Earth is estimated to host life for at least
another billion years, if no disasters that
could destroy Earth happen.
The moon is indeed getting away from Earth, at
the rate of 3.8 cm/year from Earth. But no
worries, it won't impact us in the near
future. Assuming the rate stays the same (3.8
cm per year), the closest planet that the moon
will probably hit is Mars, which is
5.46*107 kilometers (or 5 460 000 000
000 cm) away from Earth. So based on the
simplest assumption, it would take 1437 billion
years before the moon hits Mars. This is
definitely not the concern for us, because our
sun will only last for another 5 billion years
before it runs out of fuel.
Just keep in mind, the moon and other planets
are actually quite far away from us. The moon is
much closer to us, with an average distance of 384
402 kilometers from us. Even if we assume it is
moving toward us at the same rate of 3.8 cm per
year, it would still take 10 billion years
before it hits us. Of course, the assumption
of the same rate of 3.8 cm per year is not true
forever because the magnitude of gravity
depends on the distance of two subjects, which
would otherwise influence the rate for Moon to
There are other concerns that you should
consider as the end of the world. The first one is
the war between us. We already have the
ability to destroy our Earth, or at least make it
uninhabitable for life using nuclear
weapons alone. Some other disasters could
also end the world such as the slower or abrupt
climate change (it could take thousands or
millions of years, but still it is much shorter
compared to the above estimation of billion
years), the unexpected asteroid hitting Earth
(could happen anytime in principle).
Wikipedia has an article about your question:
future of Earth .
The article says in 1 billion yrs, about 27%
of the ocean will go under the surface of the
It also says the Moon and Earth might collide
in about 65 billion yrs, if they haven't both been
destroyed by the sun by that time.
The moon is moving away from the earth as the
earth slows down its rotation. When the earth's
rotation equals the orbit of the moon, the moon
will stop moving away. Unless some other planet
disrupts the earth-moon system, the moon will
not hit another planet.
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