Question

Far out in space, a bored astronaut fires an antique gun at a sack of rocks (mass M). The bullet (mass m) bounces around inside the sack a few times, eventually emerging with a reduced, but still high, speed. As the bullet flies off into space, the astronaut remembers with dismay that it was a priceless historical artifact. Fortunately, the astronaut knows the initial speed v_0 of the bullet, and that the sack was initially at rest but after being hit was found to be moving with speed v_s at angle theta_s, as shown in the diagram. In what direction should the astronaut pursue the bullet, assuming that he starts from the initial location of the sack, and what minimum speed v_D must he go faster than in order to catch up with it? Use the numerical values given below, and enter the direction as an angle theta_D measured clockwise from the x-axis. m = 0.0250 kg M = 45.0 kg v_ = 1550 m/s v_s = 0.655 m/s theta_s = 295 degree

Answer 1

Sol'n tuen :- massa bullet tm): О.02JO kg a-? beboe momentum aloma x- dlisechim, apps Comservahion momendum Tni tial momentun odain -alorgy.dinatign. Afrus momenhem conservatiet