P16_032.PDF

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Chapter 16 - 16.32
32. (a) The energy at the turning point is all potential energy: E = 2 kx 2 m where E =1 . 00 J and x m =
0 . 100 m. Thus,
k = 2 E
x 2 m
= 200 N / m .
(b) The energy as the block passes through the equilibrium position (with speed v m =1 . 20 m/s)is
purely kinetic:
E = 1
2 mv 2 m = m = 2 E
v 2 m
=1 . 39 kg .
(c) Eq. 16-12 (divided by 2 π ) yields
k
m =1 . 91 Hz .
f =
1
2 π
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