Super Mario - Calculating a few feats

Calculating a few higher-end Mario feats that don't tip into the cosmic tiers.

Summary

• Donkey Kong/Diddy punch/headbutt a small Moon onto DK Isle (Donkey Kong Country Returns) - 1.4082621 x 10^20 Joules, Island level
• Mario jumps near a Black Hole (Super Mario Galaxy) - 1.1047 x 10^17 Joules, City level
• Cyrus shoots Paper Bowser into space (Super Paper Mario) - 2.6895637 x 10^16 Joules, City level
• Wario Shakes Mt. Lava Lava (Wario Land: Shake It!) - 4.2024501 x 10^15 Joules, Small City level
• Mario and his partners get shot to the Moon (Paper Mario: The Thousand Year Door) - 2.170 x 10^15 Joules, Large Town level+
• Bye Bye Cannon's Power (Mario & Luigi: Dream Team) - 8.803 x 10^14 Joules, Large Town level
• The Shake King's death disperses a bunch of clouds (Wario Land: Shake It!) - 7.71393 x 10^13 Joules, Town level
• Bowser shakes all of Pagoda Peak (Mario Party 7) - 7.571815 x 10^13 Joules, Town level
• K. Rool withstands the destruction of Crocodile Isle at point blank range (Donkey Kong Country 2: Diddy's Kong Quest) - 1.2398089 x 10^13 Joules, Small Town level to 1.0693352 x 10^14 Joules, Town level
• Various characters tank a stadium explosion (Mario Power Tennis) 6.237298 x 10^12 Joules, Small Town level
• AMP: Giant Bowser punches a castle around the world (Mario & Luigi: Bowser's Inside Story) - 1.130 x 10^22 Joules, Small Country level
• AMP: A Super Star-boosted character sends Metal Bowser flying far into space, which he survives (Mario Party 2) - 8.726 x 10^17 Joules, Mountain level

This is only listing Tier 7 or 6 feats, there's a couple of calculated tier 8 ones that I'm not going to list here, as well as a lot of non-calculated ones. What I am going to list is other feats I am currently unwilling to calculate (some would require huge assumptions, some knowledge that I don't have, some just a lot of effort) that would end up in this ballpark. If you're interested in a more thorough list of Mario feats, see here.

• Super Mario World 2 - Yoshi's Island (1994) - Raphael the Raven kicks Yoshi to the Moon, or at least to a satellite that's slightly above the Earth's atmosphere.
• WarioWare, Inc.: Mega Party Game$! (2003) - Jimmy / 9-Volt / Wario / Dr. Crygor / Kat / Ana / Dribble / Spitz / Mona / Orbulon can withstand an explosion that blows them over the clouds in seconds all the way to the Moon.
• Mario & Luigi: Partners in Time (2005) - The Elder Princess Shroob seems to intensify a thunderstorm by releasing massive amounts of gas when powering up, with the bros being a few meters away from the epicenter.
• Wario: Master of Disguise (2007) - Terrormisu destroyed an entire kingdom, albeit overtime.
• Mario Super Sluggers (2008) - Wario and Waluigi tank a nearly island-sized firework explosion.
• Bowser's Inside Story (2009) - Dark Bowser covers all of the Mushroom Kingdom in a dark windstorm.
• New Super Mario Bros. U (2012) - Mario, Luigi and a couple of Toads are tossed across a whole country.
• Donkey Kong Country: Tropical Freeze (2014) - DK easily breaks a seal that was holding a massive tree from shooting into the air. This one may not reach Tier 7 but it's fairly impressive anyways
• Donkey Kong Country: Tropical Freeze (2014) - DK punches Fredrik through his ship, splitting it in half. This ship is roughly 1/4 the width of DK Island.
• Luigi's Mansion 3 (2019) - King Boo gathers a storm together to blast Luigi with lightning, then dissipates it. Unsure if this scales to physicals.
• "Twinkle in the sky" feats: (These are all probably just around the higher end of tier 8 admittedly)
  • Mario Party 2 (1999) - Bowser, in a spaceship.
  • Mario Party 3 (2000) - Daisy to Bowser (Admittedly this happens in a toy box with visible walls so I'm not sure about the validity).
  • Mario Party 4 (2002) & Mario Party: The Top 100 (2017) - Any playable character
  • Super Princess Peach (2005) - An (amped, I think?) Peach to Bowser.
  • Mario Party: Island Tour (2013) - Bowser.
  • Mario Party: Island Tour (2013) - Bowser.
  • Mario & Luigi: Dream Team (2013) - Mario to Bowser.
  • Super Mario 3D World (2013) - Bowser.
  • Mario Party Star Rush (2016) - Bowser. This guy gets shot into the air a lot huh?

