The magnitude of the normal force and acceleration is calculated using Newton's second law and free body diagrams, considering all forces acting on the object.
Explanation:The question pertains to finding the magnitude of the acceleration and the normal force acting on a chair, block, or similar object using Newton's second law of motion. To determine these quantities, one must analyze the forces acting on the object in a free body diagram and apply the equations of motion. The normal force is the force exerted by a surface to support the weight of an object resting on it, and it acts perpendicular to the surface. To find the normal force (FN), we typically assume static equilibrium if the object is at rest, which implies that the net force in the vertical direction is zero; thus, FN equals the object's weight (mg), where m is the mass and g is the acceleration due to gravity. The magnitude of acceleration (a) can be calculated using the net force acting on the object (resultant force) divided by its mass, as stated by Newton's second law (F = ma).
For example, if a block is placed on a table, the normal force is equal to the gravitational force acting on it (FN = Fg). If the block is accelerating, you would calculate the net force by including all forces acting on the block, such as tension, friction, or applied forces, and then use F = ma to find the acceleration.
g What is the magnetic potential energy stored in a cylindrical volume of height hcylinhcylin = 50 mmmm and radius RcylinRcylin = 24 mmmm that symmetrically surrounds an infinitely long wire that has radius RwireRwire = 2.1 mmmm and carries current III = 4.9 AA ? The volume in which the energy should be calculated does not contain the wire.
Answer:
[tex]2.9\cdot 10^{-7} J[/tex]
Explanation:
The energy density associated to a magnetic field is:
[tex]u=\frac{B^2}{2\mu_0}[/tex] (1)
where
B is the strength of the magnetic field
[tex]\mu_0[/tex] is the vacuum permeability
The magnetic field produced by a current-carrying wire is
[tex]B=\frac{\mu_0 I}{2\pi r}[/tex]
where
I is the current in the wire
r is the distance from the wire at which the field is calculated
Substituting into (1),
[tex]u=\frac{\mu_0 I^2}{8\pi^2 r^2}[/tex] (2)
Since this is the energy density, the total energy stored in a certain element of volume [tex]dV[/tex] will be
[tex]U=u\cdot dV=\frac{\mu_0I^2}{8\pi^2 r^2}dV[/tex] (3)
Here the field strength changes as we move farther from the wire radially, so we can write dV as
[tex]dV=2\pi h r dr[/tex]
where
h is the height of the cylinder
r is the distance from the wire
So eq(3) becomes:
[tex]dU=\frac{\mu_0I^2}{8\pi^2 r^2} \cdot 2 \pi h r dr = \frac{\mu_0 I^2 h}{4\pi}\frac{1}{r}dr[/tex]
Now we have to integrate this expression to find the total energy stored in the cylindrical volume. We have:
h = 50 mm = 0.050 m is the height of the cylinder
I = 4.9 A is the current in the wire
[tex]b=2.1 mm = 0.0021 m[/tex] is the internal radius of the cylinder (the radius of the wire)
[tex]a=24 mm=0.024 m[/tex] is the external radius of the cylinder
So,
[tex]U=\int\limits^a_b {dU} =\frac{\mu_0 I^2 h}{4\pi} \int\limits^{0.024}_{0.0021} \frac{1}{r}dr = \frac{\mu_0 I^2 h}{4\pi} [ln(a)-ln(b)]=\\=\frac{(4\pi \cdot 10^{-7})(4.9)^2(0.050)}{4\pi}[ln(0.024)-ln(0.0021)]=2.9\cdot 10^{-7} J[/tex]
A 7.7cm length of straight wire run horizontally along a north south line . The wire carries a 3.45 current flowing northward through a uniform 1.25 T magnetic field vertical upward. Find the magnetude and directions of the force wire
Answer:
F = 0.332 N in the east direction
Explanation:
Length, L = 7.7 cm = 7.7 * 0.01 = 0.077 m(along the north south)
Current, I = 3.45 A (northwards)
Magnetic field, B = 1.25 T (vertically upwards)
The magnitude of the force is given by, F = ILBsin90
F = 3.45 * 0.077 * 1.25 * 1
F = 0.332 N
The direction of the force is calculated using the Right Hand Thumb Rule:
It states that "Hold the wire carrying current in your right hand so that the thumb points along the wire in the direction of the current, then the fingers will encircle the wire in the direction of the lines of magnetic force."
