The final velocity of the airplane is 70 m/s.
Velocity is the directional velocity of an object in movement as a demonstration of its price of exchange in function as found from a specific body of reference and as measured by using a specific well-known time.
Speed is the time fee at which an item is shifting along a direction, at the same time as velocity is the rate and route of an object's movement. placed any other way, speed is a scalar cost, whilst pace is a vector.
Speed is the velocity at which something moves in a selected course. for example as the velocity of a car traveling north on a highway, or the velocity at a rocket travels after launching. In the scalar manner, the absolute price value of the rate vector is continually the velocity of the motion.
Calculation:-
v = u + at
= 0 + 5 × 14
= 70 m/s
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How an electric car might still run on fossil fuel
Answer:
Below
Explanation:
Incredible amounts of fossil fuels are used to mine for materials, buil and transport electric vehicles
Electric vehicles use electricity to charge their batteries. Most electricity is generated using fossil fuels such as natural gas and coal .
a parallel plate capacitor has a cross-sectional area of 25.8 x 31.1 mm and a plate separation of 0.19 mm. what is the dc capacitance, in pf, if the material inserted in between the plates has a dielectric constant of 3.8 ? (answer format x.x)
The dc capacitance is 1420.84.
What exactly is DC capacitance?The way a capacitor behaves in a DC circuit
An uncharged capacitor has zero voltage in terms of DC voltage, which is the same as a short circuit. When the capacitor is fully charged, the circuit has no current flowing. An open circuit is therefore what a fully charged capacitor appears to dc to be.
Parallel plate capacitor ,
Area= (25.8 X 31.1) mm²
plate separation = d= 0.19 mm.
Er = dielectric constant = 3.8
Converting all the values in SI unit meter.
Area = 25.8 x 31.1/(10⁻³)²
Area = 802.38/10⁻⁶
Area = A= 0.0080238 m².
Now, d = 0.19mm =0.00019m
Er = 3.8
for parallel plate capacitor, the capacitance is given by
C = E₀ErA/d , where E = 8.85×10⁻¹²F/m.
C = 8.854 x 10⁻¹²X3.8X 0.0080238/0.00019
C =0.26996x 10⁻¹²/0.00019
C =1420.84x 10⁻¹²(10⁻¹² represent Pico and unit of capacitance is farad).
C = 1420.84
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a 71 kg student weighs himself by standing on a scale mounted on a skateboard that is rolling down an incline, as shown. assume there is no friction so that the force exerted by
Answer:
The student would definitely weigh lower than 71 kg when the student rolls down the incline on their skateboard. This is because as he goes down, there will be air pushing against him, and though it isn't enough to fully lift him, the air pressure is enough to decrease the student's original weight. It mainly depends on how steep the incline is; if the incline is just enough to get him going, then the bar will show just a bit less than 71 kg after a while. However, if the student goes down a much steeper incline, say something like just a bit further out than a wall at 90 degrees, then the student will most probably have a much less weight than 71 kg.
Kinda long, but hope it helps.
a 150kg monkey hangs from a cord suspended from the ceiling of an elevator. the cord can withstand a tension of 200N and breaks as the elevator accelerates. what was the elevators minimum acceleration (in magnitude and direction,
Answer:
The elevator moves up with an acceleration of 3.5 m/s²
Explanation:
Given:
m = 15 kg (not 150!! :))
Tmax = 200 N
g = 9.8 m/s²
____________
a - ?
The elevator moves up with an acceleration a:
Tmax = m·(g + a)
g + a = Tmax / m
a = Tmax / m - g
a = 200 / 15 - 9.8 ≈ 3.5 m/s²
One uranium atom has a diameter of 3. 5×10−8 centimeters. What is the sum of 1,000,000 uranium atoms’ diameters, in centimeters, written in standard notation?.
Sum of 1,000,000 uranium atom's diameters in centimeters written in standard notation would be 0.0035 cm.
Adding a number 1,000,000 times is same as Multiplying that number with 1,0000,000. So multiplying the diameter of one atom with 1,000,000 would give the same result as adding the number 1,000,000 times would give.
Diameter = 3.5 × [tex]10^{-8}[/tex]
= 3.5 ×[tex]10^{-8}[/tex] × [tex]10^{6}[/tex]
= 3.5 × [tex]10^{-8+6}[/tex] = 3.5 × [tex]10^{-2}[/tex]
answer ≈ 0.0035 cm.
