AP Free Response Question
2009 B5
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Three objects of identical mass attached to strings are suspended in a large tank of liquid, as shown above.
(a) Must all three strings have the same tension? Justify your answer.
Object A has a volume of 1.0 x 10
^{-5}
m
^{3}
and a density of 1300 kg/m
^{3}
. The tension in the string to which object A is attached is 0.0098 N.
(b) Calculate the buoyant force on object A.
(c) Calculate the density of the liquid.
(d) Some of the liquid is now drained from the tank until only half of the volume of object A is submerged. Would the tension in the string to which object A is attached increase, decrease, or remain the same? Justify your answer.
Topic Formulas
Description
Published Formula
actual pressure in a fluid
Bernoulli's Equation
buoyancy
Continuity Equation
friction
gravitational potential energy
Hooke's Law
mass density
Newton's 2nd Law
Newton's Law of Universal Gravitation
pressure
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