Answer:
Celsius
Explanation:
...or centigrade
3.A 12V battery is in series with a 10ohm resistor ,an open switch and a 20mH inductor. a) What is the current flowing in the circuit after the switch has been closed for a long time? b) What is the value of time constant c)How much current will be flowing in the circuit after 10ms d) What is the voltage across the resistor and inductor at t=10ms e) At what rate is the current changing at this instant f)How many time constants will it take for the current to reach 99.4% to maximum value
Answer:
A. I = 12/(10 + 20mH) = 0.545 A
B. Time constant = 20mH
C. I = 0.545 * (1 - e^(-10/20mH)) = 0.49 A
D. V = 12 - IR = 12 - (0.545 * 10) = 10.91 V
E. di/dt = 12/20mH = 0.6 A/s
F. It will take 3 time constants for the current to reach 99.4% of its maximum value.
Explanation:
What is the mass of an object moving at a speed of 5 m/s and has a momentum of 20 kg. m/s?
Answer:
An object of mass 20 kg is moving with a velocity of 10 m / s. Its momentum will be: A. 2000 kg · m / s, B. 200 kg · m / s, C. 2 kg · m / s, D. 20 kg · m / s An object of mass 20 kg is moving with a velocity of 10 m / s. Its momentum will be: A. 2000 kg · m / s, B. 200 kg · m / s, C. 2 kg · m / s, and D. 20 kg · m / s.
Explanation:
The correct option is (B) 200 kg.m/s
Given,
Mass of the body = 20 kg
Velocity of the body = 10 m/s
We know,
The momentum of a body is given by the product of the mass of the body and velocity.
So,
M
o
m
e
n
t
u
m
P
=
M
a
s
s
m
×
V
e
l
o
c
i
t
y
v
Putting all the values
P
=
20
×
10
=
200
kg.m/s
Hence the momentum of the body is 200 kg.m/s
When the height of the cylinder increased by a factor of 5, from 100 m to 500 m, what happened to the cylinder's
gravitational potential energy?
O It decreased by a factor of 10.
O It decreased by a factor of 5.
O It increased by a factor of 5.
OIt increased by a factor of 10.
Option c) Increase by 5 times
The cylinder's gravitational potential energy increases 5 times
What is gravitational potential energy ?
Gravitational energy or gravitational potential energy is the potential energy that an object with mass has with respect to another object with mass due to gravity. It is the potential energy associated with the gravitational field that is released (converted into kinetic energy) as objects fall toward each other.
Objects have gravitational potential energy if they are at altitudes above (or below) zero altitude. A body has elastic potential energy if it is in a non-equilibrium position on an elastic medium.
Formula for calculating gravitational potential energy
gravity P.E = m g h
m = mass
g = gravitational acceleration = 9.81 m/s²
h = height
GPE' = new gravity P.E
m g h ' / m g h = GPE' / GPE
mg500/mg100 = GPE' / GPE
deletion mg
500/100 = GPE' / GPE
5 = GPE' / GPE
GPE' = 5GPE
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A 1 kg block is placed near the top of an inclined plane that is at an angle of 30 degrees with respect to the ground, as shown above. By
correctly determining the effect of gravity, a student predicts that the acceleration of the block will be 5 m/s². After allowing the block to
slide down the inclined plane, the student finds that the acceleration is actually 4 m/s². What type of force did the student most likely not
account for when predicting the acceleration of the block, and what is the magnitude of that force?
Option b) is correct answer. b)Force of friction is approximately 1N
What is frictional force?Friction is that force which resists the relative motion of solid surfaces, fluid layers and material elements sliding against each other.
When only gravity is considered then the force on block is written as :
F= mgsin = ma
a= gsin
=g sin30
=9.8 *1/2
=4.9 m/s²
a= 5 m/s²
When friction considered is 4 m/s² that is given,
Then frictional force is in opposite direction
It is given as, F= mgsin - F
ma =mgsin- ma friction
4= 5 - a friction
afriction = 1 m/s²
Ffriction = 1N, hence option b is correct
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What is the momentum of rolling ball?
