Find the magnitude of the acceleration acm of the center of mass of the spherical shell. Take the free-fall acceleration to be g = 9. 80 m/s2.
Answers
The magnitude of the acceleration of the spherical shell with mass 2.25kg rolls down a slope with 38.0 degrees angle is 36.2m/s².
Please refer to the picture attached bellow for better understanding.
From the case we know that:
m = 2.25kg
θ = 38°
I spherical shell = 2/3MR²
We know that based on the Second Law of Newton, the spherical shell will be move along with the slope axis. Hence:
∑F = m.a
Wy - f = m.a
m.g.sinθ - f = m.a ... (i)
We also know that the friction force causes the spherical shell to rotate while falling down the slope. We use the torque concept:
τ = Iα
f.R = Iα
fR = 2/3MR²(a/R)
f = 2/3ma ... (ii)
We will subtitute the equation (ii) into equation (i) to find the value of the magnitude of the acceleration (a):
m.g.sinθ - f = m.a
m.g.sinθ - 2/3m.a = m.a
m.g.sinθ = 5/3m.a
a = 3/5 g.sinθ
a = 36.2 m/s²
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Complete Question:
A hollow spherical shell with mass 2.25kg rolls without slipping down a slope that makes an angle of 38.0 degrees with the horizontal.
Find the magnitude of the acceleration of the center of mass of the spherical shell. Take the free fall acceleration to be g = 9.80m/s²
Related Questions
a magnetic field near the ceiling points down and is increasing. looking up at the ceiling, does the non-coulomb electric field curl clockwise or counter-clockwise?
Answers
The Non-coulomb electric field curls will be counterclockwise
Electric field can be defined as force per unit charge.
Non columbic field formula is
Fnc = qEnc
It is created by a change in magnetic field.
when the magnetic field near the ceiling point is increasing, the non coulomb force will curl counterclockwise by applying right hand thumb rule.
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When forces are not in equilibrium (unbalanced) the object's can be described as __________.
Answers
Answer: Unbalanced forces
Explanation: When the forces acting on an object are unbalanced, they do not cancel out one another
Jack is testing how sound travels. Damon stood on the opposite side of the room and whispered a sentence to him. Then, jack held a balloon to his own ear as damon whispered the sentence to him again. Jack heard the sentence better the second time. How did the balloon affect the sound of damon's whisper?.
Answers
Answer:
Sound travels better through the compact molecules of air inside the balloon than the less compact molecules on the outside.
Explanation:
Currently failing the class
Distinguish between vector and scalar quantities providing examples of each
Answers
Answer:
Distinguish between vector and scalar quantities providing examples of each
Explanation:
Find the binding energy of carbon-12 per nucleon. The mass of a proton is 1.007276 u, of a neutron 1.008665 u, and of carbon 11.996706 u.
Answers
The biding energy of carbon-12 per nucleon is 5.34 MeV.
What practical applications exist for carbon-12?
Given that it serves as the reference point for calculating the atomic masses of all other nuclides, carbon-12 is particularly significant by definition, it has an atomic mass of carbon 12.
Where can you find carbon-12?
Numerous naturally occurring substances, including rocks like limestone, coral, as well as the shells or animals like clams, contain carbon-12.Coal and petroleum, two significant fuels, both contain carbon.
Binding energy of C-13 - BE of C-12
= (7.5 * 13 ) - (7.68 * 12)
= 97.5 - 92.16
= 5.34 MeV.
Therefore, the binding energy of carbon-12 per nucleon is 5.34 MeV.
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What is the internal energy of a system including the kinetic and potential energy of its particles?
Answers
Internal energy of a system is the product of specific heat and temperature included with number of moles. (i=nCT) and kinetic energy is product of Boltzmann constant and temperature.
All systems have a certain amount of energy that can be converted into other energy to do work. The kinetic energy within the molecules and atoms that make up the body and the energy generated by the intermolecular forces between them are collectively called internal energy.In other words, the energy hidden in the system that can appear under different conditions can be called the internal energy of the system.Internal energy is the sum of two energies:
(a) Thermal energy, which is the kinetic energy of molecules in random motion, and
(b) Potential energy of atoms.
