The answer is True
When we do not have the numerical value of mass.
The answer is False
By choosing a value of hanging mass it becomes false.
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suppose the ring rotates once every 5.50 s . if a rider's mass is 51.0 kg , with how much force does the ring push on her at the top of the ride?
The force does the ring push on her at the top of the ride is 489.37N.
What does the word "force" mean?When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force.
Given,
Ring rotates (T) = 5.50 s
Mass m= 51.0 kg
The velocity will now be determined as,
V = 2πr/T
V = 2π8/5.50
V = 50.54/5.50
V = 50.54/5.50
V = 9.134m/s.
By bringing the forces into balance,
N = mv²/R - mg
N = m (v²/R - g)
N = 51(9.134²/8 - 9.8)
N = 51(83.42/8 -9.8)
N = 489.37N
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The telescope that allowed astronomers to discover most of the planets found with the transit method was called?.
The telescope that allowed astronomers to discover most of the planets found with the transit method was called the Kepler mission.
What is the Kepler mission?Through only this one telescope, Kepler, astronomers have found thousands of extrasolar planets, or exoplanets, since its inception. Most of them are planets with diameters ranging from Earth's to Neptune's (which is four times the size of Earth). Where Kepler was directed for the first four years of its mission, in an area of the constellation Cygnus roughly the size of the palm of a hand held at arm's length, many of these planets were found.
According to the NASA Exoplanet Archive, as of November 2020, Kepler was credited with finding 2,392 exoplanets, with 2,368 candidate planets still awaiting confirmation.
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when a 20.6 v battery is connected to a resistor with resistance 68.1 ohms, the voltage across the battery drops to 18.8 v. what is the internal resistance (in ohms) of the battery?
The internal resistance of the battery is 5.686ohms.
How much resistance does the battery interior have?A battery's internal resistance (IR) is characterized as the resistance to current flow inside the battery. The internal resistance of a battery is primarily affected by two factors: electrical resistance.
The main causes of the increase in internal resistance with lead acid are sulfation and grid corrosion. Temperature has an impact on resistance as well; heat reduces it and cold increases it. An increase in runtime can be achieved by briefly lowering the internal resistance of the battery
The formula below is used to determine the battery's internal resistance.
(V/R)r = V'
Make r the equation's subject.
r = V'R/V
Given:
V = 68.1 V
R = 20.6 ohms
V' = 18.8 V
r = (18.8×20.6)/68.1
r = 387.28/68.1
r = 5.686ohms.
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suppose that a microscope has an objective whose focal length is 1.00 mm and an eyepiece whose focal length is 25.0 mm. what is the magnifying power (m)) of the microscope? group of answer choices 25x 0.04x we need more information to calculate mp. 625x 160x
The ratio of the image's distance from the lens to the object's distance determines a lens's magnifying capability. Thus, the microscope's magnification factor m=m1m2.
Explain about magnifying power?Magnifying power is a lens's capacity to enlarge an image by how much. The least distance of distinct vision, or LDDV, and the focal length of the lens are directly correlated. Your eyes can easily focus on an object up to their LDDV.
By dividing the focal length of the scanning object (lens) by the focal length of the eyepiece, the magnifying power is computed. A 1x magnification power results in a 100% increase in the size of the thing being enlarged. A 1-inch object, for instance, would appear to be 2 inches at 1x.
The ratio of the angle the image at the eye occupies to the angle the object occupies is known as the magnifying power of the microscope.
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what happens to the speed of a molecule when it hits an oncoming faster molecule? when it hits a receding one?
When it hits a receding one, its rebound speed is reduced.
What is the speed of the molecules?To compute a few more gas properties, the kinetic theory of gases is a little more expanded. It is discovered that the average velocity of a gas molecule is approximately the speed of sound. The pressure is caused by the gas molecules' collisions with the container's walls. The ideal gas model presupposes that the gas molecules are, on average, so far apart that they do not collide. The average separation between collisions (also known as the "mean free path") between gas molecule collisions will be determined.Diffusion, viscosity, and thermal conductivity are only a few of the properties of a gas that are influenced by molecular collisions. A fluid's "stickiness" is determined by its viscosity, while diffusion determines how quickly, for example, an ink drop spreads out in a glass of water. The application of the kinetic theory of gases will be illustrated with a straightforward formula for the diffusion coefficient.To learn more about speed of molecules, refer to
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Fill in the blanks using the word bank.
Answer: We are unable to see the word bank please update it with a more clear bank word image.
