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21. We introduce the notion of density:
ρ
=
m
V
and convert to SI units: 1 g = 1
×
10
−
3
kg.
(a) For volume conversion, we find 1 cm
3
= (1
×
10
−
2
m)
3
= 1
×
10
−
6
m
3
. Thus, the density
in kg/m
3
is
33
3
36
3
1 g
10
kg
cm
1g cm
1 10 kg m .
cm
g
10
m
−
−
§·
§
·
==
×
¨¸
¨
¸
©¹
©
¹
Thus, the mass of a cubic meter of water is 1000 kg.
(b) We divide the mass of the water by the time taken to drain it. The mass is found from
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This note was uploaded on 09/03/2009 for the course PHYS 1200 taught by Professor Stoler during the Spring '06 term at Rensselaer Polytechnic Institute.
 Spring '06
 Stoler
 Physics

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