Falling from a Mountain: The Impact of Using a Stone to Break a Fall"

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Discussion Overview

The discussion revolves around the hypothetical scenario of a person falling from a mountain and attempting to use a stone to break their fall. Participants explore the physics of falling, the forces involved, and the potential effects of using the stone in this context. The conversation touches on concepts such as acceleration, terminal velocity, and the impact of density and shape on falling objects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether jumping off a stone while falling would decrease their speed, given an initial speed of 100 m/s.
  • Another participant suggests that exerting a force on the stone would result in a force being exerted back, affecting both the person and the stone's acceleration.
  • Some participants argue that the speed decrease would be minimal and reference similar scenarios discussed in other contexts.
  • There is a suggestion that unless the legs are exceptionally strong, the attempt to reduce speed would likely be futile.
  • One participant posits that holding onto the stone while falling would result in a faster descent compared to free-falling alone.
  • Air resistance is mentioned as a factor that could influence the fall, particularly in relation to the density of the stone compared to a human.
  • Participants discuss the implications of falling alongside denser objects, like an iceberg, and whether holding onto such objects could affect terminal velocity.
  • There is a clarification that drag is influenced by cross-sectional area and shape, with a mention of the "drag coefficient" affecting how different objects fall.

Areas of Agreement / Disagreement

Participants express a range of views, with no consensus on the effectiveness of using the stone to break a fall. Some agree that the attempt would likely not significantly reduce speed, while others explore the implications of density and shape on falling dynamics, indicating ongoing debate.

Contextual Notes

The discussion includes assumptions about the strength of human legs, the effects of air resistance, and the role of density and shape in falling objects, which remain unresolved and depend on various conditions.

Hepic
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Lets say that I am falling down from a mountain. Then only thing that I have with me is a big stone. Let's say that when I have distance 50m from the ground,I put the rock down of my legs,and I jump(hitting my legs at stone). If my speed was 100 m/s,will decrease after jumping or that is impossible?

Thanks!
 
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Hepic said:
Lets say that I am falling down from a mountain. Then only thing that I have with me is a big stone. Let's say that when I have distance 50m from the ground,I put the rock down of my legs,and I jump(hitting my legs at stone). If my speed was 100 m/s,will decrease after jumping or that is impossible?

You exert a force on the stone, the stone exerts a force back on you. These forces will affect the acceleration of you and the stone. How do you think it will turn out?
(Yes, I understand that you wouldn't be asking if you KNEW what would happen... but what do you THINK will happen?)
 
lol I used to ask myself this question all the time when I was younger.

The short answer no, you will still probably die. Unless your legs are really really strong and can cancel Earth's acceleration
 
yeah, you'd need to throw down the rock with a ridiculous amount of force. In reality, it would probably be better to just free-fall alone, because if you are holding on to the rock, getting ready to throw it, then you will be moving down at faster than the free-fall speed of an isolated person. But in either case, your chances are not good.
 
BruceW said:
...if you are holding on to the rock, getting ready to throw it, then you will be moving down at faster than the free-fall speed of an isolated person.

What would be the reason for that? Air resistance?
 
yeah, that's what I meant. (sorry I didn't really explain). Since I'm guessing a rock is more dense than a human. yeah, even if the human is approximately the density of water, a big rock is not going to float in water, so the rock should definitely be more dense than the human.

So, does that mean that if you were falling alongside an iceberg, you should hold on to the iceberg so that it gives you a slower terminal velocity? haha. I guess also the shape of the object makes a difference, for example a human can spread his arms and legs out to slow himself down slightly.
 
BruceW said:
yeah, that's what I meant. (sorry I didn't really explain). Since I'm guessing a rock is more dense than a human. yeah, even if the human is approximately the density of water, a big rock is not going to float in water, so the rock should definitely be more dense than the human.

So, does that mean that if you were falling alongside an iceberg, you should hold on to the iceberg so that it gives you a slower terminal velocity? haha. I guess also the shape of the object makes a difference, for example a human can spread his arms and legs out to slow himself down slightly.

At the risk of continuing the digression...

Density is not quite the right figure-of-merit. Yes, shape matters. And orientation. For instance, an arrow falls faster if you put feathers on one end so that it stays vertical. One simple model is that drag is proportional to cross-sectional area. This is multiplied by a fixed factor which depends on shape and is known as the "drag coefficient". So even though an iceberg may not be dense, it will have a high mass to cross-section ratio. So it will fall fast.
 

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