Potential atomic energy arises from the atomic forces acting between the atoms of molecules and the intermolecular forces between molecules.Total internal energy, E = kinetic energy (K.E.) + potential energy (P.E.).The state function describes the equilibrium state of the system, as well as the system itself. It is called the state function because the internal energy U is defined by the quantity that determines the state of the system at equilibrium. It is completely determined by the initial and final state of the system. As the temperature of the system increases, the molecules move faster, resulting in an increase in kinetic energy and an increase in internal energy.To learn more about Internal energy -
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What is K in elastic potential energy formula?
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k in elastic potential energy is the spring constant. It is also known as a proportionality constant that describes the relationship between the strain in the spring and the force that causes it.
Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring. It is equal to the work done to stretch the spring which depends on the spring constant k and the distance stretched.
The spring constant is the measure of stiffness of the spring. The spring constant tells us, how many newtons of force it takes to stretch the spring by one meter.
The spring constant depends on the stiffness of the spring material, the thickness of the wire from which the spring is wound, the diameter of the turns of the coil, the number of turns per unit length and the overall length of the spring.
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The threshold of hearing is defined as the minimum discernible intensity of the sound. it is approximately 10^−12w/m^2. Find the distance d from the car at which the sound from the stereo can still be discerned. assume that the windows are rolled down and that each speaker actually produces 0.06 w of sound, as suggested in the last follow-up comment.
Answers
The threshold of hearing is the minimum intensity of sound that can still be discerned and is approximately 10^−12w/m^2. Therefore the distance from the car at which the sound from the stereo can still be discerned is 6x10^11 m.
Calculate the intensity of the sound at the car:
Intensity = Power/Area
Intensity = 0.06W/1m^2
Intensity = 0.06W/m^2
Calculate the distance d at which the intensity of the sound is equal to the threshold of hearing:
Threshold of hearing = 10^−12w/m^2
Intensity = 0.06W/m^2
d = (0.06W/m^2)/(10^−12w/m^2)
d = 6x10^11 m
Therefore, the distance from the car at which the sound from the stereo can still be discerned is 6x10^11 m.
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(a) your pendulum clock which advances 1.0 s for every complete oscillation of the pendulum is running perfectly on earth at a site where the magnitude of the acceleration due to gravity is 9.80 m/s2. you send the clock to a location on the moon where the magnitude of the acceleration due to gravity is 1.65 m/s2. does the clock run fast or slow on the moon?
Answers
The clock runs slower on moon than on earth.
As we know that time period of simple pendulum will be
T = 2π√(L/G)
Now we will have,
time period of a clock on the surface of earth will be 1 s where we have acceleration due to gravity is g = 9.8 m/s².
Now if we took the pendulum to the surface of moon where acceleration due to gravity will be 1.65 m/s² then this time period will change
so we will say by above equation;
T(earth)/T(moon) = √(G(moon) / G(earth)
From above equation we get;
T(moon) = √(9.80/1.65) * 1 sec
T(moon) = 2.44 sec
So, time period on moon will be 2.44 sec.
Therefore, clock runs slow on the moon.
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What is the kinetic energy of a 1400 kg sports car Travelling down the road with a speed of 30 m s?
Answers
The kinetic energy of the sports car is 630 KJ.
The kinetic energy is the energy possessed by the system by virtue of its motion.
Also kinetic energy is equal to the net work done on the object.KE = ΔW
The SI unit of the kinetic energy is joule (J).The formula to calculate the kinetic energy is KE = (1/2)*m*v²Where,
m = mass of the object
v = speed at which the object is moving
Kinetic energy depends on the speed squared of the object. This means that when an object's speed is doubled, its kinetic energy is quadrupled.Mass of the car = 1400 Kg
Velocity of the car = 30 m/sec
KE = (1/2)*1400*(30)²
KE = (1/2)*1400*900
KE = 630000 J
KE = 630 KJ
The kinetic energy of a 1400 kg sports car travelling down the road with a speed of 30 m/s 630 KJ.
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Need help! Thanks lots!
