containing 2000 kg of water is located at the left end. The tank s water fills t
ID: 2037464 • Letter: C
Question
containing 2000 kg of water is located at the left end. The tank s water fills the floor of the boxcar uniformly. Assume that all the water stays in the boscar. After all the water has leaked A boxcar of length 9.9 m and height 2.4 m is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 2800 kg) a tank 1 m long and 24 m tall. At some point the walls of the tank st out what will be the final velocity of the boxcar? (Take movement to the right as positive. Assume that the mass of the boxcar is evenly distributed.) tof the boxcar 10 S after the water has settled in the bottom. (Take positive displacement as being to the right.) 29.53 mExplanation / Answer
The CM of the filled water tank is located (9.9 - 0.55m) = 9.35 meters from the right end.
The water has a mass of 2000 kg, and when it has all leaked out of the tank, its CM is (9.9/2) = 4.95 meters from the right end.
Note that some water will still be in the tank in the end, as the floor of the tank and the floor of the boxcar are at the same level.
The shift in center of mass = (9.35 - 4.95) = 4.4 meters to the right end.
The mass of water which has actually NOT shifted is (1.1m/9.9m) x 2000 = 222.22kg. still in the tank when the water finds its own level.
Mass shifted = (2000 - 222.22) = 1777.78 kg.
(2800 + 2000)/(1777.78 x 4.4m) = 0.614 meters left (negative)
Thus, -0.614 m
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