Based on the Right Hand Thumb Rule, the magnetic force will act in the east direction
Please answer the question on the picture
Answer:
radial artery and carotid artery
Explanation:
What is electrical power? how to measure power?
Answer:
Electric power is the rate at which work is done or energy is transformed in an electrical circuit.
P = W/t
Explanation
Where P is Power,
W is work
t = Time passed
how do you find the velocity of a wave?
Answer:
According to me, v=w×f is the correct formula...
Explanation:
v=w×f :-
where "v" is the waves velocity.where "w" is the wavelength.And where "f" is the frequency of the source.The velocity of a wave can be found by multiplying the wavelength of the wave by its frequency.
Explanation:The velocity of a wave can be found by multiplying the wavelength of the wave by its frequency. The formula for wave speed is v = λf, where v is the velocity, λ is the wavelength, and f is the frequency. For example, if the wavelength of a wave is 2 meters and its frequency is 5 Hz, the velocity of the wave would be 10 m/s. It's important to note that the velocity of a wave is determined by the medium through which it is traveling and not by the amplitude of the wave.
where do cardiac muscles cause movement in?
-bone
-tendon
-ligament
-organ
Answer:it the tendon
Explanation:
Answer: The answer would be bone... I mean organ
Explanation:
Look in the defenition In edunuity
which image illustrates diffraction
Answer:
its the 3rd one with the hand and the beam on light shining through it
Explanation:
Answer:
3rd choice
Explanation:
glass of water is refraction
cat/mirror is reflection
an example of diffraction is if you have a screen w/ a slit in it and you shined a light on one side of it, so based on that, I would go with the 3rd choice with the hand and the light coming through between the fingers
what happens overtime to rocks that are stressed
Answer:
Stress is the force applied to an object. In geology, stress is the force per unit area that is placed on a rock. Four types of stresses act on materials.
A deeply buried rock is pushed down by the weight of all the material above it. Since the rock cannot move, it cannot deform. This is called confining stress.
Compression squeezes rocks together, causing rocks to fold or fracture (break) (Figure below). Compression is the most common stress at convergent plate boundaries.
Explanation:
Technician A says that many power windows and power door locks use a permanent-magnet motor with a built-in circuit breaker and is reversible. Technician B says that the control switches and relays direct the current through the motor(s). Which technician is correct
Answer:
Both A and B
Explanation:
Normally, the direct current through motor is controlled and directed by the control switches. Also, most of the available power windows and power locks in the market utilize the reversible permanent and in-built circuit breakers. Therefore, both technicians are correct.
Resonance occurs when a force causes an object to vibrate at
Answer:
Its natural frequency
Explanation:
Resonance occurs when a force causes an object to vibrate. The object has a higher probability of doing so at a specific rate called the object's natural frequency or resonant.
The frequency is dependent on the size, shape, and composition and properties of the object involved.
Answer:
Resonance occurs when a force causes an object to vibrate at
its own natural frequency
Explanation:
What is resonance .
This is a phenomenon in which an external force or a vibrating system forces another system around it to vibrate with greater amplitude at a specified frequency of operation.
When an object is forced to vibrate at its natural frequency, resonance occurs. Sound can travel through solids, liquids, gases, and even a vacuum. In order for sound from a speaker to reach a listener, air near the speaker must travel to the listener
What is a forced vibration?
Forced vibration is a type of vibration in which a force is repeatedly applied to a mechanical system.
Forced vibration is when an alternating force or motion is applied to a mechanical system.