What is uranium -
Chemical element uranium has the atomic number 92 and the letter U. It is an actinide metal in the periodic table's silvery-gray series. Because all uranium isotopes are unstable and their half-lives are short, uranium has a low radioactivity.
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a screen is placed 37 cm from a single slit which is illuminated with 564 nm light. if the distance from the central maximum to the first minimum of the diffraction pattern is 2.7 mm, how wide is the slit in micrometer?
The width is 1.55650 μm.
What kind of diffraction pattern is it?A parallel electron beam is focused on the sample in the same manner as in imaging mode to produce diffraction patterns. The beam width transmitted is controlled by a chosen area aperture, and the intermediate lens concentrates the diffraction pattern onto the screen.
Given data:
separating the single slit from the screen = L = 37cm
λ = 564 nm
distance between the first minimum and the central maximum = Z = 2.7mm
We are aware that the destructive diffraction angle is:
θ = pλ/a
where p is the minimum's order, p = 1 for the first minimum, and a is the slit's width, we get the following:
θ = (564nm/a)
We also know that a triangle rectangle can be created, with the distance between the slit and the screen serving as the adjacent cathetus to this angle and the distance between the first maximum and the first minimum serving as the opposite cathetus:
Tg(θ) = Z/L
Tan(564nm/a) = 2.7/37
The same units must first be used on the right side:
2.7mm = 0.27cm
Tg(636nm/a) = 0.27cm/43cm
636nm/a = Atg( 0.27cm/43cm ) = 0.406
a = 636nm/0.406 = 1,556.50nm
1 μm = 1000nm
then:
a = 1,556.50 nm = (1,556.50/1000) μm = 1.55650 μm
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identify the component that converts direct current (dc) into the alternating current required to power the electric motors.
A component that converts direct current (dc) into alternating current (ac) is an inverter.
The electrical current in direct current (DC) only flows in one direction. The electrical current in alternating current (AC) can flow in both ways. The electrons in AC can switches back and forth at some intervals. The inverter is a device that can offer precise variable control of the speed of a motor and it changes the direct current (DC) to alternating current (AC).
The inverter has a part that is like an electronic circuit that regulated voltages to work, so we can convert DC to AC, and we can change back into DC again.
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Two tream merge to form a river. One tream ha a width of 8. 2 m, depth of 3. 4 m,
and current peed of 2. 3 m/. The other tream i 6. 8 m wide and 3. 2 m deep, and flow at
2. 6 m/. If the river ha width 10. 5 m and peed 2. 9 m/, what i it depth?
The depth is 3.96 m. The depth of a lake or pond is the distance from something's top to its bottom or to a point farther below the surface of anything.
Real Depth refers to an object's actual depth below the surface, as determined by submerging a perfect ruler alongside it. The depth of an object in a denser medium as seen from a rarer medium is known as the apparent depth in that medium. Its value is smaller than the real depth. Apparent depth is the perception of depth in a picture formed by a combination of the range of wavelengths visible to the human eye and the physical qualities of light.
AV= A1V1+ A2V2
= 8.2*3.4*2.3+ 6.8*3.28*2.6
=3.96 m.
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1. When was the Apollo mission considered a success?
Answer:
Apollo achieved the first crewed lunar landing on the Apollo 11 mission, when Neil Armstrong and Buzz Aldrin landed their LM Eagle in the Sea of Tranquility and walked on the lunar surface, while Michael Collins remained in lunar orbit in the CSM Columbia, and all three landed safely on Earth on July 24, 1969.
Explanation:
because i looked up online
if the actual thermal efficiency of the plant is 60% of the maximum, at what rate must heat be discarded to the rive
If the actual thermal efficiency of the plant is 60% of the maximum is Heat capacity of water is 4.2 kJ/kgK so the temperature rise is 2.53 K
The maximum efficiency is that of Carnot engine. Let's suppose the
power plant is Carnot engine, so
n=1 -Tc/Th
=1-293.15/588.15
=0.5
(b) The actual efficiency is 60% of the maximum so
n = 0.6 . 0.5
= 0.3
Heat capacity of water is 4.2 kJ/kgK so the temperature rise is
ΔT= 1750 . 10³ kJ/s / 165 . 10³ kg/s . 4.2 kJ/kgK
ΔT =2.53 K
In thermodynamics, a device's thermal efficiency is a dimensionless performance metric. Examples of such devices include internal combustion engines, steam turbines, steam engines, boilers, furnaces, refrigerators, and air conditioners. A system's thermal efficiency is determined by how much work is produced for every unit of heat input. Work is produced by heat engines. The percentage of heat that is converted into useful work is expressed by thermal efficiency. The carbon footprint of a building is significantly decreased by an envelope that is thermally efficient.
