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I am trying to find out the amount of force that a freefalling 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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