Consider dropping a Professor with an estimated mass of 80 k

Consider dropping a Professor with an estimated mass of 80 kg from a safe, large distance, onto a SMBH with a mass of 10⁷M. The Prof makes an impact at the Schwarzschild radius, whereby he converts all of the gained kinetic energy into radiation with a 100% efficiency. Estimate this amount of energy, and express the result in the units of 1-MT hydrogen bombs; one of those releases about 4×10²²erg if dropped carelessly. Neglect the relativistic effects.

Solution

Then, find the change in gravitational potential energy of the professor at the event horizon, compared to that when he\'s at \"infinity\".

This GPE change equals his kinetic energy. From there, convert into ergs if need be, and compare to the nuclear weapon yield.