced electromotive force, Φ is the magnetic flux, and t is time. In this case, we want to find the emf induced in the large loop due to the current in the small loop. To do this, we need to calculate the magnetic flux Φ through the large loop due to the current in the small loop.Assuming that the radius of the small loop is much smaller than the radius of the large loop (i.e., a << b), we can make the approximation that the magnetic field due to the small loop is uniform over the area of the large loop. This is because the distance between the small loop and any point on the large loop is approximately the same, and therefore the magnetic field strength at any point on the large loop is approximately the same.To know more about faraday's law , check out :
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For a person riding a roller coaster who is upside down at the top of a loop-the-loop, which of the following statements are true? Choose all that apply The person's apparent weight is always equal to their actual weight. The normal force from the seat on the person points downward. The magnitude of the normal force from the seat on the person depends on how fast the person is moving. The normal force from the seat on the person points upward. SubmitR Request Answer
The statements which are correct here are, options 2 and 3 . The force from the seat is downward and it is depends on the speed of the movement.
What is normal force ?Force is an external agent to change the motion of an object. It is a vector quantity having both magnitude and direction. The normal fore acting on a body is the force exerted by a surface in contact on the body.
Here, the roller coaster is moving upside down. Hence, the force from the seat to the person is downward. The apparent weight of the person does not changing here on motion.
The correct statement are then options 2 and 3. he normal force from the seat on the person points downward. The magnitude of the normal force from the seat on the person depends on how fast the person is moving.
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Communication cannot be reversed
Communication cannot be reversed. This statement is clearly true. Because, we cannot take the words back and undo all the initial effects during communication.
What is reversibility ?An action that can be reversed back to its initial state is called reversible otherwise it is called irreversibility. Communication is irreversible and can be defined as a principle of interpersonal interaction in which we cannot take or retrieve information we say or pass to another party, whether it is what we intended to say or not.
We can wish we hadn't said something, regret it, and apologies later, but we can't take it back because once it's out, it's out.
We're only talking to make up for the unintended consequences of previous communication errors. We believe that taking more care with what we say in the first place can break this seemingly never-ending cycle.
Once a word, phrase, or comment is spoken, or an impulsive text message or e-mail is sent, it cannot be erased from the memory of others. Because communication is irreversible, one should always be mindful of what they communicate to others.
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Your question is incomplete. But your complete question is as follows:
Communication cannot be reversed. True/false ?
fill in the blank. three vectors ___and have the following x and y components: x component 6 -3 2 y component -3 4 5 the magnitude of the resultant sum of ___
Three vectors A, B, and C have the following x and y components: x component 6 -3 2, y component -3 4 5. The magnitude of the resultant sum of A, B, and C
To find the magnitude of the resultant sum of vectors, you can use the Pythagorean theorem and trigonometric functions. Now using the Pythagorean theorem:
|A + B + C| = sqrt[(6-3)^2 + (-3+4)^2] + (2+5)^2]
|A + B + C| = sqrt[3^2 + 1^2 + 7^2]
|A + B + C| = sqrt[59]
Therefore, the magnitude of the resultant sum of A, B, and C is sqrt[59]. Overall, finding the magnitude of the resultant sum of vectors involves combining the individual vectors then using either the Pythagorean theorem or trigonometric functions to determine magnitude and direction of resultant vector.
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A baseball player friend of yours wants to determine his pitching speed. You have him stand on a ledge and throw the ball horizontally from an elevation 6.0 m above the ground. The ball lands 25 m away. What is his pitching speed?
According to the question, the pitching speed of the ball is found to be 20.16 m/sec.
What is meant by Pitching speed?Pitching speed may be defined as the maximum speed of a given pitch at any point from its release to the time it crosses home plate. There are two types of positions that a pitcher may use when making a pitch.
The windup or the stretch. The windup involves a longer motion than the stretch. It has a big leg kick that is thought to give the pitch more power.
The period of flight of the ball is calculated by the formula:
y = [tex]u_yt-1/2at^2[/tex].where y is the vertical height from the ground, is the vertical component of the velocity of the ball, and a is the acceleration due to gravity.
