Question

A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed Vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid is approximately spherical, with an average density p= 3.97 x 106 g/mº and volume V = 3.09 x 1012 mº. Recall that the universal gravitational constant is G = 6.67 x 10-11 N.m²/kg. Vesc = m /s

Answer 1

Pu accelerahiion dut to gravidy e th Aste reid given y G1m R2 but mars Plant G1.8.v R2 VE R3 2ut 3 3V R = uT 1663x13.9x 3 2/3 =0.010mls2 es cape velecity given by Now tha Vesc = 21 3V 3x 3.09x162- प Vesc = 13.4 mls