30kg/ms is the momentum of an 10 kg bowling ball rolling at 3 m/s.
What is momentum?As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.
p = mv
where m is the mass of the object , v is the velocity of the object.
From this, we get
p = 10 kg × 3 m/s
= 30 kg m/s
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
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compute the position and the focal lenght of a converging lens of which will profuce the image of a lamp magnified 4 times on a screen 10cm from the lamp
The "Open" sign at your local deli flashes on and off all day long at 2.0 s intervals. The aliens spying on you from space are watching the same neon sign you are but they are moving towards Earth at a speed of 0.90c. How long is the interval flash (in s) for the aliens?
Answer:
Interval t = 0.87 s
Explanation:
Given:
t₀ = 2.0 s
V = 0.90c
_________
t - ?
Relativistic clock slowdown:
[tex]t = t_0\cdot \sqrt{1-(\frac{V}{c} )^2} \\[/tex]
[tex]t = 2\cdot\sqrt{1 - (\frac{0.90c}{c})^2 } = 2\cdot\sqrt{1 - 0,90^2}= 2\cdot\sqrt{0.19} = 0.87 s[/tex]
Imagine standing on a sandy beach on a warm, sunny day facing east. The sand and you are hot. You want to catch a cool breeze on your face.
Which way should you face?
Answer:
You should face west.
Explanation:
(It's solved :))
Mass of a body is 100±2% kg and it's volume is 100±3% m³. Find the percentage error of the density of the body.
The mass and volume of a body are given, then the percentage error of the density of the body will be equal to 5%.
What is density?Mass per unit volume of a solid substance, density. Density is defined as d = M/V, where M stands for gravity, and V for volume.
The measure of density that will be most frequently used is grams per cubic centimeter. For instance, the density of Earth is 5.51 grams per cubic centimeter, whereas the density of water is 1 gram per cubic centimeter. Kg per cubic meter is another method for determining density.
Mass, M = 100±2% kg = 100±0.02 kg
Volume, V = 100±3% m³ = 100±0.03 m³
P =M/V
Use the error analysis method,
log P = log M - log V
Differentiate on both sides of the above equation,
dP/P = dM/M+dV/V
Check for maximum possible error:
dP/P = 0.02/100+0.03/100 = 0.05/100
dP/P = 5%.
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which city or cites have 24 hours of daylight during the sunlight
Answer:
Abisko, Sweden
Abisko is home to the Aurora Sky Station and epicenter for aurora experiences in northern Sweden. During summer months, the sun bathes the town in up to 24 hours of sunlight per day. Between late June and mid-July, the Aurora Sky Station offers scenic chairlift rides up the mountains.
Which of the following correctly ranks the magnitude of the average acceleration of the cart during the four sections of the graph?
a) Acd > Aab > Abc > Ade
b) Abc > Aab > Acd > Ade
c) Aab > Abc > Ade > Acd
d) Acd > Aab > Ade > Abc
The magnitude of the average acceleration of the cart: a(CD) > a(AB) > a(DE) > a(BC). Therefore, option (d) is correct.
What is average acceleration?Acceleration can be defined as the rate of change of velocity and is denoted by ‘a. It is measured in the units of m/s². For a particular interval, the average acceleration is the change in velocity for that specific time interval.
Average acceleration is calculated by the following formula,
Average acceleration = Δv/Δt
Where Δ v is the change in velocity and Δt is the total time in the velocity is changing.
For the curve AB:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (8 -0)/(0.6 - 0) = 13.3 m/s²
For the curve BC:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (8 -8)/1 - 0.6) = 0 m/s²
For the curve CD:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (0-8)/(1.2 -1.0) = -40 m/s²
For the curve DE:
Average acceleration = [tex]a =\frac{v_f-v_i}{t_f-t_i}[/tex]
a = (-4-0)/(2.0 - 1.2) = 5 m/s²
Therefore, the magnitude of the average acceleration of the cart: Acd > Aab > Ade > Abc
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A car is travelling at 30m/s. Suddenly, the driver sees a danger ahead and decides to do an emergency stop. The driver's reaction time is 0.6 s. Calculate how far the car travels before the driver starts pressing the brake pedal.
