When the chip is placed in air, the grashof number is 103.217*10-14. (1 atm, 30oc). 150 oC is the constant surface temperature for a 10 x 10 cm plate.
Higher Grashof numbers indicate turbulent boundary layers; lower Grashof values indicate laminar boundary layers, or those in the range of 10 3 to Gr L to 10 6. transfer of mass. When there are issues with natural convection mass transfer, a similar form of the Grashof number is employed.
A surface's temperature is its ambient temperature. In more detail, it could be used to describe: Surface temperature, the temperature of the air at the earth's surface, or the Grashof number when the chip is submerged in liquid (30 degrees)
Gr = g(beta)(Ts -T alpha)L^3/v^2
Gr = 9.81*0.702*10^-3*(150-30)(0.10^3)/10.447*10^-14
Gr = 103.217*10^-14
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a resistor is connected in series with a capacitor. when a power source is applied to the resultig circuit, the capacitor is considered to befully charged after a time period equal to how many time constants
The time needed to fully charge the capacitor is about equal to 5 time constants, or 5T.
What is resistor and capacitor (RT) charging circuit?A resistor (R) and a capacitor (C) together form an RC charging circuit, which has characteristics that change exponentially with time. This means that the charging of a capacitor is not instantaneous since capacitors have i-v characteristics that depend on time.
What is time constant?
Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals.
Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input voltage or signal.
If a resistor is connected in series with a capacitor to create an RC circuit, the capacitor will gradually charge through the resistor until the voltage across it equals the supply voltage.
About five time constants, are what it takes for the capacitor to fully charge.
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what is the maximum wavelength of light (in nanometers) that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 ev?
The maximum wavelength of light that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 eV is 121 nanometer.
Given,
Energy gap = 1.02 eV
Wavelength = ?
We know that,
Speed of light, c, is given as 3 * 10⁸
Planck's constant, h, = 6.626 * 10⁻³⁴
Charge on photons = 1.602 * 10⁻¹⁹
To calculate the maximum wavelength of light we will use a formula of Einstein's equation
Mathematically, Einstein's equation for photon energy is given by this formula:
E = hf = hc/λ
Where:
E is the energy.
h is Plank's constant.
λ is the wavelength.
c is the speed of light.
To find wavelength using the above formula
λ = hc/E
Now, substituting the values, we get
λ = (6.626 * 10⁻³⁴)(3 * 10⁸) / (1.02)(1.602 * 10⁻¹⁹)
λ = 1.21 * 10⁻⁷ m
In 1 nanometer we have 10⁻⁹ m
λ = 121 nm
Therefore, the maximum wavelength of light that would produce an output from a photovoltaic device manufactured from a semiconductor with an energy gap of 1.02 eV is 121 nm.
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Why must microwave towers generally be spaced no more than 30 miles apart to ensure the transmitter and receiver are able to have line-of-sight of each other?.
The distance between stations can only be greater than the visual horizon, or between 30 and 50 miles, due to the requirement of a line of sight (48 to 80 km). The second reason is because, quite surprisingly, microwave networks may have lower latency than fiber, as we have already hinted at.
What is the purpose of a microwave tower?
A physical transmission tool called a microwave antenna is used to send microwave signals between two or more places. Antennas are used for radio astronomy, electronic warfare, and broadcasting in addition to other applications.
What function does the microwave antenna serve in the mobile tower?
A key system component that enables a microwave system to send and receive data between microwave sites is a microwave antenna. They are typically found at a tower's summit.
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using this information, determine the moment of inertia i of the wheel about its axle. please be sure your work is clear. [hint: various unit conversions need to be done before you can do numerical calculations
The supplied statement indicates the wheel's rotational angular velocity.
What, for example, is velocity?The rate at which something goes in one direction or another is referred to as its velocity. as swiftly as a car traveling north on a highway or the speed of a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.
Can velocity reverse itself?An object's velocity is the rate at which its position changes over time (displacement). While velocity, which incorporates both speed and direction, can be either favorable or unfavorable, speed can only be good.
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What are the effects of quotas?.
Import quota effects on the importing country's producers.
In the field of economics quota signifies the time-bound restrictions governments impose on trade. Generally this is done to preserve and motivate domestic business and balance trade. Governments implies quotas by placing barriers on the value or number of exported or imported goods.