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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astronauts connect a line between their 3200-kg spaceship and a 7700-kg asteroid. using the ship's engine, they pull on the asteroid with 620 n of force. if the asteroid and the ship are initially 450 meters apart, how long does it take for the ship and asteroid to meet?
As the spaceship pull the asteroid with 620 N of force, they will meet after 105.4 seconds.
The gravitational force between the ship and the asteroid is very small compared to the force caused by pulling the asteroid. Hence, we can assume that the only force applied on the asteroid is the pulling force.
Using the Newton 2nd Law of motion:
F = m . a
Where
F = pulling force = 620 N
m = mass of the asteroid = 7700 kg
a = acceleration
Hence,
a = F/ m = 620 / 7700 = 0.081 m/s²
Using the equation of motion:
s = 1/2 . a t²
Where:
s = distance = 450 meters
t = time
Hence,
450 = 1/2 . (0.081) t²
t² = 11,111.11
t = 105.4 seconds
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Thousands of small rocky objects are located in the solar system between mars and jupiter. These objects are.
Thousands of small rocky objects known as asteroids can be found in the solar system between Mars and Jupiter.
What exactly is a solar system?The Solar System is composed of the Sun and the objects that orbit it. It was created by the gravitational collapse of a massive interstellar molecular cloud 4.6 billion years ago. The Sun contains the vast majority of the system's mass, with Jupiter holding the majority of the remaining mass.
Asteroids are rocky bodies that orbit the Sun. Although asteroids orbit the Sun in the same way that planets do, they are much smaller. In our solar system, there are numerous asteroids. The majority of them are found in the main asteroid belt, which lies between the orbits of Mars and Jupiter.
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two parallel metal plates are 5 cm apart and have equal surface charge densities of 9 nc/m2 of opposite signs on their inner surfaces. what is the electric field between the plates?
1.01 x 10³ C/m² is the electric field present between the two metal plates.
The electric field is defined as the region around a charged particle or charged body in which if another charge is placed experiences an electrostatic force.
The electric field inside two equal and opposite charged plates is given by
E = σ / ε ------ equation 1
here σ is the surface charge density = 9 x 10⁻⁹ C/m²
ε = Dielectric permittivity = 8.85 x 10⁻¹² C²/Nm²
Putting the values in equation 1
E = 9 x 10⁻⁹ / 8.85 x 10⁻¹²
=> 1.01 x 10³ N/C
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the speed of the incoming water is 30 cm/s and the cross-sectional area of the hose carrying the water is 3.0 cm2. 1) determine the time required for a 25-l container to be filled with water. (express your answer to two significant figures.)
The time required for a 25-L container to be filled with water is 277.7 min.
what is time?
Time is something that everyone is familiar with, but it is difficult to explain and comprehend. Time is defined differently in science, philosophy, religion, and the arts, but its measurement method is rather constant.
The time is measured in seconds, minutes, and hours. While the origins of these units have altered over time, they may be traced back to ancient Sumeria. The cesium atom's electrical transition defines the contemporary international unit of time, the second.
Given:
Incoming water speed (v) = 30cm/s
Hose area (A) = 2 cm²
volume of the container, V = 25 L = 25,000 cm³
The volumetric flow rate of the water is calculated as follows;
q=av
V/t=Av
T=V/Av
=25000/3x30
=25000/90
=277.7s
therefore the time required was 277.7 seconds
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what is the linear separation d at the retina? the minimum diameter of the pupil is about 2 mm, the eye is most sensitive to wavelengths of about 500 nm (air), the index of refraction of the aqueous humor is n
the linear separation d at the retina is 5.73micrometers
diameter=2mm
lambda=500nm
nair=1.33
d=2.5cm
alpha=1.22lambda/nd
=1.22(500x10^9)/(1.33)(2x10^-3)
=2.3x10^-4 rad
D=(2.3x10^-4)(.025)=5.73micrometers
The area of the eye that transforms light into neural signals is called the retina (Latin: rete, "net"). Most vertebrates and some molluscs have this innermost, light-sensitive layer of tissue in their eyes. A two-dimensional representation of the visual world is created on the retina by the optics of the eye (cornea and lens); some of the image is in focus and some of the image is out of focus. Visual perception is produced by the retina's processing of the image and the optic nerve's transmission of nerve impulses to the visual cortex. Similar to a camera's image sensor, the retina fulfills a purpose.
The neural retina is supported by an outer layer and is made up of numerous layers of neurons coupled by synapses.
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two parallel plates are maintained with constant voltage by a battery as they are pulled apart. what happens to the strength of the electric field during this process?
During this process, the electric field gets stronger.
