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

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In summary, a 120 kg man jumps off of a 5 story building (~15 meters). His acceleration is g during the freefall, and the force acting on him as he falls is just his weight. He would more than likely bust a few bones if he landed on his feet stiff-legged.
  • #1
amitpop
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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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  • #2
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??
 
  • #3
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)
 
  • #4
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.
 
  • #5
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!
 
  • #6
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
 
  • #7
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...
 

1. What happens to your body when you jump off a building?

When you jump off a building, your body will accelerate towards the ground due to the force of gravity. As you fall, your body will experience increasing velocity and eventually reach a terminal velocity, where the force of air resistance balances out the force of gravity. Upon impact with the ground, your body will experience a significant amount of force, which can result in serious injuries or death.

2. Can you survive jumping off a building?

It is highly unlikely that you will survive jumping off a building. The force of impact from falling at high speeds is usually fatal. However, some people have survived falls from great heights due to factors such as landing on a soft surface or being in a state of shock, which can minimize the impact on the body.

3. How far can you jump off a building and survive?

The height at which a person can jump off a building and survive depends on various factors such as the surface they land on, their body weight, and the angle at which they fall. In general, the higher the building, the higher the chances of sustaining fatal injuries upon impact.

4. Can you fly if you jump off a building?

No, you cannot fly if you jump off a building. Despite what movies or cartoons may suggest, humans do not have the physical ability to fly. The force of gravity will always pull you towards the ground, and without wings or a parachute, you will not be able to stay in the air for an extended period of time.

5. What are the risks of jumping off a building?

The risks of jumping off a building are numerous and severe. Aside from the obvious risk of death, you also run the risk of sustaining serious injuries such as broken bones, internal bleeding, and brain trauma. Additionally, there may be legal consequences for jumping off a building, as it is often considered illegal and dangerous behavior.

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