A tank is falling from a plane. They use the main gun to fly the tank as it is falling and to slow it down before it hits the lake. The tank has a weight of 60 tons (M=54,000 kg), fires shells with a mass of 20kg, each with a muzzle speed of 1750 m/s. The gunner can load and fire one round every six seconds. The length of the tank is 9.8m, 3.5m wide, and 2.9m in height. The center of mass is measured from the bottom of the tracks. Assume that the center of mass of the tank is in line with the main cannon and the tank is initially traveling at a terminal speed of 340m/s. It takes 62 m/s for the shell to exit the barrel once fired. The center of mass of the tank is not in line with the main cannon. When any projectile was fired, the tank would begin to rotate about its center of mass. The barrel is 4 m long and has a mass of 1300 kg. The turret has a width and length of 1.5 m and a height of 1.2 m and has a mass of 16,800 kg. The base has length of 9.8 m, width of 3.5m and height of 2.9 m and mass of 35,900 kg. Assume that the mass is uniformly distributed for each piece.

1. What is the speed of the projectile in m/s relative to the ground once it leaves the barrel?
2. How many shells would have to be fired in order to stop the tank?
3. How long would it take in seconds for the tank gunner to fire all of those shells?
4. What average acceleration in m/s would this impart to the tank due to the firing of each projectile.
5. Determine the height of the center of mass of the tank in meters, relative to the bottom of the tracks.
6. Determine the rotational inertia in Mgm^2 of the base about an axis parallel to the width and passing through the center of mass of the tank.
7. Determine the rotational inertia in Mgm^2 of the turret about an axis parallel to the width and passing through the center of mass of the tank
8. Determine the rotational inertia in Mgm^2 of the barrel about an axis parallel to the width and passing through the center of mass of the tank
9. Determine the rotational inertia in Mgm^2 of the tank about an axis parallel to the width and passing through the center of mass of the tank
10. Determine the average force in KN, required to propel the shell out of the barrel