6.0 = 0t - [tex]1/2(9.8m/s)t^2[/tex].
t = [tex]\sqrt\frac{2-(6.0)}{9.8m/s}[/tex] = 1.24 sec.
Thus, the period of flight of the ball is 1.24 seconds.
The horizontal distance traveled by the ball is [tex]x = u_xt[/tex].
Here, x is the horizontal distance traveled by the ball, is the initial speed of the ball in the horizontal direction, and t is the duration of the flight.
25 = [tex]u_x (1.24)[/tex]
[tex]u_x =[/tex] 25/1.24 = 20.16 m/sec.
Therefore, the pitching speed of the ball is found to be 20.16 m/sec.
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1)A reaction is said to be spontaneous when it can proceed in either the forward or reverse direction.a)False. A reaction that can proceed in either forward or reverse directions is in equilibrium.b)False. A reaction can only have a negative Gibbs Free Energy in one direction.c)True. This is the definition of spontaneity.d)True. A reaction can have a negative Gibbs Free Energy in both directions
Yes, this is how spontaneity is defined. A spontaneous reaction is one that can move forward without requiring any energy from outside the system.
What does the term "spontaneous process" mean?A spontaneous process is one that happens inadvertently under specific circumstances. On the other hand, a nonspontaneous process won't happen unless it is continuously "driven" by the input of energy from an outside source.
Which response is a natural one?One that favours the production of products under the reaction's current conditions is called a spontaneous reaction.. A wildfire that is raging is an example of an exothermic reaction, in which the system's energy decreases as energy is released to the As energy is discharged into the environment as heat, the system's energy level decreases.
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the ultimate tensile strength of a material is the maximum amount of tensile stress that it can take before failure, and is measured by dividing the applied load by the
The highest stress that a material can sustain while being stretched or pulled before breaking is known as the Ultimate Tensile Strength (UTS), also abbreviated to tensile strength (TS). When a material is brittle, it fractures shortly after the yield point has been achieved.
What is the tensile strength of a material?With ductile materials, the yield strength is seen concurrently, and ultimate strength is attained when the material keeps stretching until it reaches the breakpoint.
From this curve, we can infer that the ultimate tensile strength (U.T.S. ), max = Pmax /A0. Where Pmax is the greatest load and A0 is the initial cross-sectional area, is the load at failure divided by the original cross-sectional area.
Therefore, The ultimate tensile strength of a material is the maximum amount of tensile stress that it can take before failure, and is measured by dividing the applied load by the original cross-sectional area.
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which of the following are responsible for the repulsive force between two identically charged atoms?
Electrostatic force is responsible for the repulsive force between two atoms charged identically. The electrostatic force is an attractive force as well as a repulsive force induced by the electric charge particles.
The following that are responsible for the repulsive force between two identically charged atoms are electrostatic interactions.
A push or pull on an object that is caused by the interaction of that thing with another object is what we refer to as a force. When two things interact with one another, a force is applied to both of those items. Any force that causes two items to move away from each other is referred to as a repulsive force.
Electrostatic attraction is another type of attraction that can take place between molecules or atoms. On the other hand, it does not create a bond. They interact with one another not through full charges but rather by half charges or dipoles. Electrostatic interactions can either be attractive or repulsive. When the charges have the same positive or negative sign, the electrostatic force acts in a repelling manner.
Your question is incomplete, but most probably your full question was:
Which of the following are responsible for the repulsive force between two identically charged atoms?
van der Waals interactions
covalent bonds
hydrogen bonds
electrostatic interactions
hydrophobic interactions
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negating quantifiers. rewrite each of these statements so that negations appear only within the predicates (that is, so that no negation is outside the a quantifier or an expression involving logical operators.)
We cannot use quantifiers directly to define xP(x) using just negations, disjunctions, and conjunctions. However, we may express the same idea by negating a universal quantifier.
