Homestuck calcs

Introduction

I'm going to calculate the following things:

• Dave breaking Derse's chain.
• John drills a hole in the battlefield.
• The meteor that fell in Jade's island.

First Calc

Derse's Moon mass

First, I am going to determine it's size by comparing it to Derse itself.

At most, Derse is comparable in size to a land. And acording to the commentary of Homestuck's Book 3:

• "...These "lands," of course, are fairly small planets. Hard to say how big exactly. I don't think I ever really did any due diligence on the cosmological scale of these bodies. They're big enough to explore and get lost in but not so huge as to be hopelessly unchartable. I guess I always pictured them being like a small state in the US. Like if Rhode Island or Connecticut were wrapped around a sphere."

So sphere calculator for radius:

Using Rhode Island: 15807.4 m

Using Connecticut: 33800.8 m

Derse's moon radius (Using Rhode Island): (15807.4/265)*78 = 4652.744150943 meters

Derse's moon radius (Using Connecticut): (33800.8/265)*78 = 9948.914716981 meters

Now, Derse's Moon seems to have the same gravity as Earth (Do not ask me how that works), so:

Using Rhode Island:
g = G * M / r²

9.81 = (6.67 * 10⁻¹¹) * M / 4652.744150943²

(9.81*4652.744150943²)/(6.67 * 10⁻¹¹) = 3.1839154e+18kg

Using Connecticut:
g = G * M / r²

9.81 = (6.67 * 10⁻¹¹) * M / 9948.914716981²

(9.81*9948.914716981²)/(6.67 * 10⁻¹¹) = 1.4557761e+19kg

Okay, after certain comment by Podonklos, I'm just going to use earth's density (5.51 g/cm³). So handy spere calculator tells us:

Using Rhode Island: 9.11636148e+16 kg

Using Connecticut: 8.91294335e+17 kg

Derse's moon speed

Given that the moon begins to drift away as soon as Dave breaks the chain.

(Yes, I am well aware that besides Doc Scratch and Andrew Hussie no character has canon size, this is an approximation)

Andrew's height: 6 feet = 1.8288 meters

Dave's height: (1.8288/412)*235 = 1.043126214 meters

Distance: (1.043126214/55)*209 = 3.963879613 meters

Timeframe: 0.30 seconds

Speed: 3.963879613*(1/0.30) = 13.212932043 m/s

Putting this into the calculator gives us 7.95774e+18 joules for Rhode Island (High 7-A, Large Mountain level) and 7.78018e+19 joules for Connecticut (6-C, Island level). Given that the chain can take this much force, then breaking it must take a similar or stronger force.

Not sure which will be accepted, I'm fine with both.

Second Calc

Hole's Volume

Hole's Radius: ((1274200/350)*35/2) = 63710 meters

The hole reaches the center of the Battlefield, so the dept is 637100 meters

Out of sheer laziness, I will use a cillinder calculator, that gives us 8.127321802631421e+21 cm³

There are not leftovers, so pulverization.

8.127321802631421e+21*214.35 = 1.742091428e+24 (High 6-B, Large Country level)

Third Calc

Meteorite's mass

First, size:

Good thing the meteorite is roughly spherical

Meteorite's radius: ((1274200/350)*43)/2 = 78272.285714286 meters

Meteors seems to have an average density of 3.4 g/cm³. So...

Meteor's mass : [(4/3)*π*78272.285714286³]⋅3.4 = 6.82954192e+18 kg

Now, for speed. Sadly, I couldn't get a HQ gif, but it wont change the result very much:

Distance: ((1274200/237)*16)-((1274200/237)*10) = 32258.227848101 meters

Timeframe: 2.08 seconds

Speed: 32258.227848101/(1÷2.08) = 67097.11392405 m/s

Putting this into the kinetic energy calculator gives us 1.53734e+28 joules (High 6-A, Multi-Continent level)

Final results

Breaking Derse's chain: 7.95774e+18 joules (High 7-A, Large Mountain level) to 7.78018e+19 joules for Connecticut (6-C, Island level)

John drills a hole in the Battlefield: 1.742091428e+24 joules (High 6-B, Large Country level)

A meteor falls in Jade's Island: 1.53734e+28 joules (High 6-A, Multi-Continent level)

Note: I am unable to comment in blogs for some reason. I might use a sockpuppet if I need to talk.