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Idealist

A small spaceship whose mass is 1.5x10^3 kg (include-ing an astronaut) is drifting in outer space with negligible gravitational forces acting on it. If the astronaut turns on a 10 kW laser beam, what speed will the ship attain in 1.0 day because of the momentum carried away by the beam?

  • one year ago
  • one year ago

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  1. shamim
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    can u tell me the result option

    • one year ago
  2. Idealist
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    The answer is 1.9 mm/s.

    • one year ago
  3. shamim
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    ok

    • one year ago
  4. shamim
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    i m trying

    • one year ago
  5. shamim
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    i got the result velocity is 759 m/s

    • one year ago
  6. shamim
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    should i explain my procedure

    • one year ago
  7. Idealist
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    Yes, show me the work you did.

    • one year ago
  8. shamim
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    ok i m showing

    • one year ago
  9. shamim
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    let m= mass p=power t=time F=force s= distance

    • one year ago
  10. shamim
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    v=final velocity

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  11. shamim
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    a= acceleration

    • one year ago
  12. shamim
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    Now\[P=\frac{ W }{ t }=\frac{ Fs }{ t }=F\frac{ s }{ t }=Fv\]

    • one year ago
  13. Idealist
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    What is the distance, s?

    • one year ago
  14. shamim
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    \[or, 10000=Fv \]

    • one year ago
  15. shamim
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    we know work= force* displacement or distaance

    • one year ago
  16. shamim
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    or, \[F=10000/v\]

    • one year ago
  17. shamim
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    now we know \[F=ma\]

    • one year ago
  18. shamim
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    or, \[F=1500a\]

    • one year ago
  19. shamim
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    or, \[10000/v=1500a\]

    • one year ago
  20. shamim
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    r u getting my work

    • one year ago
  21. shamim
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    or, \[a=10000/1500v\]

    • one year ago
  22. shamim
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    now another law of motion is \[v=u+at=0+at=at=(10000/1500v) \times 24 \times 60 \times 60\]

    • one year ago
  23. shamim
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    now solve it for v

    • one year ago
  24. Idealist
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    Never mind. I found a formula for this problem, but thanks for the help.

    • one year ago
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