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Natural Science Forum / Physics / Relativity / April 2005



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F=MA appears to be incorrect

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Mark Oliver - 21 Apr 2005 17:39 GMT
Newton's states; Force = Mass x Acceleration (f=ma).  However, this law does
not explain why an object dropped from any height will be deformed (by
force) when impacting the Earth.  At the moment of impact, the acceleration
of an object is immediately reduced to ZERO, thus at that precise moment,
force = zero.  However, an egg dropped from a height of 5 feet will break
when it impacts the floor, eventhough there is no force at the exact moment
of impact.  Therefore, there must be another element (a force), which causes
the egg to break.  Mathematically speaking, F=MA is incorrect, unless the
added element of time is factored into the equation. At the precise moment
of impact, acceleration is reduced to ZERO, yet time continues.  Therefore
is time really a force, as opposed to mass or acceleration ?

The ultimate question is this, is time really "the force" which is merely
altered by mass and or acceleration ?

Details can be found at www.threexd.com

Mark Oliver
Dean Elliot - 21 Apr 2005 18:21 GMT
> Newton's states; Force = Mass x Acceleration (f=ma).  However, this law does
> not explain why an object dropped from any height will be deformed (by
[quoted text clipped - 14 lines]
>
> Mark Oliver

How have you not confused velocity with acceleration?
Dirk Van de moortel - 21 Apr 2005 18:25 GMT
> Newton's states; Force = Mass x Acceleration (f=ma).

Actually Newton states:
   Force = Time derivative of Momentum
   F = dp/dt = d(mv)/dt

> However, this law does
> not explain why an object dropped from any height will be deformed (by
> force) when impacting the Earth.  At the moment of impact, the acceleration
> of an object is immediately reduced to ZERO, thus at that precise moment,
> force = zero.

No, the acceleration is not immediately reduced to zero.
As seen by us, during freefall of the object, its acceleration is
constant. Upon impact, there is a huge acceleration in the
opposite direction (deceleration) that brings the object to
rest in a very small time interval, but not, like you seem to
like to think, in zero time.
When the bottom part touches the ground, two things start
happening:
(1) the bottom part drills itself into the ground and starts
   decelerating. The harder the ground, the shorter the
   penetration depth and the greater the deceleration.
(2) A shock wave (with typically the speed of sound) is
   sent from the bottom part of to the top part. The wave
   takes some time to propagate, and as long as the front
   of the shock wave has not reached the top, the latter
   will nicely continue its journey down while the bottom
   is strongly decelerating.
This causes the deformation of the object.

> However, an egg dropped from a height of 5 feet will break
> when it impacts the floor, eventhough there is no force at the exact moment
> of impact.  Therefore, there must be another element (a force), which causes
> the egg to break.

The deformation causes the egg to break.

Dirk Vdm
schoenfeld1@gmail.com - 28 Apr 2005 22:07 GMT
> Newton's states; Force = Mass x Acceleration (f=ma).

Euler stated that, not Newton. Newton stated what can be expressed
today F=dp/dt as Dirk has specified. This relation can be used to
derive SR, given a very reasonable assumption.

> However, this law does
> not explain why an object dropped from any height will be deformed (by
[quoted text clipped - 14 lines]
>
> Mark Oliver
 
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