anonymous
  • anonymous
n astronaut having mass 320 kg with equipment included is attempting an untethered space walk. The astronaut is initially at rest with respect to the nearby spacecraft, but discharges 30.0 g of nitrogen gas at 900.0 m/s from a portable propulsion unit. How fast is the astronaut moving after doing that? 0.36 m/s, 0.084 m/s , 27 m/s, or 84 m/s ?? :/
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Michele_Laino
  • Michele_Laino
here we have to apply the momentum conservation law
anonymous
  • anonymous
ok!
Michele_Laino
  • Michele_Laino
so we can write this: \[P = 0.03 \times 900 = ...\] is the momentum of the gas discharged

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Michele_Laino
  • Michele_Laino
oops..discharged gas
Michele_Laino
  • Michele_Laino
how much is P?
anonymous
  • anonymous
errr 27?
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
the momentum gained by our astronaut is: \[P' = 320 \times V\] where V is his velocity
Michele_Laino
  • Michele_Laino
so we can write: \[27 = 320 \times V\] what is V?
anonymous
  • anonymous
0.984375? so our solution is 0.084 m/s ?
Michele_Laino
  • Michele_Laino
\[V = \frac{{27}}{{320}} = {\text{0}}{\text{.084375}}\]
Michele_Laino
  • Michele_Laino
so V=0.084
anonymous
  • anonymous
so is that our final solution? :O
Michele_Laino
  • Michele_Laino
yes!
anonymous
  • anonymous
yay!! thank you!!
Michele_Laino
  • Michele_Laino
thank you!! :)

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