At t = 0 the 4x1030Kg Sun has a velocity of <-7x104, -6x104,-8x104> m / s and is located at <-2.00x1012, -5.00x1012,-4.00x1012> m relative to the center of the universe. The massof a second star is 3x1030Kg and its speed is <-2x104,1x104,-9x104> m / s and it is located at the position of<-2.03x1012,4.94x1012, -3.95x1012> m relative to the centerof the universe.
a) What is the relative position vector of the Sun in relation tothe other star? (make a small graphic representation)
b) Calculate the gravitational force on the Sun due to thesecond star. (make a small graphic representation)
c) What is the approximate linear momentum of the second star att = 1x104s?
d) What is the approximate position of the second star at t =1x104 s?
e) What is the new relative position vector of the Sun inrelation to the other star? (make a small graphicrepresentation)
f) What is the force experienced by the Sun due to the secondstar when t = 1x 104s? (assume that the position of the Sun has notchanged, make a small graphic representation)
NOTE: You must use a minimum of 5 digits in all of yourposition, velocity, momentum, and force vector results.
