Dust.

( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:42, 1 reply, 14 years ago)

For each breath that you take, how many of the air molecules would also been breathed by the patron saint of Physics, Sir Isaac Newton (1642-1727)during his life time, the atmosphere is about 8 km high, and the molecules in the air each occupy a space representing a little cubic box about 3.33*10^-9 m along a side, the earths radius is 6..38*10^6. make any reasonable assumptions for any data needed.

a) 6 b) 6*10^3 c) 6*10^6 d) 6*10^9 e) 6*10^12
( Fucking hell Jeff I am not a robot, Thu 10 Nov 2011, 11:44, Reply)

Trick question. Newton is a myth.

( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:45, Reply)

The answer is
If each breath of Sir Isaac's (and ours) is about 1 litre = 10-3 m3, and they are 3 seconds apart, then in 1727-1642=85 years, he will have had 85 x 365 x 24 x 3600 /3 = 8.93 x 108 breaths, for a total volume of 8.93 x 105 m3. We will assume that the air mixes well enough that we do not have to worry about air being breathed twice.

The total volume of the atmosphere is 4 Re2 h, where Re is the Earth's radius, and h is the height of the atmosphere, giving 4.08 x 1018 m3. The fraction of air molecules ever breathed by the patron saint of Physics is thus 8.93 x 105 / 4.08 x 1018 = 2.19 x 10-13. The number of molecules in each breath of ours is the density 1/(3.3 x 10-9)3 = 2.78 x 1025 m-3, multiplied by the volume of each breath, 10-3 m3, or 2.78 x 1022 molecules.

Multiplying by the fraction breathed by Newton, each breath of ours has about 6.08 x 109 molecules also breathed by him (D). Since we have about 9 x 108 breaths, each breath of ours has about 7 molecules also breathed by Isaac Newton.
( Fucking hell Jeff I am not a robot, Thu 10 Nov 2011, 11:46, Reply)

prove it.

( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:48, Reply)

Continuous complexity theory prevents me from doing so. Sorry.

( Fucking hell Jeff I am not a robot, Thu 10 Nov 2011, 11:49, Reply)

So you just wasted a shit load of time copying stuff from google.
pisser.
( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:50, Reply)

Nope. Very little time.

( Fucking hell Jeff I am not a robot, Thu 10 Nov 2011, 11:53, Reply)

can you express how much mathmatically?

( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:53, Reply)

Nope. I am going for a snooze now.

( Fucking hell Jeff I am not a robot, Thu 10 Nov 2011, 11:55, Reply)

Enjoy!

( mark morrisons prison shoes I love Willie, Thu 10 Nov 2011, 11:57, Reply)

Oversimplification.
It assumes a uniform distribution of particles and doesn't take into account the creation and distruction of particles over time. Also assumes a standard breath size. Also ignores uncertainty principle.

... dude.
(PsychoChomp, Thu 10 Nov 2011, 11:57, Reply)

, how many of the air molecules would also been breathed by the patron saint of Physics, Sir Isaac Newton (1642-1727)during his life time, the atmosphere is about 8 km high, and the molecules in the air each occupy a space representing a little cubic box about 3.33*10^-9 m along a side, the earths radius is 6..38*10^6. make any reasonable assumptions for any data needed.

a) 6 b) 6*10^3 c) 6*10^6 d) 6*10^9 e) 6*10^12
Every move you make
Every bond you break
Every step you take
I'll be watching you
(Reverend Fister "a disciplined fuckwit", Thu 10 Nov 2011, 11:54, Reply)

on the radio right now that

(Quintno EXPERIMENT RUINED CANCELLED, LEFT 4EVER, Thu 10 Nov 2011, 12:04, Reply)