The emf created around the wooden loop is equivalent to the emf generated around the wire loop if the loops are moved precisely the same distance from and closer to the magnets.
Give an explanation about EMF.
The electric potential created by either modifying the magnetic field or by an electrochemical cell is known as electromotive force (emf).
Due to the fact that Faraday's law is independent of the material and only considers how the flux is changing, the emf produced around the wooden loop is equivalent to the emf produced around the wire loop. Due to the fact that the loop material moves close to the end of the bar magnet, modifying the magnetic flux through the loop, even though it is not a part of the magnetic flux expression, an emf is nevertheless produced.
Hence, the answer is the emf created around the wooden loop is equivalent to the emf generated around the wire loop if the loops are moved precisely the same distance from and closer to the magnets.
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a wave propagates at a well defined velocity that depends on the properties of the medium that carries the wave. group of answer choices true false
the statement is True
Oscillations cause disturbances in the medium, and these disturbances, are known as waves and, they propagate or move from one place to another.
There are several types of waves:
mechanical waves are those that propagate through a material medium.
electromagnetic waves are those waves that travel without a physical medium.
A wave moves at a certain speed based on the kind of medium it propagates through.
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An engineer is investigating potential energy with two identical magnetic roller coaster cars on different sides of a center magnet that cannot move. To test her ideas, the engineer will move one car one space. Which movement will result in the largest increase in potential energy?.
Movement that will result in the largest increase in potential energy : All the movements will result in the same change in potential energy because they each move a roller coaster car for the same distance.
Which movement will result give largest increase in potential energy?Since they move in the same direction, therefore share the same magnetic qualities and move one unit identically.
The potential energy increases because train moves against the magnetic force and potential energy does not change because the magnets in the system do not change. Engineer is experimenting with two identical magnetic roller coaster cars on the different sides of a center magnet that cannot move.
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how does a period of extremely fast inflation very early in the history of the universe explain the observation that the geometry of the universe looks flat (not curved) to us?
The observation that the geometry of the universe looks flat (not curved) to us is inflation increased the size of the universe so much that the resulting universe looks flat from any point of view
What caused inflation in the early universe?It is presently thought that the cause of the discovery is that space itself is expanding, and that it expanded very rapidly in the first fraction of a second following the Big Bang, based on a significant amount of experimental observation and theoretical work.
The cosmos initially expanded faster than the speed of light (light's speed restriction only applies to objects within the universe). Its early chaos was smoothed out as a result, and it also meant that distant portions that are today far apart were once in close proximity and could exchange heat.
And it undoubtedly did. That was in the first nanosecond of the universe's existence, during the era of inflation.
The complete question is : How does a period of extremely fast inflation very early in the history of the universe explain the observation that the geometry of the universe looks flat (not curved) to us?
a. during inflation a lot of the mass drained out of the universe, leaving its gravity much weaker
b. inflation increased the size of the universe so much that the resulting universe looks flat from any point of view
c. inflation led to the production of so much dark matter that the universe got pulled into the shape of a black hole
d. inflation caused the temperature of different parts of the universe that can't see each other still be the same
e. The universe is actually highly curved and not flat
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Determine the velocity of a car that starts at rest and has a final velocity of 20 m/s north.
Answer:
I don't know what your on about because l am 10
the processes that generate big data can be described by the following four attributes or dimensions: a. variety, vectors, veracity, and velocity b. tall data, wide data, narrow data, and big data c. volume, variability, veracity, and velocity d. volume, variety, veracity, and velocity
The four dimensions are volume, diversity, velocity, and truth, according to IBM data experts.
D is the ideal choice.
What characteristics do huge data have?volume, variety, speed, and reliability
Big data is divided into four aspects by IBM data scientists: quantity, diversity, speed, and truthfulness. This infographic describes each and provides examples.
Which of the following describes the size of the data generated?Volume, the first of the five "V's" of big data, refers to the total amount of data. Volume is similar to the foundation of big data because it represents the initial size and volume of data that is gathered. Big data can be used to describe data that is sufficiently enormous in volume.
