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The second term should be 3y[sup]2[/sup]r.3r[sup]2[/sup]y - 3yr[sup]2[/sup] + y[sup]3[/sup] = (3960[sup]3[/sup] 3955[sup]3[/sup])miles[sup]3[/sup]
Thanks! FixedThe second term should be 3y[sup]2[/sup]r.
Otherwise ... good point.
3y[sup]2[/sup]r is likely to be too small to be significant given that y[sup]2[/sup] is 10[sup]-10[/sup].
Hence, Chalnoth's approximation is probably good ... and, of course, comparing to the above answers ... it is good.
Well, technically, if it wasn't affected by any outside force, it would collapse under its own gravity.Keep in mind, no water sphere would exist there. The low temp and pressure would simply evaporate the water into a cloud of tiny ice crystals that would then drift off as gravity dictated.
Keep in mind, no water sphere would exist there. The low temp and pressure would simply evaporate the water into a cloud of tiny ice crystals that would then drift off as gravity dictated.
Keep in mind, no water sphere would exist there. The low temp and pressure would simply evaporate the water into a cloud of tiny ice crystals that would then drift off as gravity dictated.
Well, technically, if it wasn't affected by any outside force, it would collapse under its own gravity.
There would also be a fair amount of photodissociation taking place due to solar radiation.
You people don't get it... God kept the ice shield together. He just told the physical laws of the unvierse to Take A Hike.![]()
And allegedly hit the moon very hard on all sides as He moved the water away, leaving great big holes that look just like impact craters.You people don't get it... God kept the ice shield together. He just told the physical laws of the unvierse to Take A Hike.![]()
You got a problem with that??And allegedly hit the moon very hard on all sides as He moved the water away, leaving great big holes that look just like impact craters.
Well its not there anymoreI wonder how the Voyager probes (among others) managed to fly through that layer at 40.000 miles per hour without harm.
Peter![]()
And allegedly hit the moon very hard on all sides as He moved the water away, leaving great big holes that look just like impact craters.
Let me get this straight - some super-intelligent being created the universe from nothing, made humans from dust and couldn't avoid the moon when removing a shed load of water from the earth?You got a problem with that??![]()
Let me get this straight - some super-intelligent being created the universe from nothing, made humans from dust and couldn't avoid the moon when removing a shed load of water from the earth?
Can he not drive?
r[sup]2[/sup] = 396 x 10[sup]3[/sup] + y[sup]3[/sup] = 3955 x 10[sup]3[/sup] = 3.84171392 x 10[sup]21[/sup]For a little lesson in both approximation and using the Google calculator, here:
First, since the Google calculator is going to take care of our units, let's leave those in and just do the following. I'll rewrite the last line in the above train of thought, combining terms on the left, and writing the expression the number on the right came from:
3r[sup]2[/sup]y - 3ry[sup]2[/sup] + y[sup]3[/sup] = (3960[sup]3[/sup] – 3955[sup]3[/sup])miles[sup]3[/sup]
with:
y = 1cm
Now, first of all, we know that the answer to r is going to be pretty big: it's got to be significantly larger than the nearly 4,000 miles we already have, which is vastly larger than the number y (1cm). Since r is going to be something like a million times larger than y, we are only affecting things around the sixth decimal place (or further out) by just dropping all but the term with the greatest power in r. So we can simply rewrite the above as:
3r[sup]2[/sup]y = (3960[sup]3[/sup] – 3955[sup]3[/sup])miles[sup]3[/sup]
Rewrite in terms of r:
r = sqrt((3960[sup]3[/sup] – 3955[sup]3[/sup])miles[sup]3[/sup]/(3*1cm))
Now we can just plug that into the Google calculator to get a result.
Voila!
3 550 016.71 miles
(put whatever units you want for an alternative answer)