The engine's thermal efficiency if the gas volume is halved during the adiabatic compression is 24%
Any thermal cycle's efficiency is expressed as
[tex]$$\eta=1-\frac{T_c}{T_h}$$[/tex]
We know that for an adiabatic process
[tex]$$p V^\gamma=\text { const }$$[/tex]
From the first law, we may express pressure in terms of temperature.
[tex]$$\begin{aligned}& p V=n R T \\& \Rightarrow p=\frac{n R T}{V} \propto T V^{-1}\end{aligned}$$[/tex]
As a result, we have the following for an adiabatic process:
[tex]$$T V^{\gamma-1}=\text { const } .$$[/tex]
Let us now calculate a temperature ratio based on the volume ratio:
[tex]$$T_c V_c^{V-1}=T_h V_h^{\gamma-1}$$[/tex]
We get that
[tex]\frac{T_c}{T_h}=\frac{V_h^{\gamma-1}}{V_c^{\gamma-1}}=\left(\frac{V_h}{V_c}\right)^{\gamma-1}$$[/tex]
The Efficiency will be,
[tex]$$\begin{array}{r}\eta=1-\left(\frac{V_h}{V_c}\right)^{\gamma-1} \\\eta=1-\left(\frac{1}{2}\right)^{1.40-1}=24 \% .\end{array}$$[/tex]
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a foot ladder is resting in a wall and start slipping along the wall at a rate of m/sec. how fast is the based of the ladder moving away from the wall when the ladder is at the high meters?.
A foot ladder is resting in a wall and start slipping along the wall at a rate of m/sec. Along the diameter of the ladder, fast is the based of the ladder moving away from the wall when the ladder is at the high meters.
Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system). In order to stress the difference between the instantaneous velocity and average velocity, velocity is defined as the rate of change of location with regard to time. The average velocity of an object, or the constant velocity that would produce the same resultant displacement as a variable velocity in the same time interval, v(t), over some time period t, may be required in various applications. Always, an object's average velocity is less than or equal to its average speed.
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1.10 g of an unknown compound reduces the freezing point of 75.22 g benzene from 5.53 to 4.92 ∘c.
The molar mass of the compound will be 123 g/mole
The ratio between the mass and the amount of substance in any sample of a chemical compound is known as the molar mass in chemistry.
How to determine a compound's molar mass
Calculate the number of atoms in each element in the compound using the chemical formula.
Add up the atomic weights of all the elements in the complex and multiply the result.
Calculate the total and convert it to grams per mole.
Change in freezing point, [tex]\delta T_f = K_f \times m[/tex]
where Kf=Cryoscopic constant=5.12 degree C for Benzene
m=molality
[tex]\delta T_f=5.53-4.92=0.61[/tex] degree C
[tex]m=\frac{\detlaT_f}{K_f}=\frac{0.61}{5.12}=0.119[/tex] mol/kg
Molality=wt(solute)/(MW(solute)*kg of solvent)
[tex]0.119=\frac{1.10}{(MW \times 0.07522)}\\\\MW=123\:g/mol[/tex]
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The complete question should be:
1.10 g of an unknown compound reduces the freezing point of 75.22 g benzene from 5.53 to 4.92 ºC. What is the molar mass of the compound?
a circular coil of radius 15 cm is placed in a uniform magnetic field of strength 0.70 t. the direction of the magnetic field is at an angle of 20o with the normal of the coil. what is the magnetic flux through the coil?
The magnetic flux through the coil is 667.38 mWb. Magnetic flux is an important concept in electromagnetism and is used to calculate the force on a conductor in a magnetic field
Magnetic flux is a measure of the strength of a magnetic field passing through a surface. It is defined as the product of the surface area and the component of the magnetic field perpendicular to that surface.
The unit of magnetic flux is the weber (Wb), which is defined as the amount of magnetic flux that produces an electromotive force of one volt in a conductor that is completely enclosing a flux of one weber.
The magnetic flux through the coil is given by the equation:
φ = BAcosθ
where φ is the magnetic flux, B is the strength of the magnetic field, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the surface of the coil.