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please someone help i don't know how to do this
The highest kinetic energy occurs at the points A and G. The highest potential energy occurs at point D.
What is kinetic energy?We know that kinetic energy has to do with energy that is in motion. On the other hand the potential energy is the energy that is at a point. Both the kinetic energy and the potential energy are all the kinds of mechanical energy.
We have to look at the points where the object would have the highest velocity and these are the points where the kinetic energy of the body is maximum and this would occur at the points A and G. The points where the body has a maximum potential energy is the highest point and this at point D.
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two resistors having values of 6 ω and 12 ω are connected in parallel to a 36 v battery. find the power dissipated by the 6 ω resistor.
The power dissipated by the 6 Ω resistor is: 36 W
What is resistor?
A resistor is a two-terminal passive electrical component used in circuits to implement electrical resistance. Resistors have a variety of uses in electronic circuits, including lowering current flow, adjusting signal levels, dividing voltages, biassing active components, and terminating transmission lines. High-power resistors that really can generate many watts of heat instead of electrical energy can be used as test loads for generators, power distribution systems, and motor controls. With temperature, time, or operating voltage changes, fixed resistors' resistances only slightly fluctuate. Resistors are widely used in electronic equipment and are common components of electrical circuits and networks.
The power dissipated by the 6 Ω resistor is:
P = (36 V)2 / (6 Ω + 12 Ω) = 36 W
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Can someone please help meeeeeeee! I’m so bad at these stuff. Ill give brainliest too
A diver in the pike position (leg? straight _ hands on ankles) usually makes only one or onc-and-a-half rotations. To make tWO Or three rotations_ thie cliver goes into tuck position (knees bent , body curled up tight) . Why? 12.62 A 120-Cm-wide sign hangs from 5.0 kg; 200-cm-long pole cable of negligible maSS supports the end of the rod as shown in the figure_ What is the HaXimu maSS of the sign if the maxinm tension in the cable without breaking is 300 N? Note: You will be graded On your use of all elements from Dynamics Worksheet Problem 2. Cable 250 cm 200 cm PATSIES SHIPPE 80 cm
It's crucial to understand that when a diver leaps off a springboard, their angular momentum stays constant until they touch the water's surface.
Despite acting on the diver, gravity does not exert a net positive or negative torque on the diver since it passes through the diver's center of mass. The diver can make two to three rotations when in the tuck position, but only one or two rotations when in the pike position. The moment of inertia of the two places is the cause. The moment of inertia of the diver in the tuck position can be lower. Given that the diver's angular speed is inversely proportional to the moment of inertia, she will make more rotations for the constant angular momentum.
I1w1 =I2w2
w1/w2 = I1/I2
I1 = mr1^2
I2 = mr2^2
r2<r1
then I2<I1
w1/w2<1
w1<w2
From the above analysis we can say that the angular velocity is less in the first case than in the later case which means the number of rotations made in the tuck position is more than number of rotations made than that in pike position.
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Rank in order, from least stable to most stable, the three glasses of water shown. Rank the glasses from least stable to most stable. If two glasses have the same stability, place one on top of the other.
Tall narrow, tapered, short fat is correct answer.
What is Glass?
Glass is a transparent, solid-like material that is used in a variety of everyday items. The three naturally occurring primary raw materials needed to produce glass are sand, soda ash, and limestone. To make glass, these materials are melted at very high temperatures. At low temperatures, glass behaves like a solid, but at high temperatures it has a structure similar to that of a liquid. In order to create a wide range of shapes, glass can be poured, blown, pressed, and moulded.
A lengthy history of glass manufacture dates back to around 3500 BC, when it is believed that glass was first artificially created in Egypt and Mesopotamia for use as jewellery and then as vessels.
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explain the relationship between diffraction angle and wavelength using the two dimensional diffraction relationship n
Diffraction is defined as the bending of waves through an aperture or around the edges of an obstruction into the vicinity of the barrier and The wavelength's length directly affects the angle of diffraction.
