Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth, made of a material whose density is 400 kg/m³, and is released from rest. Under these conditions: a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves in the fluid, and indicate the direction of motion. b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere when its speed is half its terminal speed. c. Suppose the sphere is now placed in an oil whose viscosity and density at room temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What happens to the terminal speed of the sphere: does it increase, decrease, or stay the same? Justify your answer.

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Chapter1: Units, Trigonometry. And Vectors
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Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a
viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth,
made of a material whose density is 400 kg/m³, and is released from rest. Under these
conditions:
a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves
in the fluid, and indicate the direction of motion.
b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere
when its speed is half its terminal speed.
c. Suppose the sphere is now placed in an oil whose viscosity and density at room
temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What
happens to the terminal speed of the sphere: does it increase, decrease, or stay the same?
Justify your answer.
Transcribed Image Text:Inside a large container filled with glycerin at rest, which has a density p=1260 kg/m³ and a viscosity n=0.830 Pa's, a sphere with a radius of 2.50 cm is inserted to a sufficient depth, made of a material whose density is 400 kg/m³, and is released from rest. Under these conditions: a. Draw a free-body diagram, showing all the forces the sphere is subjected to as it moves in the fluid, and indicate the direction of motion. b. Determine the terminal speed of the sphere and calculate the acceleration of the sphere when its speed is half its terminal speed. c. Suppose the sphere is now placed in an oil whose viscosity and density at room temperature are less than those of glycerin (poil-875 kg/m³ y noil-0.255 Pa's). What happens to the terminal speed of the sphere: does it increase, decrease, or stay the same? Justify your answer.
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