If a girl makes a homemade sling shot that requires a force of 14 N to pull it's pebble (.08kg) into place at 0.1 m from the resting position of the sling shot, the maximum velocity of the pebble will be
Answer:
Explanation:
Givent that,
The required force to pull the peddle is
F = 14N,
The peddle has a mass of
m = 0.08kg
To a distance of 0.1m
d = 0.1m
Using conservation of energy
The workdone by pulling the peddle to a certain distance is equal to the kinectic energy of the peddle
Work done = K.E
F × d = ½ mv²
14 × 0.1 = ½ × 0.08 × v²
1.4 = 0.04 v²
v² = 1.4 / 0.04
v² = 35
v = √35
v = 5.92 m/s
The velocity of the peddle is 5.92 m/s
To store stacks of clean plates, a cafeteria uses a closed cart with a spring-loaded shelf inside. Customers can take plates off the stack one at a time through a hole in the top. A stack of plates compresses the spring 0.40 m. The spring constant is 240 N/m. What is the elastic potential energy of the spring?
Answer:
19.2J
Explanation:
For a string-mass system the elastic potential energy is given by:
[tex]U=\frac{1}{2}kx^2[/tex]
k: spring's constant = 240N/m
x: compression = 0.40m
by replacing the values of k and x you obtain:
[tex]U=\frac{1}{2}(240N/m)(0.40m)^2=19.2J[/tex]
hence, the elastic potential energy is 19.2J
Answer:
19.2j I took the assessment and got it right :)
Explanation:
When a DVD is played, a laser light hits the surface of the disk and then returns to the detector. An illustration of DVD with an arrow pointing toward a spot on the disk labeled detector. Which wave phenomenon allows the DVD player to work? absorption interference reflection refraction
Answer:
Reflection
Explanation:
The wave phenomenon that allows the DVD player to work is REFLECTION.
Reflection is defined as the repropagation of incident light striking a plane surface.
The light ray striking the surface is incident ray while the repropagated light ray is the reflected ray. The DVD was able to play because the laser light that hits the surface of the disk was able to reflect back and returns to the detector. The detector senses the light and cause the DVD to play. If the laser light didn't reflect, assuming it was absorbed by the surface of the disk, the detector wouldn't have detected the light and the DVD wouldn't have played.
Answer:
C. Reflection
Explanation:
Edge 2020
1) Analyze the student data as if you were Ms. Olivera. One group clearly
won the challenge. What aspects of the winning design accounted for
the strength of Group #2's electromagnet?
A)
Using a 9-volt battery for more electrical energy.
Longer wire allows for more turns around the iron
core
More turns of wire around the core and the maximum
voltage
Using a double-nail core and more turns of wire
around that core.
Answer:
I think the answer is C
Explanation:
When you look at the table, two designs used a 9-volt battery, but the second design lifted more wait because the amount of wire they had wrapped around the magnetic core was more.
Group #2's electromagnet was stronger due to the use of a 9-volt battery, longer wire, and a double-nail core.
Explanation:The strength of Group #2's electromagnet can be attributed to several aspects of their design:
Using a 9-volt battery: This provides more electrical energy, which increases the strength of the electromagnet.Longer wire: A longer wire allows for more turns around the iron core, resulting in a stronger magnetic field.Double-nail core: This design feature, along with more turns of wire around the core, further enhances the magnetic strength.By combining these aspects, Group #2 was able to create a stronger electromagnet compared to other groups.
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How can the motion of a charged particle be used to distinguish between a magnetic field and an electric field in a certain region? The charged particle follows a spiral path in a magnetic field. The charged particle follows a linear path in a magnetic field. The charged particle follows a spiral path in an electric field
Answer:
The charged particle follows a spiral path in a magnetic field.
Explanation:
A charge immersed in a region with an electric field experiences a force that acts along the same direction of the electric field. In particular:
- The force has the same direction as the electric field if the charge is positive
- The force has the opposite direction as the electric field if the charge is negative
Therefore, a charge moving in an electric field is accelerated along the direction of the electric field.
