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000
00
6
66
2.54000cm 2.54508cm (2.54508cm)(23 10 /C )(100.0 C)
(2.54508cm)(23 10 / C ) (2.54000cm) (17
10 /C°)
50.38 C.
rss
a
i
f
sa
rc
DDDT
T
DD
α
αα
−
−−
−+
=
−
×
°
°
=
×°
−
×
=°
The expansion coefficients are from Table 182 of the text. Since the initial temperature
of the ring is 0°C, the heat it absorbs is
,
crf
Qc
m
T
=
where
c
c
is the specific heat of
copper and
m
r
is the mass of the ring. The heat rejected up by the sphere is
()
as i
f
mTT
=−
where
c
a
is the specific heat of aluminum and
m
s
is the mass of the sphere. Since these
two heats are equal,
,
f
cmT
cm T
T
we use specific heat capacities from the textbook to obtain
3
(386J/kg K)(0.0200kg)(50.38 C)
8.71 10 kg.
(
)
(900J/kg K)(100 C 50.38 C)
s
ai
f
m
cT T
−
⋅°
==
=
×
−⋅
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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