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5. We denote the mass of the father as
m
and his initial speed
v
i
. The initial kinetic energy
of the father is
KK
i
=
1
2
son
and his final kinetic energy (when his speed is
v
f
=
v
i
+ 1.0 m/s) is
f
=
son
. We use
these relations along with Eq. 71 in our solution.
(a) We see from the above that
if
=
1
2
which (with SI units understood) leads to
()
2
2
11
1
1.0 m/s
22
2
ii
mv
m v
ªº
=+
«»
¬¼
.
The mass cancels and we find a seconddegree equation for
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 Spring '08
 Any
 Physics, Energy, Kinetic Energy, Mass

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