Final answer:
The work done by the net external force acting on the skier is 2172.176 J.
Step-by-step explanation:
The work done by a net external force can be calculated using the formula:
W = ½m(vf2 - vi2)
where W is the work done, m is the mass of the object, vf is the final velocity, and vi is the initial velocity.
Plugging in the given values:
W = ½(84.6 kg)((11.2 m/s)2 - (5.8 m/s)2)
W = 2172.176 J
Therefore, the work done by the net external force acting on the skier is 2172.176 J.