Question

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?

Answer 1

3

Explanation

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Answer 2

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`