A boxcar of length 9.5 m and height 2.4 m is at rest on frictionless rails. Insi

Question

A boxcar of length 9.5 m and height 2.4 m is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 2800 kg) a tank containing 1700 kg of water is located at the left end. The tank is 1.0 m long and 2.4 m tall. At some point the walls of the tank start to leak, and the water fills the floor of the boxcar uniformly. Assume that all the water stays in the boxcar. After all the water has leaked 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.)
It says to use the conservation of momentum to calculate the answer
What is the displacement of the boxcar 8 s after the water has settled in the bottom. (Take positive displacement as being to the right.)

Explanation / Answer

initial momentum = final momentum

initial momentum = 0 = final momentum

final velocity will be zero

part b )

Xcm = [2800 * 4.75 + 1700 * .5] / (2800 + 1700 )

Xcm = 3.14 m

displacement = 4.75 - 3.14 = 1.61 m

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