anonymous
  • anonymous
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?
Physics
chestercat
  • chestercat
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shamim
  • shamim
can u tell me the result option
anonymous
  • anonymous
The answer is 1.9 mm/s.
shamim
  • shamim
ok

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shamim
  • shamim
i m trying
shamim
  • shamim
i got the result velocity is 759 m/s
shamim
  • shamim
should i explain my procedure
anonymous
  • anonymous
Yes, show me the work you did.
shamim
  • shamim
ok i m showing
shamim
  • shamim
let m= mass p=power t=time F=force s= distance
shamim
  • shamim
v=final velocity
shamim
  • shamim
a= acceleration
shamim
  • shamim
Now\[P=\frac{ W }{ t }=\frac{ Fs }{ t }=F\frac{ s }{ t }=Fv\]
anonymous
  • anonymous
What is the distance, s?
shamim
  • shamim
\[or, 10000=Fv \]
shamim
  • shamim
we know work= force* displacement or distaance
shamim
  • shamim
or, \[F=10000/v\]
shamim
  • shamim
now we know \[F=ma\]
shamim
  • shamim
or, \[F=1500a\]
shamim
  • shamim
or, \[10000/v=1500a\]
shamim
  • shamim
r u getting my work
shamim
  • shamim
or, \[a=10000/1500v\]
shamim
  • shamim
now another law of motion is \[v=u+at=0+at=at=(10000/1500v) \times 24 \times 60 \times 60\]
shamim
  • shamim
now solve it for v
anonymous
  • anonymous
Never mind. I found a formula for this problem, but thanks for the help.

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