dt什么意思,⣨ۺõͲǽ߷

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1⣬漰΢ּ΢е㸴ӣҲѣ£(1) F=d(mv)/dt ɵãFdt=d(mv)=m0d(v/(1-v²/c²))߶ֵãF(T-0)=m0[V/(1-V²/c²)-0] FT(1-V²/c²)=m0VʽӦñ߽t=0ʱv=0t=Tʱv=VʽɽãF²T²(1-V²/c²)=(m0V)²V²=1/[1/c²+(m0/ FT)²]=(cFT)²/(F²T²+c²m0²)V=cFT/(F²T²+c²m0²)=c*100000*2592000/(100000²*2592000²+300000000²*1000²)=2.592c/(1²*2.592²+3²*1²)=2.592c/(6.718464+9)2.592c/3.964650.65378c1.96*10^8m/sȷԼ196133238.588m/s(2) ɴںṩıϵУ΢ʱdt΢ʱdtĹϵΪdt=dt/(1-v²/c²)vtĺ(1)֪v²/c²=1/[1 +(m0c/ Ft)²]1-v²/c²=(m0c/ Ft)²/[1 +(m0c/ Ft)²]=c²m0²/(F²t²+c²m0²)=1/(1+ t²F²/c²m0²) dt= dt/(1+ t²F²/c²m0²)=(cm0/F)d[arsinh(tF/cm0)]=(cm0/F)dln[(tF/cm0)+(1+ t²F²/c²m0²)] õ˫Һ΢֡߶ֵãT=(cm0/F)[arsinh(TF/cm0)]-0=(cm0/F)ln[(TF/cm0)+(1+ T²F²/c²m0²)]=(cm0/F)ln[(100000*2592000/300000000*1000)+(1+ T²F²/c²m0²)]=(300000000*1000/100000)ln[0.864+(1+ 0.864²)]3000000ln2.s27.15daysȷԼ2345603.369s(3) ӵϲ仯ٶȡʱ֮ϵΪds=vdt= cFtdt/(F²t²+c²m0²)=(c²m0/F)d(1+F²t²/c²m0²)߶ֵãS-0=(c²m0/F)[(1+F²T²/c²m0²)-1]S=(c²m0/F)[(1+100000²2592000²/300000000²1000²)-1]=(300000000²*1000/100000)[(1+0.864²)-1]2.894*10^14mȷԼ.286mʱӷɴϲS=S*(1-V²/c²)=S/(1+ T²F²/c²m0²)=S/(1+ 0.864²)2.19*10^14mȷԼ.955m2ᷨ⣬ǰҲŴȣʱԵģͬοϵеʱ䲻ֱȽϣֻȡͬһοϵԲͬοϵе̵IJʱȽϣΣʱͿռԵģԼٶҲԵģɴĹԼٶڵϵIJڷɴϵIJһDz9.81m/s²ٶȵӶСٴΣȻɴϵӰڳȻɴٶȵӶ̣ɴϵԼٶȱøСӰڷ䳤ԽԽ졣ڼٶȵٴ