Between parallel plates, why does the electric field remain constant?Because of the assumption that the distance between the plates is small in comparison to the area of the plates, the electric field in parallel plates is uniform and roughly constant. Due to the interaction of the fields produced by the two plates, the field is roughly zero outside of the plates.
The capacitor's two oppositely charged plates are separated by an electric field that is constant throughout, with the exception of the plate edges. The electric field does not change because the space between the plates is smaller than their combined surface area.
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a long solenoid that has 950 turns uniformly distributed over a length of 0.390 m produces a magnetic field of magnitude 1.00 10-4 t at its center. what current is required in the windings for that to occur? ma
current is required in the windings for that to occur is 32.67mA
N=950
L=0.390m
B=1.0×10⁻⁴
B=μ₀ni
n=N/L(number of turns per unit length)
i=current
μ₀=permeability of free space =4π×10⁻⁷mkgs⁻²A⁻²or4π×10⁻⁷Tesla-m/A
i=B/μ₀n
i=1.0×10⁻⁴×0.390/4π×10⁻⁷×950
i=32.67mA
Electric current is a flow of charged particles—such as electrons or ions—that moves through a conductor for electricity or into void space. It is measured by the net rate of electric charge passing through a surface or into a control volume. Moving particles, or charge carriers, can be any number of distinct kinds of particles depending on the conductor. The charge carriers in electrical circuits are frequently electrons moving down a wire. In semiconductors, they could be electrons or holes. Ions are the charge carriers in an electrolyte, and plasma, an ionized gas, is composed of both electrons and ions.
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Please someone help!! I don’t know how to figure this out!
Answer:
relax
Explanation:
your answer is right there in front of you force = weight
area of feet = area
while your pressure = force per unit area i.e
force/area = 600/0.03
= 2 × 10⁵
a pushing force of 7 n to the right is applied to a book on a table. a frictional force of 3 n is applied in the opposite direction. in which direction will the book move? (1 point)
The book will move in the right direction as the pushing force is greater than the frictional force.
What is the net force?The net force can be defined as the vector sum of all forces acting on an object. The net force is defined as a single force giving same the effect as the original forces on the object's motion.
The net force becomes the resultant force with the same effect on the rotational motion as all original forces took together by the object.
In the question, the pushing force will act in the opposite direction of the frictional force so we can find the net force by subtracting these two forces.
Given, the pushing force to push the box = 7N
The frictional force on the book, = 3 N
The net force on the book = 7N + (-3N) = 4N
Therefore, the net force act in the direction of the pushing force, therefore, the book will move in the right direction.
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Answer:The book will move to the right.
Explanation:
what is the relationship between the incident and reflected angles of a beam of light with different types of mirrors?
The relationship between the incident and reflected angles of a beam of light with different types of mirrors that both the angles are equal
According to the law of reflection, the angle of incidence equals the angle of reflection. Irrespective of mirror , whether it is a concave mirror , convex mirror or plane mirror , this law remain same in all condition where the incident angle is always equal to reflected angle .
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8. a car tire has a radius of 0.26 m. a) how far (path length) does a point on the circumference travel if the wheel is rotated through angles of 30 rad? b) if the car travels 80000 km before wearing out the tires, how many revolutions do the tires make, neglecting backing up and any change in radius due to wear?
a point on the circumference travel if the wheel is rotated through angles of 30 rad is 7.8m
4.9 x [tex]10^{7}[/tex] revolutions if the car travels 80000 km.
What is called radian?The Standard International (SI) unit of plane angular measurement is the radian.A full circle has a radius of 2 pi, or approximately 6.28318 radians.One radian therefore equals around 57.296 angular degrees.The Radius of the tyre = 0.26 m.
Perimeter = 2[tex]\pi r[/tex] =0.52[tex]\pi[/tex]m
When the circle is rotated through an 30rad angle, a point of its circumference travels a distance equal to an 30rad arc of this circle.
a full revolution is 2π rad, then an 30rad angle represents
30/2[tex]\pi[/tex] =15/[tex]\pi[/tex]
15/[tex]\pi[/tex] * .52 [tex]\pi[/tex] = 7.8 m
d = 7.8 m.
the car travels 80000 km
revolutions do the tires = 80000 * [tex]10^{3}[/tex]/ 0.52[tex]\pi[/tex]
=4.9 x [tex]10^{7}[/tex] revolutions.
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Select all that apply.
Salt dissolved in water is a solution, therefore _____.
