Problem 2) (100 points) A cube with a side length of 30 cm, floats fully submerg

Question

Problem 2) (100 points) A cube with a side length of 30 cm, floats fully submerged and stationary in a lake with its top face exactly 20 m below the surface of a lake (see diagram): 1) What is the volume of the cube in cm and m' and the area of one face of the cube in m? (20 points) 2) What is the total downward force that the water and atmosphere exerts on the top of the mass? (30 points) 3) What is the buoyant force exerted on the mass? (30 points) 4) What is mass of the cube (Hint: Newton II) (20 points) 1o-iflesson 30 kn

Explanation / Answer

Q: 1 volume = r^3= ( 0.3)^3=0.027 m^3

area of one side = 0.3^2= 0.09 m^2

Q: 2 pressure = force/area

force = pressure x area = area ( pressure exerted by atomsphere + pressure exerted by water) = 0.09 (10132526 Pa + 9.8 (1000) (20 ) = 26759.25 N

Q: 3 Boyant for ce= (1000) ( 9.8) ( 0.027)=264.6N

Q: 4 mass of solid = mass of water displaced = volume x density = 0.027 ( 1000) = 27 kg

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