Spaceman Spiff accidently drops his wristwatch as he passes a neutron star of mass M = 3 x 10^(30) kg and radius R = 20 km. You may assume that the watch starts from rest at a large distance from the star.

  1. Spiff observes his watch as it falls. At what height above the surface does the watch's ticking begin to slow down appreciably?

  2. Estimate the energy released when the watch strikes the surface of the neutron star. Express the result in terms of kilotons of TNT: 1 kTon = 4 x 10^(12) Joules.