russ_watters
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Unless you attach another energy storage device to it, like a capacitor*.Ibix said:It would, minus losses in the motor and assuming a motor running as a generator is anything like a good generator. But there isn't time to spin up to 10kW output before you're out of energy. In free fall it would take 2s to reach that power output, in which time the weight would fall 20m. You can't accelerate it faster than that, so you can't achieve that power output.
If you gear the generator so it spins fast even when the weight is moving slowly the braking from the generator will have the mechanical advantage on its side and the weight will accelerate very slowly and you'll never get much power out. There's no way of escaping the rather slow initial energy release of this device.

Sorry, couldn't resist.
*Also, you could probably adjust the deceleration rate to achieve it for part of the drop or create a profile where you let it accelerate in freefall for the necessary amount of time that the rest of it (including deceleration) outputs 10kW.