007 10.0 points A 4200 kg rocket traveling at 3200 m/s is mov- ing freely through space on a journey to the moon. The ground controllers find that the rocket has drifted off course and that it must change direction by 11" if it is to hit the moon. By radio control the rocket's engines are fired instantaneously (i.e., as a single pellet ) in a direction perpendicular to that of the rocket's motion. The gases are expelled (i.e., the pel- let) at a speed of 4900 m/s (relative to the rocket). What mass of gas must be expelled to make the needed course correction? Answer in units of kg. 008 10.0 points A grocery shopper tosses a(n) 8.5 kg bag of rice into a stationary 17.4 kg grocery cart. The bag hits the cart with a horizontal speed of 5.5 m/s toward the front of the cart. What is the final speed of the cart and bag? Answer in units of m/s. 009 10.0 points A(n) 11 g bullet is fired into a(n) 99.6 g block of wood at rest on a horizontal surface and stays inside. After impact, the block slides 8.9 m before coming to rest. The acceleration of gravity is 9.8 m/s. If the coefficient of friction between the surface and the block is 0.5, find the speed of the bullet before impact. Answer in units of m/s.010 10.0 points An 1950 kg car stopped at a traffic light is struck from the rear by a 829 kg car and the two become entangled. If the smaller car was moving at 19 m/s before the collision, what is the speed of the entangled mass after the collision? Answer in units of m/s. 011 10.0 points Two students on roller skates stand face-to- face, then push each other away. One student has a mass of 91 kg and the second student 67 kg. Find the ratio of the magnitude of the first student's velocity to the magnitude of the second student's velocity