What speed will an object fall?

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    Fall Speed
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Discussion Overview

The discussion centers on determining the speed at which an object falls from a known height, specifically addressing the influence of weight and the role of drag forces. Participants explore the physics behind free fall, including energy conservation principles and the effects of air resistance.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks a formula to calculate the speed of a falling object based on its height and weight.
  • Another participant asserts that the speed of a falling object is independent of its weight, referencing well-known equations of constant acceleration.
  • A later reply emphasizes that this independence holds true only if drag effects are ignored.
  • Further discussion highlights that drag is not proportional to mass but depends on the object's geometry.
  • A participant provides a derivation of the speed formula using kinetic and potential energy, concluding that the speed is independent of weight, while also noting that this is valid only when ignoring drag forces.
  • Another participant reiterates the derivation and the assumption of neglecting drag, indicating that in practical scenarios, drag is typically not ignored.

Areas of Agreement / Disagreement

Participants express differing views on the role of weight in determining falling speed, with some agreeing on the independence of weight under certain conditions, while others emphasize the importance of considering drag forces, leading to an unresolved discussion regarding real-world applications.

Contextual Notes

The discussion includes assumptions about neglecting drag forces, which may not hold true in practical scenarios. The dependence of drag on geometry rather than mass is also noted, but not fully explored.

ATCLanser
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I am looking for a formula to determine what speed an object will fall with a known height and weight. For example a 220 pound man falls from 65 ft, what speed will he be going when he hits the ground?
 
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You do know that the speed an object falls is independent of its weight...right? The equations for constant acceleration are very well known in intro physics courses.

http://selland.boisestate.edu/jbrennan/physics/notes/Motion/constant_acceleration_formulas.htm

http://www.juliantrubin.com/bigten/galileofallingbodies.html
 
Last edited by a moderator:
FredGarvin said:
You do know that the speed an object falls is independent of its weight...right?
I know that you know this Fred, but for the benefit of the OP I will mention the caveat that an objects' instantaneous velocity is only independent of mass provided that the effects of drag are ignored.
 
Hootenanny said:
I know that you know this Fred, but for the benefit of the OP I will mention the caveat that an objects' instantaneous velocity is only independent of mass provided that the effects of drag are ignored.
True. However it should be pointed out that drag is not proportional in any way to mass either. It is a function of geometry.
 
ATCLanser said:
I am looking for a formula to determine what speed an object will fall with a known height and weight. For example a 220 pound man falls from 65 ft, what speed will he be going when he hits the ground?

There is a simple derivation for the formula below.
The kinetic energy at the moment the object hits the ground is 0.5mv^2 which is equal to its potential energy at given height "h"
Thus 0.5mv^2=mgh
And v=(2gh)^0.5 which is independent of the weight.
 
aniketp said:
There is a simple derivation for the formula below.
The kinetic energy at the moment the object hits the ground is 0.5mv^2 which is equal to its potential energy at given height "h"
Thus 0.5mv^2=mgh
And v=(2gh)^0.5 which is independent of the weight.

This is only true if the drag force is ignored (as pointed out previously by Hootenanny and Fred). In real life it is not normally ignored.

CS
 

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