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8
Physics and Measurement
*P1.24
(a)
Length of Mammoth Cave
=
F
H
G
I
K
J
==
×
=
×
348
1609
1
560
5 60 10
5 60 10
57
mi
km
mi
km
m
cm
.
..
.
(b)
Height of Ribbon Falls
=
F
H
G
I
K
J
=
×
1612
0
1
491 m 0 491
4 91 10
4
ft
.304 8 m
ft
km
cm
.
(c)
Height of Denali
=
F
H
G
I
K
J
×
=
×
20 320
0
1
6
6 19 10
6 19 10
35
ft
.304 8 m
ft
.19 km
m
cm
.
(d)
Depth of King’s Canyon
=
F
H
G
I
K
J
×
=
×
8200
0
1
2
2 50 10
2 50 10
ft
.304 8 m
ft
.50 km
m
cm
.
P1.25
From Table 1.5, the density of lead is
113 10
4
.
k
g
m
3
×
, so we should expect our calculated value to
be close to this number. This density value tells us that lead is about 11 times denser than water,
which agrees with our experience that lead sinks.
Density is defined as mass per volume, in
ρ
=
m
V
. We must convert to SI units in the calculation.
=
F
H
G
I
K
J
F
H
G
I
K
J
=×
23 94
210
1
1000
100
1
114 10
3
3
4
.
.
g
cm
kg
g
cm
m
k
g
m
3
At one step in the calculation, we note that
one million
cubic centimeters make one cubic meter. Our
result is indeed close to the expected value. Since the last reported significant digit is not certain, the
difference in the two values is probably due to measurement uncertainty and should not be a
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .
 Fall '11
 Staff
 Physics

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