Answers
The final momentum of the ball after collision is 13 kg(m/s) because this is closed isolated system and in this the momentum is conserved .
How is the final momentum calculated ?The given parameters;
initial momentum of the box (P₁)
initial momentum of the ball (P₂)
final momentum of the ball (P₃)
final momentum of ball after collision (P₄)
∴ P₁ = 15 kg(m/s)
∴ P₂ = 3 kg(m/s)
∴ P₃ = 5 kg(m/s)
Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;
total momentum before collision = total momentum after collision
∴ P₁ + P₂ = P₃ + P₄
∴ 15 + 3 = 5 + P₄
∴ 18 = 5 + P₄
∴ 18 - 5 = P₄
∴ P₄ = 13
Hence, the final momentum is 13 kg(m/s)
What is the law of conservation of momentum ?The law states that the sum of two bodies' momentums before contact equals the sum of their momentums after impact. Both bodies move at different speeds before colliding, yet in some circumstances, the bodies move at the same speed after colliding.
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How does mass affect the amount of kinetic energy in a moving object? Explain how you know by stating your claim, the evidence for your claim, and your reason why this evidence supports your claim.
Answers
A moving object's kinetic energy is inversely correlated with its mass and inversely correlated with the square of its speed.
What is the impact of mass on kinetic energy?If all other variables are maintained constant, mass and kinetic energy have a positive relationship, which indicates that as mass grows, kinetic energy increases. Accordingly, an object with the same mass and speed as another object will have twice the kinetic energy, and another object with the same mass and speed as another object will have four times the initial kinetic energy.
It is more difficult to move and stop heavier objects (i.e., items with more mass). Greater mass, or heavier items, resist change more than lighter ones do. Using a bicycle or a Cadillac while being pushed, or stopping them once they are moving. The difficulty of starting or stopping an object increases with its mass (or inertia).
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What is the wavelength of a radio wave with frequency 8.95 x107 Hz?
Answers
The wavelength of a radio wave is 3.352m .
Planck himself originally imagined it to be the constant of proportionality.
Like every other wave, electromagnetic radiation consists of a frequency and a wavelength, and the product of these is continually identical to c, the speed of light.
Electromagnetic waves are all round us, and in addition to visible radiation, different wavelengths are generally known as radio waves, microwaves, infrared, ultraviolet, X-rays, and gamma rays.
All of these varieties of electromagnetic radiation have a similar basic type as defined by using Maxwell’s equations; however, their energies range with frequency (i.e., a higher frequency means that better electricity).
As he knew from Maxwell, the energy of a wave is proportional to its frequency.
So E ∝ v
Inserting the constant of proportionality gives: E=hv
Using this equation, we can calculate the energy of only single wave particles: photons, electrons, protons, neutrinos, muons, etc.
The Frequency of radio wave is 8.95 x 10⁷Hz.
The speed of light wave is 3 x 10⁸m/s
y=c/v
y=3 x 10⁸m/s/8.95 x x 10⁷Hz=3.352m
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an electromagnetic wave of wavelength 435nm is traveling in vacuum in the − z-direction. the electric field has amplitude 2.70×10−3v/m and is parallel to the x-axis.
Answers
Given wavelength λ=435λ=435 nm, we can find the frequency by using the formula f=c/λ f=6.89×1014 Hz
What is an example of an electric field?
The area of space surrounding any electrically charged particle and object where the charge body perceives force is known as the electric field.Examples are:Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.
What are electric field and what does it mean in SI?Volts / metre (V/m) is the electrical field's SI unit.The Newton's per coulomb unit is the same as this one.These units are derivations from Newton, which stands for force, and Coulomb, which stands for charge.
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Describe how the law of inertia relates to the following scenario: you are riding in a car, and your body is thrown to the right as the car turns to the left.
Answers
My body is thrown to the right as the car turns to the left is because of inertia of direction .
A body moving in a specific heading can't adjust its course with practically no force being applied on it. It is the property because of which a body keeps up with its internal compass. eg When we travel by a motorcar and in the event that it makes a sharp turn at a fast, we will quite often get tossed aside.