Why is it called wavelength?When electromagnetic radiation such as radio waves, light waves, or infrared (heat) waves travel through space, they leave behind distinctive patterns. The wave has a distinct size and shape. Wavelength is the separation between peaks (high points).
What occurs if the wavelength is boosted?A wavelength's frequency plus energy (E) drop as it gets longer. You may conclude from these formulas that the length gets shorter as the frequency rises. The wavelength lengthens as the frequency drops.
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each of the following statements is best associated with one of the four major geological processes. drag each statement into the correct bin for its associated process.
The natural forces that mold the planet's surface are geological processes. These processes take place over millions of years and thousands of kilometers at enormous scales.
Impact Catering
Impact Catering mainly took place during the intense bombardment. It is comparable ways across all solid worlds.
Volcanism
Volcanism fashioned the silky lunar maria. eliminated almost all of Io's craters. responsible for the waters and atmosphere on Earth.
Tectonics
This geological process concerns the motion of plates on Earth. This
includes the compression of the surface that creates mountains.
Erosion
Features sculpted by wind are included in erosion.
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an object moves halfway around a circle of radius r. an inward radial force of magnitude f is exerted on it. the work done on the object by the radial force being exerted on it is
The item moves halfway around a circle of radius r. an inward radial pressure of magnitude f is exerted on it. the paintings done on the item through the radial force being exerted on it is zero.
In physics, paintings is the power transferred to or from an object via the software of pressure along a displacement. In its most effective form, for a consistent strain aligned with the direction of motion, it equals the fabricated from the force strength and the gap traveled.
The work modifications the quantity of mechanical and internal electricity possessed with the aid of devices. whole paintings is carried out on a gadget or object, power is added to it.
The individual of labor accomplished can be categorised in three instructions. they're +ve paintings, -ve paintings and 0 work. The character of work is based upon at the attitude amongst stress and displacement..
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Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown:
%u2212(1/2)%u03BB 2%u03BB %u22125%u03BB (3/2)%u03BB 0 (17/2)%u03BB (6/2)%u03BB Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves.
Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.
The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
Constructive and destructive interference:
For interference, the waves must be coherent.
Two coherent waves interfere constructively when the path difference is equal to an integral multiple of the wavelength.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
So pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Therefore, the interference is in the pair ADF which is interfere destructively.
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[NOTE: THE COMPLETE QUESTION IS:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively enter ABD,CF.]
The pair BCEG will interfere constructively, while the pair ADF will interfere destructively.
From the question, we have
When the path difference is equal to an integral multiple of the wavelength, two coherent waves interact positively.
That is the path difference must be mλ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair BCEG interfere constructively
Two coherent waves interfere destructively when the path difference is equal to a half-integral multiple of the wavelength.
That is the path difference must be (m+1/2)λ
where m = 0,1,2,3.... is an integer and λ is the wavelength
Hence, the pair ADF interfere destructively
Interference:
Interference is what happens when two or more waves meet each other. Depending on how the peaks and troughs of the overlapping waves line up, they may add up or may partially or completely cancel one another. According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.
Complete question:
Now consider a wave which is paired with seven other waves into seven pairs. The two waves in each pairing are identical, except that one of them is shifted relative to the other in the pair by the distance shown: A. -(1/2) ?B. 2?C. -5?D. (3/2)?E. 0F. (17/2)?G. (6/2)?Identify which of the seven pairs will interfere constructively and which will interfere destructively. Each letter represents a pair of waves. Enter the letters of the pairs that correspond to constructive interference in alphabetical order and the letters of the pairs that correspond to pairs that interfere destructively in alphabetical order separated by a comma. For example if pairs A, B and D interfere constructively and pairs C and F interfere destructively
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a long straight wire carries current to the right. above the wire is a square wire loop. if the loop moves away from the long ,straight wire what is the direction of the induced current in the loop?