Quotas limits market reach to imported products, which significantly results usually into an increase in the domestic price paid by consumers. This leads to a decrease in consumer surplus and lower real incomes.Quotas impose by employers may become less attractive to the job applicants who are male. Quotas may also lead to low engagement and negative job attitudes among male employees. Furthermore, this perception of unfairness may also cause men to be less supportive of diversity policies than they were at their initial stage to implementing quotas. All the benefits of quotas goes to the both producers and to the lucky importers who manage to get the scarce and valuable import permits.Hence, import quota effects on the importing country's producers.
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4a. a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces.
Bh³/3 is the moment of inertia of a rectangular block of mass m.
Moment of inertia is a term used to describe a body's resistance to having the direction of its rotation along an axis changed by the application of a torque (turning force).
Axis options include internal, external, fixed, and moving. The moment of inertia (I), which is always represented in relation to that axis, is obtained by adding the results of multiplying each particle's mass by the square of its distance from the axis in the specific body. When determining the angular momentum of a rigid body, moment of inertia is equal to mass in linear momentum.
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A satellite is in orbit 35600 km above the surface of the Earth. Its angular velocity is 7.27 * 10 ^ - 5 rad/s. What is the velocity of the satellite? (The radius of the Earth is 6400 km.)
The linear velocity of the satellite at the given angular speed and position is determined as 3,053.4 m/s.
What is the linear velocity of the satellite?
The linear velocity of the satellite is calculated by applying the following equations.
v = ωr
where;
ω is the angular velocity of the satellite r is the distance of the satellite from the center of the EarthThe linear velocity of the satellite is the tangential velocity of the satellite and it is measured along the axis or circumference of the Earth.
The distance of the satellite from the center of the Earth is calculated as follows;
r = 35600 km + 6400 km
r = 42,000 km
r = 42,000,000 m
The linear velocity of the satellite is calculated as follows;
v = (7.27 x 10⁻⁵ rad/s) x (42,000,000)
v = 3,053.4 m/s
Thus, the linear velocity of the satellite depends on the angular velocity and distance.
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a boy of mass 43.2 kg runs and jumps onto a stationary skateboard. The boy lands on the skateboard with a horizontal velocity of 4.10 m/s. The skateboard has a mass of 2.50 kg.
Using ideas about conservation of momentum,calculate the combined velocity of the boy and skateboard just after the boy lands on it.
(Pls explain. I've got my physics exams very soon)
The combined velocity of the boy and the skateboard just after the boy lands on it is 3.88 m/s.
What is velocity?Velocity can be defined as the rate of change of displacement.
To calculate the velocity of the boy and the skateboard just after the boy lands on it, we use the formula below.
Formula:
V = Mu/(m+M)............. Equation 1Where:
V = Velocity of the boy and the skatebaordM = Mass of the boym = Mass of the skateboardu = Initial velocity of the boy.From the question,
Given:
M = 43.2 kg m = 2.5 kgu = 4.1 m/sSubstitute these values into equation 1
V = (43.2×4.1)/(43.2+2.5)V = 3.88 m/sHence, the velocity of the boy and the skateboard is 3.88 m/s.
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If the work required to peed up a car from 10km/hr to 2okm/hr i 5. 0 x 10^3 J, what would be the work required to increae the car peed from 20km/hr to 30km/hr
The minimum distance in which car will stop is 256m.
What is distance?
distance is the length of the space between two points.
distance is a numerical or its the occasionally qualitative measurement of how to far apart objects or points .
Sol-here we can apply Newton’s second law to the car of to determine of the maximum static friction to the force acting on the car:
€Fy=ma^y+ n-mg=0
Fs≤us mg
This maximum magnitude of static friction acts so long as the tires roll without skidding.
€Fx=ma^x-----> -fs=ma
The maximum acceleration is
a=-u^s g
The initial and final conditions are- xi=0, vi=50.0mi/h =22.4 m/s and vf =0.Then,
v^2=v^2+2a(xf-xi)---->v^2
f i I
Xf=(22.4m/s)^2/2(0.100)(9.80m/s^2)=256
Thus through the minimum distance in which car will stop is 256m.
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When an object is thrown straight up with no air resistance, what is the velocity at the highest point before it falls down?.
Answer: The answer to that would be zero (0) velocity.
I hope this helps!!!
a small grinding wheel is attached to the shaft of an electric motor which has a rated speed of 4000 rpm. when the power is turned on, the unit reaches its rated speed in 5 s, and when the power is turned off, the unit coasts to rest in 70 s. assume uniformly accelerated motion determine the number of revolutions that the motor executes (a) in reaching its rated speed, (b) in coasting to rest.