Giant Bowser punches a castle around the world (Mario & Luigi: Bowser's Inside Story)

Recalculation of the above calc, except I'm actually calculating the path he traveled through angsizing rather than lowball it. Using pixel scaling from the OG calc.

• Castle distance from POV: 14.1752 * 1080/[137.2*2*tan(70deg/2)] = 79.67866
• Planet Curvature Scaling: sqrt(1-(tan(35deg)*(1249/1080))^2/((tan(35deg)*(1249/1080))^2+1))*12742 = 9902.4276 km
• Planet distance from POV: 9902427.6 * 1080/[1249*2*tan(70deg/2)] = 6114292.5612 m
• 6114292.5612 - 79.67866 + 6371000 (Half of Earth's diameter) = 12485212.8825 m (Radius of movement)
• Speed: 2 x pi x 12485212.8825 / 9.3333 = 8405055.6759 m/s, Sub-Relativistic
• Relativistic KE: 1.130 x 10^22 Joules, Small Country level

Bowser shakes all of Pagoda Peak (Mario Party 7)

A simpler calculation. Pagoda Peak is taller than the clouds around it, which seem to be Stratus (thick, calm, fog-like). According to our Cloud Calculations page that gives a height of 1000 + 1219.2 = 2219.2 m (I'm using the whole height of PP because the shaking affects even areas separate from the main mass of the board, which means the shockwaves traveled down and up the mountain). As for magnitude, it's shaking things hard enough to cause people to fall over so I think Mag 6 is fine, Yujiro Hanma's EQ got recently accepted as that for making people nearly fall over so, I think that's fine.

• Magnitude at Origin: 6 + 0.0238*2.2192 = 6.0528 lmao
• 10^{1.5*(6.0528)+4.8} = 7.571815 x 10^13 Joules, Town level

K. Rool withstands the destruction of Crocodile Isle at point blank range (Donkey Kong Country 2: Diddy's Kong Quest)

Possibly, at least? He's flying away by the time that the island begins sinking, but it's pretty clear him falling into the core is what even unleashed it, and it's kind of an overtime thing? Look, I'm calcing it, we'll see what to do with it later. I'll get Crocodile Isle's size by comparing it to the galleons (For those unfamiliar I know they're galleons because one of them is called Gang-Plank Galleon in both DCK1 and 2) around it, which are around 50 m. To my knowledge there isn't a better way to do it, if DK Isle and Crocodile Isle were ever directly compared you could scale DK Isle off the Moon calced in DKCR but the only time that happens is in DK64 where Croc Isle is rebuilt as a mega-ship so not really the same, I think.

• 5000 / 101 * 361 = 17871.2871 / 2 = 8935.6435
• 5000 / 101 * 416 = 20594.0594
• Volume: (π x r^2 x h)/3 = (π x 8935.6435^2 x 20594.0594)/3 = 1.7219568 x 10^12 cm^3
• I'll do 10% hollowness (1.5497611 x 10^12) and then I'm not sure honestly, you see no destruction but it's from quite far away, but it also does collapse cleanly in a few seconds which idk if it would if there were huge chunks blocking the way. I'll do a frag end and a vfrag end.
  • Frag: 8 * 1.5497611 x 10^12 = 1.2398089 x 10^13 Joules, Small Town level
  • VFrag: 69 * 1.5497611 x 10^12 = 1.0693352 x 10^14 Joules, Town level

dang

Mario and his partners get shot to the Moon (Paper Mario: The Thousand Year Door)

Using watchframebyframe at 60 FPS, the guys are shot at frame 21034 and land at 23393, for a travel time of 2359 / 60 = 39.3166 seconds.

• Moon-Earth Distance is 384400 km or 384400000 m / 39.3166 s = 9777040.74109 m/s. The only partner who could maybe be heavier than Mario is Bobbery, but idk. Let's just go with 45.3592 kg. Granted he's also made of paper but usually they act as if they have normal weight.
• Relativistic KE: 2.170 x 10^15 Joules, Large Town level+

This may break KE rules? I dunno. Honestly half of these calcs might, idk.

