Question

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?

Answer 1

can u tell me the result option

Answer 2

The answer is 1.9 mm/s.

Answer 3

ok

Answer 4

i m trying

Answer 5

i got the result velocity is 759 m/s

Answer 6

should i explain my procedure

Answer 7

Yes, show me the work you did.

Answer 8

ok i m showing

Answer 9

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

Answer 10

v=final velocity

Answer 11

a= acceleration

Answer 12

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

Answer 13

What is the distance, s?

Answer 14

\[or, 10000=Fv \]

Answer 15

we know work= force* displacement or distaance

Answer 16

or, \[F=10000/v\]

Answer 17

now we know \[F=ma\]

Answer 18

or, \[F=1500a\]

Answer 19

or, \[10000/v=1500a\]

Answer 20

r u getting my work

Answer 21

or, \[a=10000/1500v\]

Answer 22

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

Answer 23

now solve it for v

Answer 24

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