oldfnal 02 – PAPAGEORGE, MATT – Due: May 6 2008, 4:00 am
1
Question 1, chap 1, sect 6.
part 1 oF 1
10 points
Needing
help,
the
secretary
oF
the
United States Department oF Agriculture
asked your teacher, “IF a chickenanda
halF can lay an eggandahalF in a day
andahalF, how many days will it take
three chickens to lay thirtytwo eggs?”
Please help your teacher select the correct
answer to the secretary’s question.
1.
Three chickens will lay thirtytwo eggs in
fFteen days.
2.
Three chickens will lay thirtytwo eggs in
six days.
3.
Three chickens will lay thirtytwo eggs in
twentyFour days.
4.
Three chickens will lay thirtytwo eggs in
Fourteen days.
5.
Three chickens will lay thirtytwo eggs in
ten days.
6.
Three chickens will lay thirtytwo eggs in
nine days.
7.
Three chickens will lay thirtytwo eggs in
twentyone days.
8.
Three chickens will lay thirtytwo eggs in
twentytwo days.
9.
Three chickens will lay thirtytwo eggs in
sixteen days.
correct
10.
Three chickens will lay thirtytwo eggs in
eighteen days.
Explanation:
Basic Concept:
The inFormation given
in the question is the rate oF egg production
in one instance and you must make this rate
compatible with another instance. The rate
oF egg production is constant. The number oF
eggs per chicken per day is a constant.
Solution:
Since it takes a chickenandahalF
a dayandahalF to lay an eggandahalF, it
will take one chicken oneandahalF days to
lay one egg. ThereFore, to lay thirtytwo eggs
it will take three chickens sixteen days.
Alternative Method:
Unit analysis is
basic to every physics problem and is central
to this problem. The rate oF egg production is
the number oF eggs produced per chicken per
day. In the given instance the rate is
rate =
{
3
/
2 eggs
}
{
3
/
2 chickens
}{
3
/
2 days
}
=
2
3
eggs
chickens
·
days
.
(1)
In the requested instance, the number oF
chickens is (3 chickens) and the number oF
eggs is (32 eggs). The number oF days
N
is
to be determined. ThereFore in the requested
instance, the rate is
rate =
{
32 eggs
}
{
3 chickens
} {N}
.
(2)
The rate is constant, so equating the rates
Eqs. (1) and (2), we have
2 eggs
3 chicken
·
days
=
32 eggs
3 chickens
·N
Solving For the number oF days
N
, we have
N
=
32 eggs
3 chickens
3 chickens
·
days
2 eggs
=
16 days
.
The correct answer: “Three chickens will lay
thirtytwo eggs in sixteen days.”
Note:
The early chicken catches the worm.
Question 2, chap 14, sect 3.
part 1 oF 1
10 points
A weight (with a mass oF 39 kg) is sus
pended From a point near the righthand up
per end oF a uniForm boom whose mass is
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2
23 kg
.
Supporting this boom are a cable run
ing From this same point on the boom to a
point on the wall (the leFthand vertical coor
dinate at a height oF 9
.
5 m) and a pivot (at
the origin oF the coordinate axes) on the same
wall.
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 Spring '10
 SHIH
 Acceleration, Friction, Mass, Correct Answer, Orders of magnitude

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