AP Physics – Fluids – Bouyancy 2 wkshtNAME:______

Answer the following questions on a separate sheet of paper

1.) A silver (S.G. = 10.5) coin that weighs 10 N is submerged in water. How much does it now weigh?

2.) A submerged ball ofmassmb and volume V is lowered on a string into a fluid of density ρf. Assume that the object would sink to the bottom if it were not supported by the string. What is the tension T in the string when the ball is fully submerged but not touching the bottom?

Express your answer in terms of any or all of the given quantities in the problem and ag.

3.) There are six different blocks listed below. In each case, the blocks are held completely submerged in the water.

A) Rank these blocks from smallest to largest density.

B) If these blocks were released when submerged in water, which, if any, would sink to the bottom?

4.) Scientists have found evidence that Mars may once have had an ocean 0.500 km deep. The acceleration due to gravity on Mars is 3.71m/s2.

A.) What would be the gauge pressure at the depth of 0.184 km of such an ocean, assuming it was salt water (ρsw = 1.03 x103 kg/m3)?

B.)To what depth would you need to go in the Earth’s ocean (again, salt water) to experience the same gauge pressure?

5.) In intravenous feeding, a needle is inserted in a vein in the patient's arm and a tube leads from the needle to a reservoir of fluid (density 1050 kg/m3) located a height h above the arm. The top of the reservoir is open to the air. If the gauge pressure inside the vein is 5980 Pa, what is the minimum value of h that allows fluid to enter the vein? Assume the needle diameter is large enough that you can ignore the viscosity of the fluid.

6.) There is a maximum depth at which a diver can breathe through a snorkel tube because as the depth increases, so does the pressure difference, tending to collapse the diver's lungs. Since the snorkel connects the air in the lungs to the atmosphere at the surface, the pressure inside the lungs is atmospheric pressure. What is the external-internal pressure difference when the diver's lungs are at a depth of 6.1 m? Assume that the diver is in fresh water. (A scuba diver breathing from compressed air tanks can operate at greater depths than can a snorkeler, since the pressure of the air inside the scuba diver's lungs increases to match the external pressure of the water.)