In this case, the magnetic flux is given by:
φ = (0.70 T) * (π * (15 cm)^2) * cos(20o)
= 667.38 mWb
Note that the magnetic field strength is in tesla (T), the radius of the coil is in centimeters (cm), and the magnetic flux is in milliwebers (mWb).
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True or false :if there is a net force acting on an object it means there is an unbalanced force.
Answer:
true
Explanation:
The object will always accelerate if it has an unbalanced force acting on it in that direction
A 1200kg elevator i upported by a cable in which the maximum afe tenion i 14. 000N
A. What i the greatet upward acceleration of the devetor
B. The greatet downward acceleration
(a)The greatest upward acceleration of the elevator with 1200 kg mass and specified maximum tension is 11.67 m/s².
(b) The greatest downward acceleration is 9.8 m/s².
(a) Given that,
Mass of the elevator = 1200 kg
Tension = 14000 N
Acceleration is the pace at which the speed and direction of a moving object alter over time.
We know the formula to calculate force as, F = m* a
Making a as subject, we have a = F /m
Putting the values in the equation,
a = F /m = 14000/1200 = 11.67 m/s²
Hence, the upward acceleration of the system is 11.67 m/s²
(b) The greatest downward acceleration is nothing but the acceleration due to gravity.
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you are a passenger on a spaceship. as the speed of the spaceship increases, you would observe that the length of your spaceship is: [a] getting shorter. [b] getting longer. [c] not changing.
As the speed of the spaceship increases, we, as passengers, would notice that the length of your spaceship does not change.
Astronauts do not notice their speed any more than do passengers on a commercial aircraft once they are traveling in orbit at a constant speed of roughly 16,150 mph (26,000 kph). A spaceship is a form of artificial satellite used for a wide range of tasks such as communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and cargo and person transfer. All spacecraft, with the exception of single-stage-to-orbit rockets, require a launch vehicle to enter space (carrier rocket).
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Tom has a mass of 70.8 kg and Sally has a
mass of 48.1 kg. Tom and Sally are standing
31.3 m apart on a massless dance floor. Sally
looks up and she sees Tom. She feels an
attraction.
If the attraction is gravitation, find its magnitude. Assume both can be replaced by point
masses and that the gravitational constant is
6.67259 × 10^−11 N · m^2
/kg^2
Answer in units of N.
Answer:
The Gravitational Attraction of Tom and Sally is 28.4631292 N.
Explanation:
The gravitational force formula is
gravitational force = (gravitationalconstant)(massofobject1)(massofobject2)/(distancebetweenobjects)^2
So if you plug in the values given, you get 28.4631292.
one block 3 of 3kg is next to a 5kg block, 47 newtons is being applid to the first block. what is the force between the blockws
The calculated answer is 196 N. The 2 kg block applies a typical response force of 16 N to the 3 kg block.
Newton's second law of motion states that the force applied by an object equals its mass times its acceleration: F = m ⨉ a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared). Multiply the block's height and breadth to find its area. By the block area, divide your wall space. It is determined by multiplying the force's intensity by the distance the object moves in the force's direction.
F = mg = (20 kg)(9.8 m/s2)
= 196 N
in the aforementioned case, and
W = (196 N)(1.5 m)
= 294 Nm.
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6. focus on concepts, question 6 five hockey pucks are sliding across frictionless ice. the drawing shows a top view of the pucks and the three forces that act on each one. the forces can have different magnitudes (f, 2f, or 3f), and can be applied at different points on the puck. only one of the five pucks could be in equilibrium. which one?
The figure (4) is said to be in equilibrium with the force 2F in the centre and F on the top and bottom of the hockey puck.
For a body to be in equilibrium, the net force acting on the body and the net moment acting on the body must be zero.
Let us consider the net force acting on the body of pucks (force toward positive direction is positive and force towards negative direction is negative).
