In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence termed a "hot Jupiter"). The orbit was just 1/9 the distance of Mercury from our sun, and it takes the planet only 3.09 solar days to make one revolution (assumed to be a circular orbit). (a) How fast is this planet moving? (b) What is the mass of the star HD 179949? (Orbital radius of the Mercury is 5.79*10 m, one solar day has 86,400s)