The schwarzschild radius rbh for an object of mass m is defined as: rbh = (2gm)/(c^2)
where c is the speed of light and g is the universal gravitational constant. rbh gives the radius of the event horizon of a black hole with mass m (in other words, it gives the radius to which some amount of mass m would need to be compressed in order to form a black hole).
1) the mass of the sun is about 1.99 × 1030 kg. what would be the radius of a black hole with this mass?
2)the mass of mars is about 6.42 × 1023 kg. what would be the radius of a black hole with this mass?
3) suppose you want to make a black hole that is roughly the size of an atom (take rbh = 1.30 × 10-10 m). what would be the mass m of such a black hole?

There is a theory that indicates that dinosaurs became extinct when about 65 million years ago, a large asteroid hit the earth surface. dust caused by this collision blocked the sunlight reaching the earth's surface and many forms of life became extinct due to the cold. fearing this threat, how large the radius of an asteroid should you be looking for if the dangerous asteroid size is approximately the same as the one that killed the dinosaurs? available data suggests that about 18% of that asteroid's mass ended up as a dust spread evenly over earth after eventually settling out of the upper atmosphere. about 0.0180 g/cm^2 of dust, which is chemically different than the earth's rock, covered the earth's surface. typical asteroids have a density of about 1.9 g/cm^3. now that we know the size of the asteroid, how much energy was released during impact, assuming all of it was just the kinetic energy of the asteroid right before the impact?

Crowbar of 5 metre is used to lift an object of 800 metre if the effort arm is 200cm calculate the force applied

Argon, neon, and xenon are examples of