In a uniformly accelerated motion, the number of revolutions that the motor executes in reaching its rated speed will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
(a) The acceleration experimented by the grinding wheel in reaching its rated speed can be calculated as:
The number of revolution by the wheel, n = [tex]\frac{(4000 - 0) rev/min}{(5/60) min}[/tex]
So, n = 48000 rev/[tex]min^{2}[/tex]
Now, the number of revolutions completed by the grinding wheel in the period of time can be calculated as:
n = [tex]\frac{(4000^{2} rev/min) - (0^{2} rev/min)}{2. (48000 rev/min^{2}) }[/tex]
So, n = 166.66 or 167 revolutions (approximate value)
(b) The acceleration experimented the grinding wheel in coasting to rest while in a circulatory motion can be calculated as:
n = [tex]\frac{(0 - 4000) rev/min}{(70/60) min}[/tex]
So, n = - 3429 rev/[tex]min^{2}[/tex]
Now, the number of revolutions done by grinding wheel in that period of time will be:
n = [tex]\frac{(0^{2} rev/min) - (4000^{2} rev/min)}{2. (-3429 rev/min^{2}) }[/tex]
Or, n = 2333 revolutions
Hence, in reaching its rated speed the number of revolution made by the grinding wheel will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
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in this problem, take atmospheric pressure to be 1.0 105 pa, and the density of water to be 1000 kg/m3. use g
Because hydrostatic pressure depends on the liquid's density and depth, the pressure at physics bottom of an element fully or partially submerged is higher than at the top.
What is an illustration of pressure?Definition of pressure: Pressure is the usual force per unit area acting on a body's surface. In other words, pressure is the distribution of force throughout a space. Examples of stress include the support provided by the air pressure in a car tire and drinking via a straw.
We measure pressure because ?The determination of a particular chemical pressure is crucial to the production process in many different industries. The consistency and quality of the product must be evaluated, thus it is essential to get exact data.
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the cold water would be found . group of answer choices near the poles west side of the landmasses east side of the landmasses in the center, the center yellow dash line, the equator both a and b both c and d both a and c both b and d
The cold water would be found near the poles and west side of the landmasses.
The cold water would be found near the poles and west side of the landmasses in higher latitudes, this is due to upwelling of cold water. While warm water is found at equator region and east margin of continent in lower latitudes.
Upwelling is a process in which deep, cold water rises toward the surface. Winds blowing across the ocean surface often push water away from an area. When this occurs, water rises up from beneath the surface to replace the diverging surface water.
Therefore, the cold water would be found near the poles and west side of the landmasses.
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Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is:________.
Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is: a spherical halo of dust and gas.
What is milky way?
There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms. The Milky Way's center would take you about 25,000 years to reach, even if you could move at the speed of light (300,000 km/s, or 186,000 mph).
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This mug is made of two layers of glass separated by empty space. it is more effective than a ceramic mug at keeping the beverage warm. why is this design more effective? the beverage has a higher temperature than the air. the air is warmer than the mug. the particles that make up the glass have no thermal energy. the empty space has no particles to transfer thermal energy.
Answer:
The empty space has no particles to transfer thermal energy
Empty space is a very poor thermal conductor
Answer:
D
Explanation:
did it on edge 2023 :)
Strontium forms a face centered cubic unit cell and has a density of 2. 64 g/cm3. What is the radius of a strontium atom?.
Strontium forms a face centered cubic unit cell and has a density of [tex]2.64g/cm^{3}[/tex]. The radius of a strontium is [tex]2.136 x 10^{-8}[/tex] cm.
In physics, how is density used?Density provides an easy way to calculate a body's mass from its volume or vice versa; the mass is equal to the volume multiplied by the density (M = Vd), and the volume is equal to the mass divided by the density (V = M/d).
The structure of strontium (Sr) is similar to that of FCC. In FCC, the relationship between edge length and atomic radius is 2-a=4r2a=4r because unit cell atoms are present in the cube's corner and face centres. In this question, we are given an atomic radius and must calculate the edge length.
Here r=215pmr=215pm so a=4×2152–√=608.2pma=4×2152=608.2pm.
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A steel beam hangs from a cable as a crane lifts the beam. What forces act on the beam?.