Answer:
Explanation:
Given:
V =30 m/s
t = 0.6 s
_________
D - ?
Distance:
D = V·t = 30·0.6 = 18 m
Answer:
The car travels 18 meters before the driver starts pressing the brake pedal.
Given:
Speed of the car = 30 m/s
Reaction time = 0.6 s
To Find:
Distance travelled by the car before the driver starts pressing the brake pedal.
Formula:
[tex] \boxed{ \rm Distance= Speed \times Time}[/tex]
By substituting the value in the formula we get:
[tex]Distance= 30 \times 0.6 \\ \\ = 18 \: m[/tex]
A golf ball has a mass of 45.6 grams. It rolls off a table at a height of 85.0 cm above the ground. As it bounces, 0.115 J of energy is lost. What maximum height does it travel to after the bounce? You may neglect air resistance.
The maximum height traveled by the ball of mass 45.6 grams is 0.593 m.
What it height?Height is the vertical distance between two points.
To calculate the maximum height the golf ball will travel to after the bounce, we use the formula below.
Formula:
h = (mgH-E')/mg......... Equation 1Where:
H = Height of the tableE' = Energy lost by the ballm = Mass of the ballh = Maximum height traveled by the ballg = Acceleration due to gravityFrom the question,
Given:
m = 45.6 g = 0.0456 kgH = 85 cm = 0.85 mE' = 0.115 Jg = 9.8 m/s²Substitute these value into equation 1
h = [(0.0456×0.85×9.8)-0.115]/(0.0456×9.8)h = 0.593 mHence, the maximum height traveled by the ball is 0.593 m.
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An airplane is flying with a force of 800 N. It experiences a force of air resistance of 40 N and a wind force of 60 N, both acting in the opposite direction that the plane is traveling. What is the net force on the airplane?
A) 700 N
B) 900 N
C) 660 N
D) 840 N
According to the given statement 700 N is the net force on the airplane.
The correct option is A.
Why is it called net force?The total amount of pressures exerted on an object is referred to as its net force. The total of N pressures applied on an item is given in the equation below. The total force operating on an item, which could include a variety of forces, is known as the net force acting on an object.
Briefing:Airplane flight force (F1) equals 800 N
Which two forces are opposing each other
40 N of air resistance
Force of wind = 60 N
Net force is equal to
F1 - 40 - 60 = 800 - 100 = 700 N.
The airplane will be subject to a net force of 700 N.
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a race car entering the curved part at the Daytona 500 drops its speed from 85.0m/s to 80.0 m/s in 2.0s. if the radius of the curved part of the track is 316.0 m, calculate the total acceleration of the race car at the beginning and ending of reduction of speed
A race car entering the curved part at the Daytona 500 drops its speed from 85m/s to 80m/s in 2s. If the radius of the curved part of the track is 316m, the total acceleration of the race car at the beginning is 22.86m/s² and at the ending of reduction of speed is 20.25m/s².
The car is moving in the curved part and hence possesses centripetal acceleration. It is given by the formula, a=v²/r
where, a is centripetal acceleration in m/s²
v is velocity in m/s
r is radius in metres
It is given that the velocity of the car in the beginning is 85m/s (v₁) and the velocity of the car in the ending is 80m/s (v₂).
Now, let us find out the acceleration of the car in the beginning (a₁) and in the ending (a₂).
a₁=(v₁)²/r = (85)²/316 = 22.86m/s²
a₂=(v₂)²/r = (80)²/316 = 20.25m/s²
Thus, the total acceleration of the race car at the beginning and at the ending of reduction of speed are 22.86m/s² and 20.25m/s² respectively.
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Why is hygiene a valued health practice in workout facilities?
This is one method of how infectious diseases like skin infections spread. Keeping the gym clean is essential to maintaining everyone's health and safety.