For puck 1, net force = 3F - F -2F = 0
For puck 2, net force = 2F + F - F = 2F
For puck 3, net force = F + 2F - F = 2F
For puck 4, net force = F + F - 2F = 0
For puck 5, net force = 3F - F - 2F = 0
In puck 1 and puck 5, net torque about the centre mass is not zero.
In puck 4, net torque about the centre mass is zero.
Thus, puck 4 is said to be in equilibrium.
The question is incomplete. The figure is missing in the question. It is attached in the below attachment.
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A box with a passenger inside is launched straight up into the air by a giant rubber band. Before launch, the passenger stood on a scale and weighed 750 N.Once the box has left the rubber band but is still moving upward, is the passenger's weight more than 750 N, 750 N, less than 750 N but not zero, or zero?
The passengers weight will be zero according to the box, but their true weight is still 750 N.
If the passenger was standing on a scale in the box, the scale would be at zero. This is because the passenger, box, and scale are all in free fall. The passenger still has mass, though and is still in a gravitational field, therefore it has a true weight of 750 N, which is mass X acceleration due to gravity, mg. Technically something can only have weight if it a normal force exists between the mass and the surface of another object, such as a scale.
Freefall is defined as a situation when a body is moving only under the influence of the earth's gravity. Since external force is acting on the ball, the motion will be accelerated. This free-fall acceleration is also known as acceleration due to gravity.
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)how far beyond its natural length (in cm) will a force of 50 n keep the spring stretched? (round your answer one decimal place.)
The spring will stretch beyond its natural length by 1.5 cm when a force of 50 N is applied.
The amount of stretching a spring experiences when a force of 50 N is applied to it is determined by Hooke's Law. According to Hooke's Law, the force applied to the spring and the extension of the spring are proportional. This means that the greater the force applied to the spring, the greater the extension.
Using Hooke's Law, the amount of extension of the spring when a force of 50 N is applied can be calculated using the following formula:
Extension = Force/Spring Constant
Where the spring constant is a measure of how stiff the spring is.
To calculate how far beyond its natural length (in cm) the spring will be stretched when a force of 50 N is applied, we first need to determine the spring constant of the spring in question. This can be done by measuring the natural length of the spring and then measuring how far it stretches with a known force. Once we have determined the spring constant, we can enter it into the formula above and solve for the extension.
For example, if the natural length of the spring is 15 cm and it extends to 18 cm with a force of 50 N, the spring constant would be 33.33 N/cm.
Using this spring constant, the extension of the spring when a force of 50 N is applied would be 1.50 cm
50/33.33 = 1.50.
Therefore, the spring will stretch beyond its natural length by 1.50 or 1.5 cm when a force of 50 N is applied.
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for which of the following values of p is the value of p(1 - p) maximized?
p(1 - p) value can be a maximum of 0.5. A p-value is nothing but a probability value which is a numerical representation of likelihood.
The likelihood that the null hypothesis is true is represented by the p-value. The possibility that the alternative hypothesis is accurate is (1 - p value). Replicable outcomes are indicated by a low p-value. A large effect or a significant result with significant theoretical, clinical, or practical implications are indicated by a low p-value.
A statistical test employing your data is used to determine the likelihood of your test statistic, which is the result of the test.
A p-value of 0.05 or less (usually 0.05) indicates statistical significance. Strong evidence is presented against the null hypothesis.
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When moving a 100 kg couch, you apply a 55 N force and experience a frictional force or 10 N, what is the couch's
acceleration?
25N
Answer:
0.45 m/s²
Explanation:
Fnet = 55N - 10N = 45N
Force of friction is in opposite direction of the applied force.
a = Fnet/m = 45N/100 kg = 0.45 m/s²
the captain of a plane wishes to proceed due west. the cruising speed of the plane is 246 m/s relative to the air. a weather report indicates that a 35.1-m/s wind is blowing from the south to the north. in what direction, measured with respect to due west, should the pilot head the plane?
The pilot of the plane should move 7.96° due west in order to proceed west direction.
