A black hole is an object so heavy that neither
matter nor even light can escape the influence
of its gravitational field. Since no light can
escape from it, it appears black. Suppose a
mass approximately the size of the Earth’s
mass 7.54 × 10^24 kg is packed into a small
uniform sphere of radius r.
Use:
The speed of light c = 2.99792 × 10^8 m/s.
The universal gravitational constant G =
6.67259 × 10^−11 N m^2
/kg^2
.
Hint: The escape speed must be the speed
of light.
Based on Newtonian mechanics, determine
the limiting radius r0 when this mass (approx-
imately the size of the Earth’s mass) becomes
a black hole.
Answer in units of m