The loop's induced current flows counterclockwise because a long, straight wire carries current in that direction (to the right). There is a square wire loop above the wire. if the loop departs from the lengthy.
The loop's magnetic flux will decrease as the current in wire AB in the wire drops. Therefore, to counteract the drop in magnetic flux, the current introduced into the loop must be counterclockwise. Induced current definition The current that results from electromagnetic induction is known as the induced current. The production of electric power relies heavily on electromagnetic induction. Typically, metal is drawn through a hole in a die or draw plate to create wire. There are numerous standard sizes for wire gauges.
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a laser emits photons continuously at a rate of 6.8*1016/s. if the wavelength of the photons is 641 nm, what is the laser power in mw?
The laser power is 27,69 mW.
Power= energy/sec = J/s
Photon energy= hf= hc /wavelength
# of photons/sec = power/ photon energy= rate of emission
Photon Energy= ( 6.63 × [tex]10^{-34}[/tex]) × 3×[tex]10^{8}[/tex] / 6.8×[tex]10^{16}[/tex] ≈ 3.147 ×[tex]10^{-42}[/tex] J
This should be ignored. It is part of the units and not the equation.
Power/3.147 × [tex]10^{-42}[/tex] = 8.8 × [tex]10^{26}[/tex] [tex]s^{-1}[/tex]
Power= 8.8 × [tex]10^{-26}[/tex]- 3.147 × [tex]10^{-42}[/tex] J= 0 .02769 W = 27.69 mW
How is laser power determined?
The energy levels of the electrons in the atoms of the material used to create the laser beam—often referred to as the "lasing" material—determine the intensity of the laser beam. The wavelength of the light generated by the lasing material has an inverse relationship with the energy level of the photons that are created by it.
Can a laser's power be increased?
The intensity of the light increases with the amount of energy used to excite those atoms in the laser. It almost resembles dialing up the sound system's volume control. However, if you turn that level up too loud, you run the danger of harming your hearing or the sound system itself.
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suppose that a disk of indefinite radius is rotated at an angular velocity w in a large volume of liquid
The central angle relating to an object's position on a circle changes as it moves along a circular path.The rate at which this angle changes with respect to time is known as the angular velocity, denoted by the symbol w.
A Ferris wheel, for instance, might rotate pi / 6 radians every minute.
If a disk of indefinite radius is rotated at an angular velocity $w$ in a large volume of liquid, the liquid will experience a force known as the centrifugal force.
This force is directed radially outward from the axis of rotation and is given by the equation $F = mrw^2$, where $m$ is the mass of the liquid, $r$ is the distance from the axis of rotation, and $w$ is the angular velocity.
The magnitude of the force increases with the mass of the liquid, the distance from the axis of rotation, and the angular velocity of the disk.
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Scientists at a metallurgic factory are testing different metals to study the strength of the electrical forces between their atoms. They determined the force needed to bend a sheet of each metal and found that metal a requires 50 n of force, metal b requires 30 n, metal c requires 70 n, and metal d requires 100 n. Which metal will have the lowest melting point?.
The metal that has the lowest melting point must be the metal that has the lowest density and therefore is easiest to bend. That is metal B.
The melting point of the metal depends upon the types of bonds between the metal atoms. The relationship between the melting point of a substance and the strength of the intermolecular force of that substance is directly proportional. That means that the stronger the intermolecular forces of the substance, the higher the melting point of the substance.
Tungsten has the highest melting point of any metal in the periodic table is 3422 °C.
As the strength of the intermolecular forces increases, more energy is needed to disrupt the attraction between these molecules. As a result, increasing intermolecular forces results in a concomitant increase in melting point.
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A bowler uses a lane with a coefficient of kinetic friction of 0.211. The bowler releases her 5.20 kg bowling ball with a translational speed of 2.35 m/s. At the moment of release, the ball is not rotating. As the ball slides, it begins to rotate.
What is the work nc done by friction on the ball before it transitions to rolling without slipping? Use =9.81 m/s2 for the acceleration due to gravity.
