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A 26-kg skier starts from rest at the top of a rough (not frictionless) 36° slope and travels 182 m along the slope, acquiring a speed of 27.2 m/s along the way.

How much work is done by friction on the skier?

Answer :

Final answer:

Work caused by friction on the skier is calculated by subtracting the work done by gravity from the total work done on the skier.

Explanation:

It's important to start by understanding the concept of friction in this scenario. In the case of the skier moving down the slope, friction functions as a form of work opposing the skier's motion. This is in contrast to the gravitational force accelerating the skier down the slope. The work done by friction can be calculated using the formula: Work = Friction x Distance.

To find the work done by friction on the skier, we need to determine the total work done on the skier first, then subtract the work done by gravity. The work done on the skier is the change in kinetic energy, which is 0.5 x mass x velocity^2. Also, the work done by gravity equals to mass x gravitational acceleration x distance x sine of the angle. Therefore, the work done by friction equals to the difference between the work done by gravity and the total work done on the skier.

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