fryer (vdf96) – Assignment 1.5 Force and Vectors – graves – (6)
1
This
printout
should
have
13
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
This assignment was originally due on 914
08.
001
10.0points
Which of the following is a vector quantity?
1.
mass
2.
None of these
correct
3.
temperature
4.
density
5.
speed
Explanation:
A vector is a quantity with both magni
tude and direction.
Temperature, density,
and mass do not have direction, so they are
scalars.
Speed, by definition, is the magni
tude of velocity (which is a vector), so it is
also a scalar.
002
10.0points
When two vectors sum to zero, how must they
be related?
1.
The magnitudes are different; the direc
tions are opposite.
2.
All are wrong.
3.
The magnitudes are different; the direc
tions are the same.
4.
The magnitudes are the same; the direc
tions are opposite.
correct
5.
Both magnitude and direction are the
same.
Explanation:
The magnitudes are the same, and the di
rections are opposite.
003
10.0points
A person walks 25 m west and then 45 m at
an angle of 60
◦
north of east.
What is the magnitude of the total dis
placement?
1.
56.3 m
2.
26.5 m
3.
43.6 m
4.
31.0 m
5.
61.4 m
6.
40.9 m
7.
45.7 m
8.
39.1 m
correct
9.
60.2 m
10.
67.8 m
Explanation:
Let :
d
1
= 25 m
at
θ
1
= 180
◦
and
d
2
= 45 m
at
θ
2
= 60
◦
.
d
x
=
d
1
+
d
2
cos
θ
2
=
−
25 m + (45 m) cos 60
◦
=
−
2
.
5 m
and
d
y
=
d
2
sin
θ
2
= (45 m) sin 60
◦
= 38
.
9711 m
,
so
d
=
radicalBig
d
2
x
+
d
2
y
=
radicalBig
(
−
2
.
5 m)
2
+ (38
.
9711 m)
2
= 39
.
0512 m
.
004
10.0points
A hiker makes four straightline walks
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fryer (vdf96) – Assignment 1.5 Force and Vectors – graves – (6)
2
A
13 km
at
89
◦
B
11 km
at
122
◦
C
21 km
at
329
◦
D
19 km
at
45
◦
Which vector diagram best represents this
hike?
All angles are measured in a counter
clockwise direction from the positive
x
axis.
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 Fall '10
 Graves
 Physics, Vector Space, Force, Clockwise, fryer

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