homework 01 – FIERRO, JEFFREY – Due: Jan 18 2008, 11:00 pm
1
Question 1, chap 1, sect 1.
part 1 of 2
10 points
The rectangular and polar coordinates of a
point are (
x, y
) and (
r, θ
), where
x
= 8 and
θ
= 23
◦
.
Determine the value of r.
Correct answer: 8
.
69088
(tolerance
±
1 %).
Explanation:
The relation between rectangular and polar
coordinates is:
x
=
r
cos
θ
y
=
r
sin
θ
solving for r,
r
=
x
cos
θ
and
y
=
r
sin
θ
=
x
sin
θ
cos
θ
Question 2, chap 1, sect 1.
part 2 of 2
10 points
Determine the value of y.
Correct answer: 3
.
3958
(tolerance
±
1 %).
Explanation:
Question 3, chap 1, sect 4.
part 1 of 3
10 points
Are all molecules of a particular substance
alike?
1.
Yes
correct
2.
No
Explanation:
Molecules are the smallest division that a
substance can be divided into without chang
ing it’s physical properties.
Molecules are
alike in their makeup and shape.
They can
bend slightly and flex, but always around a
standard.
Question 4, chap 1, sect 4.
part 2 of 3
10 points
Can molecules be broken into parts?
1.
Yes
correct
2.
No
Explanation:
Molecules are clumps of atoms. In chemical
reactions molecules can rearrange and break
apart.
Question 5, chap 1, sect 4.
part 3 of 3
10 points
How big are molecules?
1.
around 10
−
10
meters in scale
correct
2.
around 10
−
6
meters in scale
3.
around 10
−
2
meters in scale
4.
around 10
2
meters in scale
Explanation:
The size of molecules are highly depen
dent on the molecule. The smallest molecules
are 10
−
10
meters in scale, and almost all are
smaller than 10
−
6
meters in any dimension.
Question 6, chap 1, sect 6.
part 1 of 2
0 points
The
Statue
of
Liberty
weighs
nearly
205 tons.
If
a
person
can
pull
an
average
of
80 kg
/
person, how many people would it take
to move the Statue of Liberty?
Correct answer: 2563
(tolerance
±
1 %).
Explanation:
Let :
w
= 205 tons
and
R
= 80 kg
/
person
.
Apply dimensional analysis:
205 tons
80 kg
/
person
×
1000 kg
1 ton
=
2563
people
.
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homework 01 – FIERRO, JEFFREY – Due: Jan 18 2008, 11:00 pm
2
Question 7, chap 1, sect 6.
part 2 of 2
10 points
The weight of the space shuttle is about
4
.
5 million pounds.
How many people would it take to move it?
Correct answer: 25569
(tolerance
±
1 %).
Explanation:
Let :
w
= 4
.
5
×
10
6
lb
.
4
.
5
×
10
6
lb
80 kg
/
person
×
1 kg
2
.
2 lb
×
1
80 kg
/
person
=
25569
people
.
So it would take about 25569 people to
move the Statue of Liberty.
Question 8, chap 1, sect 6.
part 1 of 1
10 points
Identify the equation below which is dimen
sionally
incorrect
.
A, x, y
and
r
have units of length.
k
here
has units of inverse length.
v
0
and
v
have units
of velocity.
a
and
g
have units of acceleration.
ω
has units of inverse time.
t
is time,
m
is
mass,
V
is volume,
ρ
is density, and
F
is force.
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 Spring '08
 Turner
 Work, Correct Answer, Orders of magnitude, Pallavolo Modena

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