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- Jun 4, 2015
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Do the feats match up?
Namu and Goku can jump high into the sky. How high? Google AI says "Nam can jump at least several feet high" lol. I've seen people say 40 feet (12 metres) and 300m. 12 metres seems way too low, because iirc they looked the size of birds to when the camera was at ground level. 12 metres is only a three to four storey apartment block. I'm thinking they were even higher than a 20 storey building, or 60m.
Even jumping "only" 60m, if Namu is around 60kg, he'd need to jump with lots of force. He has to go 60m in maybe 5 seconds? Could be quicker or slower. That's 12m/s. So he has to accelerate to above that speed (since gravity and air resistance are slowing him down while he's in the air) well within a second. Basically "instantly".
I'm not a physicist and don't remember a-level mechanics. From googling, the simplest equations to estimate it seem to be (these assume no air resistance):
mgh=1/2mv^2 -- mgh is the gravitational potential energy (GPE) at the top of the jump. The other side is the kinetic energy needed at the beginning of the jump. By the top all the kinetic energy will have been converted to GPE.
Rearranged:
v = √(2gh) -- g is acceleration due to gravity 9.81, h is height. V is the initial velocity needed.
v=Root(2*9.81*60)=34.3m/s
F=ma
Acceleration would be maybe 34.3/0.5 if it takes 0.5 seconds between pushing up with his legs and leaving the ground (maybe this is inaccurate). That's 68.6m/s/s.
F=60*68.6=4116N
That's like lifting 400kg in 0.5 seconds from whatever depth Namu's legs start at? Does it make sense?
Instead of F=ma we can use the impulse force equation (I suppose it's just the same, just both sides multiplied by time lol) F*t=m*v
F=(mv)/t = (60 * 34.3)/0.5=4116N.
So Namu should have a 400kg squat, and be able to lift that within half a second, meaning it can't be near his max. 21stBT Goku should have legs that can handle the same, if not a little more.
22nd is even stronger, and BoZ even stronger.
Meanwhile on Kaio's planet, Goku can barely stand up initially. Hw weighs maybe 70kg, so maybe his upper body is only 50kg. In 10 times gravity it's like 500kg. So how can he struggle so much to stand up? He should be to his feet quickly.
Then we have Tao's jump. He should be cool even with 100G. What nearly kills Goku on the way to Namek would be easy for Tao.
No?
Namu and Goku can jump high into the sky. How high? Google AI says "Nam can jump at least several feet high" lol. I've seen people say 40 feet (12 metres) and 300m. 12 metres seems way too low, because iirc they looked the size of birds to when the camera was at ground level. 12 metres is only a three to four storey apartment block. I'm thinking they were even higher than a 20 storey building, or 60m.
Even jumping "only" 60m, if Namu is around 60kg, he'd need to jump with lots of force. He has to go 60m in maybe 5 seconds? Could be quicker or slower. That's 12m/s. So he has to accelerate to above that speed (since gravity and air resistance are slowing him down while he's in the air) well within a second. Basically "instantly".
I'm not a physicist and don't remember a-level mechanics. From googling, the simplest equations to estimate it seem to be (these assume no air resistance):
mgh=1/2mv^2 -- mgh is the gravitational potential energy (GPE) at the top of the jump. The other side is the kinetic energy needed at the beginning of the jump. By the top all the kinetic energy will have been converted to GPE.
Rearranged:
v = √(2gh) -- g is acceleration due to gravity 9.81, h is height. V is the initial velocity needed.
v=Root(2*9.81*60)=34.3m/s
F=ma
Acceleration would be maybe 34.3/0.5 if it takes 0.5 seconds between pushing up with his legs and leaving the ground (maybe this is inaccurate). That's 68.6m/s/s.
F=60*68.6=4116N
That's like lifting 400kg in 0.5 seconds from whatever depth Namu's legs start at? Does it make sense?
Instead of F=ma we can use the impulse force equation (I suppose it's just the same, just both sides multiplied by time lol) F*t=m*v
F=(mv)/t = (60 * 34.3)/0.5=4116N.
So Namu should have a 400kg squat, and be able to lift that within half a second, meaning it can't be near his max. 21stBT Goku should have legs that can handle the same, if not a little more.
22nd is even stronger, and BoZ even stronger.
Meanwhile on Kaio's planet, Goku can barely stand up initially. Hw weighs maybe 70kg, so maybe his upper body is only 50kg. In 10 times gravity it's like 500kg. So how can he struggle so much to stand up? He should be to his feet quickly.
Then we have Tao's jump. He should be cool even with 100G. What nearly kills Goku on the way to Namek would be easy for Tao.
No?
