How Can Momentum and Simple Machines Crush a Juice Box?

[begginner]

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.

 

[Basic_Physics]

Elastics, springs, heavy flywheel/rotating object? You need some form of energy source, something that can do work.

 

[begginner]

That would be me i am supposed to move something constantly.

 

[Basic_Physics]

You could try constructing a nutcracker to squash the box.

 

[Nickie]

I would suggest the following approach to crushing a juice box using momentum:

1. First, we need to understand the concept of momentum. Momentum is the product of an object's mass and velocity, and it is a measure of the object's motion. In this case, the juice box has a certain mass, and we need to give it a certain velocity in order to crush it.

2. We also need to understand the concept of mechanical advantage. This is the measure of how much a simple machine amplifies the input force. In this case, we need to use simple machines such as gears and levers to increase the force applied to the juice box.

3. Now, let's consider the materials we have - wood, rope, and heavy items. We can use the wood to create gears and the rope to connect the gears to a heavy item. This will create a simple machine called a pulley. By pulling on the rope, we can create a greater force on the juice box, thus increasing the momentum.

4. To increase the mechanical advantage, we can use multiple gears in our pulley system. The more gears we use, the greater the mechanical advantage will be. We can also try to use gears with different sizes, which will further increase the mechanical advantage.

5. It is important to note that we should not use gravity intentionally to crush the juice box, as it goes against the given conditions of the problem.

6. To determine the time it would take to crush the juice box, we can use the equation for momentum, p = mv, where p is momentum, m is mass, and v is velocity. By rearranging the equation, we can calculate the velocity needed to crush the juice box in a certain amount of time.

7. In terms of size, the gears and pulley system should be large enough to fit the juice box and the heavy item, but not so large that it becomes difficult to operate.

8. Finally, to figure out the mechanical advantage, we can use the equation MA = output force/input force. In this case, the input force would be the force applied to the rope, and the output force would be the force needed to crush the juice box. By increasing the number of gears and using gears with different sizes, we can increase the mechanical advantage.

In conclusion, by using gears and a pulley system, we can effectively use momentum to crush the juice box with minimum force. The size and mechanical