The height of the cliff is 6.22 meters and the time taken by the rock to hit the ground if thrown with same speed is 0.81 seconds.
The time taken by the rock to hit the ground when it is thrown up from the the cliff with an initial velocity of 8.01 m/s.
(a) From the equation of motion,
H = ut+1/2at²
H is the height of the cliff,
u is the the initial velocity,
t is the time taken by the rock,
g is the acceleration due to gravity.
Putting values,
H = (8.01)(2.21) + 1/2(-9.8)(2.21)²
H = -6.22m.
The height of the cliff is 6.22 m.
(b) If the rock is thrown down with the same speed,
Then the time taken by it to reach the ground is,
t = u/g
Putting values,
t = 8.01/9.8
t = 0.81 seconds.
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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.
The key observation enabled Edwin Hubble to prove this by observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.
American astronomer Edwin Powell Hubble lived from November 20, 1889, through September 28, 1953. He was a significant contributor to the development of observational cosmology and extragalactic astronomy.
Hubble established that many objects formerly believed to be "nebulae" or clouds of gas and dust, were actually galaxies outside the Milky Way. He scaled galactic and extragalactic distances using the strong direct correlation between a classical Cepheid variable's luminosity and pulsation time, which was found in 1908 by Henrietta Swan Leavitt.
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a rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. if the plane is traveling horizontally with a speed of 69.4 m/s how far in advance of the recipients (horizontal distance) must the goods be dropped?
4.80m is the far of the recipients must goods dropped.
What is speed?The speed of an object is the rate at which it moves through space. A slow-moving object travels a relatively short distance in a given amount of time, whereas a fast-moving object travels a long distance in a short amount of time.
A)Since we are aware that the plane's vertical speed is zero
In this instance, the mass is dropped with no beginning speed.
thus, we will
y=1/2gt²
235=1/2(9.81)t²
t=6.92s
Consequently, it is given as the horizontal distance it moved.
d=vt
d=(69.4)(6.92)
d=480.4m
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How do plates move in relation to each other at convergent boundaries?
When plates commute in the exact direction it collides, and the plates move to other at convergent boundaries.
The lighter, dense, and much more elastic oceanic plate dips underneath the thicker, more stiff continental plate whenever a continental plate encounters a marine plate.
It's known as subduction. Deep ocean trenches, like the one that runs down South America's west coast, are created by subduction.
The continent's undercut rocks start to melt. On occasions, a chain of eruptions forms as the hot magma rises to the surface and travels through the continent.
Nearly 80% of earthquakes happen along convergent borders when plates are being pushed together.
Destruction, when two continental plates crashes, is just another kind of convergent boundary. The plates collapse and are propelled upward since neither is heavier compared to the other.
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the mechanical energy and amplitude of a block-spring oscillator are 7.50 j and 9.40 cm respectively. let the maximum speed be 4.70 m/s. what is the mass of the block?
The mass of the block is 0.655 kg
What is mechanical energy?The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy. A system with solely gravitational forces or one that is otherwise idealized—that is, a system without dissipative forces like friction and air resistance or a system in which such forces may be fairly neglected—has constant mechanical energy.A swinging pendulum has its highest kinetic energy and lowest potential energy in the vertical position, where its speed is greatest and height is lowest, and its highest Energy is constantly moving back and forth between the two forms as the pendulum swings. The mechanical energy of the pendulum, which is the total of its kinetic and potential energies, is constant when air resistance and friction at the pivot are taken into account.Calculation
The mechanical energy of block system,
[tex]E=\frac{1}{2} mv_{max} ^{2}[/tex]
The mass of the block is
[tex]m=\frac{2E}{v^{2} _{max} }[/tex]
[tex]\frac{2(7.50)}{4.70^{2} } =0.6550 kg[/tex]
Hence, the mass of the block is 0.655 kg
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The mass of the block is 0.655 kg
What is mechanical energy?The combination of kinetic energy, or energy of motion, and potential energy, or energy stored in a system as a result of the arrangement of its components, is known as mechanical energy.A system with solely gravitational forces or one that is otherwise idealized—that is, a system without dissipative forces like friction and air resistance or a system in which such forces may be fairly neglected—has constant mechanical energy.A swinging pendulum has its highest kinetic energy and lowest potential energy in the vertical position, where its speed is greatest and height is lowest, and its highestEnergy is constantly moving back and forth between the two forms as the pendulum swings.The mechanical energy of the pendulum, which is the total of its kinetic and potential energies, is constant when air resistance and friction at the pivot are taken into account.The mechanical energy of block system,
[tex]$E=\frac{1}{2} m v_{\max }^2$[/tex]
The mass of the block is
[tex]$m=\frac{2 E}{v_{\max }^2}$[/tex]
[tex]$\frac{2(7.50)}{4.70^2}=0.6550 \mathrm{~kg}$[/tex]
Hence, the mass of the block is 0.655 kg
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What is the potential difference measured if the following voltmeter (refer to picture) is used and connected to the circuit via the 3V terminal?
