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Why is there such a big difference between the velocity of the aircraft deduced by the Aclay formula and the velocity deduced according to the kinetic energy theorem? I'm referring to a low speed of light, say 1% of the speed of light, and I get up to 10 times the error.

The situation is about this, let's say, well, let's say that the mass-energy conversion rate of the nuclear fusion engine is 0.23%, the working fluid injection speed is about 0.05 times the speed of light, the vehicle weighs 2 tons, the full load of nuclear fuel is 500 kilograms, adding up to 2.5 tons, and the dry mass ratio is 1.25, and now you want to accelerate the aircraft to 1% of the speed of light, is it possible? Why?

I've seen this problem for the past two days, and I've been calculating it, but it's just not right.

I don't care according to Tsiolkovsky's formula (V1=W1*lnM/m. ), or Aclay formula (M/m = (1+V1/1-V1) C/2*W1 power) [Note: V1 is the final velocity of the aircraft, W1 is 0.05 times the speed of light of the fuel working fluid injection velocity, M is the initial mass of the aircraft 2.5 tons, m is the final mass of the aircraft 2 tons, and M/m is the dry mass ratio of 1.25. 】

According to the above data, the maximum speed of the calculated aircraft exceeds 1% of the speed of light.

But the problem is that it is not right to use the speed of the aircraft to set the kinetic energy theorem and the mass-energy equation in reverse. According to E1=1/2mv2, when the speed of the aircraft is 1% of the speed of light, that is, 3000km/s, the kinetic energy E1 of the aircraft is 0.5x2000kgx(3000km/s)2, and the calculation is 15 power of E1=9x10.

However, using the mass-energy equation to calculate, 500 kg of nuclear fuel, the mass-energy conversion rate is 0.23% (helium-3 + helium-3 fusion), according to E2 = 0.23% mc2, E2 = 0.23%x500kgx (9x10 to the 16th power), and finally calculated E2 = 10.35x10 to the 16th power, compared with the above E1, more than ten times.

I wondered, why is there such a big error? Even if you add some energy utilization problems, it's not so big, I've been thinking about it for two days, I can't figure it out, is there a god who understands this, do you want to point out the problem? Did I make a mistake in my calculations? What's wrong?

Waiting online, I'm in a hurry!

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