1) You are the head engineer for a 3,000 kg rocket that is nearing the moon at a speed of 20,000 kilometers per hour (5,556 m/s). It needs to quickly slow to 10,000 kilometers per hour (2,778 m/s) to begin a controlled descent to the surface. If the rocket descends too fast it will crash and too slowly it will run out of fuel. The rocket has a new braking system consisting of several 6.00 kg metal spheres on the front of the rocket that can be fired straight ahead. Each has an explosive charge that fires it at a speed of 120,000 meters per second with respect to the rocket. You need to send the rocket’s computer system a message telling it how many spheres to fire. How many spheres would need to be fired for a safe landing?