An unfortunate astronaut loses his grip during a spacewalk and finds 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 m a = 124 kg and the bag of tools has a mass of m b = 13.0 kg. If the astronaut is moving away from the space station at v i = 2.10 m / s initially, what is the minimum final speed v b , f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?
<span>An automobile with a mass of 1450 kg is parked on a moving flatbed railcar; the flatbed is 1.5 m above the ground. The railcar has a mass of 38,500 kg and is moving to the right at a constant speed of 8.7 m/s on a frictionless rail... </span>