Momentum attained by a laser beam

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A spaceship with a mass of 1500 kg can achieve a speed of approximately 1073.31 m/s after one day of emitting a 10 kW laser beam in space. The total energy output from the laser over this period is calculated to be 864,000,000 J. To understand the momentum of the emitted photons, the relevant equations include E=pc and p=h/λ. The discussion emphasizes the relationship between energy, momentum, and frequency of the laser light. Further calculations are suggested to explore the number of photons generated per second and their impact on momentum.
jstrike
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A small spaceship, with a mass of 1500 kg (including occupants), is at rest in outer space with negligible gravitational forces acting on it. If the astronaut turns on a 10kW laser beam that points out of the ship into the deep of space, what speed will the ship attain in 1 day because of the momentum carried away by the beam?

W=J/s
10000W=10000J/s
10000*60*60*24= 864000000J
864000000=.5*1500v^2
v= 1073.31

where do i go from here?
 
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What's the equation for the momentum of a photon and it's energy.
How many photons/second of this momentum can you generate from this laser power
 
E=pc
p= h/ lamda
E= hc/ frequency
play with these formulas by sub. then you should get it.. by the way the p=momentum
 
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