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So yeah, while watching a walkthrough for Puyo Puyo Box, I saw something nobody accounted for. Apparently, Arle can actually push boulders!: https://youtu.be/ZYvAZdw5I64?t=517

Of course I decided to take up the opportunity to calculate how powerful that feat is. Of course it would only apply to lifting strength, but whatever.

Arle Pushing Boulder

Now, if you take a good look on the right, you can see how big the boulder was. Arle herself is 83 pixels tall. The boulder, on the other hand, was 55 pixels tall, 90 pixels wide, and apparently 47 pixels across.

Arle's height was 158 cm, so we'll go off that.

Arle's Height: 83 px; 158 cm

Boulder Height: 55 px; 104.6988 cm

Boulder Depth: 47 px; 89.4699 cm

Boulder Length: 90 px; 171.3253 cm

That being said, the boulder is obviously a box-shaped object, which has the easiest-to-calulate, well, anything. Of course we wanna find the volume of the boulder first. Given what we got, we simply have to put the length, width, and height to get a volume of 1604870.6718 cm­³. That's pretty big by normal standards.

From what I've found, caves are mostly made of limestone, so I shall use the density of limestone for this. According to ThoughtCo, the density of limestone is 2.3 to 2.7 g/cm³.: https://www.thoughtco.com/densities-of-common-rocks-and-minerals-1439119

This should put the mass of the boulder anywhere from 3691202.5451 to 4333150.8138 grams, or 3691.2025 to 4333.1508 kilograms! No wonder why Arle beast-moded a bunch of doors away. But wait! Arle PUSHED the boulders! She didn't lift them! Well, both pushing AND lifting require force. Pushing, however, requires that we make use of a friction coefficient, which varies depending on the materials used. The best thing I can find for rock would be the friction coefficient for hard rock against hard rock, which was 0.55 according to this.: https://structx.com/Material_Properties_007.html

Why is this needed, you ask? Well, the force required to push an object is actually m*g*f, where m is the mass of an object, g is the acceleration of gravity (9.80665 m/s²), and f is the friction coefficient. On the lower end, we get this:

Mass: 3691.2025 kg

Acceleration: 9.80665 m/s²

Friction Coefficient: 0.55

Force: 3691.2025*9.80665*0.55=19909.0823 Newtons

This would equate to 19909.0823 Newtons, or 2030.1614 kg of force. On the higher end, we got the following:

Mass: 4333.1508 kg

Acceleration: 9.80665 m/s²

Friction Coefficient: 0.55

Force: 4333.1508*9.80665*0.55=23371.5314 Newtons

That would be about 23371.5314 Newtons, or 2383.2329 kg of force. It seems pretty clear that Arle's lifting strength is Class 5! Talk about an upgrade. But yeah, there you have it. Arle's stronger than we've expected.

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