Since the meter's 3V terminals are connected to the circuit, we have to read the "zero-to-3" scale on the meter to get our measurement. That's the scale under the marks.
On that scale, the needle points to 1.4 DC Volts. That's the potential difference between the two points the meter probes are touching.
a 5.0- kg box is pulled by a horizontal force f applied to the top of the box. when the box meets a low doorstep, it begins to rotate around it. the box is 60 cm wide and 100 cm high. what minimum magnitude of the force f is needed to cause this movement?
The minimum magnitude of the force f is 21 N needed to cause the movement of a 5 kg box pulled by a horizontal force.
What is force and how is the magnitude of force comes out to be 21 N ?Force is the newtonian quantity which represents the product of mass and acceleration.The mass of the box is given to be 5 kg and the box is 60 cm wide and the height is 100 cm .When the block about to rotate normal shifted to the edge of the cube , mg(w/2) = Fh, F = mgx (w/2)= Fh taking g as 9.8 m/s^2.Substituting the values , F = (5 × 9.8 ( 60/2)) / 70Then the force would be , F = (5 × 9.8 × 30 ) / 70,F = 1470 / 70,F = 21 N.Hence the magnitude of the force comes out to be 21 N.Therefore when a 5 kg box is pulled by a horizontal force f applied to the top of the box, the minimum magnitude of the force f needed is 21N.To know more about force visit:
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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be ____ m/s/s.
The new acceleration would be 5.62162m/s²
Given - acceleration a=8m/s²
As per question force = F/3.7
and mass = m/2.6
To find :- new acceleration α°
Formula: F=ma
Calculation : F/3.7= [mα°]/2.6
Divide these 2 equations
2.6= 3.7(α°/a)
α°= 2.6 x 8 / 3.7
α°=5.62162m/s²
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a constriction in a pipe reduces its diameter from 6.5cm to 2.7cm. where the pipe is wider, the fluid velocity is 8m/s. find the fluid velocity where the pipe is narrow. answer in units of m/s
The velocity of the fluid where the pipe is narrow s 46.36m/s.
The diameter of the larger end of the constriction pipe is 6.5 cm and the diameter of the narrow end of the pipe is 2.7cm.
According to equation of continuity, the volume of the fluid incoming is equal to the volume of the fluid outgoing.
So, we can write,
A₁V₁ = A₂V₂
A₁ and V₁ are the area and speed at the larger end and A₂ and V₂ are area and speed at the narrow end.
Putting values,
π(6.5/2)².8 = π(2.7/2)².V
V = 46.36m/s
The velocity of the fluid where the pipe is narrow is 46.36m/s.
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For a skateboard with a negative acceleration, which of the following statements is always true?
1. The initial velocity of the skateboard will be greater than it’s final velocity.
2. The skateboard will have a negative displacement.
3. The final velocity of the skateboard will be positive.
4. The final velocity of the skateboard will be negative
5. The skateboard is losing speed
With a negative acceleration, the skateboard's beginning velocity will be higher than its end velocity.
The correcty answer is 1
How do you calculate beginning velocity in the absence of time?Based on the assumption that the object's energy is conserved, its velocity equals the square root of twice square product of the its acceleration or the distance it travels. This relationship also depends on the object's initial velocity.
What are starting and final velocities?When gravity first exerts force on an object, its initial velocity indicates how quickly it moves. The final velocity, on the other hand, is a vector quantity that determines the rate and direction of the a moving body when it has reached its maximum velocity.
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a 500 kg roller coaster car is traveling at 10 m/s as it passes the 20 m high peak of a hill. it rolls down the other side of the hill, to ground level, and then climbs a second 10-meter hill. find the speed of the roller coaster car at the top of the second hill.
The speed of the roller coaster when it comes at the top of the second hill is 17.32 m/s.
The mass of the roller coaster is 500 kg and it is travelling with a speed of 10m/s.
Firstly the roller coaster ride pass a height of 20 m and after that it goes down and then climb till height of 10 m.
It has been know that throughout the motion the total mechanical energy is always conserved.
So we can write,
Potential energy at the top of the 20 m + kinetic energy at the top of 20 m hill = potential energy at the top of 10 m hill + kinetic energy at the top of 10m hill.