Inertia of direction states that a body is unable to change its position until an external force acts on the body. Since during turning to left whole car mass is towards left side, to counter the effect of car's mass my body moves to opposite position i.e to the right side.
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Brandon is on one side of a river that is 80 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if brandon can swim at 2 m/s and run at 4 m/s.
Answers
The minimum amount of time Brandon needs to reacha point 250m downstream is 97.20 seconds.
Please refer to the picture bellow for better understanding.
From the case, we have some informations such:
river wide = 80 m
river length = 250m
v1 = v swim = 2 m/s
v2 = v run = 4 m/s
Using the velocity formula, we know the relationship between velocity, distance, and time is:
v = s/t
where:
v = velocity
s = distance
t = time
Hence, we could rewrite the velocity formula in terms of time such:
t = s/v ... (i)
Now, let's try to find the time Brandon needs for swimming diagonally.
We assume that Brandon's swimming distance is r with wide 80m and length x m. Hence:
r = [tex]\sqrt{80^{2} +x^{2} }[/tex] ... (ii)
The time Brandong spends swimming is:
t1 = s1/v1
t1 = r/v1
t1 = √(80²+x²) ... (iii)
2
Meanwhile the time Bradon spends for running is:
t2 = (250-x)/4 ... (iv)
We know that the total time would be:
t total = t1 + t2
t total = √(80²+x²) + 250 - x
2 4
To find the minimum time, we will use derivative function of t:
t total' = 0
d (√(80²+x²) + 250 - x ) dx = 0
2 4
x - 1 = 0
2[√(80²+x²)] 4
2x = 1
√(80²+x²)
2x = √(80²+x²)
4x² = 80² + x²
x ≈ 46.2m ... (v)
We will subtitute the value of x to the equations (iii) and (iv):
t1 = √(80²+x²) / 2
t1 = 92.4 / 2
t1 = 46.25s
t2 = (250-x) /4
t2 = 203.8 / 4
t2 = 50.95s
The minimum amount of time for Brandon to reach his targeted point is:
t total = t1 + t2
t total = 46.25 + 50.95
t total = 97.20 s
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A tennis ball is hit with a tennis racket. Compared to the magnitude of the force of the racket on the ball, the magnitude of the force of the ball on the racket is.
Answers
The force of the racket on the ball compared to the force of the ball on the racket is the same.
The force in physics is defined as ;
The push or pull on a mass-containing item changes its velocity.
An external force is an agent with the ability to change a body's resting or moving state. It has a magnitude and a direction. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
Every time one object applies force to another, the other object applies an equal and opposing force to the first.
According to Newton's third law,
Action and reaction are always equal in magnitude but opposite in direction.
In other words, interactions lead to forces. So, the force of the racket on the ball compared to the force of the ball on the racket is the same. So according to the question option 3 is correct.
Your question is incomplete but most probably your full question was
A tennis ball is hit with a tennis racket. The force of the racket on the ball compared to the force of the ball on the racket is
1- smaller
2- Larger
3- The same
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Coherent light with wavelength 400 nm passes through two very narrow slits that are separated by 0.200 mm, and the interference pattern is observed on a screen 4.00 m from the slits. (a) What is the width (in mm) of the central interference maximum? (b) What is the width of the first-order bright fringe?
Answers
(a) The width (in mm) of the central interference maximum is [tex]8.0mm[/tex].
(b) The width of the first-order bright fringe is [tex]8.0mm[/tex].
fringe width = w=D/d λ is the wavelength of light
D is the screen distance from the slit
d is a separation between slits
Constructive interference,
⇒dsinθ = n ×λ
⇒sinθ = [tex]\frac{n}{d}[/tex] ×λ
⇒ y = R [tex]\frac{n}{d}[/tex] ×λ ............(1)
here n= 0, ±1 , ........
the width of the central interference maximum,
⇒[tex]y_{max}[/tex] = R λ× [tex]\frac{1}{d}[/tex] = [tex]\frac{4,0m}{0,2mm}[/tex] ×[tex]400nm[/tex]
⇒[tex]y_{max}[/tex] = [tex]8.0mm[/tex]
the width of the first-order bright fringe.