According to the question the relative speed of plane with respect to air is 246 m/s. The speed of the wind is 35.1 m/s and the direction of the wind is from south to north. Now if we consider the velocity of plane with respect to ground as V m/s then in the west direction the components of this velocity will be
V cosθ = 246 m/s .....(1)
V sinθ = 35.1 m/s .....(2)
Dividing equation (2) by equation (1)
tanθ = 35.1/246
tanθ = 0.14
θ = tan⁻1(0.14)
θ = 7.96° which is the required value.
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Find the moment of inertia of a point ma 0. 0005gram at perpendicular ditance 3m from it’ axi of rotation
The moment of inertia of the point is from to be 0.0045 Kg-m².
The moment of inertia of any mass that is situated away from the axis of the rotation is given by other relation,
I = MR²
Where,
M is the mass of the body and R is the distance of the body from the axis rotation.
It is given to as that the mass of the body is 0.05 grams and it is situated perpendicularly at a distance of 3 m from the axis of rotation.
Now, putting all the values to find the value of the moment of inertia,
I = 0.0005×9
I = 0.0045 Kg-m²
So, the moment of inertia the point is found to be 0.0045 Kg-m².
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what is the delta u for a system which has the following two steps: step 1: the system absorbs 60 j of heat while 40 j of work are performed on it
The delta Internal energy u for a system which has the following two steps is zero.
E = q + w
where q = heat and w = work completed
Q is positive when the system absorbs heat.
Q is negative when the system emits heat.
When the mechanism is functioning, w is negative.
The system performs better when work is done on it.
Step 1
E1 = 60 KJ + 40 KJ = 100 KJ.
E2 = (30 KJ + 70 KJ = (-100 KJ)
E1+E2=100KJ+(-100)KJ = 0KJ
Internal energy is the total internal energy of a thermodynamic system. It consists of both internal kinetic and potential energy contributions and is the energy needed to create or prepare the system in its internal state at the time. It keeps track of the system's energy gains and losses as a result of adjustments to its internal condition. [1][2] Both the system's total kinetic energy of motion and any external energies from the surrounding force fields are excluded. The cornerstone of the first law of thermodynamics, the law of conservation of energy, is the notion that the internal energy of an isolated system remains constant. Internal energy has a wide range of facets.
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a force of 20 n causes a spring to stretch 5 cm. what is the spring constant? group of answer choices 1 n/m 20 n/m 400 n/m 2 n/m
A force of 20 n causes a spring to stretch 5 cm. The spring constant is 400 N/m. So the correct option is (c) 400 N/m.
The spring constant is a measure of how much force is required to stretch the spring a certain distance. To calculate the spring constant, we must use the equation F = kx, where F is the applied force, k is the spring constant, and x is the distance the spring is stretched.
In this problem, we are given the applied force (F) of 20 N and the distance the spring is stretched (x) of 5 cm. To solve, we can rearrange the equation to solve for k:
k = F/x
k = 20 N/5 cm
k = 4 N/cm
We can also express this in newtons per meter (N/m) by multiplying by 100 to convert cm to m:
k = 400 N/m
Therefore, the spring constant is 400 N/m.
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four inductors, each having an inductance of 0.6 h, are connected in series. what is the total inductance of the circuit?
A series connection is made between four inductors, each of which has an inductance of 0.6 h. so the circuit's overall inductance is 2.4h.
Since the current change through each coil is the same, the inductance of inductors that are connected in series is computed as the sum of the individual inductances of each coil. L di/dt = V. Accordingly, the individual inductances of each inductor are added to determine the overall inductance of the series connection.
Let the four inductors be L1 = L2= L3= L4 = 0.6h
Given that inductance of each inductor = 0.6h
We are aware that LTotal = L1 + L2 + L3 +... + Ln is the formula for the total inductance of a series.
LTotal = L1+L2+L3+L4 = 0.6+0.6+0.6+0.6 = 2.4h is the total inductance.
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what is the sequence of the anticodon, from the 3\' to 5\' end, of the trna in the a site?
The sequence of the anticodon, from the 3' to 5' end, of the trna in the a site is UGC.
'What is tRNA?'
