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Natural Science Forum / Physics / General Physics / July 2008



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Question about terminal velocity

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Osmium - 15 Jul 2008 17:25 GMT
Assume an asteroid is traveling at 25,000 mph on on collision course
with the Earth----and is one million miles away.  When that asteroid
gets close enough for the Earth's gravitational field to exert a
strong influence will the asteroid accellerate to an even higher
velocity prior to impact?
IOW, everything being relative, why won't the Earth's gravitation
"add" 25,000 mph more in velocity for an impact speed of 50,000 mph.
Donny Osmium - 15 Jul 2008 18:39 GMT
If you believe the asteroid would 'accellerate' [sic],
you would have to believe the Earth's gravity
affects other bodies, you blithering Google-posting
AOL-using twat.

> My brain fit in gnat bung-hole!
Osmium - 15 Jul 2008 18:45 GMT
> If you believe the asteroid would 'accellerate' [sic],
> you would have to believe the Earth's gravity
[quoted text clipped - 4 lines]
>
> - Show quoted text -

Oh, you caught me in a misspelling, how tremendously clever of you.
Actually I know the answer and it is not what you think.  I
Donny Osmium - 16 Jul 2008 00:30 GMT
Which do you believe?  Pick one only:

1) The Earth's gravity affects nearby masses.

2) The Earth's gravity does not affect nearby masses.
Uncle Al - 16 Jul 2008 00:41 GMT
> Which do you believe?  Pick one only:
>
> 1) The Earth's gravity affects nearby masses.
>
> 2) The Earth's gravity does not affect nearby masses.

  3) The gravity of the situation does not affect idiots.

Hey stooopid - gravity affects up to surface objects, gravitation
affects everything else outward.  Now factor in quadrupole corrections
for the radially divergent gravitational field.  Idiot.

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G=EMC^2 Glazier - 17 Jul 2008 14:20 GMT
Uncle Al   If not for Earths gravity we would not have flat feet. Its
action at a distance gave Earth its nice Moon. If not for Earths gravity
man would not have invented wine. If not for earth gravity how would we
squeeze the grape.      Bert
Uncle Al - 15 Jul 2008 19:14 GMT
> Assume an asteroid is traveling at 25,000 mph on on collision course
> with the Earth----and is one million miles away.

Earth has a mean orbital velocity of 29.8 km/s and an equatorial
diameter of 12,756 km.  Earth passs through its own diameter every
7.13 minutes.  Slow or speed the asteroid by 0.3%, 75 mph.
 
> When that asteroid
> gets close enough for the Earth's gravitational field to exert a
> strong influence will the asteroid accellerate to an even higher
> velocity prior to impact?

Add escape velocity, 11.2 km/sec.

> IOW, everything being relative, why won't the Earth's gravitation
> "add" 25,000 mph more in velocity for an impact speed of 50,000 mph.

v = at
a = GM/r^2

Integrate for changing acceleration with radial separation to get
average velocity at a given radius.

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Jim Black - 15 Jul 2008 20:22 GMT
> Assume an asteroid is traveling at 25,000 mph on on collision course
> with the Earth----and is one million miles away.  When that asteroid
[quoted text clipped - 3 lines]
> IOW, everything being relative, why won't the Earth's gravitation
> "add" 25,000 mph more in velocity for an impact speed of 50,000 mph.

You mean escape velocity.  Terminal velocity is the velocity at which
friction equals gravity, and objects no longer accelerate.

Earth's gravitation would add (1/2)*(the asteroid mass)*(25,000 mph)^2 to
the kinetic energy of the asteroid.  (25,000 mph is Earth's escape
velocity.)  Assuming that the original 25,000 mph is relative to the
Earth's motion, so that we don't have to account for orbital velocity too,
you'd get an impact speed of sqrt(2)*(25,000 mph) or about 35,000 mph.

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G=EMC^2 Glazier - 16 Jul 2008 14:08 GMT
Osm  It does add speed. The 25,000 mph is just an estimate impact
average. Some asteroid land with little impact.   Bert
 
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