The first calculation is figuring out the **Mass** of the planet using gravity and radius since those are the two things we know. Then the next step is the **Volume**, using the radius. And the third and last, is **Density**, using the Mass and Volume we calculated.

**Mass Formula:**

Rearanged gravity formula to calculate mass instead (had to do short hand got formula from wikipedia) http://en.wikipedia.org/wiki/Surface_gravity

**Volume Formula:**

V = (4/3) × pi × r^3

**Density Formula:**

P = M/V

**List of Calculators Used:**

**Calculations:**

- G = m/r^2
- M = r^2 x g
- M = 0.0000156961230576^2 x 10
- M = 0.0000000024636827904 Earth Masses
- Earth's Mass = 5.97219 × 10^24 Kilograms
- 5.97219 × 10^24 X 0.0000000024636827904 = 14,713,581,723,998,976
- M = 14,713,581,723,998,976 kg

This considers King Kai's Planet as **100M** radius & **X10** times Earth's Gravity.

The small number is the size of King Kai's Planet Radius in relation to Earths:

- Volume of a Sphere is V = (4/3) × pi × r^3
- V = (4/3) × pi × 100m^3 = 4188790.2047863905m^3

This is using King Kai's Planet as 100M radius.

Knowing the **Mass **and **Volume, **we can get the **Density:**

- P = M/V
- P = 14713581723998976kg / 4188790.2047863905m^3
- P = 3.512608892.9415128417291527 X 10^9 kg/m^3

Density of a White Dwarf Star: "The average density of matter in a White Dwarf must therefore be, very roughly, 1,000,000 times greater than the average density of the Sun, or approximately 10^6 g/cm3." Which translates to 10^9 kg/m^3. So in other words it is over 3.5 times as dense as a White Dwarf Star.

http://en.wikipedia.org/wiki/White_dwarf

The Dimensions of the Planet don't matter, only the **Density**, since we are talking about a **Punch**, not a Ki Blast.

King Kai's planet is no more than 30 Meters in Diameter (Pixels-Scaling), but even if it is 40, 50 or 90 Meters, the order of Magnitude (physically talking), is still the same (i.e. 10).

Now, **Gravitational Force** of a planet is given by this Formula:

F = (G*M*m)/r^2

G is the Universal Gravitational Constant (6,67*10^-11 [m^3/(kg*s^2)];

**M** is the **Mass** of the Planet (M is the Generic Reference of Mass)

**R** is the **Radius** of the Planet (or Distance between the two Mass's Centers)

Since King Kai's Gravitational Force is **X10** times the Earth's Gravitational Force, we have Fk (Gravitational Force of King Kai's Planet) X10 times bigger than Fe (Earth's Gavity):

Fk/Fe = [(G*Mk*m)/rk^2]/[(G*Me*m)/re^2] = 10

G and M are in commons and go away, so we have:

(Mk/rk^2)/(Me/re^2) = 10

Mass is Volume (V)*Density (D), with Volume (of a Generical Planet) = (4/3)*π*r^3;

**Back to the Formula:**

((4/3)*π*rk^3*Dk)/rk^2 = Fk and ((4/3)*π*re^3*De)/re^2 = Fe, so:

Fk/Fe = (Dk*rk)/(De*re) = 10.

The only unknown term is Dk (density of King Kai's planet), while we know De and Re of Earth and Rk = 15 meters (assuming a diameter of King Kai's planet of 30 m, as previously said).

So, Dk = 1,17*10^10 kg/m^3, while density of Earth (De) is 5,5153*10^3 kg/m^3, so the Density of King Kai's planet is around X2 Million times higher than the Density of Earth, and Goku Punched a whole hole throughout this material.

Even if King Kai's planet had the same Gravitational Force as Earth, the fact it has such a small Diameter would still imply a *huge* Density, and indeed it would still have a Density around 200,000 times larger than the Density of the Earth.

Indeed, what really matters when talking about Physical Punches is the Density, and AT, giving us a planet of a few meters of Diameter and with a Gravitational Force X10 times greater than the one on Earth, is indisputably giving us that previously said enormous level of Density.

Imaging taking a Cube of 1 Meter of each side of the following materials:

**Average Sun Composition**: It would weigh around **1.4 Tons**.**Average Earth Composition**: It would weigh around **5.5 Tons**.**Core of the Sun** Material: It would weigh **150 Tons**.**King Kai's Planet** Material: It would weigh around **10 Million Tons**.**Neutron Star** Material: It would weigh around **280,000 Billion(s) Tons**.

Punching the Core of the Sun would obviously require* inhumane* Striking Power, regardless of how much Matter (in KG) you punch away. Even worse would be just trying to physically scratch the surface of a Neutron Star.

A not even Blood-Lusted SSJ3 Goku actually vaporizes (with *one* punch) a whole quantity of a material (which according to canon info about King Kai's planet) that has *thousands* of times the Density of the Sun's Core.

Thus punching through Earth material for Goku would be a joke for him ( it would be like punching thin air for us), and the Earth would collapse on itself.

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