A unique type of RNA molecule is called a transfer RNA (tRNA). Matching an mRNA codon to the amino acid it codes for is its responsibility. It functions as a sort of molecular "bridge" between the two, if you will.
An anticodon is a group of three nucleotides found in each tRNA. One or more distinct mRNA codons can bind to the anticodon of a particular tRNA. The amino acid encoded by the codons to which the tRNA binds is carried by the tRNA molecule as well.
A cell contains a wide variety of tRNAs, each of which has a unique anticodon and corresponding amino acid. In actuality, depending on the species, there are often 404040 to 606060 various varieties.
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part a a calorimeter consists of an aluminum cup inside of an insulated container. the cup is weighed on a top-loading balance and is found to have a mass of 31.91 g. a reaction is conducted in the calorimeter, raising the temperature from 21.2 c to 26.1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0.903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat for the aluminum cup is 141.19 Joule.
What is specific heat?The amount of heat needed to raise a substance's temperature by one degree Celsius per gram is known as its specific heat. Typically, calories or joules per gram per degree Celsius are used as the units of specific heat.
Given that: mass of the aluminum cup: m = 31.91 g
Initial temperature: t = 21.2° C.
Final temperature: T = 26.1° C.
specific heat of aluminum: s = 0.903 J/g/° C.
Hence, the change in heat for the aluminum cup = ms (T-t)
= 31.91 g × 0.903 J/kg/° C × ( 26.1° C - 21.2° C)
= 141.19 Joule.
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if you quickly run toward the orchestra at a concert, the frequency of the sound you hear will be
As you get closer, the frequency of the sound gets higher. Because the sound waves are compressed relative to you, the frequency increases.
What is the Doppler effect?The Doppler effect can be described as a phenomenon that is observed whenever the source waves are moving w.r.t. an observer. Doppler effect can be defined as the change in the frequency of sound as the source and observer move toward or away from each other.
The Doppler effect can be used to describe when a moving source with respect to an observer, changes in the frequency of any sound produced.
Sound Waves that are emitted by an orchestra traveling toward you get compressed while the waves emitted by an orchestra traveling away from an observer get stretched out.
Therefore, the frequency of the sound of the orchestra gets higher, if you quickly run toward the orchestra.
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Determine the force in member DE of the truss, and state if the member is in tension or compression. Take P = 1745 lb .
The tension or compression of F CD = 3375 lb (G), F HI = 5625 lb (G), F CJ = 6750 lb (G)
Latin roots for the verb "to stretch" give us the word "tension." testing a portion of the force, such as a particular type of pull force. Any two physically connected objects may apply forces to one another. Depending on the kinds of things in contact, this contact forces different names. The force tensions are what we refer to when one of the items applying the force is a rope, string, chain, or cable. The force that results from compressing a material or object is called the compression force. Compression forces are the result of shearing forces aligning into one another. From hand tools to compression brakes, the compression force is employed to power everything. An essential engineering aspect is the compressive strength of materials and structures.
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The complete question:
Determine the force in members CD of the truss, and state if the member is in tension or compression. Take P = 1570lb. Determine the force in members HI of the truss, and state if the member is in tension or compression. Take P = 1570lb . Determine the force in members CJ of the truss, and state if the member is in tension or compression. Take P = 1570lb .
suppose our sun suddenly becomes a black hole (a very hypothetical situation, and our sun will not end its life as black hole :)). what would happen to the planets? group of answer choices
Suppose our sun suddenly becomes a black hole (a very hypothetical situation, and our sun will not end its life as black hole). Planets would also mugged up by the gravitational pull of black hole i.e. sun black hole.
A black hole is an area of spacetime where gravity is so intense that no electromagnetic wave, not even light, has the energy to escape. According to general relativity theory, a compact enough mass can bend spacetime into a black hole. The event horizon is the line beyond which there is no escape. Despite having a significant impact on the outcome and circumstances of an object traversing it, general relativity states that it lacks any locally observable characteristics. A black hole behaves in many ways like a perfect black body since it does not reflect light. Furthermore, event horizons are expected to release Hawking radiation according to the quantum field theory in curved spacetime. When large stars end their lives and collapse, black holes of stellar mass are created. A black hole can expand by absorbing mass from its surroundings after it has created. It is possible for supermassive black holes to absorb additional stars and merge with other black holes to produce masses of millions of solar masses (M). Most galaxies' centers are believed to contain supermassive black holes. Through its interactions with other stuff and electromagnetic radiation like visible light, black holes can be detected.