A. salt and water are chemically combined
B. salt is not chemically bonded to water
C. salt and water retain their own chemical properties
D. the ratio of salt to water may vary
E. the quantity of salt and water is fixed
Answer:B
Explanation:explanation
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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1) a magnetic field is not produced by a) stationary electric charge b) moving electric charge c) electric current d) an electromagnet e) current-carrying solenoid g
The magnetic field will not be produced by a) stationary electric charge
Any stationary charge in the system will not produce any magnetic field because it will not affect both the magnetic and electric fields. Thus it will not be able to produce any effect on the magnet. whereas in all other options like moving electric charge, electric current, electromagnet, current carrying solenoid, there will be the movement of the charges, which will produce the magnetic field because it will affect both the magnetic and electric field in the system and It will able to produce an effect on the magnet
Thus, the magnetic field is not produced in stationary electric charges.
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at a location in europe, it is necessary to supply 1000 kw of 60-hz power. the only power sources available operate at 50 hz. it is decided to generate the power by means of a motor- generator set consisting of a synchronous motor driving a synchronous generator. how many poles should each of the two machines have in order to convert a 50-hz power to 60 hz?
The number of poles that the two machines should have in order to convert a 50-hz power to 60-hz is a 10 pole synchronous motor must be coupled to a 12-pole synchronous generator.
n = 120 f / P
n = Speed of synchronous machine
f = Frequency
P = Number of poles
For motor,
f = 50 Hz
n = 120 * 50 / Pm
For generator,
f = 60 Hz
n = 120 * 60 / Pg
To accomplish the frequency conversion, the speed of the motor and generator must be equal. So,
120 * 50 / Pm = 120 * 60 / Pg
Pg / Pm = 6 / 5
Pg / Pm = 12 / 10
Therefore, to accomplish the frequency conversion, a 10 pole synchronous motor must be coupled to a 12 pole synchronous generator.
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if at a particular instant and at a certain point in space the electric field is in the x-direction and has a magnitude of 5.00 v/m , what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? express your answer in teslas.
The magnitude of the magnetic field of the wave at this same point in space and instant in time is 1.67 × 10 ⁻⁸ T
The direction of the electric field is pointing in the positive x direction and the direction of propagation of the wave is in the positive z direction. Therefore, the direction of the magnetic field is in the positive y direction. Because in an electromagnetic wave, the direction of the electric field, the direction of wave propagation, and the magnetic field all lie perpendicular to each other.
According with the right-hand rule, the thumb points within the route of the current, the hands factor inside the course of the magnetic subject, and the resulting pressure at the charge points outwards from the palm. The pressure on a negatively charged particle is inside the opposite path.
Calculation:-
B₀ = E₀/c
= 5 / 3 × 10⁸
The magnitude of the magnetic field is equal to = 1.67 × 10 ⁻⁸ T
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a force of 50 n is applied tangentially to the rim of a solid disk of radius 0.12 m. the disk rotates about an axis through its center and perpendicular to its face with a constant angular acceleration of 110 rad/s2. determine the mass of the disk.
Since (r ) equal to A plus Br, the mass per unit area of a circular disc with radius a depends on the distance r from its center.
Determine the mass of the disk ?Mass is obtained by multiplying density by volume.The volume of a disk is equal to its area times thickness, or r2 times thickness.Simply multiply this volume by the disk density, and there you have it!a disk's bulk.
F= 50 N
r= 0.12 m
α = 110 rad/s²
The moment of inertia of disk about center
I= 0.5 m r²
m=mass , r=radius
The moment of inertia of disk about O
I' = 0.5 m r²+ m r²
I'=1.5 m r²
The torque produce by force F about O
τ = F x 2r
τ =2 F r
= 2 x 50 x 0.12 N.m
τ =12 N.m
We know that
τ = I' α
12 = 1.5 x m x 0.12² x 110
m=2.37 Kg
Mass of the disk m= 2.377 kg
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you and a friend are on a swing set and her swing is slightly longer than yours. if you both start swinging at the same time, from the same height, where will she be after you have completed one complete swing back and forth?
She might be barely lower than you however shifting upward in the direction of you.
Oscillation is the repetitive or periodic variation, generally in time, of a few measures approximately a critical price or among or greater distinct states. familiar examples of oscillation consist of a swinging pendulum and alternating modern-day.
A pendulum is a weight suspended from a pivot so that it can swing freely. whilst a pendulum is displaced sideways from its resting, equilibrium position, it's miles issue to a restoring force due to gravity so one can accelerate it returned toward the equilibrium function.
