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An open rail car of initial mass 8000 kg is moving at 5.00 m/s when rocks begin to fall into it from a conveyor belt.

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An open rail car of initial mass 8000 kg is moving at 5.00 m/s when rocks begin to fall into it from a conveyor belt. The rate at which the mass of rocks increases is 500 kg/s. Find the speed of of the train car after rocks have fallen into the car for a total of 4.60 s. m/sAn unfortunate astronaut loses his grip during a spacewalk and nds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort. the astronaut throws his bag of tools in the direction of his motion away from the space station. The astronaut has a mass of ma = 124 kg and the bag of tools has a mass of mh = 16.0 kg. If the astronaut is moving awayr from the space station at ii: = 2.\") ms initially. what is the minimum nal speed obj of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever? em 2 ms During mating season, male bighorn sheep establish dominance with Ram head-butting contests that can be heard up to a mile away. When two males A butt heads. the winner is the one that knocks the other backward. B W E Five rams vie for dominance in a small herd of bighorn sheep. Their relative C masses and top speeds are given in the table. Order the rams from rst to D last. based on how the}.r would place in headtohead competition. Assume E .1. 2 m ' 1 4 the rams lock together after they collide. First place Last place

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