Astronaut Jennifer’s lifeline to her spaceship comes loose and she finds herself stranded, “floating” 100 m from the mothership. She suddenl

Question

Astronaut Jennifer’s lifeline to her spaceship comes loose and she finds herself stranded, “floating” 100 m from the mothership. She suddenly throws her 2.00-kg wrench at 20 m/s in a direction away from the ship. If she and her spacesuit have a combined mass of 200 kg, how long does it take her to coast back to her spaceship

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Tryphena 6 months 2021-07-31T12:32:40+00:00 1 Answers 22 views 0

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    2021-07-31T12:34:28+00:00

    Answer:

    The time it will take the astronaut to coast back to her ship is 500 seconds

    Explanation:

    Mass of wrench, m₁ = 2 kg

    Mass of astronaut with spacesuit, m₂ = 200 kg

    Velocity of wrench, v₁ = 20 m/s

    Velocity of astronaut with spacesuit v₂

    Distance between the astronaut and the ship is 100 m

    As linear momentum is conserved

    m_1v_1+m_2v_2=0\\\\\Rightarrow v_2=\frac{m_1v_1}{m_2}\\\\\Rightarrow v_2=\frac{2\times 20}{200}\\\\\Rightarrow v_2=0.2\ m/s

    Time =  \frac{ Distance}{Speed}

    Time=\frac{100}{0.2}=500\ s

    Hence, The time it will take the astronaut to coast back to her ship is 500 seconds

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