The negation of ∀xP(x), expressed as ¬∀xP(x), indicates the existence of an x for which P(x) is false. This may be stated as follows:
Translate one quantifier to the other using
1) ¬∃x(stuff) <=> ∀x¬ (stuff)
a) ¬∃x∀yP(x, y) <=>
b) ∀x¬∀yP(x, y)
And again use
¬∀x(stuff) <=> ∃x¬ (stuff)
c) ∀x∃y¬P(x, y)
2. ¬∀y∀x(P(x, y)∨Q(x, y))
∃y¬∀x(P(x, y)∨Q(x, y))
∃y∃x¬(P(x, y)∨Q(x, y))
Use DeMorgans Law
¬(stuff∨mush) <=> (¬stuff)∧ ( ¬mush)
∃y∃x(¬P(x, y)∧¬Q(x, y))
3. ¬(∃x∀y¬P(x, y)∧∀x∀yQ(x, y))
Now you do it: use DeMorgan
¬(stuff∧mush) <=> (¬stuff)∨( ¬mush)
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Complete question:
Rewrite each of these statements so that negations appear only applied to predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives).
¬∃x∀yP(x, y)¬∀y∀x(P(x, y)∨Q(x, y))¬(∃x∀y¬P(x, y)∧∀x∀yQ(x, y))assume the int variables i and result, have been declared but not initialized. write a for loop header -- i.e. something of the form for ( . . . ) for the following loop body: result
The code for loop that adds the integers between lo and hi (inclusive), and stores the result in result is written bellow
for (i = lo, result = 0; i <= hi; result += i, i++) {}
There are three statements in a for loop header:i = 0, result = 0; With this statement; the variables I and result are both initialized to 0. At the very beginning of the for loop, it is only ever run once.I <= hi; This statement is carried out after the first statement and once again following the execution of the loop's body of code.result += I i++ This statement is run prior to the second statement but following the code in the loop's body.Consequently, the following series of events will take place:The result variable starts off with a value of 0.The state is then examined. The third statement will be executed if the value of I is less than or equal to the value of hi.The third statement will raise the value of I by one and then add the value of I to the value of result.The second statement's condition will then be verified once more.As long as the condition is still true, this loop will continue to run.
Your question is incomplete but most probably your full question was
Assume the int variables i, lo, hi, and result have been declared and that lo and hi have been initialized. Write a for loop that adds the integers between lo and hi (inclusive), and stores the result in result. Your code should not change the values of lo and hi. Also, do not declare any additional variables -- use only i, lo, hi, and result.NOTE: just write the for loop header; do not write the loop body itself.
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A small object of mass 3.80g and charge −18.0μC is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. What are the magnitude and direction of the electric field?
The electric field will have a magnitude of 2.07 x [tex]10^{3}[/tex] N/C and the electric field will be directed downwards.
How do you determine the size of an electric field?The electromagnetic force exerted on the object by the field must be directed upward and have a strength equivalent to the object's weight for the object to appear to "float" in it.
Thus, [tex]F_{e} = qE = mg[/tex]
The magnitude of the electric field is,
E = mg/ IqI = (3.80 x [tex]10^{-3} Kg[/tex])(9.80 m/s²)/1.80 x [tex]10^{-6}[/tex] C = 2.07 x [tex]10^{3}[/tex] N/C.
How do you tell which way the electric field is going?A negatively charged object experiences an electric force that is directed in the opposite direction as the electric field. Because it must be directed downward, the electric force.
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Two hockey pucks, labeled A and B, are initially at rest on a smooth ice surface and are separated by a distance of 18.0 m. Simultaneously, each puck is given a quick push, and they begin to slide directly toward each other. Puck A moves with a speed of 1.90 m/s, and puck B moves with a speed of 2.70 m/s 7.43 m What is the distance covered by puck A by the time the two pucks collide?
Your answer should satisfy common sense. For instance, can you decide which of the following values for the distance covered by puck A would definitely be wrong, regardless of the speed of the two pucks and considering that the two pucks are sliding toward each other? A. 19 m B. 5 m C. 16 m D. 1 m E. 25 m Type the letters corresponding to the definitely wrong answers in alphabetical order. Do not use commas. For instance, if options C and D are definitely wrong, type CD. _______
The concept of relative velocity. When the two pucks collide, they will have the same final velocity, so we can treat the collision as an elastic collision in one dimension.
