4 Problem Captain Jean-Luc Picard decides, as a last resort, to ram the asteroid (of mass mg = 2,000 kg) with his starship (of mass mA = 1,000 kg) in an attempt to deflect it from the planet. At the instant just before Capt. Picard decides to take action the Enterprise and the asteroid are moving in opposite directions, at speeds VA = 300 m/s and VB = 500 m/s, respectively. Part A: Capt. Picard commands his helmsman, Geordi La Forge, to match the asteroids speed and intercept it at an angle 0 = 60 deg.. Geordi sets the thruster to apply an impulse of At = 2 seconds but is unsure what directions the thrusters should point and how much force they should apply. What is the average force vector that Geordi must command during this interval? Part B: After the impulse, the Enterprise becomes embedded in the asteroid. What is their combined speed and direction? Before After A Impact 0 UB VA Impact

4 Problem Captain Jean-Luc Picard decides, as a last resort, to ram the asteroid (of mass mg = 2,000 kg) with his starship (of mass mA = 1,000 kg) in an attempt to deflect it from the planet. At the instant just before Capt. Picard decides to take action the Enterprise and the asteroid are moving in opposite directions, at speeds VA = 300 m/s and VB = 500 m/s, respectively. Part A: Capt. Picard commands his helmsman, Geordi La Forge, to match the asteroids speed and intercept it at an angle 0 = 60 deg.. Geordi sets the thruster to apply an impulse of At = 2 seconds but is unsure what directions the thrusters should point and how much force they should apply. What is the average force vector that Geordi must command during this interval? Part B: After the impulse, the Enterprise becomes embedded in the asteroid. What is their combined speed and direction? Before After A Impact 0 UB VA Impact