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Physics 31: Homework #2
Due Thursday, January 31, 2008
Problem A:
Use the first order Taylor approximation (1
+
²
)
n
≈
1
+
n
²
(for
²
¿
1) to simplify the
following expressions for the indicated limiting cases:
(a)
M
−
m
M
+
m
for
m
¿
M
Hint:
Factor out
M
from the numerator and denominator; that is, write
M
−
m
=
M
(1
−
m
/
M
)
and
M
+
m
=
M
(1
+
m
/
M
).
(b)
1
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This note was uploaded on 02/29/2008 for the course PHYSICS 31 taught by Professor Hickman during the Spring '07 term at Lehigh University .
 Spring '07
 Hickman
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