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

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Homework Help Overview

The problem involves a 120 kg man jumping off a 5-story building, approximately 15 meters tall, and seeks to determine the force acting on him upon impact with the ground. The context is rooted in physics, specifically in mechanics and dynamics related to free fall and impact forces.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of force using Newton's second law and the implications of free fall motion. Questions arise regarding the missing information necessary to accurately determine the impact force, such as the surface he lands on and his landing posture.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the problem. Some have provided insights into the role of acceleration due to gravity and the nature of the landing surface, while others emphasize the need for additional details to make a more accurate assessment of the forces involved.

Contextual Notes

There is a notable lack of information regarding the specifics of the landing conditions, such as whether the man lands stiff-legged or with bent knees, which significantly affects the force experienced upon impact. Additionally, the type of surface (concrete) is confirmed, but its effect on the outcome is still under consideration.

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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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