(8 Pts) An astronaut in her space suit has a total mass of 100 kg, including sui
ID: 1783325 • Letter: #
Question
(8 Pts) An astronaut in her space suit has a total mass of 100 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 15- kg oxygen tank away from her spacecraft with a speed of 10 m/s to propel herself back toward it. Determine the maximum distance she can be from the craft and still return within 2.00 min. (the amount of time the air in her helmet remain breathable). 5.Explanation / Answer
Here we use The law of conservation of linear momentum
mv = MV ; m=15kg,v=10m/s; M = 100-15=85kg
Hence V = 15*10/85 =1.764m/sec
Distance covered in 2m or 2*60 sec is
= V*t = 1.764*120=211.76m
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