A submarine is submerged at a depth of 1213 m. If the atmospheric pressure at the surface is 0.99 bar, the water density is 1000 kg m-3 , and gravity is 9.801 m s-2 , determine:

a) The pressure on the hull of the submarine in [bar] If the volume of the sub is 3×107 ft3 , and the air density inside the sub is 1.23 kg m-3 , determine:
b) The mass of air inside the sub in [kg]
c) The mass of water displaced by the sub in [kg]
d) The buoyancy of the sub in [MN]
Show all calculations, equations, and unit conversions otherwise no points will be given.

Your starship, the aimless wanderer, lands on the mysterious planet mongo. as chief scientist-engineer, you make the following measurements: a 2.50-kg stone thrown upward from the ground at 14.0 m/s returns to the ground in 5.70 s ; the circumference of mongo at the equator is 2.20×10^5 km ; and there is no appreciable atmosphere on mongo. (a) the starship commander, captain confusion, asks for the following information: what is the mass of mongo? (b) if the aimless wanderer goes into a circular orbit 2.20×10^4 km above the surface of mongo, how many hours will it take the ship to complete one orbit? (c) an unmanned spacecraft is in a circular orbit around the moon, observing the lunar surface from an altitude of 44.0 km . to the dismay of scientists on earth, an electrical fault causes an on-board thruster to fire, decreasing the speed of the spacecraft by 23.0 m/s . if nothing is done to correct its orbit, with what speed (in km/h) will the spacecraft crash into the lunar surface?