What is the force acted upon a 120 kg man who jumps off a 5 story building?

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A 120 kg man jumping from a 5-story building (approximately 15 meters) experiences gravitational acceleration during free fall, equating his falling force to his weight. The impact force upon hitting the ground varies significantly based on how he lands; a stiff-legged landing results in a much greater force, potentially causing severe injuries or death, while bending his knees could reduce the impact. The exact force upon impact cannot be calculated without additional details, such as the landing technique and the distance over which the force acts. The discussion emphasizes the dangers of such a fall, particularly onto a hard surface like concrete. Overall, the scenario highlights the critical factors influencing injury risk in high falls.
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Homework Statement


A 120 kg man jumps off of a 5 story building (~15 meters). How much force is acted upon his body once he reaches the bottom?
Will he break any bones?

Homework Equations


X = (1/2)at^2 (since initial displacement and initial velocity are zero)
so therefore:
a = 2x/t^2
F= ma

The Attempt at a Solution


x = 15
so: a = 20/t^2

F= 120* ( 20/t^2)

How do i solve for time?

thanks
 
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This problem is missing information. His acceleration is g as he is falling, so the force acting on him as he falls is just his weight. The force acting on him as he hits the ground is quite different, and that depends upon what he falls onto (a safety net or concrete pavement?). Is there more information given??
 
It's easier than that. This is a free fall motion so the acceleration is constant.(gravity)

Use Newtons second law with this knowledge. (F = ma)
 
PhanthomJay said:
This problem is missing information. His acceleration is g as he is falling, so the force acting on him as he falls is just his weight. The force acting on him as he hits the ground is quite different, and that depends upon what he falls onto (a safety net or concrete pavement?). Is there more information given??

A concrete sidewalk.
 
You cannot determine how much force acts on him as he hits the sidewalk, unless you know, for example, if he lands on his feet, how much he bends his knees as he hits. If he falls stiff legged, the force would be enormous, and he'd more than bust a few bones; if he bends his knees and rolls as he falls, you'd have to calculate that distance over which the impact force acts, then look up how much impact force the bone can take before breaking. I'd guess that although the force would be less than the force from a stiff legged landing, the fall could still be lethal. Don't try this at home!
 
PhanthomJay said:
You cannot determine how much force acts on him as he hits the sidewalk, unless you know, for example, if he lands on his feet, how much he bends his knees as he hits. If he falls stiff legged, the force would be enormous, and he'd more than bust a few bones; if he bends his knees and rolls as he falls, you'd have to calculate that distance over which the impact force acts, then look up how much impact force the bone can take before breaking. I'd guess that although the force would be less than the force from a stiff legged landing, the fall could still be lethal. Don't try this at home!

So let's make the assumption that he lands on his feet and the surface area of each foot is half a square foot.
Now is it more possible?

thanks
 
amitpop said:
So let's make the assumption that he lands on his feet and the surface area of each foot is half a square foot.
Now is it more possible?

thanks
Come on, with a 45 foot jump onto concrete, all bets are off...
 
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