Mass of a Come L On July 4, 2005, the NASA spacecraft Deep Impact fired a projectile onto the surface of Comet Tempell. This comet is about 9.0 k/n across. Observations of surface debris released by the impact showed that dust with a speed as low as 1.0 m/s was able to escape the comet.
(a) Assuming a spherical shape, what is the mass of this comet? (Hint: See Example 12.5 in Section 12.3.)
(b) How far from the comet's center will this debris be when it has lost (i) 90.0% of its initial kinetic energy at the surface; and (ii) all of its kinetic energy at the surface?