louey (cal2859) – Ch1H1 – forin – (56930)
1
This printout should have 30 questions.
Multiplechoice questions may continue on
the next column or page – Fnd all choices
be±ore answering.
001 (part 1 of 7) 3.0 points
A proton is located at:
a
3
×
10
−
10
m
,
−
9
×
10
−
10
m
,
8
×
10
−
10
m
A
.
²ind
vr
, the location o± the proton ±rom the
origin where
=
a
r
x
, r
y
, r
z
A
.
What is
r
x
in meters?
Your answer must be within
±
5.0%
Correct answer: 3
×
10
−
10
m.
Explanation:
The position o± the proton is the vector
±rom the origin to the location o± the proton.
In this case:
a
3
×
10
−
10
m
,
−
9
×
10
−
10
m
,
8
×
10
−
10
m
A
002 (part 2 of 7) 3.0 points
What is
r
y
in meters?
Your answer must be within
±
5.0%
Correct answer:
−
9
×
10
−
10
m.
Explanation:
The position o± the proton is the vector
±rom the origin to the location o± the proton.
In this case:
a
3
×
10
−
10
m
,
−
9
×
10
−
10
m
,
8
×
10
−
10
m
A
003 (part 3 of 7) 3.0 points
What is
r
z
in meters?
Your answer must be within
±
5.0%
Correct answer: 8
×
10
−
10
m.
Explanation:
The position o± the proton is the vector
±rom the origin to the location o± the proton.
In this case:
a
3
×
10
−
10
m
,
−
9
×
10
−
10
m
,
8
×
10
−
10
m
A
004 (part 4 of 7) 2.0 points
What is


in meters?
Your answer must be within
±
5.0%
Correct answer: 1
.
24097
×
10
−
9
m.
Explanation:
The magnitude o±
is ±ound by:


=
r
r
2
x
+
r
2
y
+
r
2
z
where:
r
x
= 3
×
10
−
10
m
r
y
=
−
9
×
10
−
10
m
r
z
= 8
×
10
−
10
m
there±ore:


= 1
.
24097
×
10
−
9
m
005 (part 5 of 7) 3.0 points
What is ˆ
r
x
, the
x
component o± the unit vector
in the direction o±
?
Your answer must be within
±
5.0%
Correct answer: 0
.
241747.
Explanation:
The unit vector has the ±orm:
ˆ
r
=


.
This means that the
x
component o± the unit
vector is:
ˆ
r
x
=
r
x


=
3
×
10
−
10
m
1
.
24097
×
10
−
9
m
= 0
.
241747
006 (part 6 of 7) 3.0 points
What is ˆ
r
y
, the
y
component o± the unit vector
in the direction o±
?
Your answer must be within
±
5.0%
Correct answer:
−
0
.
725241.
Explanation:
The unit vector has the ±orm:
ˆ
r
=


.
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View Full Documentlouey (cal2859) – Ch1H1 – forin – (56930)
2
This means that the
y
component oF the unit
vector is:
ˆ
r
y
=
r
y

vr

=
−
9
×
10
−
10
m
1
.
24097
×
10
−
9
m
=
−
0
.
725241
007 (part 7 of 7) 3.0 points
What is ˆ
r
z
, the
z
component oF the unit vector
in the direction oF
?
Your answer must be within
±
5.0%
Correct answer: 0
.
644658.
Explanation:
The unit vector has the Form:
ˆ
r
=


.
This means that the
z
component oF the unit
vector is:
ˆ
r
z
=
r
z


=
8
×
10
−
10
m
1
.
24097
×
10
−
9
m
= 0
.
644658
008 (part 1 of 5) 10.0 points
A planet is located at
v
P
=
a−
2
×
10
10
,
4
×
10
10
,
−
2
×
10
10
A
.
A star is located at
v
S
=
a
3
×
10
10
,
−
3
×
10
10
,
5
×
10
10
A
.
What is
v
R
, the vector pointing From the planet
to the star?
1.
v
R
=
a
8
×
10
10
,
−
1
.
2
×
10
11
,
6
×
10
10
A
2.
v
R
=
a
3
×
10
10
,
−
9
×
10
10
,
5
×
10
10
A
3.
v
R
=
a
5
×
10
10
,
−
7
×
10
10
,
7
×
10
10
A
cor
rect
4.
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 Spring '08
 Turner
 Pythagorean Theorem, Vector Space, Cartesian Coordinate System, René Descartes, Correct Answer

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