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| Dragon Ball Manga Chapter 14 |
Master Roshi, once regarded as the strongest man in the world, proved this title during his first major display of power in the early chapters of the Dragon Ball manga. Using the iconic technique known across all anime and manga—the Kamehameha—he completely destroyed Mount Frypan. But how powerful was this demonstration? Let’s attempt to estimate the energy behind this feat.
The first step is determining the size of Mount Frypan. Neither the manga nor any official guide provides concrete measurements, so the only option is to approximate its dimensions through comparative scaling based on what is shown in the panels.
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| Dragon Ball Manga Chapter 11 |
Using the panel from chapter 11, we can see Mount Frypan clearly in the distance. Goku even climbs on top of the car to get a better view of it, which allows us to apply the horizon-distance formula.
Assuming Goku’s eye level is roughly 1 meter above the ground:
The formula used to determine the distance to the horizon is:
d = √(2 × R × h)
Where:
- d is the distance to the horizon
- R is Earth’s radius (approx. 6,371 km or 3,959 mi)
- h is the observer’s height above the surface
Substituting the values into the formula:
d = √(2 × 6,371,000 × 2) = 3569 meters (≈3.5 km)
To determine the size of the mountain based on its distance, we first need its angular size. For this, we use pixel scaling. The panel has a height of 943 px, the mountain is 250 px tall with a 450 px base.
Applying the formula:
2 × atan[ tan(70°/2) × (250 px / 943 px) ] = 25.84°
Although we could manually apply the angular-distance formula, using an angular size calculator simplifies the process and keeps the post concise. Entering the values gives us:
- Mountain height: ~1,636 meters
- Mountain base width: ~2,945 meters
With these dimensions, the total volume is 3,712,167,270 m³.
Using a rock density of 2,500 kg/m³, we obtain a mass of:
79,569,050,245,822 kg.
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| Dragon Ball Manga Chapter 15 |
As shown in the panel, the mountain was shattered into fragments roughly a meter or smaller. According to explosive-engineering studies, fragmenting rock to this degree requires an average of 20 joules per cubic centimeter.
Using the previously calculated volume:
3,712,167,270,000,000 cm³ × 20 J/cm³ = 7.4e16joules,
which corresponds to ~17 megatons of TNT.
This is an extremely powerful technique—enough to level a city or, in this case, completely obliterate a mountain. The result also fits consistently within the narrative power-scaling we have seen so far, matching the destructive range already established with King Piccolo’s Demon Wave.
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