1. In a hydraulic system, the larger piston to be used to lift a 1670kg car has a diameter of 24.2cm. Assume both pistons are at the same level.
a) If a person wishes to push on the smaller piston manually to lift the car, what force must he apply if the small piston has a diameter of 3.36cm?
b) If instead compressed air at 115 psi of pressure is used, what is the largest mass car (in kg) that the system can lift?
2. A nurse uses a syringe with an inner diameter of 6.00mm. What force must a nurse apply to the plunger of the syringe to inject medicine into a patient if the pressure in the tissue where the needle is injected is 12 torr above atmopsheric pressure.
3. A 10.0 x 10.0 x 10.0 cm wood block with a density of
\(720 kg/m^{3}\)
floats in water. Find the distance from top of the block to the water if the water is (a) fresh water at 4 degrees celus and (b) sea water.
4. A 87.5 gram piece of aluminum is suspended from a spring scale calibrated in Newtons. Find the reading on the scale when the piece of aluminum is in (a) air (b) water and (c) ethyl alcohol.
5. Using the spring scale from problem 4, an unknown metal sample has a weight of 1.244 N in air and a weight of 0.735 N when submerged in water. Find the density of the sample in
\(kg/m^{3}\).
6. A spherical balloon has a radius of 9.50m. It is filled with helium at 1.00 atmopshere. If the skin an structure of the balloon has a mass of 1000 kg, what additional load can the balloon lift?
7. A rectangular barge 20.0 m wide by 40.0 m long has a mass of 65,000 kg. It is loaded with 400,000 kg of iron ore. How deep into fresh water does the barge sink?