Having aced your introductory physics course, you are hired as a summer intern at NASA. You are sent as part of a team to explore the possibility of mining iron from a small, airless spherical asteroid with a radius of 461 km and a surface acceleration of 3.4 m/sec 2.m 1) What is the mass of the asteroid? 1.15*10^22kg2) What is the minimum vertical velocity you could give a 3 kg rock from the surface of this asteroid so that it continues to move upwards forever (i. e. it would never return to the surface)? 1797.13 m/sec3) What is the minimum vertical velocity you could give a 6 kg rock from the surface of this asteroid so that it continues to move upwards forever (i. e. it would never return to the surface)? 1797.13 m/sec4) How far will the 3 kg rock go if it leaves the asteroids surface with a vertical velocity of 1000 m/sec?";m5) What will the speed of the 6 kg rock be at the surface of the asteroid if it is dropped from a point 1000km above the surface of the asteroid?m/sec