1. A submarine rests in 20m of sea water. The hatch of teh submarine is 1m x 0.5

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1. A submarine rests in 20m of sea water. The hatch of teh submarine is 1m x 0.5m. The internal pressure of the submarine is 90% of atmosphere. How much force must a diver exert against teh pressure of the sea in order to open the hatch?

2. A very large barrel full of water (that has the top open to the air) has a spigot near the bottom, at a depth of 150cm beneath the water surface. The bottom of the barrel is 5 meters up from the floor. The spigot is directed horizontally and is open, how fast does the water come out? How far horizontally does the water land?

3. While standing on a distant planet, it is found that a 1.5 m long pendulum has a period of 12s. what is the acceleration on the planet?

4. A 5g bullet is fired horizontally into a 0.50kg block of wood resting on a frictionless table. The block, which is attached to a horizontal spring, retains the bullet and moves forward, compressing the spring. The block-bullet system goes into SHM with a frequency of 9 Hz and amplitude of 15cm. What is the initial speed of the bullet?

5. A barber chair is supported by a piston that is 6 cm in diameter. the chair and its occupant have a total mass of 100 kg. What pressure is required to raise the chair and its occupant? If the pressure is produced by a plunger whose diameter is 1.5cm, what force is needed to accomplish the task?

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