What is relative velocity?the conservation of momentum to find the velocity of the two pucks at the moment of collision, and then use the relative velocity to find the distance covered by puck A.Conservation of momentum:
m_A * v_A + m_B * v_B = (m_A + m_B) * v_f
where m_A and m_B are the masses of pucks A and B, respectively, v_A and v_B are their initial velocities, and v_f is their final velocity.
Since the two pucks have identical masses, we can simplify this to:
v_f = (v_A + v_B) / 2 = (1.90 m/s + 2.70 m/s) / 2 = 2.30 m/s
Relative velocity:
The distance covered by puck A before the collision is equal to the distance covered by both pucks together. We can use the relative velocity between the two pucks to find the time it takes for them to collide, and then use this time to find the distance covered by puck A.The relative velocity between the two pucks is:
v_rel = v_B - v_A = 2.70 m/s - 1.90 m/s = 0.80 m/s
The time it takes for the two pucks to collide is:
t = d / v_rel = 7.43 m / 0.80 m/s = 9.29 s
The distance covered by puck A before the collision is:
d_A = v_A * t = 1.90 m/s * 9.29 s = 17.65 m
The only definitely wrong answer is E (25 m), since the distance covered by puck A cannot be greater than the initial separation distance between the pucks (18.0 m). The other answer choices are all within this limit, so they could potentially be correct depending on the speeds of the pucks. Therefore, the answer is E.To know more about relative velocity , check out :
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Let e_1 = [1 0], e_2 = [0 1], y_1 = [2 5], and y_2 = [-1 6] and let T: R2 rightarrow R2 be a linear transformation that maps e1 into y1 and maps e2 into y2. Find the images of [5 -3] and [x_1 x_2].
1.The image of [5 -3] under T is T([5 -3]) = [2x5 - 3x-1, 5x6 - 3x1] = [10 -3, 30 -3]
2.The image of [x1 x2] under T is T([x1 x2]) = [2x1 + 5x2, -1x1 + 6x2] = [2x1 + 5x2, -x1 + 6x2]
An image is a visual representation of something, such as a physical object, a person, a place, or an idea. Images can be two-dimensional, such as a photograph or screen display, or three-dimensional, such as a statue or hologram. Images can be digital or analog, static or dynamic, and can be captured using photography, scanning, or computer graphics.
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four point charges are arranged to fomr a rectangle as shown. find the magnitude and direction of the net field at the center
To find the net electric field at the center of a rectangle formed by four point charges, the principle of superposition can be used.
What is "The principle of Superposition"?The principle of superposition is a fundamental concept in physics and engineering that describes the way that linear systems interact with one another. It states that when two or more linear systems are combined, the resulting effect of their combined inputs is equal to the sum of their individual effects. This means that the output of the system in response to the combined inputs is simply the sum of the outputs that would result from each input separately.
The principle of superposition is a powerful tool for solving complex problems in physics and engineering. It allows engineers and scientists to break down a complex system into smaller, more manageable parts and to calculate the overall effect of each part separately before combining them to find the overall effect of the system as a whole.
To find the net electric field at the centre of a rectangle formed by four point charges.
Assuming the rectangle has sides of length L and the charges are all equal in magnitude, with value q, we can find the electric field at the center of the rectangle as follows:
1. For each corner charge, the distance to the center of the rectangle is sqrt(2) * L / 2, since this is the diagonal distance from one corner to the center.
2. Using Coulomb's law, we can calculate the electric field created by each corner charge at the centre of the rectangle as follows:
E = k * q / r^2
E = k * q / (sqrt(2) * L / 2)^2
E = (2 * k * q) / L^2
3. Since two of the electric fields will point in the same direction and two will point in the opposite direction, subtract the magnitudes of the two opposing electric fields and add the two remaining electric fields together to find the net electric field at the center of the rectangle.
Net electric field = (2 * k * q) / L^2 - (2 * k * q) / L^2 + (2 * k * q) / L^2 - (2 * k * q) / L^2
Net electric field = 0
4. In this case, since the magnitudes of the opposing electric fields cancel out, the net electric field at the center of the rectangle is zero.
Note that this is just an example calculation and the specific values and dimensions of the rectangle and charges will affect the final result.
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