East Central University x O sapinglearning com Map Sapling Learning An unfortuna

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East Central University x O sapinglearning com 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 In a last ditch effort, the astronaut throws his bag of tools in the direction of his from the space station). The astronaut has a mass of 113 kg and the bag of tools has a mass of 19.0 kg. If the astronaut is moving away from the space station at 1.20 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? Previous ® Give Up & view solution 2 check Answer 0 Next Exit Hint. Either momentum or energy are conserved in this scenario, but not both. How do you decide which? Keep in mind that there are no external forces acting on either the astronaut or the bag of tools about us careers partners privacy policy terms of use contact us help D 2011-2017 Sapling Learning Inc. Lenovo O Hel 110S

Explanation / Answer

Use conservation of momentum to solve this problem:

m1*u1 + m2*u2 = m1*V1 + m2*V2

m1 = mass of astronaut = 113 Kg
m2 = mass of tool bag = 19 Kg
u1 = u2 = 1.2 m/s before the astronaut throw the tool bag.

In order to keep the astronaut from drifting away forever, his velocity V1 must be 0 after he throw the tool bag away. So,

113 * 1.2 + 19 * 1.2 = 0 + 19 * V2

V2 = 8.33 m/s.

8.33 m/s the minimum final speed of the bag of tools (with respect to the space station) that will keep the astronaut from drifting away forever

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