Comments by "geemy" (@geemy9675) on "World's Highest Jumping Robot" video.
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you didn't watch the video till the end right? 110ft is already crazy high, but a 10x bigger, 1000x heavier version, way taller than a human, although much more complicated to make would only (theoretically) jump 15-20% higher thanks to less air resistance/mass.
even if they can hypothetically make it and not break at every landing,if you expected it to jump ~10x higher, no luck, for that it would need to have initial speed x sqrt(10) and total energy x10000 or 10x more energy/mass which is limited by the spring material energy/mass.
lighter motor /battery could only allow 20% higher jump, and scaling the robot only 25%
so hard limit if you optimized every paramater is maybe somewhere ~170ft
from there, any incremental improvement would face difficulties to increase the size and air resistance limiting the gains
whatever the size and whatever the motor/battery weight until we find materials that can store much more energy than carbon fiber/rubber.
Although a completely different problem, it's a bit like wheel driven streamliners even packing 5000hp, super efficient aero, kinda hit a wall around 500mph because they can't send more power to the ground without losing too much speed because of the drag
you'd need different tire compound , or to run it on a track instead of salt flats.
by the way, the moon/mars version could have a different design because air resistance wouldn't count
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