The forces that act on the beam are gravity and tension in the cable .
Gravity can be defined as the force that exists almost among all material objects that exist in the universe . Gravity is operating among objects of all sizes starting from subatomic sized particles to clusters of galaxies .It is the force that causes the free fall of an apple from the tree on the ground and also the movement of planets around the sun .
Tension can be defined as a force along the length of a medium , the force here is especially carried by a flexible medium such as a rope or a cable . The SI unit of tension is Newton per meter .
The forces that act on the beam are gravity and tension in the cable .
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the bolts on a car wheel require tightening to a torque of 90 nm. if a 30 cm long wrench is used, what is the magnitude of the force required when the force applied at 53 degrees to the wrench?
To resolve the issue, we'll apply the moments' principle. According to the question, the wrench must exert 90 Nm of torque on the bolt. The angle at which the force acts (53o to the wrench) and the length of the lever arm (30 cm) are provided.
Before moving on to the computations themselves, a conversion. The wrench's length is specified in centimeters, which must be converted to meters:
30cm=30×10−2m=0.30m
Get an expression for the vertical component of the force now using trigonometry. The equation is Fv=Fsin53 since the vertical component is the reverse of the 53o angle.
The vertical component of the force is multiplied by the lever arm to produce the moment of the force (0.30 m).Keep in mind that the force must produce a 90 Nm torque, which I will enter on the left-hand side of the equation.
Calculation:
\s90=Fv⋅0.30=Fsin53⋅0.30
F=90sin530.30=375 N=376N, rearrange for F, and solve.
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alpha particles are emitted in nuclear decay processes with typical energies of 5 mev. in analogy with example 4.9, determine the range of kinetic energies of an alpha particle trapped in a nucleus-sized region and deduce whether the alpha particle can exist inside the nucleus.
The range of kinetic energies of an alpha particle is 2.5 MV
The energy of alpha particle is E=4.8MeV
For alpha particles,
⇒ E = 2eV
⇒ V = 2eE
V = (5 × 10⁶ × 1.6 × 10⁻¹) ÷ (2(1.6 × 10⁻¹⁹))
V = (5 × 10⁶) ÷ 2
V = 2.5 × 10⁶
⇒ V = 2.5 MV
What is alpha particle?The composite alpha particle is made up of two protons and two neutrons that are firmly bonded together. They are released from the nucleus of some radionuclides during an alpha-decay process, a kind of radioactive decay.
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A bicycle is traveling at 15 miles per hour. How many feet will it cover in 100 seconds?.
Answer:
2200 ft
Explanation:
This is a dimensional analysis question.
First, convert 15 miles to feet.
[tex]15 mi(\frac{5,280ft}{1mi})=79200ft[/tex]
Then, convert hours to seconds.
[tex]1 hr(\frac{3600s}{1hr})=3600s[/tex]
Then, use those values to rewrite [tex]\frac{m}{hr}[/tex] as [tex]\frac{ft}{s}[/tex]
[tex]\frac{79200ft}{3600s}=22\frac{ft}{s}[/tex]
Finally, multiply [tex]\frac{ft}{s}[/tex] by the target time in seconds
[tex]22\frac{ft}{s}(100s)=2200ft[/tex]
A 60 g tennis ball with an initial speed of 32 m/s hits a wall and rebounds with the same speed.The figure below shows the force of the wall on the ball during the collision. What is the value of Fmax, the maximum value of the contact force during the collision?
(img)
The value of Fmax, the maximum value of the contact force during the collision is 3.84 and fmax = 960 N.
Friction. Friction is a pressure which fits withinside the contrary path to the path of movement while an item is on a difficult surface. The most or proscribing fee of friction among surfaces is FMAX=μR F MAX = μ R wherein μ is the coefficient of friction and R is the everyday response among the 2 surfaces.
Here the mass = 60 g tennis ball
[tex]with an initial speed of 32 m/s Vc\\Pi = m×v= pf = - mv\\Δp= mv - (m)\\2mv\\2 × 0.06 × 32\\3.84\\J = 1/2 × (2 +6) ×vf max\\J / 4 = f max\\f = J/4\\J = ΔP = 960 N\\F max = 960 N[/tex]
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a car is moving toward the east at 50 km/h while it also moves to the north at 25 km/h . how fast is the car traveling?
The car is travelling at 56km/h.
