Assume a certain liquid, with density 1 300 kg/m, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface. (a) Find the speed at which the ball enters the liquid. m/s (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. gravitational force buoyant force N (c) Explain why the ball moves down only a limited distance into the liquid. This answer has not been graded yet. Calculate this distance. m (d) With what speed does the ball pop up out of the liquid? m/s (e) How does the time interval Atdownr during which the ball moves from the surface down to its lowest point, compare with the time interval At, for the return trip between the same two points? O The down interval is greater. O The up interval is greater. O The two intervals are equal. (f) Now modify the model to suppose the liquid exerts a small friction force on the ball, opposite in direction to its motion. In this case, how do the time intervals Atgown and Atup compare? Explain your answer with a conceptual argument rather than a numerical calculation.

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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Assume a certain liquid, with density 1 300 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface.
(a) Find the speed at which the ball enters the liquid.
m/s
(b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid.
gravitational force
buoyant force
N
(c) Explain why the ball moves down only a limited distance into the liquid.
This answer has not been graded yet.
Calculate this distance.
liquid?
(d) With what speed does the ball pop up out of
m/s
(e) How does the time interval Atun during which the ball moves from the surface down to its lowest point, compare with the time interval At., for the return trip between the same two points?
O The down interval is greater.
O The up interval is greater.
O The two intervals are equal.
(f) Now modify the model to suppose the liquid exerts a small friction force on the ball, opposite in direction to its motion. In this case, how do the time intervals Atdown and At,n compare? Explain your answer with a conceptual argument rather than a numerical
calculation.
Transcribed Image Text:Assume a certain liquid, with density 1 300 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface. (a) Find the speed at which the ball enters the liquid. m/s (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. gravitational force buoyant force N (c) Explain why the ball moves down only a limited distance into the liquid. This answer has not been graded yet. Calculate this distance. liquid? (d) With what speed does the ball pop up out of m/s (e) How does the time interval Atun during which the ball moves from the surface down to its lowest point, compare with the time interval At., for the return trip between the same two points? O The down interval is greater. O The up interval is greater. O The two intervals are equal. (f) Now modify the model to suppose the liquid exerts a small friction force on the ball, opposite in direction to its motion. In this case, how do the time intervals Atdown and At,n compare? Explain your answer with a conceptual argument rather than a numerical calculation.
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