Oscillation is defined as the method of repeating versions of any quantity or degree about its equilibrium price in time. Oscillation can also be defined as a periodic variant of a rely on among values or approximately its crucial price.
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for a slinky, the unstretched length is much shorter than the stretched length. suppose that the fundamental standing wave is oscillating on a slinky. how does the period of the standing wave change as the length of the slinky is altered?
Using the concepts of simple harmonic progression, we got that period of the standing wave changes directly proportional as the length of the slinky is altered.
We know very well that a standing wave traverse alternatively from crest to trough.
Crest is defined as that point when amplitude is maximum in positive y-direction and trough is defined as that point when amplitude is maximum in negative y-direction.
To traverse from crest to trough, a standing wave requires some time.
When the length of standing wave changes the time required by the standing wave also changes.
It means if we increase the length of slinky then the time required by the standing wave also increases and if we decrease the length of slinky then the time required by the standing wave also decreases.
Hence, when the fundamental standing wave is oscillating on a slinky, the period of the standing wave change directly proportional as the length of the slinky is altered.
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a solenoid is wound with a single layer of insulated copper wire (of diameter 1.0 mm) and is 14.6 cm in diameter and 1.4 m long. how many turns are on the solenoid? assume that adjacent wires touch and that the insulation thickness is negligible.
How many turns are on the solenoid? The number of turns on solenoid are 1.400 turns
To find how many turns on solenoid can be calculated as follows:
Given data,
[tex]d[/tex] (diameter of copper wire) = 1mm = 1×[tex]10^{-3}[/tex]m
[tex]D[/tex] (diameter of solenoid) = 14.6cm = 0.146m
[tex]l[/tex] (length of solenoid) = 1.4m
Next, to determine how many turns on solenoid, we can use the formula below:
[tex]N=\frac{l}{d}[/tex]
[tex]N=\frac{1.4}{0.001}[/tex]
[tex]N=1.400[/tex] turns
Therefore, the number of turns on solenoid are 1.400 turns
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light that is polarized along the vertical direction is incident on a sheet of polarizing material. only 67% of the intensity of the light passes through the sheet. what angle is the axis of the polarizer oriented, with respect to the vertical?
125.06⁰angle is the axis of the polarizer oriented, with respect to the vertical
given,
Only 67.0% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. No light passes through the second sheet.
for the first sheet we have malus law as
I =I₀cos²θ₁
here(given)
I/I₀ = 0.67
so cos²θ₁ =0.67
θ₁ = cos⁻¹√(0.67)
= 35.06⁰
which is the angle the first sheet makes with transmission axis
here given no light passes through the second sheet i.e. both the sheets are in crossed position
so the angle the transmission axis of the second sheet makes with the vertical is
θ₂ = θ₁ +90⁰
=35.06 + 90⁰
=125.06⁰
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at noon, ship a is 100 km west of ship b. ship a is sailing south at 35 kmh and ship b is sailing north at 25 kmh. how fast is the distance between the ships changing at 4:00 pm?
To calculate the distance between the ships by formulas.
What constitutes speed?
The speed at which a position of an object changes in any direction. Speed is defined as the ratio of distance travelled to the amount of time needed to cover that distance. Because it only has a direction and no magnitude, speed is a scalar quantity.
What is distance?
Distance is an object's overall movement, independent of direction. Distance can be described as the amount of ground that an object has covered, regardless of its starting or ending points.
Known dx/dt= 35km/h
dy/dt= 25km/h
dz/dt when x=(4.35)= 140km and
y=(4.25) = 100 km
( then =[tex]\sqrt{100^2 + 240^2}[/tex] = 260 km)
∴ 100^2 ( x+y)^2 = Z²
0+∂(x+y)(dx/dt+dy/dt)=∂z(dz/dt)
=∂(140+100)(35+25)=∂(260)(dz/dt)
dz/dt= 55.4km/h
Therefore, the distance between the ships is55.4km/h.
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the force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed. suppose that 640 pounds of force keeps a 2600-pound car from skidding on a curve of radius 650 at . what force would keep the same car from skidding on a curve of radius at ?
The force needed to keep a 2600-pound car from skidding on a curve of radius 650 at is 640 pounds.
The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve and jointly as the weight of the car and the square of the car's speed.
The same force would keep the same car from skidding on a curve of radius at , because:
1) The force is inversely proportional to radius. If one goes up, the other goes down.
2) The force is jointly proportional to weight and square speed. If one goes up, so does another; if one goes down, so does another.
3) 1600 pounds will keep a 2600-pound car from skidding on both curves--the force does not depend on which curve you're talking about!
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