Super Star-boosted character sends Metal Bowser flying far into space, which he survives (Mario Party 2)

Using watchframebyframe at 60 FPS, the throw takes ((165284 - 165049) / 60 =) 3.9166 seconds to wind up and ((165371 - 165284) / 60 =) 1.45 seconds to take reach the apex. I don't really know what to do for Bowser's weight, but when it comes to N64-era Bowser whose design really leans more towards turtles, I think the best option is to upscale an Alligator Snapping Turtle's weight. A bit of a lowball but what can you do

• Weight
  • 155 / 258.6 * 483.6 = 289.8607
  • 155 / 258.6 * 378.6 = 226.9257
  • (289.8607 / 80.8)^3 x 80 kg = 3693.3793, almost 4 tons. Now Bowser himself says he's the weight of 10 Bowsers when metallic, so this is 36933.793 kg.
• KE:
  • PCS: sqrt(1-(tan(35deg)*(861/1080))^2/((tan(35deg)*(861/1080))^2+1))*12742 = 11125.8993 km or 11125899.3 m
  • Planet angsizing: 11125899.3 * 1080/[861*2*tan(70deg/2)] = 9965496.73704 m
  • Bowser head angsizing: 2.269257 * 1080/[141*2*tan(70deg/2)] = 12.41170 m
  • (9965496.73704 - 12.41170) / 1.45 = 6872747.81058 m/s, also Sub-Relativistic
  • Relativistic KE: 8.726 x 10^17 Joules, Mountain level
  • Lifting Strength: 8.726 x 10^17 / 3.9166 / 9.81 = 2.2711038 x 10^16 kg, Class P

Various characters tank a stadium explosion (Mario Power Tennis)

Ah, nostalgic feat, isn't it? If memory serves, this is the one that Death Battle calculated in their first Mario vs Sonic DB. Anyways, here's my shot at it. Ignore the 1063 in the pixel scaling, I realized that the hypothenuse of a 1920 x 1080 picture grants a higher result. This does knock them out, for the record.

• 23.77 / 98 * 152.6 = 37.01328
• 37.01328 / 101 * 2202.907 / 2 = 403.6475 m
• ((0.403/0.28)^3)/1000 = 0.0029815 / 2 = 0.00149075 Megatons = 1490.75 Tons of TNT or 6.237298 x 10^12 Joules, Small Town level

Cyrus shoots Paper Bowser into space (Super Paper Mario)

Feat here, Luigi is the one shown doing this but according to Mario Wiki (who I would honestly trust with my life) it works with any character. Using watchframebyframe we can see that the jump takes (59551 - 59016) / 60 = 8.91666 seconds to reach the apex. I'll use the 3.9 tons Bowser weight I calculated before, he's a bit smaller in these games but not too much. Also I'll assume 155 cm for Luigi, he's a bit taller than Mario but Paper Mario is slightly shorter than normal Mario.

• PCS: sqrt(1-(tan(35deg)*(284/1080))^2/((tan(35deg)*(284/1080))^2+1))*12742 = 12531.343 km
• Distance: (Planet angsize) 12531343 * 1080/[284*2*tan(70deg/2)] - (Luigi angsize) 1.55 * 1080/[167.4*2*tan(70deg/2)] = 34028763.1576
• 34028763.1576 / 8.91666 = 3816312.74015 m/s
• 3816312.74015^2 x 0.5 x 3693.3793 = 2.6895637 x 10^16 Joules, City level

Wario shakes Mt. Lava Lava (Wario Land: Shake It!)

In Shake It there's a move, appropriately named "Earthshake Punch", that lets you hit the ground hard enough to make the background shake, and in the Mount Lava Lava stage, this lets you shake the entire volcano in the background. I'm not a geologist so this may be wrong but I think it's fine to use the average statistics for cinder cone volcanoes presented in this study, with an average height of 90 meters and an average volume of 0.021 km^3, or 2.1 x 10^13 cm^3.

• I'm going to be using the same method as this calculation, with the difference that apparently earthquakes are actually usually between 0.01 and 10 hz, so the average is 5.005 hz.
• Unfortunately the video is quite blurry so results may end up a bit inaccurate, but I'm going to be pixel scaling the visible distance of the shaking. I think the calc is a bit lowballed otherwise so this should be fine.
• 90 / 704 * 90.9 = 11.6207 meters
• 11.6207*5.005*2*3.14 = 365.25486 m/s
• Mass of the volcano: Basalt, one of the most common volcanic rocks, reaches up to 3 g/cm^3. 3 x 2.1 x 10^13 = 6.3 x 10^13 g or 6.3 x 10^10 kg
• 6.3 x 10^10 x 0.5 x 365.25486^2 = 4.2024501 x 10^15 Joules, Small City level

Bye Bye Cannon's Power (Mario & Luigi: Dream Team)

This feat seems to have M&L loop around the planet in (502 - 309) / 30 = 6.4333 seconds.

• 40075000 m (Circumference of Earth) / 6.4333 = 6229306.887 m/s
• Using a weight of 45.3592 kg, Relativistic KE = 8.803 x 10^14 Joules, Large Town level