MgH + 1/2MV² = Mgh + 1/2Mv²
H is 20m and h is 10m, while M is mass of roller coaster and V is the speed at top of 20m hill and v is the speed at top of 10m hill.
Putting all values,
g(H-h) = 1/2(v²-V²)
10×10 = 1/2(v²-100)
v = 17.32 m/s.
So, the speed of the roller coaster at the top of 10m hill is 17.32 m/s.
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an object of mass 10.0 kg is initially at rest. a 100 n force causes it to movehorizontally through a distance of 6.00 m along a frictionless surface. what is the changein the kinetic energy of this object?
The change in the kinetic energy of this object is 600 J, when an object of mass 10 kg is initially at rest, and 100 N force cause it move horizontally at a distance of 6 m.
Mass of the object = 10kg
Force = 100N
Distance = 6m
Change in kinetic energy of this object =Δ KE
Expression for the change in the kinetic can be given as follows:
Δ Kinetic Energy = W
,W is the workdone on the object.
This is given by the formula below,
W= F *d
Hence,
Δ KE = F × d
Δ K.E= (100N × 6m)
Δ K.E. = 600Nm
Δ K.E. = 600 Joule
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what conditions must occur for the two carts to move in different directions after the collision? (assuming that a moving cart collides elastically with a stationary cart).
As a result of the collision, the cart, which had a velocity of 1, comes to rest. The cart then accelerates with velocity v1 from rest. assuming that a moving cart collision elastically with a stationary cart.
We are aware that both the linear momentum and the kinetic energy are conserved in completely elastic velocity. However, only the kinetic energy of an inelastic impact is conserved. Any situation in which two or more bodies quickly exert forces on one other is referred to be a collision. The scientific definition of the word "collision" makes no reference to the magnitude of the force involved, despite the fact that the most frequent usage of the word relates to instances in which two or more objects clash violently.
The instantaneous speed could be compared to the speed shown by the speedometer.
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.
a long solenoid has a length of 0.71 m and contains 1255 turns of wire. there is a current of 4.2 a in the wire. what is the magnitude of the magnetic field within the solenoid?
Answer:
The answer is 9.32x10^(-6) T.
Explanation:
The formula of finding magnetic field in a long solenoid is (B)= (MU)X N X I/L.
MU=4*(PI)*10^-7 h/m
n=1255
i=4.2 A
l=0.71 m
b= 9.32*10^(-6) T.
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hello! can someone help me with question 20?
Answer:
Light can travel through a glass or through a vacuum
A force is applied to stop a moving shopping cart. Increasing the time interval over which the force is applied.
We are given with a case of a moving shopping cart.
We are asked , how to increase the time, change the force.
For that, if we reduce the applied force in order to increase the time interval.
Generally, if we know the force applied and time taken, we can calculate the change in momentum.
As, Force, F = dP/dt
i.e. Rate of change of momentum w.r.t. time is Force.
So, dP = F.dt
Unit of Force is Newton, N in MKS (metre kilogram second) system.
Unit of Force is Dyne in CGS (centimetre gram second) system.
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an engineer cuts a 1.0-m-long, 0.33-mm-diameter piece of wire, connects it across a 1.5 v battery, and finds that the current in the wire is 8.0 a. of what material is the wire made?
The resistivity rho of the piece of the wire will be 1.60 × 10⁻⁸ Ωm. So, the material is copper wire.
Copper is the electrical conductor in many categories of electrical wiring. Copper wire is used in power generation, power transmission, power distribution for telecommunications, electronics circuitry, and countless types of electrical equipment.
The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section. Its S.I. unit is ohm-metre.
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A 1 kg water balloon falls downward and experiences a 4.9 N air resistance as it approaches the ground. What is the acceleration of the water balloon when it experiences this air resistance?
answer each problem with only one note
a 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it hits and couples with a stationary 10,000-kg boxcar. what is the speed of the cars after the collision?
The speed of the cars just after the collision is 0.875 m/s.the formula to be used m1u1 + m2u2 = m1v1 + m2v2.V=14000*1.5÷14000+1000=0.875m/s
How is speed used? What is speed?Teenagers, young adults, and the others take the stimulant drug "speed" to feel more focused and alert, as well as, in some circumstances, to get high. Several types of speed are also used by some people to suppress their appetite.
Why do people drive fast?Simply because they are not paying attention on their driving pace, drivers frequently go above the speed limit. Traffic flow, operating a powerful car, and listening to music were all mentioned as contributing factors. Some drivers claimed that passengers' distraction caused them to accelerate.