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a boat in the trough of a wave takes 3 s to reach the highest point of the wave. the velocity of the wave is 5 m/s. what is its wavelength?
Answer: A boat in the trough of a wave takes 3 seconds to reach the highest peak of the wave, then its wavelength will be equal to 30 m.
Explanation:
The wavelength of the wave is 15 m.
The wavelength of a wave is the distance between two consecutive crests or troughs. The velocity of a wave is the speed at which it travels. The time it takes for a boat to travel from the trough of a wave to the highest point of the wave is the same as the time it takes for the wave to travel one wavelength.
In this case, the velocity of the wave is 5 m/s and the time it takes for the boat to travel from the trough of the wave to the highest point is 3 s.
wavelength = velocity * time
wavelength = 5 m/s * 3 s = 15 m
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stone is dropped from the edge of a roof, and hits the ground with a velocity of -165 feet per second. how high (in feet) is the roof?
Stone is dropped from the edge of a roof, and hits the ground with a velocity of -165 feet per second. 165 feet high is the roof.
Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system). In contrast to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar. In order to stress the difference between the instantaneous velocity and average velocity, velocity is defined as the rate of change of location with regard to time. The average velocity of an object, or the constant velocity that would produce the same resultant displacement as a variable velocity in the same time interval, v(t), over some time period t, may be required in various applications.
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how is momentum related to the pressure exerted by a gas? explain on the molecular level, considering the behavior of molecules.
The momentum is p = m v . You can see from the equation that momentum is at once proportional to the object's mass (m) and velocity (v).
Therefore, the extra an object's mass or the extra its velocity, the extra its momentum.From equation (1), whilst the common velocity of the fueloline is increased, the momentum of the fueloline will growth too.
This will make the stress exerted via way of means of the fueloline will increase too. And, whilst the quantity of the molecules is increased, this could growth the full mass of the fueloline and the momentum of the fueloline will growth too.
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an ultrasound system is set at 0 db and is transmitting at full intensity. what is the output power when the system is transmitting at 50% of full intensity?
the output power when the system is transmitting at 50% of full intensity -3dB .
In telecommunications, transmission is the act of transmitting or relaying analog or digital signals over wired, wireless, or fiber optic media. [1][2]
Transmission techniques are usually associated with physical layer protocol tasks such as modulation, demodulation, line coding, equalization, error control, bit synchronization and multiplexing, but also include higher layer protocol tasks. There are cases. B. Digitization and data compression of analog signals.
The transmission of digital messages or digitized analog signals is called data transmission.
An example of a transmission is the transmission of a signal of limited duration. Blocks or packets of data, phone calls, or emails
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air flows through this tube at a rate of 1100 cm3/s . assume that air is an ideal fluid.
The height h=0.369cm of mercury in the right side of the U-tube.
As per the data given in the above question are as bellow,
Air flows through this tube at a rate of [tex]1100 cm^3/s[/tex]
Air is an ideal fluid.