The work done by friction on the ball before it transitions to rolling without slipping is 7.04 J.
What is the final velocity of the bowling ball?
The final velocity of the bowling ball is calculated by applying the principle of conservation of angular momentum as follows;
Li = Lf
mv₁r = mv₂r + Iω
where;
I is the moment of inertia of the bowlω is the angular velocity of the ballv₁ is the initial velocity of the ballv₂ is the final velocity of the ballmv₁r = mv₂r + (²/₅mr²)ω
mv₁r = mv₂r + (²/₅mr²)(v₂/r)
mv₁r = mv₂r + (²/₅mr)(v₂)
r(mv₁) = r(mv₂ + ²/₅mv₂)
mv₁ = mv₂ + ²/₅mv₂
v₁ = v₂ + ²/₅v₂
v₁ = 7v₂/5
7v₂ = 5v₁
v₂ = 5v₁/7
v₂ = (5 x 2.35 m/s)/7
v₂ = 1.678 m/s
The work done by friction on the ball before it transitions to rolling without slipping is calculated as follows;
work done by friction = change in kinetic energy of ball
ΔK.E = ¹/₂m(v₂² - v₁²)
ΔK.E = ¹/₂ x 5.2(1.678² - 2.35²)
ΔK.E = -7.04 J
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Answer:
-7.03266 N
Explanation:
Work = Final kinetic energy - initial kinetic energy
[tex]W_{nc} = K_{f} - K_{i}[/tex]
Finding initial kinetic energy:
[tex]K_{i}=\frac{1}{2}mv^{2}= \frac{1}{2}(5.2)(2.35)^{2}=14.3585\\[/tex]
Finding final kinetic energy:
We have mass, but don't have final velocity. Have to find [tex]v_{f}[/tex] next.
We can use the kinematics equation combined with the fωorce equation. The force that slow the ball down is friction force. [tex]v_{f}=v_{0}+at=v_{0}+\frac{F}{m}t=v_{0}-\frac{f}{m}t[/tex]
Finding f/m
f=μmg ⇒ (f/m)=μg=0.211(9.81)=2.06991
Plug that back into the equation
[tex]v_{f}=2.35-2.06991t[/tex]
Now to find time, we can use angular velocity
τ=fR and α=τ/I and [tex]I=\frac{2}{5}MR^{2}[/tex], so [tex]\alpha =\frac{fR}{\frac{2}{5} MR^{2}}=\frac{5ug}{2R}[/tex]
ω=αt=(5μg)(t)/(2R)=5.174775(t/R)
v=rω=5.174775t
Therefore, [tex]v_{f}=2.35-2.06991t=5.174775t[/tex]
t=0.32437
Plug time back into the v_f equation.
[tex]v_{f}=2.35-2.06991(0.32437)=1.67858[/tex]
Plug v_f back into the K_f equation
[tex]K_{f}=\frac{1}{2}mv^{2}= \frac{1}{2}(5.2)(1.67858)^{2}=7.32584[/tex]
Work done by friction
[tex]W_{nc} = K_{f} - K_{i}=7.32584-14.3585=-7.03266[/tex]
in blind cave fish, eyes do not form. however, transplantation of the lens from a closely-related aboveground fish into the optic cup of the cave fish induces eye development. what does this suggest about the loss of vision in the cave fish?
According to Moran, the evidence points to pleiotrophy and energy savings as two key factors in the cavefish eye loss.
How does evolution explain why cavefish are blind?Mexicanus was created through natural selection, pleiotropy, and genetic drift, not through human initiative. Organisms get what they need via natural selection. The fish must conserve energy to avoid going blind. Fish lose their eyes because they are unnecessary.
Why is cavefish's vision not more crucial?The Mexican tetra (Astyanax mexicanus) has been evolving in caves for the last few million years in forms that are blind. The loss of eyes is a major benefit for creatures living in the dark since maintaining eyes and the visual regions of the brain requires a lot of energy. The cavefish instead "sees" by sucking.
