1.
The Schwarzschild radius of an object of mass M is given by:
(1)
where
G is the gravitational constant
M is the mass of the object
c is the speed of light
The black hole in the problem has a mass of
where
is the solar mass. Substituting,
and substituting into eq.(1), we find the Schwarzschild radius of this black hole:
2) 242.8 solar radii
We are asked to find the radius of the black hole in units of the solar radius.
The solar radius is
Therefore, the Schwarzschild radius of the black hole in solar radius units is
The energy in a firecracker is completely chemical energy, in the gunpowder
or whatever else it's loaded with. When that powder burns, the smoke and hot
gas creates high pressure inside the can, which eventually blows the can open,
blowing out all the little burning grains of powder, and sending a shock wave out
through the surrounding air to make the 'POP'. So you have the chemical energy
released as heat, kinetic energy of all the fragments that fly out, and electromagnetic
energy of the heat and the visible light. That looks like Choice-'D'.
Answer:
Explanation:
The rotational kinetic energy is given by:
the moment of inertia for this case is given by:
So the total kinetic energy is: