Question

A boxcar of length 8.5 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 2200 kg of water is located at the left end. The tank is 0.8 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. Asume that the mass f th bocais evenly distributed,) 0.0000 m/s You are correct. vi Your receipt no. is 160-5706 What is the displacement of the boxcar 3 S after the water has settled in the bottom. (Take positive displacement as being to the right.) 7.89 m Suhmit An

Answer 1

The final velocity of the boxcar is 0 m/s and the displacement of the boxcar after the water has settled is 0 m.

Step-by-step explanation:

To find the displacement of the boxcar after the water has settled in the bottom, we need to consider the conservation of momentum. The total initial momentum of the system is zero since the boxcar is at rest.

The mass of the empty boxcar is 2800 kg. After the water fills the floor of the boxcar uniformly, the total mass of the system becomes 5000 kg (2800 kg empty boxcar + 2200 kg water).

Since the boxcar was at rest and the total initial momentum is zero, the final momentum of the system after the water has settled will also be zero. Therefore, the final velocity of the boxcar is 0 m/s.

Hence, the displacement of the boxcar after the water has settled in the bottom is 0 m.