Which skin illness is the worst?Necrotising fasciitis is just a severe infection of the skin, including tissue beneath the skin, and the fascia (the fibrous tissue that divides muscles and organs), which causes necrosis, or the death of tissue. If not identified and treated promptly, the infection spreads quickly, is lethal.
A skin infection: how do you treat it?Depending on the infection's origin and intensity, different treatments are available. It may take days or weeks for some viral skin infections to heal on their own. Antibiotics taken orally or administered topically to the skin are frequently used to treat bacterial infections.
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Joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg. What is the tension in the cable that pulls the elevator upwards?
A) 4200 N
B) 9800 N
C) 3700 N
D) 5200 N
4200 N is the tension in the cable that pulls the elevator upwards.
The correct option is A.
What does tension ?Tension is the force that is sent through a rope, thread, or wire whenever two opposing forces pull on it. Along the whole length of the wire, the tensile stress pulls equally on all objects at the ends. Every physical object that comes into contact with that other one exerts force on it.
Briefing:We employ the following formula to determine the cable's tension.
Formula:
T = mg+ma............ Equation 1
Where:
T is the cable's tension.
M = Mass of the elevator and the Joey
Accelerating with a
g = Gravitational acceleration
Considering the query,
Given:
m = (300+60) = 360 kg
a = 2 m/s²
g = 9.8 m/s²
Substitute these values into equation 2
T = (360×9.8)+(360×2)
T = 3528+720
T = 4248 N
T ≈ 4200 to the nearest hundred.
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Find the displacement and acceleration of the object in the graph.
The correct answer is as per graph displacement and acceleration is initially 0 m & 0 m/s^2, at middle 0 m & Infinity m/s^2 and finally 320 m & 5 m/s^2 respectively.
What is relation between velocity & acceleration with respect to displacement and time?
Velocity = Displacement / Time
Acceleration = Velocity / Time
Given data:
V1 = 40 m /s, t = 0 (Initial Velocity)
Displacement = 40 x 0 = 0 m,
Acceleration = 40 / 0 = 0 m/s^2
V2 = 0 m/s, t = 4 sec
Displacement = 0 x 4 = 0 m,
Acceleration = 0 / 4 = Infinity m/s^2
V3 = -40 m/s, t = 8 sec
Displacement = -40 x 8 = 320 m (in opposite direction)
Acceleration = -40 / 8 = 5 m/s^2
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If I have a USB 3.1 port that provides a maximum current of 0.9A at a voltage of 5V, when I connect a device with a resistance of 2 ohms and I want to calculate the current that will flow through it. I use Ohm's law and calculate that the current that will flow will be 2.5 by dividing the voltage by the resistance, but if the maximum current it provides is 0.9 A how is this possible? Am I calculating wrong?
Answer:
By understanding exactly what the word resistance means in this context. It is a simple constant of proportionality.
sample of a conductor, there was a simple linear relationship between current and voltage. If you doubled the voltage the current would double. It is possible to write
R=V/I
Explanation:
A laser beam from Earth is reflected back from a mirror on the Moon in 2.60 s. If the distance between Earth and the Moon is 3.85 × 108 m, calculate the speed of light. Please show all work. (ref: p.438-446)
The speed of the light is found to be 1.48 * 10^8 m/s.
What is the speed of the light?We know that the moon is a non luminous body in the solar system. This means that the moon does not produce any light as we can see. The light that appears to come from the moon is light that has been reflected from the surface of the moon.
Now we know that;
Distance that have been covered from the moon = 3.85 × 10^8 m
Time taken to move from the moon = 2.60 s
Speed of the light = Distance/ time
= 3.85 × 10^8 m/2.60 s
= 1.48 * 10^8 m/s
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The ability of a covalently bonded atom to attract the shared electrons is called.
What is Electronegativity?
