Undergrad Could a Smoke Detector Serve as a Sail for Spacecraft Propulsion?

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A smoke detector, with its metal plate and alpha source, could theoretically generate a minute net force due to the emission of alpha particles. However, this force is deemed too small to be practically useful as a propulsion method in space. Calculating the mass loss over time using E=mc² suggests that even after 100 years, the mass loss would be negligible. Comparatively, spacecraft like the Deep Space 1 probe utilize significant fuel for propulsion, highlighting the impracticality of using a smoke detector as a sail. Overall, while the concept is interesting, it lacks feasibility for effective space travel.
synch
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Looking at a humble smoke detector - a metal plate with some alpha source on one side. I guess the fission products / apha etc emitted in one direction are absorbed into the metal, and the opposite direction go into space. So there should be a minute net force ? Would that be useful as a "sail" in space ? It seems to me it would be simpler than a thermoelectric generator and ion engine (?)
 
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synch said:
Looking at a humble smoke detector - a metal plate with some alpha source on one side. I guess the fission products / apha etc emitted in one direction are absorbed into the metal, and the opposite direction go into space. So there should be a minute net force ? Would that be useful as a "sail" in space ? It seems to me it would be simpler than a thermoelectric generator and ion engine (?)
Why are you calling alpha decay "fission"?

https://en.wikipedia.org/wiki/Nuclear_fission

https://en.wikipedia.org/wiki/Alpha_decay
 
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synch said:
Looking at a humble smoke detector - a metal plate with some alpha source on one side. I guess the fission products / apha etc emitted in one direction are absorbed into the metal, and the opposite direction go into space. So there should be a minute net force ? Would that be useful as a "sail" in space ? It seems to me it would be simpler than a thermoelectric generator and ion engine (?)

Yeah a minute force would be expected, but far too small to be useful. To estimate how small it is, figure out how much mass loss the smoke detector experiences in a year, and then use ##E=mc^2## My guess is that after 100 years, the mass loss would still be far too small to measure by ordinary means.

By contrast, the Deep Space 1 probe carries 36kg of fuel for the ion thruster.
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...