1. Find the force acting on the roof of a 7m x 7m airtight building due to the difference in air pressure created during a hurricane with 78 m/s winds.
2. A large open tank contains liquid with a density of 1200 kg/m3 at a depth of 10 m. A 5 x 10-3 m2 pipe leads from the bottom of the tank to a 3 x 10-4 m2 spigot at a height of 0.5 m Just after the spigot is opened, find:
a. the speed at which the liquid exits the spigot and
b. the pressure in the 5 x 10-3 m2 pipe.