⇒[tex]y_{1}[/tex] - [tex]y_{0}[/tex] = [tex]\frac{R}{d}[/tex]×λ -0 = [tex]\frac{4,0m}{0,2mm}[/tex] ×[tex]400nm[/tex]
⇒[tex]y_{1}[/tex] = [tex]8.0mm[/tex]
In physics, wave assets are coherent if their frequency and waveform are equal. Coherence is an excellent asset of waves that enables stationary (i.e., temporally, or spatially constant) interference. It contains numerous awesome concepts, that are proscribing cases that never pretty arise in fact however permits knowledge of the physics of waves, and has grown to be a very essential idea in quantum physics. more generally, coherence describes all homes of the correlation among physical quantities of a single wave, or between several waves or wave packets.
Interference is the addition, in the mathematical experience, of wave features. A single wave can interfere with itself, but this is nevertheless an addition of two waves (see younger's slits experiment). optimistic or unfavorable interference is restricted cases, and two waves continually intervene, despite the fact that the result of the addition is complex or now not amazing. while interfering, two waves can add collectively to create a wave of more amplitude than either one (optimistic interference) or subtract from each difference to create a wave of lesser amplitude than both (negative interference), relying on their relative section.
Two waves are said to be coherent in the event that they have a consistent relative phase. the amount of coherence can effectively be measured through interference visibility, which looks at the dimensions of the interference fringes relative to the enter waves (as the section offset is numerous); a specific mathematical definition of the diploma of coherence is given with the aid of correlation capabilities.
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A nurse applies a rightward horizontal force on a bed with a mass of 152 kg. What is the magnitude of the normal force acting on the bed?.
Answers
The magnitude of the normal force acting on the bed is 1489.6 Newton.
The nurse is applying a rightward horizontal force on a bed which has a mass of 152 kg.
If the mass of the bed is 152 kg then the force of gravity on the bed is,
W = Mg
M is mass of bed and g is gravitational acceleration.
Putting values,
W = 152×9.8
W = 1489.6 N.
The normal force is always perpendicular to the surface of the bed so, the normal force on the bed will be equal to the weight of the bed which is 1489.6N.
So, the normal force on the bed is 1489.6N.
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treasure searching pirates walked due north for 2 hours through 4 miles of swamp. afterwards, they stopped for an hour of rest before continuing eastward for another 4 hours to cross 5-miles of jungle. calculate the average velocity in miles per hour of the above pirates. do not enter the unit with your answer.
Answers
The average velocity of the pirates is 1.44 miles/hr.
A vector quantity is an average velocity. The change in position or displacement (x) divided by the time intervals (t) in which the displacement happens yields the average velocity. Depending on the sign of the displacement, the average velocity can be positive or negative. Meters per second (m/s or ms-1) is the SI measure of average velocity.
total time = t₁ + 1 + t₂
T = 1 + 1 + 3
T = 5hr
Displacement = AC = √(4² + 6²)
S = √16+36
S = √52
Average velocity = Displacement/ Time
v = S/t
substituting the value in the above equation, we get
v = 7.2/5
v = 1.44 mile/hr
Thus, the average velocity of the pirates is 1.44 miles/hr.
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Noise cancelling headphones are a kind of headphones which decrease the amount of background noise that get into your ears when you wear them. On what physical phenomena do these headphones depend on?
Answers
The theory of destructive interference underlies the operation of noise-cancelling headphones.
The process of using passive and active noise control techniques to reduce undesired background and ambient noises is known as noise cancellation.
Active noise cancelling (ANC) adopts a different strategy from passive noise cancellation by "neutralising" incoming sound waves from your surroundings. Passive noise cancellation reduces ambient noise by erecting a "physical shield" to mask sound.
Small microphones built into ANC headphones send out sound waves that interfere with incoming sound waves from the environment, cancelling each other out. It's comparable to adding +3 and -3, where the result is zero (silence).
Both inside and outside the headphones' walls are picked up by the microphones.