It is unusual for the more electronegative atom to fully dominate the bond pair of electrons in covalent bonds if there is a significant difference in the electronegativities of the bound atoms, leading to the creation of two ions. The more electronegative atom creates an anion in this situation, whereas the more electropositive atom transforms into a cation.All covalent connections between organisms that are not homologous contain an ionic component. The difference in electronegativity determines the covalent bond's ionic nature. The bond will be more covalent than ionic when the electronegativities of the bound species are not significantly different.However, the bond becomes polar enough to be regarded as more ionic than covalent when there is a significant enough difference in the electronegativities of the bound atoms.
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Which has more momentum a heavy truck moving at 50 km/h or a light truck moving at 50km h?
A heavy truck would have larger momentum.
What does momentum depend on ?Because a body's mass and velocity affect its momentum. Additionally, a large truck would have higher momentum because its mass is greater than that of a light truck.
As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity.
The highest velocity change occurs in instance B, and momentum change relies on velocity change (as stated above). Keep in mind that each of the aforementioned collisions involved a ball rebounding off a wall. Observe that the acceleration, momentum change, and impulse increase with increasing rebound effect.
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what are TWO macroscopic properties that should be considered when constructing a home in the desert?
Thermal Window Curtains and Insulation are the two macroscopic properties that should be considered when constructing a home in the desert.
What is meant by macroscopic properties ?The characteristics of bulk matter are the macroscopic characteristics of matter. These characteristics result from the arrangement of the elements that make up matter and the means by which the particles are bound together. Since these characteristics are visible to the unaided eye, taking measurements is simple. Pressure, volume, temperature, and other frequent examples of macroscopic attributes are provided below.The system's overall characteristics are referred to as the macroscopic attributes. Without having to analyze the system in terms of individual molecules, they may be viewed and quantified. Although the macroscopic objects we encounter on a daily basis have wave properties, their corresponding wavelengths are too small to be seen.Learn more about Macroscopic properties refer to :
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If a space rover has a mass of 3900 kg, then what is its weight
on Mars?
The mass of space will same as 3900 kg on earth and mars. Because mass does not change in space.
If an area rover has a mass of 3900 kg in the world, the mass on Mars when it lands could be 3900kg. The mass of an area rover is 3900 kg.
The mass of the area rover on Mars may also be identical 3900 kg due to the fact the mars is an identical amount it won't trade in line with area or time, it stays consistent. wherein as weight might be modified. The mass of the item is usually steady, anywhere it's far on earth or Moon or any other planet.
Mars is bigger than Mercury, however, it is not as dense because a smaller planet. if you weighed sixty-eight kg on earth you then might weigh 25.6 kg on Mars. due to the fact, Pluto was demoted to a dwarf planet, Mars became the planet wherein you will weigh the least. Jupiter is the biggest planet in our sun gadget with the most mass.
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A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorize the kinematic properties according to whether they are constant and zero, constant and nonzero, or not constant in value.
A ball is tied to the string and whirled in a horizontal circle at a constant 4 revolutions per second. The kinematic properties linear velocity is constant and zero, radial acceleration which is a vector is constant and non-zero, angular velocity is constant and non-zero, angular acceleration which is a vector is constant and non-zero.
A ball moving in a horizontal circle is said to possess circular motion. So, the linear velocity is zero in this case. A body undergoing circular motion has both magnitude and direction at every particular point on the path. Radial acceleration is nothing but the acceleration of the object which is directed towards the centre of the circle. A ball is said to move at a constant 4 revolutions per second which is an angular velocity, a vector quantity is constant and non-zero. Angular acceleration is a vector quantity and is a constant and non-zero.
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how to calculate final speed when the mass is 40,000kg height id 2.5km and 500,000N of force
The final speed when the mass is 40,000kg height is 2.5km and 500,000N of force is 176.8 m / s
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
a = Acceleration
m = 40000 kg
F = 500000 N
a = F / m
a = 500000 / 40000
a = 12.5 m / s²
a = v / t
v = d / t
v = Velocity
t = Time
d = Distance
d = 2.5 km = 2500 m
a = d / t²
12.5 = 2500 / t²
t² = 200
t = 14.14 s
v = 2500 / 14.14
v = 176.8 m / s
Therefore, the final speed is 176.8 m / s
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An apartment has the dimensions 18m by 9m by 6m. The temperature is 25 degree C, and the relative humidity is 54 percent. What is the total mass (in kg) of water vapor in the air in the apartment?
