Chieri no Koi wa 8 Meter - Vol. 5 Ch. 53.5

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I think I messed up the calculations cuz my result came out that she's fallen with the energy twice that of the nuclear bomb that struck Hiroshima.

Starting from a bmi estimation of 28. Formula is bmi=kg/(m^2), 28*(8000^2)=1.8 billion kg or 1.8 million tons.

Assuming the depth of her body is approximately the same proportion as her head. A a person's height is around 7.5x that of their head.
The distance travelled during the fall must be total height-(total height÷7.5), which gives the fallen distance of about 7km.

Now we don't know how fast she was falling, so I'll use the kinematic equation vf^2=(vi^2)+2a*∆x. Since her initial velocity is 0, her final velocity is proportional to just the acceleration of gravity along the distance she's fallen. vf^2=2g*7000meters, giving the final velocity to be 370.4m/s or 1,333.46km/h.

Using the equation for kinetic energy (1/2)mass(velocity^2), we have 0.5*1,800,000,000*(370.4^2)=1.23x10^14Joules.

Knowing the little boy a-bomb exerts about 6.3x10^13J and our girl has exerted 1.2x10^14J, she would've had the impact energy twice the amount from the little boy.
 

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