(a) Determine the maximum distance she can be from the craft and still return within 1.80 min (the amount of time the air in her helmet remains breathable). m (b) Explain in terms of Newton's laws of motion why this strategy works.

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An astronaut in her space suit has a total mass of m₂ = 83.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's
on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m₂ = 12.0 kg away from her spacecraft with a speed
v = 7.50 m/s to propel herself back toward it (see figure).
$
(a) Determine the maximum distance she can be from the craft and still return within 1.80 min (the amount of time the air in her helmet remains
breathable).
m
(b) Explain in terms of Newton's laws of motion why this strategy works.
Transcribed Image Text:An astronaut in her space suit has a total mass of m₂ = 83.0 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft, she throws her oxygen tank of mass m₂ = 12.0 kg away from her spacecraft with a speed v = 7.50 m/s to propel herself back toward it (see figure). $ (a) Determine the maximum distance she can be from the craft and still return within 1.80 min (the amount of time the air in her helmet remains breathable). m (b) Explain in terms of Newton's laws of motion why this strategy works.
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