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• (n) if we take the potential energy of a i oo-kg object and earth are zero when the two are separated by an infinite distance, what is the potential energy when the object is at the surface of earth? (b) find the potential energy of the same object at a height above earth's surface equal to earth's radius. (c) find the escape speed for a body projected from this height.
The potential energy of the object when it is at the surface of the Earth is -3.53 x 10^14 J
What is potential energy?
Potential energy in physics is the energy that an object retains as a result of its position in relation to other objects, internal stresses, electric charge, or even other elements. The gravitational potential of an object, this same elastic potential energy of a stretched spring, as well as the electric potential power of the an electric charge inside an electric field are examples of common types of potential energy. The joule, denoted by the letter J, is the energy unit inside the International System of Units (SI). Although it has connections to the Greek philosopher Aristotle's idea of potentiality, the term "potential energy" was coined by the Scottish engineer as well as physicist William Rankine in the 19th century.
(a) The potential energy of the object when it is at the surface of the Earth is equal to the gravitational potential energy, which is calculated by the equation:
PE = -GmM/r
Where G is the gravitational constant (6.67 x 10^-11 m^3 kg^-1 s^-2), m is the mass of the object (100 kg), M is the mass of the Earth (5.98 x 10^24 kg) and r is the distance between the object and the center of the Earth (6.37 x 10^6 m).
Therefore, the potential energy of the object when it is at the surface of the Earth is:
PE = -GmM/r = -6.67 x 10^-11 x 100 x 5.98 x 10^24 / 6.37 x 10^6 = -3.53 x 10^14 J
(b) The potential energy of the object when it is at a height above the Earth's surface equal to the Earth's radius is calculated by the same equation as above, but with a different value for r. Since the height is equal to the Earth's radius, the distance between the object and the Earth's center is doubled and the potential energy is equal to:
PE = -GmM/r = -6.67 x 10^-11 x 100 x 5.98 x 10^24 / (2 x 6.37 x 10^6) = -1.76 x 10^14 J
(c) The escape speed for a body projected from this height is calculated by the equation:
v_esc = sqrt(2GM/r)
Where G is the gravitational constant (6.67 x 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (5.98 x 10^24 kg) and r is the distance between the object and the Earth's center (2 x 6.37 x 10^6 m).
Therefore, the escape speed for a body projected from this height is:
v_esc = sqrt(2GM/r) = sqrt(2 x 6.67 x 10^-11 x 5.98 x 10^24 / (2 x 6.37 x 10^6)) = 11.2 km/s
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g an apple pie in a 9.00 in diameter plate is placed upon a rotating tray. then, the tray is rotated such that the rim of the pie plate moves through a distance of 158 in. express the angular distance that the pie plate has moved through in revolutions, radians, and degrees.
The angular distance should be the angular distance that the pie plate has moved through in revolutions, radians, and degrees are 5.59 revolution and 2012.4° respectively.
In revolution, θ = 8.24 revolution.
In radian = θ = 57.78 rad.
In degree θ = 2966.4°.
Calculation of the angular distance:
Since
Pie diameter = 9 in
So, the circumference of the pie should be
P = πd = 9π in
And, rim of the pie rotates 158 in,
So,
1 Revolution of the pie is 9π in,
So, for 158 it should be
= 158 in / 9π in revolution
= 5.59 revolution
Now in the case when
1 revolution is 2πrad
So,
5.59 revolution = 5.59 × 2π = 87.79 rad.
And also, 1 revolution is 360°
5.59 revolution = 5.59 × 360 = 2012.4°
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the technology that allows engineers to penetrate rock at multiple angles instead of simply a straight line is called(1 point)
The method used by engineers to pierce rock at angles other than just a straight line is known as directional drilling.
What is method?
A procedure connected to a message and an object is referred to as a method throughout object-oriented programming (OOP). An object is made up of state information and behaviour, which together make up the interface that outlines how any of the object's various consumers may use it. A method is indeed a consumer-parametrized behaviour of an object. Behaviors have been represented as methods, while data is represented as an object's properties. For instance, a Window object may have properties like open and close as well as methods like open and close, and its state (whether it is opened or closed at any given time) would be a method.
