An uncovered hopper railcar rolls without friction or air resistance along a lev

Question

An uncovered hopper railcar rolls without friction or air resistance along a level track at a speed of 7 m/s. The mass of the railcar is 60000 kg. As the railcar is rolling along it starts to rain heavily and the railcar begins to collect rainwater at a rate of 1.5 kg/sec. What is the magnitude of the acceleration of the railcar (in micrometers per second squared) after 2 hours of rainfall? An uncovered hopper railcar rolls without friction or air resistance along a level track at a speed of 7 m/s. The mass of the railcar is 60000 kg. As the railcar is rolling along it starts to rain heavily and the railcar begins to collect rainwater at a rate of 1.5 kg/sec. What is the magnitude of the acceleration of the railcar (in micrometers per second squared) after 2 hours of rainfall? An uncovered hopper railcar rolls without friction or air resistance along a level track at a speed of 7 m/s. The mass of the railcar is 60000 kg. As the railcar is rolling along it starts to rain heavily and the railcar begins to collect rainwater at a rate of 1.5 kg/sec. What is the magnitude of the acceleration of the railcar (in micrometers per second squared) after 2 hours of rainfall?

Explanation / Answer

mass of the rail car M = 60000 kg speed of the railcar v = 7 m/s The water filling rate 1.5 kg/sec After 7200 s (2 hr), The mass of the railcar is M' = 60000 + 1.5*7200 = 70800 kg according to conservation of momentum, Mv = M'v' v' = Mv/M' = 60000*7/70800 = 5.932 m/s

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