pavlyukovskyy (mp24573) – Physics 1710 Homework 1 – Weathers – (17104)
1
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printout
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have
9
questions.
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001
10.0 points
The
mass
of
the
planet
Saturn
is
5
.
64
×
10
26
kg and its radius is 6
×
10
7
m.
Calculate its density.
Answer in units of
kg
/
m
3
.
002
10.0 points
This problem shows how dimensional analysis
helps us check and sometimes even find a
formula.
A rope has a cross section
A
= 10
.
3 m
2
and
density
ρ
= 2010 kg
/
m
3
. The “linear” density
of the rope
μ
, defined to be the mass per unit
length, can be written in the form
μ
=
ρ
x
A
y
.
Based on dimensional analysis, determine
the powers
x
and
y
by choosing an expression
below.
1.
μ
=
ρ
A
2
2.
μ
=
ρ
A
3.
μ
=
ρ A
4.
μ
=
A
ρ
2
5.
μ
=
ρ A
2
6.
μ
=
1
ρ A
7.
μ
=
A
ρ
8.
μ
=
1
ρ A
2
9.
μ
=
A
2
ρ
10.
μ
=
A
2
ρ
2
003
10.0 points
A light year is the unit of distance that light,
with a speed of 2
.
99792
×
10
8
m
/
s, travels in
one year.
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 Spring '08
 Forde
 Acceleration, Velocity

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