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Which of the following changes would cause the fusion rate in the sun’s core to increase?
a. An increase in the core temperature
b. A decrease in the core radius
The changes that would cause the fusion rate in the sun’s core to increase are:
a.) An increase in the core temperature and
b)A decrease in the core radius
So, correct options are a and b.
The sun is the Main Sequence star. A Main Sequence star is powered by fusing hydrogen into the Helium within its core.
For this type of fusion to take place, a temperature of at least 10 million Kelvin is required, beyond the given point, the fusion rate is actually directly related to the core temperature. If temperature increases, the fusion rate will greatly increase.
Something similar happens if core reduces its radius. This can happen at the end of the star's lifetime, shortly before it becomes the red giant. Once hydrogen is depleted, the core will start to shrink because the force of gravity, and as it gets smaller, gets very more compressed, and its temperature increases
Hence, both a and b options are correct.
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To an observer on earth, the sun appears brighter than the star rigel because the sun is.
To an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
Distance between the Sun and Earth = 147.85 millions km
Distance between the star Rigel and Earth = 864.3 light years
1 light year = 9.46 * [tex]10^{12}[/tex] km
864.3 light years = 9.46 * 864.3 * [tex]10^{12}[/tex] km
864.3 light years = 8176.278 * [tex]10^{12}[/tex] km
864.3 light years = 817.63 * [tex]10^{7}[/tex] million km > 147.85 millions km
Clearly the distance between the Sun and Earth is way lesser than the distance between the star Rigel and Earth. Larger the distance smaller the size it will appear and lesser the light that can be seen.
Therefore, to an observer on earth, the sun appears brighter than the star Rigel because the sun is closer than Rigel.
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radiation dosages based on potential damage is in group of answer choices a. rads. b. joules. c. rems. d. none of the above
Using the theories of radiation dosages, we got that radiation dosages based on potential damage is in c)rems.
A dose of medical radiation is not like the dose of medicine. When it comes to the radiation dose, there are different types of and units of measurement.
When we think of the dose of the medication, we think of an absolute measurement of the quantity which we take. But radiation isn't measured by the quantity we take.
Radiation from the medical examinations is similar to sunlight. The effect of the sunlight on the skin depends on the light's intensity and how long a person stays in it.
Sunlight Effecting Factors are:
IntensityLength of exposureSensitivity of the skinHence, radiation dosages based on potential damage is in c)rems
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when two parallel lines are cut by a , then eight angles are formed around the transversal. there are actually only two different angle measures formed; four angles measure congruent, (greater than 90 degrees) and the other four angles measure acute, unless the transversal is perpendicular forming eight angles. we also have angle pairs that are formed. angles f and g are called angles and are congruent. angles a and e are called angles and are congruent. angles c and f are called alternate interior angles and are congruent. angles c and e are called same side interior and are . angles f and h are also supplementary because they make a angle.
When two parallel lines are cut by a , then eight angles are formed around the transversal.
What is angle?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.
Types of angle:
Acute Angles.
Obtuse Angles.
Right Angles.
Straight Angles.
Reflex Angles.
Full Rotation
When two parallel lines are cut by a , then eight angles are formed around the transversal.
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if the satellite has a mass of 3000 kg , a radius of 4.2 m , and the rockets each add a mass of 230 kg , what is the required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest?
The required steady force of each rocket if the satellite is to reach 32 rpm in 5.5 min , starting from rest is 12.92N
[tex]\alpha = \frac{{{\omega _{\rm{f}}} - {\omega _{\rm{i}}}}}{t}[/tex]
=0.005
[tex]{I_{{\rm{total}}}} = {I_{{\rm{cylinder}}}} + {I_{{\rm{rockets}}}}[/tex]
[tex]{I_{{\rm{rockets}}}} = 4{m_r}{r^2}[/tex]=43470 kg.m²
[tex]\tau = {I_{{\rm{total}}}}\alpha[/tex]=217.3 m
[tex]{\tau _{\rm{i}}} = \frac{\tau }{4}[/tex]=54.3 N.m
[tex]{F_{\rm{i}}} = \frac{{{\tau _{\rm{i}}}}}{r}[/tex]=12.92N
The moment of inertia of the body depends on the distribution of mass along its axis and when the rockets are placed with the uniform cylinder, the moment of inertia gets added up to the moment of inertia of the uniform cylinder.The equations of motion for the rotating body determine the angular acceleration, which is dependent upon the initial and final angular velocity and the time taken by the body to reach the final state from its initial position.The total moment of inertia of the rotating body depends upon both the mass of the cylinder and the rockets.The total torque applied to the rotting body is due to the moment of force done by the four rockets, and the same torque is balanced to formulate equations to derive the force exerted by each rocket.
