A80 kg skier grips a moving rope that is powered by an engine and is pulled at constant speed to the top of a 25 degrees hill. the skier is pulled a distance = 220 m along the incline and it takes 2.3min to reach the top of the hill.
if the coefficient of kinetic friction between the snow and skis is = 0.15, what horsepower engine is required if 30 such skiers (max) are on the rope at one time?

Explanation:

Given that:

Now, force normal to the inclined plane:

Frictional force:

The component of weight along the inclined plane:

Now the total force required along the inclination to move at the top of hill:

Hence the work done:

Now power:

So, power required for 30 such bodies:

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