Calculation:
Given:
Velocity of car in east ([tex]V_{e}[/tex])= 50 km/h
Velocity of car in north ([tex]V_{n}[/tex]) = 25km/h
So, [tex]V_{net}[/tex] = [tex]\sqrt{Ve^{2} + Vn^{2} }[/tex] = [tex]\sqrt{50^{2} + 25^{2} }[/tex]
= [tex]\sqrt{2500 + 625}[/tex]
= [tex]\sqrt{3125}[/tex] = 55.9 kn/h
= 56km/h
The car is travelling at 56km/h.
What is Velocity?
A vector measurement of the speed and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in one direction. Velocity may be used to calculate both the speed of a rocket launching into space and the speed of a car traveling north on a busy motorway.
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What i the wavelength of an electromagnetic wave that ha a frequency of 60,000,000 Hz)
The wavelength is 5.666m.
What is wavelength?
The separation between any two points in a wave and those same points in the subsequent wave cycle. This can be from crest to crest, from trough to trough, from null to null, etc.
What is electromagnetic wave?
The vibrations between an electric field and a magnetic field produce electromagnetic waves, often known as EM waves. In other words, electromagnetic waves are created when magnetic and electric fields oscillate.
Frequency =60,000,000 Hz. As the speed of sound in air = 340 m/s, therefore, wavelength = speed/frequency = 340/60,000,000 = 5.666m.
Therefore, wavelength is 5.666m.
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In a certain viscous ( SAE 30), incompressible flow field with zero body forces the velocity components are
u=ay - b(cy-y^2); V= W= 0;
where a = 5; b = 779 [1/(s m)], and c are constant. Use the Navier - Stokes equations to determine an expression for the pressure gradient in the x direction [Pa/m].
An expression for the pressure gradient in the x direction a - bc = 0,c = - 0.006418.
As given ρ = c
Momentum in x,
ρ [tex]\frac{du}{dt}[/tex] = ρ gx - [tex]\frac{dp}{dx}[/tex] + μ ([tex]\frac{d^2u}{dy^2}[/tex] + [tex]\frac{d^2u}{dy^3}[/tex] + [tex]\frac{d^u}{dz^2}[/tex])
u = ay - b(y - [tex]y^{2}[/tex])
dp/dx = 2bμ
T = 0, du/dy = 0
a - bc = 0
c = - 0.006418
The pressure gradient, which is a physical term used in atmospheric science to indicate the direction and rate at which pressure rises most quickly around a certain site, is normally defined as being of air, although it can also more broadly refer to any fluid momentum. Pascals per meter (Pa/m) is a dimensional unit used to express the pressure gradient. The gradient of pressure as a function of position is what it is mathematically referred to as. The force density is the name for the negative gradient of pressure.
Pressure gradients in petroleum geology and petrochemical sciences relevant to oil wells, and more especially in hydrostatics, refer to the gradient of vertical pressure in a column of fluid within a wellbore and are often stated in pounds per square inch per foot (psi/ft)
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what is the minimum velocity necessary to throw a ball 100 feet high? how long does does it take the ballt o reach 100 feet
It takes 2.49 seconds for the ball to reach 100 feet of height.
What does velocity vs. speed mean?In contrast to speed, velocity describes the rate and direction of an object's motion along a path. In other words, speed is a scalar quantity while velocity is a vector.
Simply put, velocity is the rate of motion of an object in a specific direction. Using a car driving north on a highway as an example, or a rocket after it has launched, as an example of speed. Scalar implies that the velocity vector's absolute value magnitude will always equal the motion's speed.
Using equation,
100 feet = 30.48m
v² = u² + 2as
v² = 0+2×9.8×30.48
v² = 597.40
v = 24.44m/s
v= u +at
24.44 = 0+9.8t
t = 24.44/9.8
t =2.49seconds.
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the oort cloud is group of answer choices a region in the same plane as the planets that contains hundreds of thousands of comets. a circular region between the orbits of mars and jupiter that contains most known asteroids. a roughly spherical region larger than the orbit of pluto that may contain a trillion comets. the cloud of gas from which the solar system formed. a vast cloud of gas that encircles the solar system at a great distance from the sun.
The Oort cloud is c. a roughly spherical region larger than the orbit of Pluto that may contain a trillion comets.
In the field of science, the Oort cloud can be described as a spherical region of stars and comets that are known to surround the Sun. It is also believed that the region of Oort cloud is bigger than Pluto which is no longer considered to be a planet.
