1. Oil of density .7 g/cm3 is is held in a large container, 20m off the ground a

Question

1. Oil of density .7 g/cm3 is is held in a large container, 20m off the ground and filled to a height of 2 m, flows into a 1 cmdiameter tube through a hole in the bottom of thecontainer. Estimate the speed at which the oil flows out ofthe tube at ground level. a) 7 m/s   b)7cm/s c) 21 m/s d) 21 cm/s 2. A square wooden raft sinks halfway into the water unloadedand sinks all the way into the water without sinking when carryinga load of 200 kg. Find the mass of the raft a) 100 kg b) 200kg c) 400 kg d) 980 kg 1. Oil of density .7 g/cm3 is is held in a large container, 20m off the ground and filled to a height of 2 m, flows into a 1 cmdiameter tube through a hole in the bottom of thecontainer. Estimate the speed at which the oil flows out ofthe tube at ground level. a) 7 m/s   b)7cm/s c) 21 m/s d) 21 cm/s 2. A square wooden raft sinks halfway into the water unloadedand sinks all the way into the water without sinking when carryinga load of 200 kg. Find the mass of the raft a) 100 kg b) 200kg c) 400 kg d) 980 kg

Explanation / Answer

1. Consider a small mass m of oil, by energy conservation law whenit flow from top to the ground: mg(H+h) = mv^2 / 2 ==> v = (2g(H+h)) = 21 m/s 2. The mass of the raft is obviously 200kg

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