1.The maximum gauge pressure in a hydraulic lift is 17.0 atm. What is the largest-size vehicle (kg) it can lift if the diameter of the output line is 25.5 cm?
- Water and then oil (which don’t mix) are poured into a tube, open at both ends. They come to equilibrium as shown in Fig. 10–50. What is the density of the oil?
[Hint: Pressures at points a and b are equal. Why?]
3.A wooden cube of volume 0.250 m3 is floating at the surface of a lake (fresh water) with 70% of the cube submerged. The wooden cube has uniform density (ρ). Determine:
- a) The force of buoyancy of the cube.
- b) The mass of the cube.
- c) The specific gravity of the cube.
- A hollow spherical buoy is held below the surface of a lake (fresh water) by a massless rope 3
anchored to the bottom of the lake. The sphere has a volume of 0.700 m . The tension in the rope is 950 N.
- a) Compute the force of buoyancy exerted by the water upon the sphere.
- b) Determine the mass of the sphere.
- A 35.0 kg child decides to make a raft out of empty 1.00 liter plastic soda bottles and duct tape. Neglecting the mass of the plastic in the bottles and duct tape, what minimum number of soda bottles will the child need to be able to stay afloat in a freshwater lake? 3 (Hint: the volume of 1 liter is 1000 cm .)