The Oort cloud is known to expand from 2,000 to 200,000 Astronomical Unit (AU) around the Sun.
However, it is difficult to observe the Oort cloud through a telescope or the eye.
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A solid cylinder of mass m and radius R has a string wound around it. A person holding the string pulls it vertically upward, as shown, such that the cylinder is suspended in midair for a brief time interval Δt and its center of mass does not move. The tension in the string is T, and the rotational inertia of the cylinder about its axis is ½ MR2.
1. The net force on the cylinder during the time interval Δt is
A: T-mgR
B: mgR-T
C: mg
D: zero
The linear acceleration of the person's hand during the time interval Δt is
A: 2g
B: T/m-g
C: T/m
D: g/2
(1) The net force on the cylinder during the time interval Δt is zero.
option D is the correct answer.
(2) The linear acceleration of the person's hand during the time interval Δt is a = T/m - g
option B is the correct answer.
What is the net force on the cylinder during the time interval Δt?
The net force on the cylinder during the time interval Δt is determined by summing all the forces acting on the cylinder at the given time interval.
F(net) = upward force - downward force
F(net) = T - W
F(net) = T - mg
where;
T is the tension in the string pulled upwardW is the weight of the cylinder acting downwardm is the mass of the cylinderg is acceleration due to gravityIf the cylinder is suspended in mid air for a brief time interval Δt and its center of mass does not move, then the net force must be equal to zero.
F(net) = T- mg = 0
The linear acceleration of the person's hand during the time interval Δt is calculated as follows;
T - mg = ma
mg + ma = T
ma = T - mg
a = (T - mg)/m
a = T/m - mg/m
a = T/m - g
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an aircraft is spotted by two observers who are 1000 feet apart.as the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. how high is the airplane?
The height of the airplane is 335.17 ft.
Let PQ be the base, AB be the vertical distance from the ground to the aircraft.
One observer is standing at P and the angle of inclination from P to A is 50°.
Another observer is standing at Q and the angle of inclination from Q to A is 25°.
We know that, PB + BQ = 1000 ft
PB = 1000 - BQ -----(1)
When we consider a triangle PAB, Tan 50° = AB/PB
AB = PB Tan 50° ------(2)
Consider the triangle ABQ, Tan 25° = AB/BQ
AB = BQ Tan 25° ------(3)
Equating (2) and (3) we have,
PB Tan 50° = BQ Tan 25° -----(4)
Substitute (1) in (4), we get,
(1000 - BQ) Tan 50° = BQ Tan 25°
1000 Tan 50° - BQ Tan 50° = BQ Tan 25°
BQ (Tan 25° + Tan 50°) = 1000 Tan 50°
BQ = 1000 Tan 50°/ (Tan 25° + Tan 50°)
BQ = 718.76 ft
PB = 1000 - 718.76 = 281.24 ft
AB = PB Tan 50° = 281.24* Tan 50° = 335.17 ft
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a 32.0kg sign is attached outside of a building by four vertical ropes. how much tension (in n) would be in each individual rope to keep the sign motionless?
Answer:
the answer would be 78.4N worth of tension each.
Explanation:
we know that the sign is motionless and all of the tensions are the same, so let us represent the system with newtons second law with the y-axis pointing upwards
[tex]\sum F_y=4t-mg[/tex]
where t is the tension of one of the strings and m is the mass of the signpost. We know that the net force in the y direction is zero, so[tex]4t-mg=0\Rightarrow{t=\frac{mg}{4}=\frac{32.0*9.8}{4}=78.4}[/tex]
A sample of helium gas in a balloon is compressed from 5. 26 l to 3. 78 l at constant temperature. If the initial pressure was 4. 39 atm, what is the new pressure?.
Answer:
[tex]P_2=3.79atm[/tex]
Explanation:
According to Boyle's Law:
[tex]P_1V_1=P_2V_2[/tex]
Rewriting to find [tex]P_2[/tex]:
[tex]P_2=\frac{P_1V_1}{V_2}[/tex]
[tex]P_1=4.39atm\\V_1=5.26L\\V_2=3.78\\P_2=\frac{(4.39atm)(3.26L)}{3.78L}\\P_2=3.7861atm[/tex]
This answer follows Boyle's statement that pressure is inversely proportional to volume (V∝[tex]\frac{1}{P}[/tex]). As the volume decreases, the pressure must proportionately increase.