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a mass m is attached to a spring with a spring constant k. if the mass is set into motion by a displacement d from its equilibrium position, what would be the speed, v, of the mass when it returns to equilibrium position?
Answer: The mass when it returns to equilibrium position V=d√(k/m)
Reason:
The mass of the spring is set into simple harmonic motion at the equilibrium position A mass attached to a spring is free to oscillate, with angular velocity ω, in a horizontal plane without friction or damping. It is pulled to a distance X0 and pushed towards the centre with a velocity V0 at time t = 0.
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two wheels, a and b, have the same shape and size, but wheel a has twice the mass of wheel b. how do the moments of inertia (around the axis of symmetry) of the two wheels compare?
The moment of inertia of wheel a will be twice the moment of inertia of wheel b. This is because the moment of inertia is proportional to the mass of an object.
What is inertia?
The concept of inertia states that an object will maintain its current motion until a force changes its speed or direction. The phrase should be understood as a shortened form of Newton's first law of motion's description of "the principle of inertia." Newton's Latin is directly translated into the word "perseveres" in this sentence. In contemporary textbooks, other, softer words like "to continue" as well as "to remain" are frequently used. The modern application results from some modifications made by Euler, d'Alembert, as well as other Cartesians to Newton's original mechanics (as noted in the Principia).
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when a rigid object rotates about a fixed axis, what is true about all the points in the object? (there could be more than one correct choice.)
When a rigid item rotates along a fixed axis, the following occurs:
They are all moving at the same angular speed.
They are all moving at the same angular velocity.
When a rigid item rotates along a fixed axis, the following occurs:
They are all moving at the same angular speed.
They are all moving at the same angular velocity.
When a rigid item rotates along a fixed axis, all of its angular speeds are the same.
All of the particles in the rotating object have the same angular speed.
They are all moving at the same angular velocity.
All of the particles in the rotating object have the same angular acceleration.
All of this stems from the following relationships:
v=wR
a = alpha*R
where w is the angular velocity and alpha is the angular acceleration.
tangential velocity and acceleration depend on the distance from the axis, whereas angular velocity and acceleration are the same for all the points on the rotating body.
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find the energy in electron volts for a particle with this wavelength if the particle is an electron.
A) The energy in electron volts for a particle with this wavelength if the particle is a photon is; .E = 4969.5 eV or 4.9695 Kev
B) B) If a particle with this wavelength is an electron, its energy in electron volts is E = 23.58 eV.
C) E = 0.003306 eV
How to Find the energy in electron volts for a particle with this wavelength if the particle is a photon.?A) The formula for the energy here is;
E = hc/λ
where;
h is Planck's constant
= 6.626 × 10⁻³⁴ J.s
c is speed of light
= 3 × 10⁸ m/s
wavelength is equal to 0.25 nm (0.25 x 109 m).
Thus;
E = (6.626 × 10⁻³⁴ × 3 × 10⁸)/(0.25 x 10⁻⁹)
79.512 × 10⁻¹⁷ J
converting to eV gives;
E = (79.512 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)
E = 4969.5 eV or 4.9695 keV
B) Formula for the energy if the particle is an electron is;
E = h²/(2mλ²)
where m = 9.31 × 10⁻³¹ kg
E = (6.626 × 10⁻³⁴)²/(2 × 9.31 × 10⁻³¹ × (0.25 x 10⁻⁹)²)
E = 37.726 × 10⁻¹⁹ J
Converting to eV gives;
E = (37.726 × 10⁻¹⁹)/(1.6 × 10⁻¹⁹)
E = 23.58 eV
C) Mass of alpha particle is; m = 6.64 × 10⁻²⁷ kg
E = h²/(2mλ²)
where m = 6.64 × 10⁻²⁷ kg
E = (6.626 × 10⁻³⁴)²/(2 × 6.64 × 10⁻²⁷ × (0.25 x 10⁻⁹)²)
E = 52.896 × 10⁻²³ J
Converting to eV gives;
E = (52.896 × 10⁻²³)/(1.6 × 10⁻¹⁹)
E = 0.003306 eV
The complete question is : For crystal diffraction experiments, wavelengths on the order of 0.25 nm are often appropriate.