On the other hand, a charge in motion in a region with a magnetic field experiences a force that acts perpendicular to the direction of the field. This means that a charge in motion in a magnetic field will acquire a circular motion in the plane perpendicular to the direction of the magnetic field.
As a result, if the particle has also a original motion outside this plane, its final motion will consist of:
- A uniform motion along that direction, +
- A circular motion along the plane perpendicular to the field
So, the resultant motion of the particle will be a spiral path. So the correct answer is
The charged particle follows a spiral path in a magnetic field.
Final answer:
The motion of charged particles differs significantly in electric versus magnetic fields. In magnetic fields, particles exhibit circular or spiral motions, and in electric fields, the motion is linear. This difference allows for the clear distinction between the two types of fields based on the particle's path.
Explanation:
The motion of a charged particle can be a revealing indicator of the presence and type of field it is moving through. When examining the behavior of charged particles, we see distinct patterns emerge in magnetic and electric fields. For magnetic fields, the motion is characterized by circular or spiral paths due to the magnetic force acting perpendicular to the particle's velocity. This is starkly different in an electric field, where the charged particle tends to move in a linear path along the direction of the field.
Magnetic fields cause a charged particle to follow a circular or helical path, with the nature of this motion being dependent on the angle between the velocity of the particle and the magnetic field lines. Technologies such as cyclotrons and mass spectrometers exploit this principle, utilizing magnetic fields to guide charged particles along desired paths.
In contrast, in an electric field, charged particles move linearly, aligning with the electric field lines. This linear motion is a result of the electric force acting along the direction of the field, guiding the particles in a straightforward path. The distinction between these two types of motion provides a clear method for distinguishing between magnetic and electric fields based on the observed path of a charged particle.
Which formula is used to find fluctuation of the shape of body
Answer:
varn=n1+1ehvkT–1
Explanation:
This is Einstein's equation.
A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 6 m/s in 5 seco
is the acceleration?
-13 m/s?
-6 m/s
6 m/s
13 m/s
Answer:
Explanation:
Acceleration = a change in velocity / a change in time
Acceleration = ( final velocity - initial velocity) / a change in time
Acceleration = (6m/s - 35 m/s ) / 5 s
= (-29 m/s) /( 5 s)
= - 5.8 m/s^^2
Remember Significant Figures
- 6 m/s^2
P.S I have no idea why the answers say m/s because acceleration is m/s^2.
:)
The U.S. Navy has long proposed the construction of extremely low frequency (ELF waves) communications systems; such waves could penetrate the oceans to reach distant submarines. Calculate the length of a quarter-wavelength antenna for a transmitter generating ELF waves of frequency 71 Hz.
Answer:
The length of the antenna would be L = 1056 km
Explanation:
Given:-
- The frequency of ELF, f = 71 Hz
- The speed of EM wave, c = 3.00 *10^8 m/s
Find:-
Calculate the length of a quarter-wavelength antenna for a transmitter generating ELF waves
Solution:-
- We will first determine the wavelength (λ) of the ELF waves with frequency (f) generated by the transmitter. The relationship that holds true for all types of EM waves is:
λ = c / f
λ = (3.00*10^8 m/s) / ( 71 Hz )
λ = 4225352.11267 m
- The antenna of the transmitter is to be designed such that its length (L) is 1/4-wavelength of ELF generated. So:
L = 0.25*λ
L = 0.25*4225352.11267
L = 1056 km
What does the term “agony of defeat” mean to you?
Answer:
The noun agony means acute pain — either mental or physical, but people often use the word hyperbolically: "This paper cut is agony." The noun agony is also used in the common phrase "the thrill of victory and the agony of defeat," which has been the tag-line of ABC's Wide World of Sports for decades.
