2 big Issues for 2 important calcs

[Kerr5]

So, a character punches a ball of obsidian and cracks it, some parts even fragment and fall over.
Which is the J/cc value of Obsidian?
There's a different process for this particular material?
Which formula should i use for cracks? Does it counts as fragmentation or is something different?

The second one: There's a way of calculating the power of a soundwave? Like a sonic boom, or a character punching someone so hard that it can be heard through kilometers.

 

[KLOL506]

So, a character punches a ball of obsidian and cracks it, some parts even fragment and fall over.
Which is the J/cc value of Obsidian?
There's a different process for this particular material?
Which formula should i use for cracks? Does it counts as fragmentation or is something different?

According to this, Obsidian's compressive strength is 0.15 N/mm^2 or 0.15 MPa or 0.15 J/cc.

The second one: There's a way of calculating the power of a soundwave? Like a sonic boom, or a character punching someone so hard that it can be heard through kilometers.

Nah, we can't calculate shockwaves like that unless there is overpressure (Like in an explosion) involved.

 

[Kerr5]

Nah, we can't calculate shockwaves like that unless there is overpressure (Like in an explosion) involved.

What about a direct Sonic Boom which is so powerful that it destroys a superhuman's arm

 

[KLOL506]

What about a direct Sonic Boom which is so powerful that it destroys a superhuman's arm

Then you use the ground based explosion with 5 psi or 0.344738 bars as your baseline.

W = R^3*((27136*P+8649)^(1/2)/13568-93/13568)^2, where W is the yield in tons of TNT, R is the radius in meters, and P is the shockwave pressure in bars

Was the shockwave omnidirectional? Only then can this formula be used.

 

[Kerr5]

Then you use the ground based explosion with 5 psi or 0.344738 bars as your baseline.

W = R^3*((27136*P+8649)^(1/2)/13568-93/13568)^2, where W is the yield in tons of TNT, R is the radius in meters, and P is the shockwave pressure in bars

Was the shockwave omnidirectional? Only then can this formula be used.

Yes, it was omnidirectional just like a Sonic explosion.