Ll objects can be considered to be homogeneous spheres.
tempel 1 is a typical comet. in 2005 nasa sent the probe, "deep impact", to collide with tempel 1 at high speed, in order to gain information about the structure of comets.
the orbit of tempel 1 around the sun is elliptical, with the sun at one focus of the ellipse. in this orbit, tempel 1 is 2.26 × 108 km from the sun at its closest approach, and 7.08 × 108 km from the sun at its furthest approach.
in a future mission a probe could be placed on the comet’s surface to extract a sample of the surface material.
a) show that the minimum speed, with which the probe would have to leave the surface in order to escape from the comet, is 1.27 m s-1.ignore the motion of tempel 1.
b) the speed at which "deep impact" struck the comet’s surface was 1.02 × 103 m s-1. explain, whether or not, "deep impact", with this speed, could have gone into orbit around the comet