Question 7 A solid steel sphere of radius 20 cm has a density of 2000 kg/m. The sphere is then submerged in a fluid whose density is 1500 kg/m2. (a) What is the true weight of the sphere? (b) What is the buoyant force on the sphere? (c) What is the apparent weight of the sphere?

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Chapter1: Units, Trigonometry. And Vectors
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Question 7 A solid steel sphere of radius 20 cm has a density of 2000 kg/m3. The
sphere is then submerged in a fluid whose density is 1500 kg/m³.
(a) What is the true weight of the sphere?
(b) What is the buoyant force on the sphere?
(c) What is the apparent weight of the sphere?
Question 8 A pipe whose initial diameter is 20 cm runs horizontally for 15 m. The
fluid flows through this part of the pipe with a velocity of 12 m/s. Then, the pipe bends
upwards and rises to the second floor which is 10 m above the ground floor. At this
point the pipe then constricts to a radius of 5 cm and runs for a final 3 m horizontally.
Calculate the difference in pressure between the initial part of the pipe and the final part
of the pipe. Assume the density of the water in the pipe is 1000 kg/m³.
Transcribed Image Text:Question 7 A solid steel sphere of radius 20 cm has a density of 2000 kg/m3. The sphere is then submerged in a fluid whose density is 1500 kg/m³. (a) What is the true weight of the sphere? (b) What is the buoyant force on the sphere? (c) What is the apparent weight of the sphere? Question 8 A pipe whose initial diameter is 20 cm runs horizontally for 15 m. The fluid flows through this part of the pipe with a velocity of 12 m/s. Then, the pipe bends upwards and rises to the second floor which is 10 m above the ground floor. At this point the pipe then constricts to a radius of 5 cm and runs for a final 3 m horizontally. Calculate the difference in pressure between the initial part of the pipe and the final part of the pipe. Assume the density of the water in the pipe is 1000 kg/m³.
Question 11 1.5 kg of coffee, originally at 90°C, is placed into a .3 kg aluminum cup.
After some time, you pour 0.5 kg of milk, whose initial temperature was 5°C. What will
be the final equilibrium temperature of this system? Let:
J
J
Ccoffee = 4186
kg K
CAI = 500
kg K
J
3000
kg K
CMilk
Question 12 A solid steel sphere of radius 50 cm is heated to 3000 K. If the sphere
acts as a perfect radiator, calculate the amount of heat it will radiate after 1 min.
Transcribed Image Text:Question 11 1.5 kg of coffee, originally at 90°C, is placed into a .3 kg aluminum cup. After some time, you pour 0.5 kg of milk, whose initial temperature was 5°C. What will be the final equilibrium temperature of this system? Let: J J Ccoffee = 4186 kg K CAI = 500 kg K J 3000 kg K CMilk Question 12 A solid steel sphere of radius 50 cm is heated to 3000 K. If the sphere acts as a perfect radiator, calculate the amount of heat it will radiate after 1 min.
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