Explanation:
An automobile tire having a temperature of 3.4 ◦C (a cold tire on a cold day) is filled to a gauge pressure of 24 lb/in2 . What would be the gauge pressure in the tire when its temperature rises to 26◦C? For simplicity, assume that the volume of the tire remains constant, that the air does not leak out and that the atmospheric pressure remains constant at 14.7 lb/in2 . Answer in units of lb/in2 .
Answer:
[tex]27.164 lb/in^2[/tex]
Explanation:
We are given that
Gauge pressure at 3.4 degree Celsius,P=[tex]24lb/in^2[/tex]
We have to find the gauge pressure in tire when the temperature rises to 26 degree Celsius.
Atmospheric pressure=[tex]14.7lb/in^2[/tex]
[tex]P_1=P+14.7=24+14.7=38.7lb/in^2[/tex]
K=273+Degree Celsius
[tex]T_1=3.4+273=276.4 K[/tex]
[tex]T_2=26+273=299K[/tex]
[tex]P_2=\frac{P_1T_2}{T_1}[/tex]
[tex]P_2=\frac{38.7\times 299}{276.4}[/tex]
[tex]P_2=41.864 lb/in^2[/tex]
Gauge pressure in tire when the temperature rises to 26 degree Celsius.=[tex]41.864-14.7=27.164lb/in^2[/tex]
Answer:
27.16 lb/in²
Explanation:
initial temperature, T1 = 3.4 °C = 276.4 K
initial gauge pressure, P1 = 24 lb/in²
atmospheric pressure, Po = 14.7 lb/in²
initial absolute pressure, P1' = Po + P1 = 14.7 + 24 = 38.7 lb/in²
final temperature, T2 = 26 °C = 299 K
Let the final gauge pressure is P2.
use the ideal gas equation and the volume is constant.
[tex]\frac{P_{1}'}{T_{1}}=\frac{P_{2}'}{T_{2}}[/tex]
[tex]\frac{38.7}{276.4}=\frac{P_{2}'}{299}[/tex]
P2' = 41.86 lb/in²
Now the gauge pressure, P2 = P2' - Po = 41.86 - 14.7 = 27.16 lb/in²
Thus, the new gauge pressure is 27.16 lb/in².
The fed can attempt to decrease the federal funds rate by
Answer:
purchasing bonds in order to increase the money supply.
Explanation:
The Federal Reserve raises or lowers interest rates through its regularly scheduled Federal Open Market Committee. That's the monetary policy arm of the Federal Reserve Banking System.
The Fed can attempt to increase the federal funds rate by selling Treasury bills, which decreases bank reserves.
. The density of ice is 917 kg/m3, and the latent heat of fusion of water is 3.35 x 105 J/kg. The driver of the van turns on the rear-window defroster, which operates at 12 V and 29 A. The defroster directly heats an area of 0.56 m2 of the rear window. What is the maximum thickness of ice above this area that the defroster can melt in 3.8 minutes?
Answer:
[tex]s = 1.472\,m[/tex]
Explanation:
The heat require to melt the ice formed in the rear window is:
[tex]Q = m_{ice}\cdot L_{f}[/tex]
[tex]Q = \rho_{ice}\cdot V_{ice}\cdot L_{f}[/tex]
[tex]Q = \rho_{ice}\cdot A_{w}\cdot s \cdot L_{f}[/tex]
The heat transfer rate given by the defroster is:
[tex]\dot Q = \epsilon\cdot i[/tex]
But:
[tex]\epsilon \cdot i \cdot \Delta t = \rho_{ice}\cdot A_{w}\cdot s \cdot L_{f}[/tex]
The maximum thickness of ice that can be melt is:
[tex]s = \frac{\epsilon \cdot i \cdot \Delta t}{\rho_{ice}\cdot A_{w}\cdot L_{f}}[/tex]
[tex]s = \frac{(12\,V)\cdot (29\,A)\cdot (3.8\,min)\cdot (\frac{60\,s}{1\,min} )}{(917\,\frac{kg}{m^{3}} )\cdot (0.56\,m^{2})\cdot (105\,\frac{J}{kg} )}[/tex]
[tex]s = 1.472\,m[/tex]
Answer:
Max thickness; h = 4.61 x 10^(-4) m
Explanation:
We are given;
Current; I = 29A
Voltage; V = 12 V
Time; t = 3.8 minutes = 228 seconds
Density;ρ = 917 kg/m³
latent heat of fusion of water; L = 3.35 x 10^(5) J/kg
Area; A = 0.56 m²
We know that volume = Area x Height.
