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Physics 153 Assignment 8
Due Friday November 10, 2006 by 5:30pm
1. Three 10
,
000
kg
ore cars are held at rest on a 30
◦
incline on a mine railway using a cable
that is parallel to the incline. The cable is observed to strech 15
cm
just before the coupling
between the lower two cars breaks, detaching the lowest car. Assuming the cable obeys
Hook’s law. Find (a) the frequency and (b) the amplitude of the resulting oscillations of
the remaining two cars.
2. A 4
.
0
kg
block is suspended from a spring with force constant of 500
N/m
. A 50
g
bullet
is ﬁred into the block from directly below with a speed of 150
m/s
and is imbedded in the
block. (a) Find the amplitude of the resulting simple harmonic motion. (b) What fraction
of the original kinetic energy of the bullet appears as mechanical energy in the harmonic
oscillation?
3. Assume that you are examining the characteristics of the suspension system of a 2000
kg
automobile. The suspension “sags” 10
cm
when the weight of the entire automobile is placed
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 Spring '08
 goatman
 Physics

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