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chaney (glc568) – Vectors and 2D Motion – murthy – (21118)
1
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the next column or page – fnd all choices
beFore answering.
001
10.0 points
Which oF the Following are scalar quantities,
which are vector quantities?
a) velocity.
b) age.
c) speed.
d) acceleration.
e) temperature.
1.
Vector: velocity; Scalars: age, tempera
ture, speed, acceleration
2.
All are vectors.
3.
Vectors: velocity, acceleration; Scalars:
age, temperature, speed
correct
4.
Vectors:
age,
temperature,
speed;
Scalars: velocity, acceleration
5.
All are scalars.
Explanation:
Speed is a measure oF how Fast something
moves, measured by a unit oF distance divided
by a unit oF time; a scalar quantity. Velocity
is specifed by describing both speed and the
direction oF motion; a vector quantity. Age
is a measure oF how long something exists;
a scalar quantity. Acceleration is defned as
changes in velocity divided by a certain time
interval; a vector quantity since velocity is a
vector quantity. Temperature is the quantity
that tells how warm or cold an object is with
respect to some standard; a scalar.
002
10.0 points
Two airplanes leave an airport at the same
time.
The velocity oF the frst airplane is
750 m
/
h at a heading oF 52
.
5
◦
. The velocity
oF the second is 580 m
/
h at a heading oF 90
◦
.
How Far apart are they aFter 1
.
3 h?
Correct answer: 593
.
863 m.
Explanation:
Let :
v
1
= 750 m
/
h
,
θ
1
= 52
.
5
◦
,
v
2
= 580 m
/
h
,
and
θ
2
= 90
◦
.
Under constant velocity, the displacement
For each plane in the time
t
is
d
=
v t.
These displacements Form two sides oF a tri
angle with the angle
α
=
θ
2
−
θ
1
= 37
.
5
◦
between them. The law oF cosines applies For
‘SAS’, so the distance between the planes is
d
=
r
d
2
1
+
d
2
2
−
2
d
1
d
2
cos
α .
Since
2
d
1
d
2
cos
α
= 2 (975 m) (754 m) cos 37
.
5
◦
= 1
.
16647
×
10
6
m
2
,
then
d
=
b
(975 m)
2
+ (754 m)
2
−
1
.
16647
×
10
6
m
2
B
1
/
2
= 593
.
863 m
.
003
10.0 points
A vector oF magnitude 3 CANNOT be added
to a vector oF magnitude 4 so that the magni
tude oF the resultant is
1.
3.
2.
1.
3.
5.
4.
0.
correct
5.
7.
Explanation:
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View Full Documentchaney (glc568) – Vectors and 2D Motion – murthy – (21118)
2
The smallest magnitude of the resultant
occurs when the vectors are antiparallel
(
R
= 1); the largest occurs when they are
parallel (
R
= 7). Therefore all listed values
are possible except
R
= 0.
004
(part 1 of 2) 10.0 points
Two points in the
xy
plane have cartesian
coordinates (
x
1
, y
1
) and (
x
2
, y
2
), where
x
1
=
7
.
2 m,
y
1
=
−
10 m,
x
2
=
−
10 m, and
y
2
=
4
.
5 m.
Determine the distance between these
points.
Correct answer: 22
.
4964 m.
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 Spring '08
 MURTHY

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