Thus, V = Ah and h = V/A
We also know that density is given by;
ρ = mass/volume = m/V
Amd V = m/ρ
Thus, h can be written as;
h = (m/ρ)/A - - - - - (eq1)
Now, we know that;
The specific latent heat (L) of a material is a measure of the heat energy (Q) per mass (m) released or absorbed during a phase change.
It is defined through the formula
Q = mL
Thus, m = Q/L
So, putting Q/L for m in eq 1,we have; h = (Q/Lρ)/A = Q/LρA
Now, power(P) is; Q/t where Q is energy dissipated and t is time.
Thus, P = Q/t and thus, Q = Pt
Thus, h = Pt/LρA - - - - (eq2)
We also know that Power = IV
Thus, power = 29 x 12 = 348 W
Thus, plugging in the relevant values into eq(2),we have;
h = (348 x 228)/(3.35 x 10^(5) x 917 x 0.56)
h = 79344/(1720.292 x 10^(5))
h = 4.61 x 10^(-4) m
This is a measure of an object's ability to transmit electricity.
Final answer:
Electrical conductivity is a property indicating how easily electricity can flow through a material, with conductors having high conductivity and insulators having low. Resistance measures how much a material opposes the flow of charge, dependent on the material's resistivity and affected by temperature. Dielectric strength is the maximum electric field an insulator can withstand before conducting.
Explanation:
The measure of an object's ability to transmit electricity is known as its electrical conductivity. Electrical conductivity is a property of materials that indicates how easily electric current can flow through them. Conductors, like copper, gold, and silver, exhibit high electrical conductivity, whereas insulators have much lower electrical conductivity. Electrical conductivity is quantified by the relationship σ = J/E, where σ is the conductivity, J is the current density, and E is the electric field strength. Materials with high conductivity have low resistance, while materials with low conductivity have high resistance. The resistance of a material is influenced by its inherent resistivity and is also affected by factors like temperature.
Resistance is a concept that describes how much a material opposes the flow of electric charge. Highly resistant materials make it difficult for electric current to pass through, necessitating a higher energy (voltage) to drive the current. Additionally, the resistivity of a material is a fundamental property that dictates the resistance of an object made from that material. Superconductors are exceptional in that they have zero resistance at very low temperatures, meaning they can conduct electricity without energy loss.
Another related concept is dielectric strength, which pertains to insulating materials. It is defined as the maximum electric field strength that an insulating material can withstand before it begins to break down and conduct electricity, signifying a loss of its insulating properties.
Suppose you have a blocks of iron, a block of copper and a block of aluminum, each of 1 kg at 1000K. You want to warm up a 10 kg of water at 300K as much as possible. 1.1. Imagine that all you can do is to throw one block at a time and wait for it to achieve thermodynamic equilibrium before throwing in the next. Which ordering provides the best result?
Answer:
400k
Explanation:
If forces acting on an object are unbalanced, the object could experience a change in ________. mass, speed, or direction negative acceleration or mass direction, mass, or both speed, direction, or both
Answer:
speed, direction, or both
Explanation:
If forces acting on an object are unbalanced, the object could experience a change in speed, direction, or both.
When the forces operating on an item are imbalanced, it signifies that the object's net force is not zero.
This causes the item to accelerate in the direction of the net force. As a result, depending on the direction of the net force, the object's speed may change, causing it to either accelerate or decelerate.