Answer:
Total mass: m = 12 kg
Explanation:
Given:
a = 18 m
b = 9 m
c = 6 m
t = 25°C
φ = 54%
__________
m - ?
The volume of the apartment:
V = a·b·c = 18·9·6 = 972 m³
From the table of saturated water vapor we obtain the density:
ρ₀ = 23.0 g/m³
Air humidity formula:
φ = ρ·100% / ρ₀
Water vapor density:
ρ = φ·ρ₀ / 100% = 54% · 23.0 / 100% ≈ 12.42 g/m³
Total mass:
m = ρ·V = 12.42·972 ≈ 12 070 g or m ≈ 12 kg
Answer:
381.33 kg
Explanation:
relative humidity is 54%, it means that when saturation vapor pressure is 100 pascals, partial vapor pressure is 54 pascals [taking Pascals as no unit is mentioned]
Now, using PV = nRT
⇒ [tex]PV = \frac{w}{M}RT[/tex]
⇒ [tex]w = \frac{PVM}{RT}[/tex]
here input P = 54 Pascals, V = (18*9*6)X10^3 L, T = (25+273)°K
R = 8.314 Jmol^-1K^-1, M = mass of water in kg = 18X10^-3 kg
You see a flash of lightning, and then 15 seconds later you hear thunder. How far away is the lightning?.
The lightning is 3miles far away.
The distance between the lightning strike and the thunderclouds is roughly 10 miles. The presence of thunder is a sign that a storm is approaching you if you can hear it. The air temperature in the path of a lightning strike can climb to 50,000 degrees Fahrenheit.You can figure out how far away the lightning is from you since lightning strikes instantly and thunder takes around 5 seconds to travel a mile.By calculating the seconds between the lightning flash and the sound of thunder and multiplying that number by 5, it is possible to determine the distance in miles to the lightning. 0 seconds is very close, 5 seconds is one mile, and 15 seconds is 3 miles.
Hence 3miles is a correct .
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How much work is done on the object as it moves from 0.0m to 2.0m?
The work done on the object as it moves from a distance of 0.0m to 2.0m is 40 J.
What is work done?Work done is defined as the product of the force applied and the distance moved by the force.
Work done = force * distanceThe unit of work done is Joules.
Based on the graph:
When the object moves from 0.0 m to 2.0 m
The force applied between 0.0 m to 2.0 m is 20 N
Hence, the work done will be:
Work done = 20 * 2.0
Work done = 40 J
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A copper (Young's modulus 1.1 x 1011 N/m) cylinder and a brass (Young's modulus 9.0 x 100 N/m) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.19 cm. A compressive force of F-5000 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.
Let xc for the copper cylinder, xb for the brass cylinder.
The total compression will be xc + xb
Young modulus Y of a material is given Y = FL/ADL
A = area
DL = change of length
L = original length
F = force
so here we apply the same Force for both copper and brass
so F/A = 9200/(3.14 * 0.0022* 0.0022)
F/A = 695.35 MN/m^2
For the copper cylinder:
strain = 695.35e6/(1.1e11 ) = 6.32 *10^-3
xc = strain*length = 3*6.32 e -3 = 18.96
For the brass cylinder
strain =695.35 e6/ 9.e 10 = 7.77 *10^-3
xb = 31.8
Total change in length = xb + xc = 50.76 *10^-3 cm.
The stack decreases from bottom to top when smaller items need to be removed from the stack before moving new items. Otherwise, it increases from bottom to top. For example, a mono-decreasing stack. Every time a function is called, the machine allocates stack space for that function. When a new local variable is declared, more stack space is allocated for this function to store the variable. Such allocations keep the stack low.
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