How do i calculate the force of which this falling object will hit the ground
[From: ] [author: ] [Date: 11-12-17] [Hit: ]
85 m/sNow, we can calculate the deceleration of the camera as it hits the ground.Again, we must make an assumption.Assuming worst case scenario, lets assume it lands on concrete,......
V_t = sqrt[(2 * m * g)/(rho * A * C_d)] = sqrt[(2 * 1.360 * 9.81)/(1.225 * 0.31 * 0.5)]
V_t = 11.85 m/s
Now, we can calculate the deceleration of the camera as it hits the ground. Again, we must make an assumption. Assuming worst case scenario, let's assume it lands on concrete, which has very little give. We will assume that the collision time is 0.01 sec. This will provide us with a deceleration of 1,185 m/s^2 and a collision force of 1,612 N. This would be the equivalent of having a person that has a mass of 164 kg, or 362 pounds, jumping on it.
Hope you have a tough camera.
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Alex: Doing a little converting: 100,000ft=30,480 Meters & 1360 grams=1.36 K.G. we can say the force will equal 9.9m/sec x 30,480 meters x 1.36 K.G. to simplyfy things. 298,704 x 1.36=
406,237.44KG/sec. = Kinetic Force. This disregards air resistance which may act upon the object.
A person in free fall reaches a terminal velocity of about 60 meters/sec because at thet point the air resistance will equal the person,s acceleration due to gravity. To know the impact force, one would have to know how far the object penetrates into a surface and divide it into the kinetic force. Example: Suppose the object penetrated 0.1 meter into the surface, the impact force woyld be
40,623.744Kg,sec Hope this helps. Good Luck
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Have you considered the permission required for launching a balloon to that height. You may need to contact civil aviation authorities before doing so.
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Use the impulse equation dP = m dV = F dT; so the impact force is F = m dV/dT, where m = mass of your falling object (including the unopened chute), dV = V is the speed of the object just prior to hitting the ground, and dT is the impact interval. If you use ImperialI units for all the factors, F will be in pounds force.
So m = W/g = 3/32 slugs to start with. Then you need to find V and dT and solve for F.
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