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## Idealist 2 years ago 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?

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1. shamim

can u tell me the result option

2. Idealist

The answer is 1.9 mm/s.

3. shamim

ok

4. shamim

i m trying

5. shamim

i got the result velocity is 759 m/s

6. shamim

should i explain my procedure

7. Idealist

Yes, show me the work you did.

8. shamim

ok i m showing

9. shamim

let m= mass p=power t=time F=force s= distance

10. shamim

v=final velocity

11. shamim

a= acceleration

12. shamim

Now$P=\frac{ W }{ t }=\frac{ Fs }{ t }=F\frac{ s }{ t }=Fv$

13. Idealist

What is the distance, s?

14. shamim

$or, 10000=Fv$

15. shamim

we know work= force* displacement or distaance

16. shamim

or, $F=10000/v$

17. shamim

now we know $F=ma$

18. shamim

or, $F=1500a$

19. shamim

or, $10000/v=1500a$

20. shamim

r u getting my work

21. shamim

or, $a=10000/1500v$

22. shamim

now another law of motion is $v=u+at=0+at=at=(10000/1500v) \times 24 \times 60 \times 60$

23. shamim

now solve it for v

24. Idealist

Never mind. I found a formula for this problem, but thanks for the help.

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