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Jump to. Print Calculator -el Periodic Table stion 1 of 10 Map Sapling Learning

ID: 1794261 • Letter: J

Question

Jump to. Print Calculator -el Periodic Table stion 1 of 10 Map Sapling Learning 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 124 kg and the bag of tools has a mass of 10.0 kg. If the astronaut is moving away from the space station at 2.10 m/s initially, what is the minimum final speed of the bag of tools (with respect to the space station) that will keep the astronaut from drifting away forever? Number 1.458 m/s There is a hint available bottom divider bar. Click on the divider bar again to hide the hint. Close Hint @ Previous Give Up & View solution O Check Answer 0 Next -el Ex about us careers privacy policy terms of use contact us help 27 0,,

Explanation / Answer

m1 = 124 kg, m2 = 10 kg

u1 = u2 = 2.10 m/s

From conservation of momentum

m1 u1 + m2 u2 = m1 v1 + m2 v2

124 * 2.10 + 10 * 2.10 = 10 * v2

v2 = 281.4 / 10

minimum final speed v2 = 28.14 m/s