alexander (jra2623) – homework 01 – Turner – (92510)
1
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printout
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have
6
questions.
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before answering.
001
10.0 points
The
mass
of
the
planet
Saturn
is
about
5
.
64
×
10
26
kg and its radius 6
×
10
7
m.
Calculate its density.
Correct answer: 623
.
357 kg
/
m
3
.
Explanation:
Let :
M
= 5
.
64
×
10
26
kg
and
R
= 6
×
10
7
m
.
Assuming Saturn to be a sphere (neglecting
the rings),
V
=
4
3
π R
3
,
so the density of Saturn is
ρ
=
M
V
=
M
4
3
π R
3
=
3 (5
.
64
×
10
26
kg)
4
π
(6
×
10
7
m)
3
=
623
.
357 kg
/
m
3
.
002
(part 1 of 4) 10.0 points
It is given that
r
and
s
are distances with unit
[L],
t
is a time with unit [T] and
θ
is an angle
in radians.
Find the dimensions for the quantity
c
in
the expression
s
=
c t .
1.
[
c
]=[T]
2.
[
c
]=[L]
3.
[
c
]=[L
2
]
4.
[
c
]=[L] [T]
5.
[
c
]=[L] [T
2
]
6.
[
c
]=[T]/[L]
7.
[
c
]=1/[T]
8.
[
c
]=[L]/[T]
correct
9.
[
c
]=1/[L]
10.
[
c
]=[L]/[T
2
]
Explanation:
c
=
s
t
[
c
] =
[
s
]
[
t
]
= [L]
/
[T]
.
003
(part 2 of 4) 10.0 points
Find the dimensions for the quantity
c
in the
expression
s
=
c t
2
.
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 Summer '08
 Kaplunovsky
 Trigonometry, Mass, Work, 5.0%, 60 min, 107 m, 365.25 days, =1/

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