Use the bernouli's equation, we get
[tex]p_1+\frac{1}{2} \rho v_1^2 & =p_2+\frac{1}{2} \rho v_2^2 \\p_1-p_2 & =\frac{1}{2} \rho\left(v_1^2-v_2^2\right)[/tex]
Use the continuity equation:
[tex]A_1 v_1 & =A_2 v_2 \\v_1 & =\frac{A_2 v_2}{A_1} \\& =\frac{A_2 v_2}{\pi\left(\frac{r_1}{2}\right)^2}[/tex]
That the rate of in the tube is
[tex]A_1 v_1=A_2 v_2=1100 \mathrm{~cm}^3 / \mathrm{s}[/tex]
Substitute the numerical value in the above equation we get
[tex]v_1 & =\frac{1100 \mathrm{~cm}^3 / \mathrm{s}}{\pi\left(\frac{2.0 \mathrm{~cm}}{2}\right)^2} \\& =350.14 \mathrm{~cm} / \mathrm{s} \\& =3.50 \mathrm{~m} / \mathrm{s}[/tex]
Similarly,
[tex]v_2 & =\frac{A_1 v_1}{A_2} \\& =\frac{1100 \mathrm{~cm}^3 / \mathrm{s}}{\pi\left(\frac{4.0 \mathrm{~mm}}{2}\right)^2} \\& =\frac{1100 \mathrm{~cm}^3 / \mathrm{s}}{\pi(0.2 \mathrm{~cm})^2} \\& =8753.5 \mathrm{~cm} / \mathrm{s} \\& =87.5 \mathrm{~m} / \mathrm{s}[/tex]
The pressure difference in the u shaped tube is
[tex]p_1-p_2=\rho^{\prime} g h[/tex]
Here, [tex]$\rho^{\prime}$[/tex] is the density of mercury.
From the above equation we get
[tex]h & =\frac{p_1-p_2}{\rho^{\prime} g} \\& =\frac{\frac{1}{2} \rho\left(v_1^2-v_2^2\right)}{\rho^{\prime} g} \quad\left(\text { Since } p_1-p_2=\frac{1}{2} \rho\left(v_1^2-v_2^2\right)\right)[/tex]
Substitute the numerical values in the above equation we get
[tex]h & =\frac{\frac{1}{2} \rho\left(v_1^2-v_2^2\right)}{\rho^{\prime} g} \\& =\frac{\frac{1}{2}\left(1.29 \mathrm{~kg} / \mathrm{m}^3\right)\left((87.5 \mathrm{~m} / \mathrm{s})^2-(3.50 \mathrm{~m} / \mathrm{s})^2\right)}{\left(13.6 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\right)\left(9.8 \mathrm{~m} / \mathrm{s}^2\right)} \\& =0.0369 \mathrm{~m} \\& =0.0369 \mathrm{~m}\left(\frac{1 \mathrm{~cm}}{10^{-2} \mathrm{~m}}\right) \\[/tex]
=0.369cm
Height is 0.369cm
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Note:- The correct question could be as follow,
Air flows through this tube at a rate of 1100 cm3/s . assume that air is an ideal fluid.
What is the height h of mercury in the right side of the U-tube?
Energy from the sun sets in motion extraordinary interactions between the atmosphere,
organisms and minerals,
energy from the earth's core profoundly affects the
shape of the ground we walk on.
A Consequently
B Meanwhile
C In conclusion
D For example
Energy from the sun sets in motion extraordinary interactions between the atmosphere, In option C In conclusion, organisms and minerals, energy from the earth's core profoundly affects the shape of the ground we walk on.
Why choose option C?C In conclusion is the best option to use in this sentence. This is because the sentence presents a summary or conclusion of the information that has been presented in the paragraph or passage. The phrase "In conclusion" signals to the reader that the author is wrapping up their thoughts on the topic and is a common way to signal the end of a presentation or discussion.
Option A "Consequently" could also be a good choice if the preceding information discussed the consequences or results of the interactions between the atmosphere, organisms, minerals, and energy from the earth's core.
Option B "Meanwhile" would not be a good choice because it suggests that there is some kind of parallel or contrasting action occurring at the same time, which is not the case in this sentence.
Lastly, Option D "For example" would not be a good choice because it introduces an example to illustrate a point, but the sentence does not present an example.
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what happens to a moving object here on earth that keeps it's kinetic energy less than potential energy?
Answer:
If a moving object on Earth has less kinetic energy than potential energy, it means that its speed is not enough to overcome the force of gravity.As a result, the object will slow down and eventually come to a stop.If it is moving uphill, it will roll back down, and if it is moving horizontally, it will eventually come to a halt due to friction with the ground.In either case, the object will eventually reach a state where its kinetic energy is equal to its potential energy, at which point it will stop moving.