1- 2. A hydraulic press has pistons of area .0060m² and 0.350m² respectively. A force of 25N is applied to the smaller piston. What is the lifting force on the bigger piston?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter15: Fluids
Section: Chapter Questions
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II.
PROBLEM SOLVING. Show complete solutions to the following problems in the BOXES provided and
CIRCLE final answers with units.
1- 2. A hydraulic press has pistons of area .0060m? and 0.350m? respectively. A force of 25N is
applied to the smaller piston. What is the lifting force on the bigger piston?
3 - 5. How high in m should an intravenous bag be for a liquid to just enter the vein? Assume that
the density of the fluid is equal to that of water and the blood pressure is 20. mmHg?
6 - 8. The plunger and the needle of a hypothermic syringe have areas of 0.50cm? and 0.00060cm?
respectively. To inject a vaccine, a nurse pushes the plunger with a force of 5.5N. What pressure in
Pa is transmitted to the vaccine?
9 - 11. The area of contact between an injection needle and the skin is a very tiny circle with a
diameter of 2.54x10°cm. If the needle exerts a force of 6.9×10²N, what is the pressure in Pa?
12 - 14. An aluminum ball of mass 54.0g and density of 2.70g/mL is placed in a beaker filled with
water. What is the volume of the ball? What is the volume of water that will spill out of the beaker?
What is the buoyant force of water on the ball?
Transcribed Image Text:II. PROBLEM SOLVING. Show complete solutions to the following problems in the BOXES provided and CIRCLE final answers with units. 1- 2. A hydraulic press has pistons of area .0060m? and 0.350m? respectively. A force of 25N is applied to the smaller piston. What is the lifting force on the bigger piston? 3 - 5. How high in m should an intravenous bag be for a liquid to just enter the vein? Assume that the density of the fluid is equal to that of water and the blood pressure is 20. mmHg? 6 - 8. The plunger and the needle of a hypothermic syringe have areas of 0.50cm? and 0.00060cm? respectively. To inject a vaccine, a nurse pushes the plunger with a force of 5.5N. What pressure in Pa is transmitted to the vaccine? 9 - 11. The area of contact between an injection needle and the skin is a very tiny circle with a diameter of 2.54x10°cm. If the needle exerts a force of 6.9×10²N, what is the pressure in Pa? 12 - 14. An aluminum ball of mass 54.0g and density of 2.70g/mL is placed in a beaker filled with water. What is the volume of the ball? What is the volume of water that will spill out of the beaker? What is the buoyant force of water on the ball?
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