rs, is equal to twice
the Gravitiational constant (G=6.67x10^-11 N(m/kg)^2) multiplied by the
mass of An average human has a mass of about 70kg, so by entering
that into the equation for the Schwarzschild radius, we get:
the object, and divided by the speed of light
(c=3x10^8 m/s) squared. As the Schwarzschild Radius relies only on an
objects mass, every object has an associated
So, lets find
a few Schwarzschild Radius' that are easy to relate to,
Which is equal to 1.04x10^-25
meters. or .1 yoctometer.
For the Earth, the equation would be:
So the Schwarzschild Radius of
the Earth is ~.009 meters.
shouldn't be worried about the Earth collapsing into
a black hole. So, using the equation for the Schwarzschild radius, its
pretty easy to see that it requires a lot of mass to have a
realistic point that an object can be compressed to so as to create a
gravitational singularity. As another example, the Schwarzschild radius
of the sun is around 3 kilometers. This should also show just how
incredibly dense an object becomes for it to collapse under the force
of its own gravity.
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