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. you have requested helicopter transportation of a critical burn patient. the remote nature of the accident will force the helicopter to land on an incline. from which direction should you approach the helicopter?
The direction should approach the helicopter is the downhill side.
The Federal Communications Commission controls and regulates all interstate and international radio television wire satellite and cable communications within the United States. Typically the helicopter is approached from the front or sometimes from the side, within the pilot's line of sight. Never approach from behind. Never approach a downhill helicopter. Main he could step into the rotor.
Choose your way to the machine on level ground or uphill. Always approach helicopters from the downhill side. Rotor separation is greatly affected by slopes. To avoid the main rotor and other components of the described communication system taking off by approaching the sloping side of the sloping landing site.
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What about the Model of Static Electricity makes it mechanistic?
The material that is attracted to the electron which is negatively charged and the material from which the electron was lost is considered as positively charged that makes the Mechanism of Static Electricity.
What is Model of Static Electricity?Static Buildup apparatus. The static build up is the phenomenon in which electric charges are traded between the surfaces of two objects that come into contact with each other. In this procedure, one object static takes on a positive charge and the other a negative charge. The material that interested the electron is negatively charged and the material from which the electron was lost is positively charged. This is the appliance for the Generation of Static Electricity. Static electricity is the result of a disparity between negative and positive charges in an object.
So we can conclude that Static electricity is an variance of electric charges within or on the surface of a material or between materials.
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suppose a ship flies toward you at nearly lightspeed. in the ship's reference frame, it is 10 m long (front to back). when you measure its length, what is the result?
Its length is 6.6m.
How is length contracted defined?Length contraction is a phenomena where a moving object's length is measured to be less than it actually is.
When an object is travelling faster than the viewer, but not at the speed of light, length contraction is seen. The relativity of space and time is the cause of this. The two extremes of a moving object will send out signals like light at somewhat different intervals to an observer watching the thing.
Using the relationship between length contraction,
l = l₀[tex]\sqrt{1-\beta^{2} }[/tex]
β = v/c
l₀ = 10m
v = 0.75c
v/c = 0.75
In place of, we have
l = 10×[tex]\sqrt{1-0.75^{2} }[/tex]
l = 10× 0.66
l = 6.6m.
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a child pulls a friend in a little wagon with constant speed. if the child pulls with the force of 16 n for 10.0 m and the handle of the wagon is inclined 25 degrees with respect to the horizontal, how much work does the child do on the wagon?
The work done by the child on the wagon is 158.4 J
Work done is defined as the product of the force applied on the object and the component of distance traveled by the object in the direction of the force. Mathematically,
W = FdCosθ
where,
W = work done = ?
F = force applied = 16 N
d = displacement = 10 m
θ = angle of inclination = 25°
Therefore,
W = (16 N) (10 m)Cos(25°)
W = 158.4 J
Hence, work done by the child on the wagon is 158.4 J
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What do you think happens to a sound wave when the volume of sound increase
Answer:
sound wave's amplitude relates to the change in pressure caused by the wave measured at a specific location. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.
A 263 kg crate slides 3.2 m until coming to a stop after being pushed by a large man. The effective coefficient of kinetic friction between the crate and the surface is 0.13. Calculate the work done by friction .
WORK OUT AND USE UNITS
The work done by friction when a crate of 263 kg slides 3.2 m is 1072.2 J.
What is friction?Friction is the force that opposes the motion of two bodies in contact.
To calculate the work done by friction, we use the formula below.
Formula:
W = mgdμ............ Equation 1Where:
W = Work done by frictionm = Mass of the crateg = Acceleration due to gravityd = Distance traveled by the crateμ = Coefficient of kinetic frictionFrom the question,
Given:
m = 263 kgh = 3.2 mg = 9.8 m/s²μ = 0.13Substitute these values into equation 1
W = (263×3.2×9.8×0.13)W = 1072.2 JHence, the work done by friction is 1072.2 J.
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20.0 l of a monatomic ideal gas at a pressure of 100 kpa expand adiabatically until the volume doubles. what is the pressure in the gas at that point?
The pressure in the gas at that point is equal to the initial pressure, 100 kPa.
To expand adiabatically, there must be no heat transfer involved. Adiabatic expansion means that no heat is transferred between the gas and its surroundings; this means that if we double the volume of our gas, nothing should change in terms of temperature as long as there is no heat transfer to or from our system during expansion.
Since we're starting out with a monatomic ideal gas, we know that its entropy is going to stay constant throughout this process, so the ideal gas law gives us a relationship between pressure, volume, and temperature: PV = nRT
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projectile motion: if you launch a cannon at 15 degrees above horizontal, and another cannon at 75 degrees above horizontal, which one will reach farther horizontal range? explain your answer.
