(1) Boxcar A boxcar of length 8.7 T72 and height 2.4 T7 is at rest on frictionle
ID: 2036264 • Letter: #
Question
(1) Boxcar A boxcar of length 8.7 T72 and height 2.4 T7 is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 3900 k g) a tank containing 2300 kg of water is located at the left end. The tank is 0.9 rn long and 2.4 Tn tall. At some point the walls of the tank start to leak, and the water fils the floor of the ba car un formty 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.) Antwort einreichen Versuche 0/8 What is the displacement of the boxcar 5 S after the water has settled in the bottom. (Take positive displacement as being to the right.) Antwort eineeichen Versuche 0ye8 trag abschickenExplanation / Answer
Solution ;-
Taking the left end of the car to be x = 0, the CM of the combined loads is located at:
Xcm = (m1x1 + m2x2) / (m1 + m2)
where,
m1 = 3900 kg
m2 = 2300 kg
x1 = 4.35 m
x2 = 0.45 m
Xcmi = (3900*4.35 + 2300*0.45) / (3900 + 2300)
Xcmi = 2.9 m
When the water runs out, Xcmf = 4.35m (by symmetry)
However, due to conservation of momentum, the CM must stay in its original position relative to the outside
observer, so the car must move (4.35 - 2.9) = 1.45 m to the left of its initial position.
time is not useful in this problem.
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