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- Temperature, kinetic theory,
- Thermal expansion of solids and
Liquids and solids expand with increasing temperature, because the kinetic energy of a body’s atoms and molecules increases. Explain why some materials
shrink with increasing temperature.
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Problems&Exercises
The height of the Washington Monument is measured to be 170 m on a day when the temperature is
. What will its height be on a day when the temperature falls to
? Although the monument is made of limestone, assume that its thermal coefficient of expansion is the same as marble’s.
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How much taller does the Eiffel Tower become at the end of a day when the temperature has increased by
? Its original height is 321 m and you can assume it is made of steel.
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What is the change in length of a 3.00-cm-long column of mercury if its temperature changes from
to
, assuming the mercury is unconstrained?
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How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature
greater than when they were laid? Their original length is 10.0 m.
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You are looking to purchase a small piece of land in Hong Kong. The price is “only” $60,000 per square meter! The land title says the dimensions are
By how much would the total price change if you measured the parcel with a steel tape measure on a day when the temperature was
above normal?
Because the area gets smaller, the price of the land DECREASES by
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Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of
Note that this calculation is only approximate because ocean warming is not uniform with depth.
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Show that 60.0 L of gasoline originally at
will expand to 61.1 L when it warms to
as claimed in
[link] .
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(a) Suppose a meter stick made of steel and one made of invar (an alloy of iron and nickel) are the same length at
. What is their difference in length at
? (b) Repeat the calculation for two 30.0-m-long surveyor’s tapes.
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(a) If a 500-mL glass beaker is filled to the brim with ethyl alcohol at a temperature of
how much will overflow when its temperature reaches
? (b) How much less water would overflow under the same conditions?
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Most automobiles have a coolant reservoir to catch radiator fluid that may overflow when the engine is hot. A radiator is made of copper and is filled to its 16.0-L capacity when at
What volume of radiator fluid will overflow when the radiator and fluid reach their
operating temperature, given that the fluid’s volume coefficient of expansion is
? Note that this coefficient is approximate, because most car radiators have operating temperatures of greater than
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A physicist makes a cup of instant coffee and notices that, as the coffee cools, its level drops 3.00 mm in the glass cup. Show that this decrease cannot be due to thermal contraction by calculating the decrease in level if the
of coffee is in a 7.00-cm-diameter cup and decreases in temperature from
to
(Most of the drop in level is actually due to escaping bubbles of air.)
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(a) The density of water at
is very nearly
(it is actually
), whereas the density of ice at
is
. Calculate the pressure necessary to keep ice from expanding when it freezes, neglecting the effect such a large pressure would have on the freezing temperature. (This problem gives you only an indication of how large the forces associated with freezing water might be.) (b) What are the implications of this result for biological cells that are frozen?
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Show that
by calculating the change in volume
of a cube with sides of length
We know how the length changes with temperature:
. Also we know that the volume of a cube is related to its length by
, so the final volume is then
. Substituting for
gives
Now, because
is small, we can use the binomial expansion:
So writing the length terms in terms of volumes gives
and so
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Questions & Answers
it is the relatively stable flow of income
what is circular flow of income
branches of macroeconomics
what is Flexible exchang rate?
is gdp a reliable measurement of wealth
introduction to econometrics
Why is unemployment rate never zero at full employment?
bcoz of existence of frictional unemployment in our economy.
Umashankar
what is flexible exchang rate?
poudel
due to existence of the pple with disabilities
Abdulraufu
the demand of a good rises, causing the demand for another good to fall
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Waeth
discus major problems of macroeconomics
what is the problem of macroeconomics
Yoal
Economic growth
Stable prices
and low unemployment
Ephraim
explain inflationcause and itis degre
increase in general price levels
WEETO
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
how to calculate actual output?
Chisomo
how to calculate the equilibrium income
Beshir
Criteria for determining money supply
who we can define macroeconomics in one line
Muhammad
Aggregate demand
Mohammed
C=k100 +9y and i=k50.calculate the equilibrium level of output
nawalparasi district
from belatari
Amisha
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.
if interest rate is increased this will will reduce the level of income shifting the curve to the left ◀️
Kalombe
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Source:
OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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