Answer
The amount of energy dissipated by friction is 140,000 J.
Work Step by Step
The kinetic energy at the bottom is equal to the potential energy at the top plus the work done by friction. Therefore,
$PE + Work = KE$
$Work = KE - PE$
$Work = \frac{1}{2}mv^2 - mgh$
$Work = \frac{1}{2}(66 ~kg)(11.0 ~m/s)^2 - (66 ~kg)(9.8 ~m/s^2)(230 ~m)$
$Work = -140,000 ~J$
Note that the work is negative because friction did negative work on the skier. The amount of energy dissipated by friction is 140,000 J.
