Let us consider the case of a body falling down radially towards a Schwarzschild black hole. The velocity of the body is as high as it would be if it had been falling from standstill at infinity. When the body finally fuses with the black hole (get infinitely close to the Schwarzshild radius), how much of the energy,mass it had at infinity is added to the black hole? Is the answer the same whether we use the usual anisotropic Schwarzschild coordinates or isotropic coordinates? When the falling object comes so close to the black hole that it starts to slow down, there will be radiation losses, I presume, so not all the energy the falling object contained at infinity will be added to the black hole.