A) Find the energy in electron volts for a particle with this wavelength if the particle is a photon.
B) Find the energy in electron volts for a particle with this wavelength if the particle is an electron.
C) Find the energy in electron volts for a particle with this wavelength if the particle is an alpha particle (m=6.64×10−27kg).
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an infinite moderator contains unifonnly distributed isotropic sources emitting s neutrons/cm3 -sec. detennine the steady-state flux and current at any point in the medium.
The steady-state flux and current at every location in the medium are given by Ф ≅( S(2^1/2)/π*d)* e^-a/(2)^1/2*L. Since there are isotropic sources that are equally distributed and emit s neutrons per cm3/s
According to Fick's first law, which stipulates that diffusion flow is proportional to concentration gradient, steady-state flux diffusion processes are identified by this property. Diffusion coefficient or diffusivity are other names for the proportionality constant, D. It is expressed in m2/sec. J x can be used to represent the one-dimensional case for steady-state flux. The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow. The ampere is the SI unit for calculating electrical current (A). The movement of electrical charge carriers like electrons is known as current. Positive and negative locations both experience current flow.
Ф ≅( S/4*π*d)* e^(r/l)/r
Ф ≅( S/4*π*d)* e^-a/(2)^1/2*L
Ф ≅( S(2^1/2)/π*d)* e^-a/(2)^1/2*L
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what would be the effect on the motion of the cross if the center of mass of the body were to one side of the axis of rotation
Never does a free body revolve around its center of mass ( the instantaneous axis of rotation never passes through the center of mass).
Explain about the axis of rotation?Being a hypothetical object, the axis of rotation might be a challenging notion to understand. An imaginary line that extends through the joint's pivot or rotation point is referred to as the axis of rotation in terms of human anatomy (for example, the axis of rotation for flexing and extending the arm projects through the elbow joint).
The intersection of these three axes, which are the longitudinal, lateral, and vertical ones, each of which is perpendicular to the others, occurs at the center of gravity of the aero plane.
Position, momentum, and angular momentum make up an object's motion when it is rigid. Therefore, the "axis of rotation" is the unit vector, which is the object's angular momentum vector divided by the angular momentum magnitude (and therefore undefinable in the absence of angular momentum).
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the ring and the disk shown above have identical masses, radii, and velocities, and are not attached to each other. if the ring and the disk each roll without slipping up an inclined plane, how will the distances that they move up the plane before coming to rest compare?
The ring will move farther than will the disk.
The torque required to achieve a desired angular acceleration about a rotational axis depends on the moment of inertia of a rigid body.
The moment of inertia of a ring is given by the following equation [tex]I=mr^{2}[/tex]
similarly, the moment of inertia of a disk is [tex]I=m\frac{r^{2} }{2}[/tex]
Where, m and r is the mass and the radii of the ring and the disc.
The body's mass distribution and the axis selected to affect the moment of inertia, with larger moments requiring more torque to change the rotation rate. The object with the lowest moment of inertia will descend to the bottom first because it is resistance to rotational motion.
Therefore the disc will reach the bottom first, but due to the higher moment of inertia than the disc the ring will move farther than the disc.
The question is incomplete. The correct question is
A ring and a disk have identical masses, radii and velocities and are not attached to each other. If they each roll without slipping up an inclined plane, how will the distances that they move up the plane before coming to rest compare?
a. The ring will move farther than the disk.
b. The disk will move farther than the ring.
c. The ring and the disk will move equal distances.
d. The relative distances depend on the angle of elevation of the plane.
e. The relative distances depend on the length of the plane.
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