Due to the uneven forces, the item may potentially change its direction of travel.
The magnitude and direction of the unbalanced forces acting on the item will determine the degree of the changes in speed and direction.
Thus, unbalanced forces can thus induce a range of changes, including changes in speed, direction, or both.
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A football player weighing 110 kg and traveling at +6 m/s runs head on into another player who weighs 150 kg and is traveling at -4 m/s. In which direction will they travel after they collide (stuck together) and what would their combined velocity be?
This is an inelastic collision. The equation for an inelastic collision is: [tex]m_{1}v_{1}_{i} + m_{2}v_{2}_{i} = (m_{1} + m_{2})v_{f}[/tex]
(110)(6) + (150)(-4) = (110 + 150)(vf)
660 - 600 = 260vf
60 = 260vf
vf = 0.2308 m/s
They will travel in the positive direction, right, and their combined velocity will be 0.2308 m/s.
Hope this helps!! :)
Cosmic microwave background radiation is classified as a form of electromagnetic energy because it
Answer:
travels in waves through space
Explanation:
A cosmic microwave background radiation is classified as a form of electromagnetic energy because it
travels in waves through space
The cosmic microwave background is assumed to be a left over radiation from the Big Bang, or the time when the universe began. This means its radiationis most visible in the microwave part of the electromagnetic spectrum.
Answer:
The answer is:
Because it travels in waves through space.
Explanation:
CMB is a form of radiation discovered in 1965 that is presented as one of the main tests of the cosmic model since it is a type of radiation that fills the entire universe.
It has the characteristics of black-body radiation (a theoretical or ideal object that absorbs all light and all radiant energy incident on it) at a temperature of 2,725 K, with a frequency of 160.2 GHz and a length of 1.9mm wave belonging to the microwave. rank
At a given instant an object has an angular velocity. It also has an angular acceleration due to torques that are present. Therefore, the angular velocity is changing. Does the angular velocity at this instant increase, decrease, or remain the same (a) if additional torques are applied so as to make the net torque suddenly equal to zero and (b) if all the torques are suddenly removed
a) Constant
b) Constant
Explanation:
a)
We can answer this question by using the equivalent of Newton's second law of motion of rotational motion, which can be written as:
[tex]\tau_{net} = I \alpha[/tex] (1)
where
[tex]\tau_{net}[/tex] is the net torque acting on the object in rotation
I is the moment of inertia of the object
[tex]\alpha[/tex] is the angular acceleration
The angular acceleration is the rate of change of the angular velocity, so it can be written as
[tex]\alpha = \frac{\Delta \omega}{\Delta t}[/tex]
where
[tex]\Delta \omega[/tex] is the change in angular velocity
[tex]\Delta t[/tex] is the time interval
So we can rewrite eq.(1) as
[tex]\tau_{net}=I\frac{\Delta \omega}{\Delta t}[/tex]
In this problem, we are told that at a given instant, the object has an angular acceleration due to the presence of torques, so there is a non-zero change in angular velocity.
Then, additional torques are applied, so that the net torque suddenly equal to zero, so:
[tex]\tau_{net}=0[/tex]
From the previous equation, this implies that
[tex]\Delta \omega =0[/tex]
Which means that the angular velocity at that instant does not change anymore.
b)
In this second case instead, all the torques are suddenly removed.
This also means that the net torque becomes zero as well:
[tex]\tau_{net}=0[/tex]
Therefore, this means that
[tex]\Delta \omega =0[/tex]
So also in this case, there is no change in angular velocity: this means that the angular velocity of the object will remain constant.
So cases (a) and (b) are basically the same situation, as the net torque is zero in both cases, so the object acts in the same way.
The fastest possible conduction velocity of action potentials is observed in ________.
Thermal conductors
A have low latent heat
B. have lots of air pockets
C. are often metals
D. have high conductivity
E. have low conductivity
can pick multiple
Answer:
C. are often metals
and
D. have high conductivity