A closed tank contains water at the bottom and pressurized air at the top. The water discharges to the atmosphere from an orifice at the bottom of the tank. The height of water is 2.5 m and diameter of the orifice is 10 cm. Assume frictionless flow and the water discharge is 0.147 m/s. i) Calculate the air pressure in the tank. (7 marks)

ii) Determine the new height of water, If the tank is now open to the atmosphere. (3 marks)

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)