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a bicyclist starts down a hill with an initial speed of 3.5 m/s. she moves down the hill with a constant acceleration, arriving at the bottom of the hill with a speed of 8.6 m/s. if the hill is 12 m long, what was its acceleration traveling down the hill?
Answers
The acceleration traveling down the hill is 2.571 m/s^2.
Given:
initial speed (U)=3.5 m/s
Final velocity(V) =8.6 m/s
Distance covered(s)= 12 m.
Formula : (V)^2=(U)^2+ 2as
(8.6)^2 =(3.5)^2+2*a*12
a=2.571 m/s^2
velocity is the directional velocity of a moving item as an indicator of the price of trade of role observed from a particular frame of reference and measured by a specific time fashionable.
Acceleration in mechanics, acceleration is the rate of alternate of an item's pace with respect to time. Acceleration is a vector amount. The direction of an object's acceleration is given with the aid of the route of the net force performing on that object.
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a simple pendulum consisting of a bob of mass m attached to a string of length l swings with a period t.
Answers
The new period of oscillation if the mass of the bob is reduced by half is [tex]\frac{T}{\sqrt{2}}[/tex] or T/√2.
Look at the attachment for a complete question. The period of oscillation of the simple pendulum
[tex]T \:=\: 2 \pi \sqrt{\frac{m}{k}}[/tex][tex]T \:=\: 2 \pi \sqrt{\frac{L}{g}}[/tex]where
π = 3.14m = the mass of the bob (kg)k = the rope constant (N/m)L = the length of the swing (m)g = the acceleration due to gravity (m/s²)If we change the mass of the bob and didn't change the rope, the period also will change but the rope constant will not. The ratio of the period between the two condition
m₁ = mT₁ = Tm₂ = 0.50 mT² = 4π²m/k
T₁²: T₂² = m₁ : m₂
T²: T₂² = m : 0.50 m
T²: T₂² = 1 : 0.5
T₂² = 0.5T²
[tex]T_2 \:=\: \sqrt{0.5T}[/tex]
[tex]T_2 \:=\: \sqrt{\frac{T}{2}}[/tex]
T₂ = T/√2
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why did the big bang not produce a significant proportion of elements heavier than helium?
Answers
The big bang could able to produce only the highest heavier element helium due to very low temperature.
Big Bang nucleosynthesis produced only a few nuclei of factors heavier than lithium because of a bottleneck, the absence of a strong nucleus with eight or five nucleons. This deficit of large atoms additionally restricted the quantities of lithium-7 produced for the duration of BBN. In the early universe, it becomes too warm for factors to shape till numerous mins into the expansion. At that point, there have been just a few mins in which factors ought to shape earlier than it has become too cool for in addition nucleosynthesis. Thus the heavier element produced by the big bang explosion is helium
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A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. When 254 kcal of heat is added to the gas, the volume is observed to increase slowly from 12.0 m^3 to 16.2 m^3.
a. Calculate the work done by the gas.
b. Calculate the change in internal energy of the gas.
Answers
The work done by the gas for question A will be 4.2 * 10^5 J.
The change in internal energy of the gas for question B is 6.43 * 10^5 J.
What is work (in gas)?For a gas, it is the product of the pressure P and the volume V during a change of volume. The formula for work done in gas is W (work) = P (pressure) * V (volume)
Now, let's calculate the work done by gas to answer question A.
Work = Pressure * (Volume 2 - Volume 1)
= 1 atm * (16.2 - 12)
= 10^5 Pa * 4.2
= 4.2 * 10^5 J
So the work done by the gas is 4.2 * 10^5 J.
Now, let's find the change in internal energy of the gas.
The heat energy added to the system is
Q = 254kcal
= 254kcal * (4184J / 1 kcal)
= 1.063 * 10^6 J
The change in internal energy of gas is
ΔU = Q (the heat energy added) - W (work done by gas)
= 1.063 * 10^6 J - 4.2*10^5 J
= 6.43 * 10^5 J
Therefore, the change in internal energy of the gas is 6.43 * 10^5 J
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With respect to saving energy, what aspect of using two-sided printing was discussed in class as providing the most signifiant benefit?
