Answer :
The amount of work done by friction on the skier is approximately 17,947.54 Joules.
To find the work done by friction on the skier, we can use the work-energy principle. The work-energy principle states that the work done on an object is equal to the change in its kinetic energy.
In this case, the skier starts from rest, so their initial kinetic energy is zero. The final kinetic energy can be calculated using the formula:
KE = (1/2)mv^2
where m is the mass of the skier and v is their final velocity.
Given that the skier has a mass of 28 kg and a final velocity of 25.3 m/s, we can calculate the final kinetic energy:
KE = (1/2)(28 kg)(25.3 m/s)^2
Simplifying the equation gives us:
KE ≈ 17,947.54 J
Since the initial kinetic energy is zero, the change in kinetic energy is equal to the final kinetic energy. Therefore, the work done by friction on the skier is also 17,947.54 J.
So, the amount of work done by friction on the skier is approximately 17,947.54 Joules.
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