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What is one idea why a relatively dense protogalactic cloud more likely to produce an elliptical galaxy than a spiral galaxy?.
The higher gas density forms stars more efficiently, so all the gas is converted into stars before a disk can form.
What is density ?Density is a measure of how much "stuff" is in a given space. For example, a block of the heavy element lead (Pb) is denser than the softer, lighter element gold (Au). Styrofoam blocks are less dense than bricks. Defined as mass per unit volume. Object density is one of the most important and easily measured physical properties. Density is commonly used to identify pure substances and to characterize and estimate the composition of various types of mixtures.The density of an object or substance can be calculated from the formula: Density in kilograms per cubic meter equals mass in kilograms divided by volume in cubic meters (p = m/v).To learn more about density from the given link :
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A 5.0 kg object is being acted on by a 20 N force to the right (F1), and a 30 N force,
also to the right (F2).
What is the net force acting on the object?
50 N is the total force exerting on the object.
How can I determine what force is at work on an object?What's the equation for force? Newton's second law of motion defines the force formula as follows: A force is equal to an object's mass times its acceleration, or F = m a. You must use SI units when applying this formula, which calls for Newton's for force, kilograms for mass, and meters per second squared for acceleration.
What is the force law formula?The fundamental equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to that body's mass m times its center of mass's acceleration a, or F = ma.
Net force = F1 + F2 ( Because F2 force is also right )
Net force = 20N +30N = 50N
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A woman is pushing a 100Kg couch across her room. Her arms are angled down at 25 degrees
from the horizontal as she applies a 70N force. What is the normal force applied to the couch?
The normal force applied to the couch is 70.42N
Given,
Mass(m)- 100kg
Force(f)- 70N
Angle(a)- 25 degrees
We know,
Acceleration(n): force/mass
so, n = 70/100
= 0.7
now,
Normal Force = mn + sin a
so,
= 0.7*100 + 0.42
= 70 +0.42
70.42N
What is mass?
The amount of matter in a particle or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).What is force?
The term "force" has a specific meaning in science. At this level, calling a force a push or a pull is quite appropriate. A force is not something an item "has in it" or that it "contains." One thing experiences a force from another. There is no distinction between living and non-living entities in the concept of a force.To know more about force, checkout this link.
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rosa suggests a source of error: some of the energy from the heating coil is lost because the insulation of the container is not perfect. what type of error will this cause? that is, will the experimental values for specific heat be higher or lower than the actual values? explain your reasoning.
The experimental values for specific heat will be higher than the actual values.
What is specific heat?
The specific heat capacity, or massic heat capacity, of a substance, is calculated using thermodynamics as the heat capacity of a sample of the substance divided by the mass of the sample.
1) The error would be a systematic error i.e., error due to instruments.
And the specific value would be lower than the actual since some heat is lost in the process.
2) By adding the mass of the container, the experiment would have a blunder error i.e., the mistake error or the human error.
The experimental value would then come as lower, since the extra mass in the calculation will give rise to more mass and which would require more heat. But since, the heat is the same, so the calculated value would come lower.
3) by adding salt in it, the specific heat would come lower.
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a square coil, enclosing an area with sides 6.4 cm long, is wrapped with 3,038 turns of wire. a uniform magnetic field perpendicular to its plane is turned on and increases to 0.47 t during an interval of 1.2 s. what is the magnitude of the induced voltage in the coil?
The induced voltage in the coil is 0.25 V.
What is voltage?Voltage is the pressure from the power source in an electrical circuit that forces charged electrons (current) through conducting coil , causing the electrical circuit, etc. to do work. Let the light shine. An example of a DC voltage is the potential difference across the terminals of an electrochemical cell. AC voltage is present across the terminals of a typical power outlet. Voltages create electrostatic fields even when charge carriers are not moving. A volt is a unit of potential difference, which is also called voltage. A magnitude of 1 volt is officially defined as the potential difference between two points on a cable that will carry 1 ampere of current when 1 watt of power is dissipated in the cable.To learn more about voltage from the given link :
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A driver takes her car to the market 40m in one direction then after shopping, she drives the car back to her house 40m in the opposite direction. What is the total displacement?
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
What is motion?The phenomenon of an item changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, and acceleration are used to explain motion.
Displacement is change in distance between two points.
Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.
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there are two reasonable approximations to consider for the pencil in this problem: a cylinder and a thin rod. however, in this problem we will treat the pencil as a uniform thin rod of length 15.0 cmcm and mass 10.0 gg .
The axis of rotation of the pencil passes through point B.
Draw the free-body diagram of the pencil which touches the surface at point B. The normal force from the surface acts on the pencil at point B. The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, which is at point C. There is a friction force that opposes the motion of the pencil on the surface.
Since the pencil touches the surface at point B, the weight of the pencil produces torque and makes the pencil rotate about point B, and this is the point through which the axis of rotation for the pencil passes.
The weight of the pencil acts in a vertically downward direction at the center of mass of the pencil, that is, at point C. Since, the pencil touches the surface at point B, the force due to the weight of the pencil produces torque and makes the pencil rotate about point B.
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(a) calculate the self-inductance of a 54.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mh (b) how fast can it be turned off if the induced emf cannot exceed 3.00 v and a current of 22.0 a flows through this inductor? s
Self-inductance is 23.4 mH 0.145 seconds it is turned off it be turned off if the induced EMF cannot exceed 3.00 v and a current of 22.0 a flows through this inductor.
What is Self-inductance?As the current in the coil changes, the magnetic flux associated with the coil also changes, thus inducing an electromotive force in the coil. This phenomenon is referred to as self-induction. Self-induction of a coil is a property due to its tendency to maintain a magnetic flux associated with it and to counteract changes in magnetic flux by inducing current. This property of coils is similar to mechanical inertia. That is why self-induction is called electric inertia. The self-inductance of a coil is numerically equal to the amount of magnetic flux associated with the coil when a unit current flows through it. The SI unit for self-inductance is the henry (H) or weber per ampere. 1H = 1Wb/A.to learn more about Self-inductance from the given link :
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in the united states , the energy sourced used predominantly for the production of electricity is .
Coal, natural gas, petroleum, and other fossil fuels made up about 61% of the electricity produced in this country. Nuclear energy made up over 19% of the total energy, while renewable energy made up about 20%.
Decomposing plants and animals are used to create fossil fuels. These fuels, which are located in the crust of the Earth, contain hydrogen and carbon that can be burned to produce energy. Examples of fossil fuels include coal, oil, and natural gas. The term "fossil fuel" refers to a hydrocarbon-containing substance that is naturally formed in the Earth's crust from the remains of extinct plants and animals and is extracted and burned as fuel. Natural gas, crude oil, and coal are the principal fossil fuels. We rely on those fuels to heat our homes, power our cars, run manufacturing and industrial processes, and give us electricity. To produce electricity, we burn, or combust, fossil fuels. The process of burning material to produce electrical energy is known as thermal generation. Combustion itself does not result in the production of electricity. Large water boilers are heated by the burning of coal or oil.
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a spaceship leaves earth traveling at 0.61c. a second spaceship leaves the first at a speed of 0.87c with respect to the first. calculate the speed of the second ship with respect to the earth if it is fired directly toward the earth
To find the speed of the spaceship using, speeds formula to calculate its.
What is speed?
The distance traveled in a unit of time is referred to as "speed." It is the rate of movement of an object. Speed is a scalar quantity, as is the velocity vector's magnitude. There is no clear direction to it. An object is moving more quickly if its speed is higher.
What is velocity?
A particle's or object's displacement with respect to time is expressed vectorially as velocity. The meter per second (m/s), also referred to as speed, is the accepted unit of velocity magnitude.
a) In the reference frame of the Earth, the first spaceship is moving at +0.61 c, and the second spaceship is moving at +0.87c relative to the Earth is relative to the first. Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+0.87c)/(1+(0.61)(0.87))=0.967c
b) In the reference frame of the Earth, the first spaceship is moving at +0.61c and the second
spaceship is moving at -0.87 c relative to the first Thus the speed of the second spaceship relative to the Earth is
U =(v+u¹)/(1+vu¹/c^2)=(0.61c+(-0.87c))/(1+(0.61)(-0.87))= -0.554c
Therefore, the speed of the second ship with respect to the earth is 0.967c and the speed of the second ship with respect to the earth if it is fired directly toward the earth is - 0.554c
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If the pressure of a gas is tripled and the absolute temperature of the gas is quadrupled, by what factor will the volume of the gas change?.
