Aproton moving at 0.999 of the speed of light orbits a black hole 3249 km from the center of the attractor. what is the mass of the black hole? a proton moving at 0.999 of the speed of light orbits a black hole 3249 km from the center of the attractor. what is the mass of the black hole? 4.39 × 1030 kg 4.39 × 1036 kg 4.39 × 1033 kg 4.39 × 1025 kg

The mass of the black hole is

The proton moves in a circular orbit of radius r around the black hole with a speed v. The centripetal force required by the proton is provided by the gravitational attractive force between the proton and the black hole.

Here, the mass of the black hole is M, the mass of the proton is m and G is the universal gravitational constant.

Rewrite the expression for M.

Substitute for v, for r and for G.

Therefore, the best option from the given values is