hey. Please does anyone know how to solve this question An astronaut,including a

Question

hey. Please does anyone know how to solve this question
An astronaut,including all the equipment she carries has a totalmass of 50 kg. She is stranded in space 8 m away from herspacecraft and only 30 minutes of air remaining. She wishes toreturn to her spacecraft,but no means of proplusion other thanthrowing a spanner of mass 0.25kg.The act of throwing takes 24 msto impart a force to the spanner. What is the minimum force withwhich the spanner must be thrown in order for her to return beforeshe dies? and there is no one on the spacecraft that can helpher hey. Please does anyone know how to solve this question
An astronaut,including all the equipment she carries has a totalmass of 50 kg. She is stranded in space 8 m away from herspacecraft and only 30 minutes of air remaining. She wishes toreturn to her spacecraft,but no means of proplusion other thanthrowing a spanner of mass 0.25kg.The act of throwing takes 24 msto impart a force to the spanner. What is the minimum force withwhich the spanner must be thrown in order for her to return beforeshe dies? and there is no one on the spacecraft that can helpher

Explanation / Answer

time available = 30min - 24ms = 1800s - 24ms = 1799.976sec ~1800 sec approx ! speed needed to reach spacecraft in this time = distance/time= 8m/1800sec momentum transfered = mv = 50*8/1800 =2/9 Kgm/s =2/9 Ns =momentum given to spanner
from momentum impulse equation impulse = 2/9 Ns = force*time
F*24ms = 2/9 Ns force F = 9.26 N

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