A 100-m long ski lift carries skiers from a station at the foot of a slope to a second station 40 m above. What is the IMA of the lift?
40

Explanation:

The ideal mechanical advantage of a slope is given by the ratio between the output load, which is simply the weight of the object (Fw), and the input force Fi applied to move the object along the slope:

ima= {Fw}÷{Fi},

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 ll , i.e.

Fw h = Fi L

From this we find

{Fw}÷{Fi} = {L}÷{h}

Therefore, we can substitute this into the formula of the ideal mechanical advantage and calculate its value:

ima= {L}÷{h} = {100m}÷{40m}=2.5

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