How Can Momentum and Simple Machines Crush a Juice Box?

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To crush a juice box using minimal force and maximum distance, the discussion emphasizes utilizing momentum through simple machines like gears and levers. Gravity cannot be intentionally applied, and the design must rely on mechanical advantage without electricity. Participants suggest using wood and rope to create gears, while considering heavy objects and potential energy sources like a flywheel. The idea of constructing a nutcracker mechanism is also proposed as a viable solution. Overall, the focus is on maximizing efficiency and mechanical advantage in the design process.
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Homework Statement


I have to crush a juice box using minimum force but plenty of distance and i must use three different types of items from gears to levers and anywhere between.
for this i decided to use momentum to crush it. gravity must not be intentionally used.
Mechanical advantage should be as high as possible and there can be no electricity or thing of the sort.
I have wood and rope and heavy items and i am able to cut the wood to form gears but not exact teeth.

Homework Equations


How would i do this? ( I'm thinking gears and spinning an item attached to a rope)
How long would it take?
What else would i need?
How big?
How would i figure out the mechanical advantage?

The Attempt at a Solution


Gears and string with heavy object is what I am thinking.
 
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Elastics, springs, heavy flywheel/rotating object? You need some form of energy source, something that can do work.
 
That would be me i am supposed to move something constantly.
 
You could try constructing a nutcracker to squash the box.
 
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