- #1

Tankoyu

- 6

- 1

I am trying to find out the amount of force that a free-falling body will have, as it hits the ground from a distance of 2000 km from Earth's surface.(Considering air resistance)

What I know about the body:

Area of the body=20199.04 mtr²

Density of body=985 Kg/m³

Thickness of body= 75 mtr.

After scaling the area 10 times,(since the actual body is 10 times larger)

Area of the scaled body=2019904 mtr²

Volume of body: area*thickness

Therefore, volume=2019904*75=151492800 mtr³

Mass= volume*density

Mass= 151492800*985

= 149220408000 kg

Terminal velocity of body:

Density of air=1.225 kg/m³

Drag coefficient of the body, C =1.98

Using the formula for terminal velocity,

Vt=773 mtr/sec (~ 2.25 Mach)

Force of impact,

'V' is taken as the value of terminal velocity (Vt)

Using the above formula, I have found the force,

F= 1,463,766,251,524.9 kgf

Or = 14,354,643,310,487 N

Can anyone help me validate this value??

Have I used the proper procedure to achieve the force value?

What I know about the body:

Area of the body=20199.04 mtr²

Density of body=985 Kg/m³

Thickness of body= 75 mtr.

After scaling the area 10 times,(since the actual body is 10 times larger)

Area of the scaled body=2019904 mtr²

Volume of body: area*thickness

Therefore, volume=2019904*75=151492800 mtr³

Mass= volume*density

Mass= 151492800*985

= 149220408000 kg

Terminal velocity of body:

Density of air=1.225 kg/m³

Drag coefficient of the body, C =1.98

Using the formula for terminal velocity,

Vt=773 mtr/sec (~ 2.25 Mach)

Force of impact,

'V' is taken as the value of terminal velocity (Vt)

Using the above formula, I have found the force,

F= 1,463,766,251,524.9 kgf

Or = 14,354,643,310,487 N

Can anyone help me validate this value??

Have I used the proper procedure to achieve the force value?

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