Answers
The benefit of employing two-sided printing that was highlighted in class as being the most important is that it only requires one sheet of paper as opposed to two when printing a two-sided document.
What does two-sided printing mean?Standard 2-sided printing can be used to print on both sides of a sheet. You can choose between manual and automatic printing. When printing by hand, even-numbered pages are printed first. After printing these pages, you may simply reload them to print the odd-numbered pages on the opposite side of the paper.
Therefore, double-sided printing can save your business about half as much money as single-sided printing, according to certain important estimates. Due to the fact that duplex printing uses only half as much paper as one-sided printing, businesses can reduce their material costs.
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which phenomenon that goes unexplained by lewis structures is solved by applying molecular orbital theory?
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In terms of combinations of the atomic wave functions, the Molecular Orbital (MO) Theory defines how electrons behave in molecules. All of the atoms in the molecule may be covered by the resulting molecular orbitals.
A molecule is stabilized by the presence of electrons in bonding molecular orbitals, which are created by in-phase combinations of atomic wave functions. A molecule becomes less stable when electrons are located in antibonding molecular orbitals, which are produced by out-of-phase combinations of atomic wave functions. MOs are atomic orbitals that are situated along an internuclear axis. S orbitals or p orbitals orientated end to end can be used to create them.The electron density of orbitals, which are produced from p orbitals positioned side by side, is on the opposite side of the internuclear axis. By using the valence electrons of the atoms in conjunction with molecular orbital theory, we can describe the electronic structure of diatomic molecules.Although there are two unpaired electrons in the molecule's molecular orbital description, the electrons in the Lewis structure are all paired. As a result, by examining how a magnetic field affects oxygen, we can test the predictions of these theories.
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In a binary-star system that produces a nova, the white dwarf pulls matter from the companion star. the matter forms an accretion disk that orbits the white dwarf. then a specific sequence of events must take place for a nova event to occur.1. Material accumulates onto the white dwarf's surface, increasing in temperature and density. 2. At a temperature of 10 million K, the accumulated surface hydrogen begins nuclear fusion. 3. Nuclear fusion reactions cause an enormous but temporary increase in luminosity. 4. As nuclear fuel is burned up or blown into space, fusion ceases and the star dims.
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As a head-up, it is important to notice that a white dwarf only shine to the stored energy and light, because a white dwarf doesn't have any hydrogen left to perform nuclear fusion.
Now, the process:
First, the white dwarf accumulates all the extracted matter from its companion onto its own surface. This extra matter increases the white dwarf's temperature and density.
After a while, the start reaches about 10 million K, so nuclear fusion can begin. The hydrogen that has been stolen from the other start and accumulated in white dwarf's surface it is used for the fusion, dramatically increasing the star's brightness for a short time, causing what we know as a nova.
As this fuel, it is quickly burnt out or blown into space, the star goes back to its natural white dwarf state. Since the white dwarf nor the companion star are destroyed in this process, it can happen countless of times during their lifespan.
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A family car has a mass of 1400 kg. In an accident it hits a wall and goes from a speed of 27 m/s to a standstill in 1. 5 seconds. Calculate the force involved.
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The force involved is = 25200 Newton
Given the values in the questions,
Mass = 1400 kg
Speed or velocity of the car = 27 m/s
Time is given = 1.5 seconds
According to the formula of force,
⇒ Force = Mass x Acceleration
⇒ Force = 1400 x Acceleration ----- equation 1
Now to calculate the value of acceleration we will use,
⇒ Acceleration = (Velocity or Speed) / Time
⇒ Acceleration = 27 / 1.5
⇒ Acceleration = 18 m/[tex]s^{2}[/tex]
Putting the value of acceleration in equation 1,
⇒ Force = 1400 x 18
⇒ Force = 25200 Newton
Therefore, the force involved is = 25200 Newton
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A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.
If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?
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The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.
What is the sound's velocity?By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.
Briefing:The following equation relates the distance to the direction and initial velocity:
d = [v₀²sin2θ]/g, where θ – the angle of the jump.
Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62
v₀ = 10.65 m/s ( the take off speed).
The horizontal velocity equals:
vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s
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