The volume of the gas change by a factor 4/3.
An ideal gas is a theoretical gas composed of many randomly transferring factor particles that aren't difficult to interparticle interactions. the best gasoline idea is beneficial because it obeys the precise gas law, a simplified equation of country, and is amenable to evaluation under statistical mechanics.
Calculation:-
From the ideal gas equation
PV = nRT
V = nRT/P
where n and R are constant
new changes
P' = 3P
T' = 4T
V = nR4T/3P
Hence, the volume changed by a factor of 4/3.
Volume is a degree of occupied three-dimensional space. it's far more frequently quantified numerically the usage of SI-derived gadgets or by way of diverse imperial gadgets. The definition of length is interrelated with the extent.
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the disk swings left-and-right on the pivot about the equilibrium position directly below the pivot point a. calculate the period of small oscillations of the disk. use a small angle approximation.
The period of small oscillations of the disk is 2π√L∕g
What is simple harmonic oscillation?Simple harmonic motion can be described as oscillatory motion in which the acceleration of a particle at each position is directly proportional to its displacement from its mean position. This is a distinct case of oscillatory motion. You can represent SHM with a single harmonic sine or cosine function.
For small-angle oscillations, the approximation sinθ≈θ applies, which is a linear differential equation similar to that for simple harmonic oscillators. In this regime the pendulum swings in one period.
T₀ = 2π√L∕g
Where, T₀ = Period of small oscillations
L = length of the string to which the disc is attached to
g = gravitational acceleration.
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Zn + HCl →ZnCl2 + _____H₂
type of reaction, and what is it balanced??
Answer:
Explanation:
Zn + 2 HCl → ZnCl₂ + H₂
The interaction of metals with acids refers to the substitution reaction
[tex]{ \green{ \boxed{ \red{ \sf{ \underline{Chemical \: displacement \: reaction}}}}}}[/tex]
The reaction between zinc and hydrochloric acid gives zinc chloride and liberates hydrogen gas.
The balanced chemical equation is as below.
[tex]{ \purple{ \sf{Zn + 2HCl{ \to}Zn Cl_{2} + H _{2}↑}}}[/tex]
A string is wrapped around a pulley with a radius of 2. 0 cm. The pulley is initially at rest. A constant force of 50 n is applied to the string, causing the pulley to rotate and the string to unwind. If the string unwinds 1. 2 m in 4. 9 s, what is the moment of inertia of the pulley?.
The moment of inertia of the pulley if a string is wrapped around a pulley with a radius of 2.0 cm and a constant force of 50 N is applied to the string is 0.2 kg m²
s = ut + 1 / 2 at²
u = 0
s = 1.2 m
t = 4.9 s
1.2 = 0 + 1 / 2 * a * 4.9²
1.2 = 12.01 a
a = 0.0999 m / s²
a = r α
a = Tangential Acceleration
α = Angular Acceleration
r = 2 cm = 0.02 m
α = a / r
α = 0.0999 / 0.02
α = 4.995 rad / s²
I = τ / α
τ = r F
I = Moment of inertia
τ = Torque
F = Force
F = 50 N
τ = 0.02 * 50
τ = 1 N m
I = 1 / 4.995
I = 0.2 kg m²
Therefore, the moment of inertia of the pulley is 0.2 kg m²
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A car travels forward with constant velocity. It goes over a small stone, which gets stuck in the groove of a tire. The initial acceleration of the stone, as it leaves the surface of the road, is.
The initial acceleration of the stone is an option (A) vertically upward .
The reason that the tire is rotating with a uniform angular speed and moving with a constant linear pace, is so that as soon as a small stone is caught into the groove of the tire the velocity of the stone is the same as that of the tire.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
αc = ω²R
The direction of net acceleration is towards its center. Hence answer is option A.
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Disclaimer:- your question is incomplete, please see below for the complete question.
(A) vertically upward
(B) horizontally forward
(C) horizontally backward
(D) zero
(E) upward and forward, at approximately 45° to the horizontal