If you launch a cannon at 15 degrees above horizontal, and another cannon at 75 degrees above horizontal, both will have same horizontal range
In a projectile motion , horizontal range can be calculated using formula
Range = [tex]u^{2}[/tex] sin ( 2 theta) / g
where
u = initial velocity
theta = angle along the horizontal
g = acceleration due to gravity
if we substitute the value of 15 and 75 in formula , we get
sin ( 2 * theta_1 ) = sin ( 2*15 ) = sin 30 = 1/2
sin ( 2* theta_2 ) = sin ( 2 * 75 ) = sin (150) = 1/2
both the values are coming out to be equal
hence , will have equal value of horizontal range
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the orion nebula (at least the part we can see) is not very old (yet). while several hot, massive stars have had a chance to form in the nebula, none of them has been around long enough to go supernova. so relative to supernova remnants, and other areas where the gasses have been 'mixed' with the wreckage from exploded stars, what can you say about the iron levels you'd expect to see in the orion nebula?
One of the brightest nebulae in the night sky, the Orion Nebula may be seen with the unaided eye. The Trapezium is a young open cluster of four main stars in this magnitude 4 interstellar cloud of ionized atomic hydrogen.
What is the source of the Orion Nebula's crimson glow?The hydrogen gas in the Orion Nebula, which is powered by radiation from young stars, gives off a crimson tint. The nebula's blue-violet regions are reflecting radiation from bright, blue-white O-type stars while the red areas are emitting light.The Orion Nebula is one of many massive clouds of gas and dust in our Milky Way galaxy, say contemporary astronomers, and is one of the largest. It is approximately 1,300 light years away from Earth. This enormous hazy cocoon, which measures approximately 30 to 40 light-years in diameter, is generating potentially a thousand stars.To learn more about Orion nebula refer to:
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A toy cart at the end of a string 0.70 m long moves in a circle on a table. The cart has a mass of 2.0 kg and the string gives a centripetal force of 40. N. Calculate the speed of the cart.
3.74 m/s is the speed of the cart of mass 2.0 kg and the string gives a centripetal force of 40. N.
What does a circle's centripetal force look like?The force that creates centripetal acceleration is known as centripetal force. All objects in uniform circular motion accelerate toward the center of the circle, and as a result, they must likewise experience a force from the center. The centripetal force is that force.
Briefing :
Given ,The mass of the cart, m = 2 kg,
The standard equation would be F = ma , where a is acceleration, f is force, and m is mass. However, the breaking strength of the string is 40 N.
a = [tex]\frac{v^{2} }{r}[/tex]
F = ma
F = [tex]\frac{mv^{2} }{r}[/tex]
40 = [tex]\frac{2v^{2} }{0.70}[/tex]
[tex]v^{2}[/tex] = 14
v = [tex]\sqrt{14}[/tex]
v = 3.74 m/s
Therefore , the speed of the cart is 3.74 m/s .
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at what frequency should a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v?
At 7.1 Hz a 200-turn, flat coil of cross sectional area of 300.0 cm2 be rotated in a uniform 30.0-mt magnetic field to have a maximum value of the induced emf equal to 8.0 v
What is magnetic field?An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
Given,
number of turns is N = 200 turns
cross-sectional area is A = 300 cm² = 300 x 10⁻⁴ m²
the magnitude of magnetic field strength is B = 30 x 10⁻³ T
the maximum value of the induced emf is E = 8 V
Now,
Maximum induced emf is, E = NBAω
where,
ω is the angular velocity (ω = 2πf)
Now,
E = NBA2πf
where,
f is minimum frequency
So, f = E / (NBA2π)
f = 8 / (200 x 30 x 10⁻³ x 300 x 10⁻⁴ x 2 x 3.142)
f = 7.073 Hz
f = 7.1 Hz
∴ the minimum frequency of the coil is 7.1 Hz.
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a cylindrical rod has equal and opposite forces applied parallel to the surface of its circular ends. the forces are directed toward the center of the rod. what type of stress is this rod subject to?
The force that results in a material's deformation and subsequent reduction in volume is known as compression stress.
What exactly are tensile and compressive stress?Tensile Stress: When a body is subjected to an equal force that is applied perpendicular to its cross-sectional area, it deforms. Definition of Compressive Stress: The solid is compressed by the application of an external force. The body, which is known for compressive stress, responds by producing the restoring force.The force that results in a material's deformation and subsequent reduction in volume is known as compression stress. A material shrinks in volume as a result of the stress it experiences. The failure of the material is caused by high compressive stress.To learn more about compression refer to:
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