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A 120-meter-long ski lift carries skiers from a station at the foot of a slope to a second station 40m above. what is the ima of the lift?

User Tsafrir
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2 Answers

4 votes

Answer:

3

Explanation

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User Sergej Herbert
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5 votes
The ideal mechanical advantage of a slope is given by the ratio between the output load, which is simply the weight of the object (
F_w), and the input force
F_i applied to move the object along the slope:

ima= (F_w)/(F_i)

The energy conservation law states that the potential energy of the object when it reaches the final height h is equal to the work done to move the object along the distance of the slope
l, i.e.

F_w h = F_i l
From this we find

(F_w)/(F_i) = (l)/(h)
Therefore, we can substitute this into the formula of the ideal mechanical advantage and calculate its value:

ima= (l)/(h) = (120~m)/(40~m)=3
User SaviNuclear
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